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100 Best Math Books

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Gödel, Escher, Bach
An Eternal Golden Braid
by Douglas R. Hofstadter (Feb 05, 1999)
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Douglas Hofstadter's book is concerned directly with the nature of “maps” or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal syste...
Fermat's Enigma
The Epic Quest to Solve the World's Greatest Mathematical Problem
by Simon Singh (Sep 07, 1998)
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xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem look...
Infinite Powers
How Calculus Reveals the Secrets of the Universe
by Steven Strogatz (Apr 14, 2020)
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From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus—how it works and why it makes our lives immeasurably better.   Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in ...
Euclid's Elements
by Euclid (Dec 31, 2001)
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Green Lion Press has prepared a new one-volume edition of T.L. Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposi...
Recommended by
Paul Graham
The Man Who Knew Infinity
A Life of the Genius Ramanujan
by Robert Kanigel (Apr 26, 2016)
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Soon to be a major motion picture, the story of one of the most improbable and productive collaborations ever chronicled, between a young unschooled Indian prodigy and a great English mathematician.In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the preeminent English mathematician's opinion on several ideas he had abo...
Recommended by
Paul Graham
An Introduction to Statistical Learning
with Applications in R (Springer Texts in Statistics)
by Gareth James (Jun 24, 2013)
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An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance to marketing to astrophysics in the past twenty years. This book presents some of the most important modelin...
Metamagical Themas
Questing for the Essence of Mind and Pattern
by Douglas Hofstadter (Dec 31, 1984)
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Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think....
Recommended by
Patrick Collison
Mathematical Mindsets
Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching
by Jo Boaler (Nov 01, 2015)
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Banish math anxiety and give students of all ages a clear roadmap to success. Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler--Stanford researcher, professor of math education,...
Chicka Chicka 1, 2, 3
by Bill Martin Jr. (Aug 01, 2004)
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1 told 2 and 2 told 3, "I'll race you to the top of the apple tree." One hundred and one numbers climb the apple tree in this bright, rollicking, joyous book for young children. As the numerals pile up and bumblebees threaten, what's the number that saves the day? (Hint: It rhymes with "hero.") Read and count and play and laugh to learn the surpri...
Calculus Made Easy
by Silvanus P. Thompson (Oct 14, 1998)
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Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Cal...
Recommended by
Naval Ravikant
Applied Predictive Modeling
by Max Kuhn (May 16, 2013)
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This text is intended for a broad audience as both an introduction to predictive models as well as a guide to applying them. Non- mathematical readers will appreciate the intuitive explanations of the techniques while an emphasis on problem-solving with real data across a wide variety of applications will aid practitioners who wish to extend their ...
Recommended by
Kirk Borne
The Art of Statistics
How to Learn from Data
by David Spiegelhalter (Sep 03, 2019)
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The definitive guide to statistical thinkingStatistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the...
Recommended by
Dan Davies
The Planiverse
Computer Contact with a Two-Dimensional World
by A.K. Dewdney (Oct 12, 2000)
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A classic book about life in a two-dimensional universe, written by a well-known author. Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious ma...
Recommended by
Neil deGrasse Tyson
One Grain Of Rice
A Mathematical Folktale
by Demi (Apr 01, 1997)
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A reward of one grain of rice doubles day by day into millions of grains of rice when a selfish raja is outwitted by a clever village girl....
Math Curse
by Jon Scieszka (Oct 01, 1995)
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Did you ever wake up to one of those days where everything is a problem? You have 10 things to do, but only 30 minutes until your bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 ...
Elements of Information Theory
by Thomas M. Cover (Jul 17, 2006)
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All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each ...
Recommended by
Nassim Nicholas Taleb
Routines for Reasoning
Fostering the Mathematical Practices in All Students
by Grace Kelemanik (Sep 26, 2016)
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"Routines for Reasoning will help teachers think a lot harder about what the mathematical practices mean...This book should be on every mathematics teacher's bookshelf." - Elham Kazemi, Geda and Phil Condit Professor in Mathematics Education, University of Washington; coauthor of Intentional Talk"This book is a must read for every K-12 teacher seri...
