Written within the tradition of Wittgenstein's work, these eight original essays in philosophical psychology are either by-products of efforts to understand Wittgenstein's later writings or applications of techniques and approaches derived from Wittgenstein to problems about which he did not say a great deal.
Written within the tradition of Wittgenstein's work, these eight original essays in philosophical psychology are either by-products of efforts to understand Wittgenstein's later writings or applications of techniques and approaches derived from Wittgenstein to problems about which he did not say a great deal.
This volume will provide invaluable assistance for mathematicians, historians of mathematics and users of mathematics in the retrieval of information about mathematicians and topics in mathematics and closely related fields.
A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject.
A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's storyIn 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today.
Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.
Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period.
Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative.
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics is one of humanity's most successful yet puzzling endeavors.
Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do-and how that evolves and changes over time.
A stunning anniversary edition of Alice's adventures, illustrated by Salvador Dali Commemorating the 150th anniversary of one of the most beloved classics of children's literature, this illustrated edition presents Alice like you've never seen her before.
A NEW YORK TIMES BESTSELLERThe official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira KnightleyIt is only a slight exaggeration to say that the British mathematician Alan Turing (19121954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decadesall before his suicide at age forty-one.
The computer science problem whose solution could transform life as we know itThe P-NP problem is the most important open problem in computer science, if not all of mathematics.
An exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind.
A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.
An unparalleled illustrated history of spherical trigonometry from antiquity to todayHeavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth.
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick.
Techniques for deciphering texts by early mathematiciansWritings by early mathematicians feature language and notations that are quite different from what we're familiar with today.
While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail.
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period.
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma.
When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "e;conflicts of conscience"e;--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy.
The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world.
This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science?
This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science?