Mathematics category: 12022 books
John von Neumann
The Scientific Genius Who Pioneered the Modern Computer, Game Theory, Nuclear Deterrence, and Much More
Language: English
Release Date: June 15, 2016
John von Neumann was a Jewish refugee from Hungary considered a “genius” like fellow Hungarians Leo Szilard, Eugene Wigner and Edward Teller, who played key roles developing the A-bomb at Los Alamos during World War II. As a mathematician at Princeton’s Institute for Advanced Study (where Einstein...
Birds and Frogs
Selected Papers of Freeman Dyson, 19902014
Language: English
Release Date: March 25, 2015
This book is a sequel to the volume of selected papers of Dyson up to 1990 that was published by the American Mathematical Society in 1996. The present edition comprises a collection of the most interesting writings of Freeman Dyson, all personally selected by the author, from the period 1990–2014.
The...
The King of Infinite Space
Euclid and His Elements
Language: English
Release Date: April 8, 2014
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, arguably the most influential book in the history of mathematics In The King of Infinite Space,...
by Piermarco Cannarsa, Teresa D'Aprile
Language: English
Release Date: July 15, 2015
Language: English
Release Date: July 15, 2015
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined,...
by Martin Brokate, Götz Kersting
Language: English
Release Date: June 24, 2015
Language: English
Release Date: June 24, 2015
The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents...
Proofs and Refutations
The Logic of Mathematical Discovery
Language: English
Release Date: October 8, 2015
Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical...
by Auguste Comte
Language: English
Release Date: January 19, 2013
Language: English
Release Date: January 19, 2013
This edition features
• a linked Table of Contents, linked Footnotes, and linked Index
CONTENTS
INTRODUCTION.
GENERAL CONSIDERATIONS ON MATHEMATICAL SCIENCE
BOOK I. ANALYSIS.
CHAPTER I. GENERAL VIEW OF MATHEMATICAL ANALYSIS
CHAPTER II. ORDINARY ANALYSIS; OR, ALGEBRA.
CHAPTER III. TRANSCENDENTAL...
Five Equations That Changed the World
The Power and Poetry of Mathematics
Language: English
Release Date: June 5, 2012
A Publishers Weekly best book of 1995!
Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations.
As a regular contributor to daytime's most popular morning news show and an instructor...
Infinite Ascent
A Short History of Mathematics
Language: English
Release Date: August 17, 2011
In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure.
Berlinski focuses on the ten...
by Eli Maor
Language: English
Release Date: October 12, 2011
Language: English
Release Date: October 12, 2011
The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that...
by Mike Hockney
Language: English
Release Date: May 1, 2016
Language: English
Release Date: May 1, 2016
Euler’s Formula is traditionally regarded as the most beautiful equation in all of mathematics. Yet it’s so much more than that. It’s the equation that governs the whole universe and even defines the human soul!It’s the centrepiece of the hyperrational mathematical religion of the Pythagorean...
by Peter F. Erickson
Language: English
Release Date: May 5, 2006
Language: English
Release Date: May 5, 2006
Erickson explores and explains the infinite and the infinitesimal with application to absolute space, time and motion, as well as absolute zero temperature in this thoughtful treatise. Mathematicians, scientists and philosophers have explored the realms of the continuous and discrete for centuries....
Euler's Gem
The Polyhedron Formula and the Birth of Topology
Language: English
Release Date: July 23, 2019
How a simple equation reshaped mathematics
Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From...
Birth of a Theorem
A Mathematical Adventure
Language: English
Release Date: April 14, 2015
In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's...