Mathematics A Concise History And Philosophy

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Mathematics: A Concise History and Philosophy

Author : W.S. Anglin
Publisher : Springer Science & Business Media
ISBN 13 : 1461208750
Total Pages : 253 pages
Book Rating : 4.4/5 (612 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. 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.

Mathematics: A Concise History and Philosophy

Author : W.S. Anglin
Publisher : Springer Science & Business Media
ISBN 13 : 0387942807
Total Pages : 282 pages
Book Rating : 4.3/5 (879 download)

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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 and published by Springer Science & Business Media. This book was released on 1994 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.

Mathematics: A Concise History and Philosophy

Author : W.S. Anglin
Publisher : Springer
ISBN 13 : 9780387942803
Total Pages : 288 pages
Book Rating : 4.9/5 (428 download)

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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 and published by Springer. This book was released on 1996-04-04 with total page 288 pages. 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 .

Author : John Stillwell
Publisher : Cambridge University Press
ISBN 13 : 1108456235
Total Pages : 77 pages
Book Rating : 4.1/5 (84 download)

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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 and published by Cambridge University Press. This book was released on 2019-06-06 with total page 77 pages. 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.

Mathematics and Its History

Author : John Stillwell
Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematics and Its History by : John Stillwell

Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

A Concise History of Mathematics

Author : Dirk Jan Struik
Publisher : Courier Corporation
ISBN 13 : 9780486602554
Total Pages : 260 pages
Book Rating : 4.6/5 (25 download)

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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 and published by Courier Corporation. This book was released on 1967 with total page 260 pages. 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

Author : Øystein Linnebo
Publisher : Princeton University Press
ISBN 13 : 069120229X
Total Pages : 214 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Philosophy of Mathematics by : Øystein Linnebo

Download or read book Philosophy of Mathematics written by Øystein Linnebo and published by Princeton University Press. This book was released on 2020-03-24 with total page 214 pages. 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.

Mathematics in Historical Context

Author : Jeff Suzuki
Publisher : MAA
ISBN 13 : 9780883855706
Total Pages : 432 pages
Book Rating : 4.8/5 (557 download)

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Book Synopsis Mathematics in Historical Context by : Jeff Suzuki

Download or read book Mathematics in Historical Context written by Jeff Suzuki and published by MAA. This book was released on 2009-08-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

Chinese Mathematics

Author : Yan Li
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Chinese Mathematics by : Yan Li

Download or read book Chinese Mathematics written by Yan Li and published by Oxford University Press, USA. This book was released on 1987 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a record of mathematical developments in China over a period of more than 2000 years. It goes into greater detail than ever previously available in English. Because the emphasis in Chinese mathematics is on algorithms rather than proofs, readers will find results such as Bezout's theorem and Horner's method appearing in a very different context from the familiar tradition of Euclidean deductive geometry. The Chinese always preferred algebraic methods, and by the 13th century A.D. they were the best algebraists in the world. The original Chinese point of view is retained by the translators. They have supplemented the text with short explanatory comments and references to all relevant reference sources available in the West. An extensive bibliography is included, creating a work which will appeal to general readers interested in Chinese history as well as historians of mathematics.

An Introduction to the Philosophy of Mathematics

Author : Mark Colyvan
Publisher : Cambridge University Press
ISBN 13 : 0521826020
Total Pages : 199 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to the Philosophy of Mathematics by : Mark Colyvan

Download or read book An Introduction to the Philosophy of Mathematics written by Mark Colyvan and published by Cambridge University Press. This book was released on 2012-06-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

Philosophy of Mathematics

Author : David Bostock
Publisher : John Wiley & Sons
ISBN 13 : 1405189924
Total Pages : 345 pages
Book Rating : 4.4/5 (51 download)

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Book Synopsis Philosophy of Mathematics by : David Bostock

Download or read book Philosophy of Mathematics written by David Bostock and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 345 pages. 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

Thinking about Mathematics

Author : Stewart Shapiro
Publisher : OUP Oxford
ISBN 13 : 0192893068
Total Pages : 323 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Thinking about Mathematics by : Stewart Shapiro

Download or read book Thinking about Mathematics written by Stewart Shapiro and published by OUP Oxford. This book was released on 2000-07-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.

