Mathematics — The Music of Reason

Author: Jean Dieudonne

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 287

View: 261

This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.

Mathematics

The Music of Reason

Author: J. Dieudonné

Publisher:

ISBN:

Category: Mathematics

Page:

View: 802

The Foundations of Mathematics

Author: Thomas Q. Sibley

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 392

View: 571

Finally there's an easy-to-follow book that will help readers succeed in the art of proving theorems. Sibley not only conveys the spirit of mathematics but also uncovers the skills required to succeed. Key definitions are introduced while readers are encouraged to develop an intuition about these concepts and practice using them in problems. With this approach, they'll gain a strong understanding of the mathematical language as they discover how to apply it in order to find proofs.

New Directions in the Philosophy of Mathematics

An Anthology

Author: Thomas Tymoczko

Publisher: Princeton University Press

ISBN:

Category: Mathematics

Page: 436

View: 864

The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.

Mathematics and the Roots of Postmodern Thought

Author: Vladimir Tasic

Publisher: Oxford University Press

ISBN:

Category: Mathematics

Page: 200

View: 596

This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.

Recreational mathematics

a guide to the literature

Author: William Leonard Schaaf

Publisher:

ISBN:

Category: Mathematics

Page: 129

View: 439

Mathematics and music

Author: William Leonard Schaaf

Publisher:

ISBN:

Category: Mathematical physics

Page: 25

View: 244