Recommended by
David Wees
The Princeton Companion to Mathematics
by Timothy Gowers (Sep 27, 2008)
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This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of moder...
The Man Who Loved Only Numbers
The Story of Paul Erdos and the Search for Mathematical Truth
by Paul Hoffman (Jan 01, 1998)
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Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries....
The Doorbell Rang
by Pat Hutchins (Oct 26, 1989)
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Each ring of the doorbell brings more friends to share the delicious cookies Ma has made in this beloved classic.This enjoyable read-aloud picture book about friendship, sharing, and cookies can also be used to introduce basic math concepts to young children.The Doorbell Rang was named a Notable Book for Children by the American Library Association...
Our Mathematical Universe
My Quest for the Ultimate Nature of Reality
by Max Tegmark (Feb 03, 2015)
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Our Mathematical Universe is a journey to explore the mysteries uncovered by cosmology and to discover the nature of reality. Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundame...
Concrete Mathematics
A Foundation for Computer Science (2nd Edition)
by Ronald L. Graham (Mar 09, 1994)
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Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."...
Mathematician's Delight
by W. W. Sawyer (Oct 19, 2007)
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"Recommended with confidence" by The Times Literary Supplement, this lively survey starts with simple arithmetic and algebra and proceeds by gradual steps through graphs, logarithms, and trigonometry to calculus and the world of numbers. Generations of readers have found it the ideal introduction to mathematics, offering accessible explanations of ...
Recommended by
Paul Graham
The Elements of Statistical Learning
Data Mining, Inference, and Prediction (Springer Series in Statistics)
by Trevor Hastie (Jul 29, 2003)
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During the past decade there has been an explosion in computation and information technology. With it has come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data...
Zero
by Kathryn Otoshi (Sep 15, 2010)
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Zero is a big round number. When she looks at herself, she just sees a hole right in her center. Every day she watches the other numbers line up to count: "1, 2, 3, 4, 5, 6, 7 . . . !" "Those numbers have value. That's why they count," she thinks. But how could a number worth nothing become something? Zero feels empty inside. She watches One having...
Alexander, Who Used to Be Rich Last Sunday
by Judith Viorst (Aug 30, 1987)
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Last Sunday, Alexander's grandparents gave him a dollar -- and he was rich. There were so many things that he could do with all of that money! He could buy as much gum as he wanted, or even a walkie-talkie, if he saved enough. But somehow the money began to disappear... Readers of all ages will be delighted by this attractive new edition of Judith ...
Journey through Genius
The Great Theorems of Mathematics
by William Dunham (Aug 01, 1991)
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Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the a...
Nonlinear Dynamics And Chaos
With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity)
by Steven H. Strogatz (Apr 19, 1994)
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This textbook is aimed at newcomers to nonlinear dynamics and chaos. The presentation stresses analytical methods, concrete examples, and geometric intuition. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators...
Gödel's Proof
by Ernest Nagel (Nov 30, 2008)
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In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein ...
Calculus
by Michael Spivak (Aug 31, 1994)
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Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and ...
Principles of Mathematical Analysis
by Walter Rudin (Dec 31, 1975)
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Categories: MathScience
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background neede...
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, t...
The Boy Who Loved Math
The Improbable Life of Paul Erdos
by Deborah Heiligman (Jun 25, 2013)
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Most people think of mathematicians as solitary, working away in isolation. And, it's true, many of them do. But Paul Erdos never followed the usual path. At the age of four, he could ask you when you were born and then calculate the number of seconds you had been alive in his head. But he didn't learn to butter his own bread until he turned twenty...
How to Solve It
A New Aspect of Mathematical Method (Princeton Science Library)
by G. Polya (Oct 27, 2014)
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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a ga...
Proofs from the Book
by Martin Aigner (Dec 27, 2000)
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From the Reviews: "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigne...
