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Hidden Harmonies: The Lives and Times of the Pythagorean Theorem

by Ellen Kaplan & Robert Kaplan

The untold history of the most famous relation in mathematics and what it illustrates about the nature of human reasoning.


Deep Thinking: What Mathematics Can Teach Us About the Mind

by William Byers

There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs...


Robert Recorde: The Life and Times of a Tudor Mathematician

by Gareth Roberts & Fenny Smith

The inventor of the equals sign (=), Robert Recorde (1510?-1558) was the first English-writing mathematics educator: this book celebrates his work.


The Best Writing on Mathematics 2014

by Mircea Pitici

This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics...


Alan Turing: The Enigma: The Book That Inspired the Film "The Imitation Game"

by Andrew Hodges & Douglas Hofstadter

It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation...


A History of Mathematics

by Carl B. Boyer & Uta C. Merzbach

The updated new edition of the classic and comprehensive guide to the history of mathematics

For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about...


John Napier: Life, Logarithms, and Legacy

by Julian Havil

John Napier (1550–1617) is celebrated today as the man who invented logarithms—an enormous intellectual achievement that would soon lead to the development of their mechanical equivalent in the slide rule:...


Mathematics and the Real World: The Remarkable Role of Evolution in the Making of Mathematics

by Zvi Artstein

In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which  our evolutionary makeup is both a help and a hindrance...


Makers of Mathematics

by Stuart Hollingdale

Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal,...


The KAM Story: A Friendly Introduction to the Content, History, and Significance of Classical Kolmogorov-Arnold-Moser Theory

by H Scott Dumas

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and...


Whatever Happened to the Metric System?: How America Kept Its Feet

by John Bemelmans Marciano

The intriguing tale of why the United States has never adopted the metric system, and what that says about us.

The American standard system of measurement is a unique and odd thing to behold with its esoteric,...


Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

by Victor J. Katz & Karen Hunger Parshall

What is algebra? For some, it is an abstract language of x’s and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields....


The King of Infinite Space: Euclid and His Elements

by David Berlinski

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid’s Elements...


Making Mathematics More Practical: Implementation in the Schools

by Yew Hoong Leong, Eng Guan Tay & Khiok Seng Quek

The book Making Mathematics Practical (published by World Scientific in 2011) proposes a new paradigm in teaching problem solving in secondary school mathematics classrooms. It is a report of the research project...


Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

by Joseph Mazur

While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren’t available before the sixteenth century. What did mathematicians...


Mathematical Olympiad in China (2009-2010): Problems and Solutions

by Bin Xiong & Peng Yee Lee

The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude...


Native American Mathematics

by MIchael P. Closs

There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found...


The Equation that Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry

by Mario Livio

What do the music of J. S. Bach, the basic forces of nature, Rubik's Cube, and the selection of mates have in common? They are all characterized by certain symmetries. Symmetry is the concept that bridges the...


History of Mathematical Sciences: Portugal and East Asia IV

by Luís| Saraiva

Missionaries, and in particular the Portuguese Assistancy of the Society of Jesus, played a fundamental role in the dissemination of Western scientific knowledge in East Asia. They also brought to Europe a deeper...


Topological Library: Part 3: Spectral Sequences in Topology

by SERGUEI PETROVICH NOVIKOV & ISKANDER A TAYMANOV

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s–1960s. The partition of these papers among the volumes is rather...