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Mathematics: A Concise History and Philosophy

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 750/5 ( reviews)

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Book Synopsis Mathematics: A Concise History and Philosophy by : W.S. Anglin

Download or read book Mathematics: A Concise History and Philosophy written by W.S. Anglin. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.

A Concise History of Mathematics for Philosophers .

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Release : 2019-06-06
Genre : Science
Kind : eBook
Book Rating : 235/5 ( reviews)

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Book Synopsis A Concise History of Mathematics for Philosophers . by : John Stillwell

Download or read book A Concise History of Mathematics for Philosophers . written by John Stillwell. This book was released on 2019-06-06. Available in PDF, EPUB and Kindle. Book excerpt: This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.

A Concise History of Mathematics

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Release : 1967
Genre : Mathematics
Kind : eBook
Book Rating : 554/5 ( reviews)

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Book Synopsis A Concise History of Mathematics by : Dirk Jan Struik

Download or read book A Concise History of Mathematics written by Dirk Jan Struik. This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt: This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

Philosophy of Mathematics

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Author :
Release : 2009-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 924/5 ( reviews)

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Book Synopsis Philosophy of Mathematics by : David Bostock

Download or read book Philosophy of Mathematics written by David Bostock. This book was released on 2009-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of Mathematics: An Introduction provides a critical analysis of the major philosophical issues and viewpoints in the concepts and methods of mathematics - from antiquity to the modern era. Offers beginning readers a critical appraisal of philosophical viewpoints throughout history Gives a separate chapter to predicativism, which is often (but wrongly) treated as if it were a part of logicism Provides readers with a non-partisan discussion until the final chapter, which gives the author's personal opinion on where the truth lies Designed to be accessible to both undergraduates and graduate students, and at the same time to be of interest to professionals

Philosophy of Mathematics

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Release : 2020-03-24
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Philosophy of Mathematics by : Øystein Linnebo

Download or read book Philosophy of Mathematics written by Øystein Linnebo. This book was released on 2020-03-24. Available in PDF, EPUB and Kindle. Book excerpt: A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.

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