Life of Fred--Apples
by Stanley F. Schmidt (Jan 01, 2015)
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Numbers that Add to 7, Circles, Ellipses, Reading 6:00 on a Clock, 5 + ? = 7, Days of the Week, Leap Years, Spelling February, Dressing for Cold Weather, 15 Degrees Below Zero (–15º), Deciduous Trees, Deciduous Teeth, Counting by Fives, 3x + 4x = 7x, Archimedes 287 B.C. Wrote The Sand Reckoner and Got Killed Being Rude, ante meridiem (a.m.), Donner...
The Greedy Triangle
by Marilyn Burns (Feb 01, 2008)
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In this lively introduction to shapes and polygons, a bored triangle is turned into a quadrilateral after a visit to the shapeshifter. Delighted with his new career opportunities--as a TV screen and a picture frame--he decides the more angles the better, until an accident teaches him a lesson. Includes special teaching section. Full color....
Probability Theory
The Logic of Science
by E. T. Jaynes (Jun 08, 2003)
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Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers...
Topology by Munkres - International Economy Edition
by James Munkres (Jan 01, 1900)
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This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems an...
Linear Algebra Done Right
by Sheldon Axler (Feb 25, 2004)
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Categories: MathScience
This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to s...
Visual Complex Analysis
by Tristan Needham (Feb 17, 1999)
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This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose s...
Statistical Rethinking
A Bayesian Course with Examples in R and Stan (Chapman & Hall/CRC Texts in Statistical Science)
by Richard McElreath (Dec 20, 2015)
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Statistical Rethinking: A Bayesian Course with Examples in R and Stan builds readers' knowledge of and confidence in statistical modeling. Reflecting the need for even minor programming in today's model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensur...
Information Theory, Inference and Learning Algorithms
by David J. C. MacKay (Sep 24, 2003)
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Information theory and inference, often taught separately, are here united in one entertaining textbook. These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. Th...
Prime Obsession
Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
by John Derbyshire (May 25, 2004)
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In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann Hypothesis remains unsolved, with a one-million-dollar prize ea...
How to Prove It
A Structured Approach, 2nd Edition
by Daniel J. Velleman (Jan 15, 2006)
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Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basi...
Math with Bad Drawings
Illuminating the Ideas That Shape Our Reality
by Ben Orlin (Sep 18, 2018)
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Smart, hilarious, and engaging, MATH WITH BAD DRAWINGS is a delightful re-education in math that empowers readers with a joyful appreciation and powerful understanding of how math works in our daily lives. In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it...
A Book of Abstract Algebra
Second Edition (Dover Books on Mathematics)
by Charles C Pinter (Jan 13, 2010)
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junio...
Linear Algebra and Its Applications, 4th Edition
by Gilbert Strang (Dec 31, 2005)
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Categories: MathScience
Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal ...
A Mathematician's Lament
How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form
by Paul Lockhart (Apr 01, 2009)
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“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning EditionA brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s co...
The Librarian Who Measured the Earth
by Kathryn Lasky (Jan 01, 1994)
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A perfect introduction to mathematical concepts for young readers, written by a Newbery honor-winning author!This colorfully illustrated biography of the Greek philosopher and scientist Eratosthenes, who compiled the first geography book and accurately measured the globe's circumference, is just right for budding mathematicians, scientists, histori...
The Colossal Book of Mathematics
Classic Puzzles, Paradoxes, and Problems
by Martin Gardner (Sep 17, 2001)
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s/t: Classic Puzzles, Paradoxes & ProblemsWhether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary "Mathematical Games" column, w...
Proofs and Refutations
The Logic of Mathematical Discovery (Cambridge Philosophy Classics)
by Imre Lakatos (Oct 15, 2015)
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A novel introduction to the philosophy of mathematics, mostly in the form of a discussion between a group of students and their teacher. It combats the positivist picture and develops a much richer, more dramatic progression....
Doing Bayesian Data Analysis
A Tutorial with R and BUGS
by John K. Kruschke (Nov 09, 2010)
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There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience. Doing Bayesian Data Analysis, A Tutorial Introduction with R and BUGS, is for first year graduate students or advanced undergraduates and provides an acce...
