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› Find signed collectible books: '18 UNCONVENTIONAL ESSAYS ON THE NATURE OF MATHEMATICS'
Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry
Interdisciplinary book that will be useful in several fieldswith a cross-disciplinary subject area, and contributions from researchers of various disciplines
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› Find signed collectible books: 'The Companion Guide to the Mathematical Experience: Study Edition'
This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of "The Mathematical Experience" as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays.
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› Find signed collectible books: 'Descartes' Dream: The World According to Mathematics'
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." The New York Times
"These cogitations can and should be read by every literate person." Science Books and Films
"A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." Philadelphia Inquirer
Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. These essays survey the conditions of civilization that elicit the application of mathematic principles; the effectiveness of these applications; situations in which the applications are beneficial, dangerous, or irrelevant; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional.
Philip J. Davis is Professor Emeritus, Division of Applied Mathematics, Brown University. Reuben Hersh is Professor Emeritus, University of New Mexico, Albuquerque.
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› Find signed collectible books: 'Descartes' Dream: The World According to Mathematics (Dover Science Books)'
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." The New York Times
"These cogitations can and should be read by every literate person." Science Books and Films
"A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." Philadelphia Inquirer
Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual issues could be resolved rationally by local computation. This series of provocative essays takes a modern look at the seventeenth-century thinker's dream, examining the physical and intellectual influences of mathematics on society, particularly in light of technological advances. These essays survey the conditions of civilization that elicit the application of mathematic principles; the effectiveness of these applications; situations in which the applications are beneficial, dangerous, or irrelevant; and how applied mathematics constrain lives and transform perceptions of reality. Highly suitable for browsing, the essays require different levels of mathematical knowledge that range from popular to professional.
Philip J. Davis is Professor Emeritus, Division of Applied Mathematics, Brown University. Reuben Hersh is Professor Emeritus, University of New Mexico, Albuquerque.
More editions of Descartes' Dream: The World According to Mathematics (Dover Science Books):
› Find signed collectible books: 'Guaranteed Heartbreak.'
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› Find signed collectible books: 'Loving and Hating Mathematics: Challenging the Myths of Mathematical Life'
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life.
These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math.
This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
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› Find signed collectible books: 'The Mathematical Experience'
We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises "true facts about imaginary objects" and belongs among the human sciences.
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› Find signed collectible books: 'The Mathematical Experience (Penguin Press Science)'
We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises "true facts about imaginary objects" and belongs among the human sciences.
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› Find signed collectible books: 'The Mathematical Experience, Study Edition'
Winner of the 1983 National Book Award!
"&a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition)
Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications.
The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request.
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› Find signed collectible books: 'The Mathematical Experience, Study Edition (Modern Birkhäuser Classics)'
Winner of the 1983 National Book Award!
"&a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition)
Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications.
The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request.
More editions of The Mathematical Experience, Study Edition (Modern Birkhäuser Classics):
› Find signed collectible books: 'What is Mathematics, Really?'
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.
What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
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› Find signed collectible books: 'L'Univers mathématique (French Edition)'
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› Find signed collectible books: 'Cos'è davvero la matematica'
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