Mathematics — The Music of Reason

Author: Jean Dieudonne

Publisher: Springer Science & Business Media


Category: Mathematics

Page: 287

View: 456

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.


The Music of Reason

Author: J. Dieudonné



Category: Mathematics


View: 374

The Music of Reason

Experiencing the Beauty of Mathematics Through Quotations

Author: Theoni Pappas

Publisher: Wide World Pub Tetra


Category: Mathematics

Page: 138

View: 342

The Foundations of Mathematics

Author: Thomas Q. Sibley

Publisher: John Wiley & Sons


Category: Mathematics

Page: 392

View: 444

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


Category: Mathematics

Page: 436

View: 794

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.

The Topos of Music III: Gestures

Musical Multiverse Ontologies

Author: Guerino Mazzola

Publisher: Springer


Category: Mathematics

Page: 604

View: 173

This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

Mathematics and the Roots of Postmodern Thought

Author: Vladimir Tasic

Publisher: Oxford University Press


Category: Mathematics

Page: 200

View: 973

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.

Apología de un matemático

Author: Godfrey Harold Hardy



Category: Mathematics

Page: 160

View: 233

G.H. Hardy fue uno de los mejores matemáticos de este siglo, reconocido entre sus contemporáneos como un "matemático auténtico, el más puro entre los puros". Esta Apología, escrita emotivamente cuando su poder creativo matemático estaba ya en su ocaso, es un relato brillante y cautivador de las matemáticas consideradas como mucho más que una ciencia, que nos proporciona una de las mejores visiones de cómo discurre la mente de un matemático en pleno proceso de trabajo. De hecho, este libro está ampliamente considerado como una de las mejores penetraciones en la mente de un matemático profesional, escrita para profanos. En sus páginas, Hardy defiende el valor de la matemática teórica más abstracta y la belleza como valor indispensable de las buenas teorías matemáticas por encima de otros valores como su aplicabilidad o relevancia para los problemas de física. Cuando fue publicada en inglés por primera vez, Graham Greene la aclamó, junto con los cuadernos de notas de Henry James, como "la mejor narración de lo que representa el ser un artista creativo". El prólogo de C. P. Snow a la edición inglesa proporciona algunas claves de la vida de Hardy, incluyendo las anécdotas relativas a su colaboración con el matemático indio Ramanujan, sus aforismos y su pasión por el críquet. Este es un relato único de la fascinación por las matemáticas y de uno de sus exponentes más convincentes de los tiempos modernos.

The Music of the Primes

Why an Unsolved Problem in Mathematics Matters

Author: Marcus Du Sautoy

Publisher: HarperCollins UK


Category: Number theory

Page: 335

View: 425

A history of mathematics from the cutting-edge of present-day research, this tells the story of the most idiosyncratic and most fundamental numbers in pure mathematics, the primes. When counting, primes (numbers only divisible by one and themselves) appear without any reason or rhythm. To a non-mathematician this may seem an oddity. To scientists the key to this seeming randomness, called the Riemann Hypothesis, is one of the most important enigma within Mathematics.

Recreational mathematics

a guide to the literature

Author: William Leonard Schaaf



Category: Mathematics

Page: 129

View: 702