Discovering Statistics Using R
by Andy Field (Apr 04, 2012)
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The R version of Andy Field's hugely popular Discovering Statistics Using SPSS takes students on a journey of statistical discovery using the freeware R. Like its sister textbook, Discovering Statistics Using R is written in an irreverent style and follows the same ground-breaking structure and pedagogical approach. The core material is enhanced by...
How Big Is a Foot?
by Rolf Myller (Jul 01, 1991)
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The King wants to give the Queen something special for her birthday. The Queen has everything, everything except a bed. The trouble is that no one in the Kingdom knows the answer to a very important question: How Big is a Bed? because beds at the time had not yet been invented. The Queen's birthday is only a few days away. How can they figure out w...
The Cookie Fiasco
by Mo Willems (Sep 20, 2016)
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Four friends. Three cookies. One problem. Hippo, Croc, and the Squirrels are determined to have equal cookies for all! But how? There are only three cookies . . . and four of them! They need to act fast before nervous Hippo breaks all the cookies into crumbs!...
Sir Cumference and the Dragon of Pi
by Cindy Neuschwander (Feb 01, 1999)
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Sir Cumference, Lady Di of Ameter, and Radius are back in their second Math Adventure! This time, a potion has changed Sir Cumference into a fire-breathing dragon. Can Radius change him back? Join Radius on his quest through the castle to solve a riddle that will reveal the cure. It lies in discovering the magic number that is the same for all circ...
Bayesian Data Analysis
by Andrew Gelman (Nov 01, 2013)
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Winner of the 2016 De Groot Prize from the International Society for Bayesian AnalysisNow in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied...
Div, Grad, Curl, and All That
An Informal Text on Vector Calculus (Fourth Edition)
by H. M. Schey (Nov 30, 2004)
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Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics....
Measurement
by Paul Lockhart (May 11, 2014)
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For seven years, Paul Lockhart s "A Mathematician s Lament" enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here ...
Mathematics
From the Birth of Numbers
by Jan Gullberg (Jan 01, 1997)
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This extraordinary work takes the reader on a long and fascinating journey--from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, ...
Mathematics
Its Content, Methods and Meaning (3 Volumes in One)
by A. D. Aleksandrov (Jul 07, 1999)
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". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simpl...
The Man Who Counted
A Collection of Mathematical Adventures
by Malba Tahan (May 04, 2015)
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Malba Tahan is the creation of a celebrated Brazilian mathematician who was looking for a way to bring some of the mysteries and delights of mathematics to a wider public. He turned out to be a born storyteller.The adventures of Beremiz Samir, The Man Who Counted, take the reader on an exotic journey in which, time and again, he summons his extraor...
Sir Cumference and the First Round Table
by Cindy Neuschwander (Jul 01, 1997)
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Join Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this geometry-packed math adventure. King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with...
Introduction to Linear Algebra, Third Edition
by Gilbert Strang (Feb 28, 2003)
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Categories: MathScience
This informally written text provides students with a clear introduction into the subject of linear algebra. Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, an...
Secrets of Mental Math
The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
by Arthur Benjamin (Aug 08, 2006)
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These simple math secrets and tricks will forever change how you look at the world of numbers.Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for...
Spaghetti And Meatballs For All!
by Marilyn Burns (Aug 01, 2008)
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Mr. and Mrs. Comfort have arranged tables and chairs to seat 32 people at their family reunion. But the guests have their own ideas for seating. Area and perimeter come alive as the family makes room for everyone. Used in Math By All Means: Area and Perimeter, Grades 5-6....
Naive Set Theory
by Paul R. Halmos (Apr 22, 2015)
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Categories: MathScience
Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosop...
Data Analysis Using Regression and Multilevel/Hierarchical Models is a comprehensive manual for the applied researcher who wants to perform data analysis using linear and nonlinear regression and multilevel models. The book introduces a wide variety of models, whilst at the same time instructing the reader in how to fit these models using available...
