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Mathematics
  • Language: en
  • Pages: 44

Mathematics

  • Type: Book
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  • Published: 1907
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  • Publisher: Unknown

None

What is Mathematics?
  • Language: en
  • Pages: 566

What is Mathematics?

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Philosophy of Mathematics
  • Language: en
  • Pages: 600

Philosophy of Mathematics

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

Mathematical Tracts
  • Language: en

Mathematical Tracts

  • Type: Book
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  • Published: 1888
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  • Publisher: Unknown

None

What is Mathematics, Really?
  • Language: en
  • Pages: 343

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.

The Mathematics of Life
  • Language: en
  • Pages: 368

The Mathematics of Life

  • Type: Book
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  • Published: 2011-06-07
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  • Publisher: Basic Books

Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world--and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world--and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.

Men of Mathematics
  • Language: en
  • Pages: 590

Men of Mathematics

The achievements and lives of important world mathematicians prior to 1900

Where Mathematics Comes from
  • Language: en
  • Pages: 493

Where Mathematics Comes from

  • Type: Book
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  • Published: 2000
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  • Publisher: Basic Books

Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. Reprint. 20,000 first printing.

The Heart of Mathematics
  • Language: en
  • Pages: 760

The Heart of Mathematics

The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

Ancient Egyptian Science: Ancient Egyptian mathematics
  • Language: en
  • Pages: 462

Ancient Egyptian Science: Ancient Egyptian mathematics

Provides an in-depth look at the state of the sciences in ancient Egypt, including discussion of philosophy, astronomy, and mathematics.