More Precisely: The Math You Need to Do Philosophy - Second Edition

Author : Eric Steinhart
Publisher : Broadview Press
ISBN 13 : 155481345X
Total Pages : 250 pages
Book Rating : 4.5/5 (548 download)

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Book Synopsis More Precisely: The Math You Need to Do Philosophy - Second Edition by : Eric Steinhart

Download or read book More Precisely: The Math You Need to Do Philosophy - Second Edition written by Eric Steinhart and published by Broadview Press. This book was released on 2017-11-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.

A History of Mathematics Education during the Twentieth Century

Author : Angela Lynn Evans Walmsley
Publisher : University Press of America
ISBN 13 : 1461676215
Total Pages : 92 pages
Book Rating : 4.4/5 (616 download)

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Book Synopsis A History of Mathematics Education during the Twentieth Century by : Angela Lynn Evans Walmsley

Download or read book A History of Mathematics Education during the Twentieth Century written by Angela Lynn Evans Walmsley and published by University Press of America. This book was released on 2007-05-22 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics Education during the Twentieth Century describes the history of mathematics education in the United States with conceptual themes concerning philosophy, mathematics content, teacher education, pedagogy, and assessment. Each decade of the twentieth century is analyzed using historical documents, within the context of the aforementioned themes, to create a concise history of mathematical reform as it relates to history within the United States. Finally, conclusions are drawn as to which reform movements are similar and different throughout the century—depicting which aspects of reform can be seen again. Mathematics education tends to swing on a pendulum from "traditional education" including teacher-directed instruction with an emphasis on computation skills to "reform education," including student-directed instruction with an emphasis on problem solving. All decades are analyzed to see where they were on the pendulum and what aspects may have contributed to the current reform movements led by the Standards movement.

The History of Philosophy

Author : A. C. Grayling
Publisher : Penguin UK
ISBN 13 : 0241980860
Total Pages : 559 pages
Book Rating : 4.2/5 (419 download)

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Book Synopsis The History of Philosophy by : A. C. Grayling

Download or read book The History of Philosophy written by A. C. Grayling and published by Penguin UK. This book was released on 2019-06-20 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: AUTHORITATIVE AND ACCESSIBLE, THIS LANDMARK WORK IS THE FIRST SINGLE-VOLUME HISTORY OF PHILOSOPHY SHARED FOR DECADES 'A cerebrally enjoyable survey, written with great clarity and touches of wit' Sunday Times The story of philosophy is an epic tale: an exploration of the ideas, views and teachings of some of the most creative minds known to humanity. But there has been no comprehensive history of this great intellectual journey since 1945. Intelligible for students and eye-opening for philosophy readers, A. C. Grayling covers with characteristic clarity and elegance subjects like epistemology, metaphysics, ethics, logic, and the philosophy of mind, as well as the history of debates in these areas, through the ideas of celebrated philosophers as well as less well-known influential thinkers. The History of Philosophy takes the reader on a journey from the age of the Buddha, Confucius and Socrates. Through Christianity's dominance of the European mind to the Renaissance and Enlightenment. On to Mill, Nietzsche, Sartre, then the philosophical traditions of India, China and the Persian-Arabic world. And finally, into philosophy today.

What Is Mathematics, Really?

Author : Reuben Hersh
Publisher : Oxford University Press
ISBN 13 : 0198027362
Total Pages : 368 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis What Is Mathematics, Really? by : Reuben Hersh

Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Cambridge Concise History of Astronomy

Author : Michael Hoskin
Publisher : Cambridge University Press
ISBN 13 : 1316342395
Total Pages : 545 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis The Cambridge Concise History of Astronomy by : Michael Hoskin

Download or read book The Cambridge Concise History of Astronomy written by Michael Hoskin and published by Cambridge University Press. This book was released on 1999-03-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Astronomy is one of the oldest sciences, and one which has repeatedly led to fundamental changes in our view of the world. This book covers the history of our study of the cosmos from prehistory through to a survey of modern astronomy and astrophysics (sure to be of interest to future historians of twentieth-century astronomy). It does not attempt to cover everything, but deliberately concentrates on the important themes and topics. These include stellar astronomy in the seventeenth and eighteenth centuries, at the time subordinate to the study of the solar system, but the source of many important concepts in modern astronomy, and the Copernican revolution, which led to the challenge of ancient authorities in many areas, not just astronomy. This is an essential text for students of the history of science and for students of astronomy who require a historical background to their studies.