Statistics Done Wrong
The Woefully Complete Guide
by Alex Reinhart (Feb 28, 2015)
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Everyone knows that abuse of statistics is rampant in popular media. Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics...
Forecasting
principles and practice
by Rob J Hyndman (Oct 17, 2013)
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Forecasting is required in many situations. Deciding whether to build another power generation plant in the next five years requires forecasts of future demand. Scheduling staff in a call centre next week requires forecasts of call volumes. Stocking an inventory requires forecasts of stock requirements. Telecommunication routing requires traffic fo...
Abstract Algebra
by David S. Dummit (Jul 13, 2003)
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Categories: MathScience
Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercise...
A Remainder of One
by Elinor J Pinczes (Aug 26, 2002)
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Hup, two, three, four! We're in the 25th Army Corps. Queen's count! Two, three! We are the marching infantry! Poor Joe! He wants to march in the parade, but every time the lines are uneven, he must stand aside. What's a poor bug to do? Joe is determined. He studies the problem, relining the twenty-five bugs in his squadron from two lines to three l...
Categories: MathScience
Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics....
Recommended by
Steven Strogatz
The Chess Mysteries of Sherlock Holmes
Fifty Tantalizing Problems of Chess Detection (Dover Recreational Math)
by Raymond M. Smullyan (Jan 17, 2012)
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Here -- from philosopher/logician/puzzlemaker Raymond Smullyan -- are fifty elegant, witty, and altogether unique "chess mysteries." In each problem the solver has to deduce certain events in a game's past. For example: On what square was the White queen captured? or, Is the White queen promoted or original?Since these problems involve the same sor...
Bayesian Statistics the Fun Way
Understanding Statistics and Probability with Star Wars, LEGO, and Rubber Ducks
by Will Kurt (Jul 09, 2019)
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Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples.Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that.This boo...
Computer Age Statistical Inference
Algorithms, Evidence, and Data Science (Institute of Mathematical Statistics Monographs (Series Number 5))
by Bradley Efron (Jul 20, 2016)
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The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we...
All of Statistics
A Concise Course in Statistical Inference (Springer Texts in Statistics)
by Larry Wasserman (Sep 16, 2004)
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Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate stu...
Introduction to Probability
by Joseph K. Blitzstein (Jul 23, 2014)
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Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo MCMC. Additional ap...
Categories: MathScience
A complete guide to the theory and practical applications of probability theoryAn Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through s...
Sir Cumference and the Great Knight of Angleland
by Cindy Neuschwander (Feb 01, 2001)
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Radius is on a quest to earn his knighthood! With only a circular medallion, a mysterious poem, and his own wits to guide him, he must find and rescue a missing king....
The Essential Guide to Effect Sizes
Statistical Power, Meta-Analysis, and the Interpretation of Research Results
by Paul D. Ellis (Jun 30, 2010)
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Categories: MathScience
This succinct and jargon-free introduction to effect sizes gives students and researchers the tools they need to interpret the practical significance of their results. Using a class-tested approach that includes numerous examples and step-by-step exercises, it introduces and explains three of the most important issues relating to the practical sign...
Introduction to Graph Theory
by Richard J. Trudeau (Feb 09, 1994)
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A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exerc...
Anno's Mysterious Multiplying Jar
by Masaichiro Anno (Mar 15, 1999)
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"Superbly demonstrating the conception of factorials in mathematics, the text and pictures combine to present a lesson in a palatable form as well as the pleasure of looking at pictures that only Mitsumasa Anno could invent." — Publishers Weekly"The book moves logically and elegantly from the concrete to the abstract. Once made clear, the concept i...
Statistics for Experimenters
Design, Innovation, and Discovery, 2nd Edition
by George E. P. Box (Apr 30, 2005)
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A Classic adapted to modern timesRewritten and updated, this new edition of Statistics for Experimenters adopts the same approaches as the landmark First Edition by teaching with examples, readily understood graphics, and the appropriate use of computers. Catalyzing innovation, problem solving, and discovery, the Second Edition provides experimente...
Probabilistic Graphical Models
Principles and Techniques (Adaptive Computation and Machine Learning series)
by Daphne Koller (Jul 31, 2009)
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A general framework for constructing and using probabilistic models of complex systems that would enable a computer to use available information for making decisions.Most tasks require a person or an automated system to reason—to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this boo...
Here's Looking at Euclid
From Counting Ants to Games of Chance - An Awe-Inspiring Journey Through the World of Numbers
by Alex Bellos (Apr 19, 2011)
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Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the glob...
Sir Cumference and the Isle of Immeter
by Cindy Neuschwander (Jun 01, 2006)
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When young Per visits her uncle Sir Cumference and his family, she learns how to play the game, "Inners and Edges." After she finds a clue linking the game to the mysterious castle on the island of Immeter, she must figure out how to find the perimeter and area of a circle to unlock the island's secret.Math skills taught include finding the area an...
Number
The Language of Science
by Tobias Dantzig (Jan 30, 2007)
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Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling...
Apple Fractions
by Jerry Pallotta (Apr 09, 2009)
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Best-selling author Jerry Pallotta turns his talents to teaching fractions to kids by using a healthy snack food: apples!Author Jerry Pallotta and illustrator Rob Bolster use a variety of different apples to teach kids all about fractions in this innovative and enjoyable book. Playful elves demonstrate how to divide apples into halves, thirds, four...
The Penny Pot
by Stuart J. Murphy (Aug 08, 1998)
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Life-size coins and a cat named Chester will soon have readers confidently counting coins along with Jessie and her friends at the face-painting booth. This nonfiction picture book is an excellent choice to share during homeschooling, in particular for children ages 6 to 8. It’s a fun way to learn to read and as a supplement for activity books for ...
Understanding Machine Learning
From Theory to Algorithms
by Shai Shalev-Shwartz (May 19, 2014)
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Machine learning is one of the fastest growing areas of computer science, with far-reaching applications. The aim of this textbook is to introduce machine learning, and the algorithmic paradigms it offers, in a principled way. The book provides an extensive theoretical account of the fundamental ideas underlying machine learning and the mathematica...
Math-terpieces
The Art of Problem-Solving
by Greg Tang (Jul 01, 2003)
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In his most ground-breaking book since THE BEST OF TIMES (Fall 2002), Greg Tang underscores the importance of four basic rules in problem-solving. Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns, will guarantee any child success in math. In MATH-TERPIECES, Tang ...
Causality
Models, Reasoning, and Inference
by Judea Pearl (Mar 12, 2000)
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Written by one of the pre-eminent researchers in the field, this book provides a comprehensive exposition of modern analysis of causation. It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, philosophy, cognitive science, and the heal...
How Not to Be Wrong
The Power of Mathematical Thinking
by Jordan Ellenberg (May 26, 2015)
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The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our handsThe math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined t...
Categorical Data Analysis,
by Alan Agresti (Feb 28, 1990)
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Categories: MathScience
"Amstat News" asked three review editors to rate their top five favorite books in the September 2003 issue. "Categorical Data Analysis" was among those chosen.A valuable new edition of a standard reference"A 'must-have' book for anyone expecting to do research and/or applications in categorical data analysis."-"Statistics in Medicine on Categorical...
Calculating the Cosmos
How Mathematics Unveils the Universe
by Ian Stewart (Oct 24, 2016)
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In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning o...
Data Analysis
A Bayesian Tutorial
by Devinderjit Sivia (Jul 26, 2006)
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Statistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis.This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. A...
Exploratory Data Analysis
by John W. Tukey (Dec 31, 1976)
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The approach in this introductory book is that of informal study of the data. Methods range from plotting picture-drawing techniques to rather elaborate numerical summaries. Several of the methods are the original creations of the author, and all can be carried out either with pencil or aided by hand-held calculator....
Mathematics for the Nonmathematician
by Morris Kline (Dec 31, 1984)
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Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Profess...