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Titlebook: Mathematics: A Concise History and Philosophy; W. S. Anglin Textbook 1994 Springer Science+Business Media New York 1994 Algebra.Cantor.Fin

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书目名称Mathematics: A Concise History and Philosophy
编辑W. S. Anglin
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Mathematics: A Concise History and Philosophy;  W. S. Anglin Textbook 1994 Springer Science+Business Media New York 1994 Algebra.Cantor.Fin
描述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
出版日期Textbook 1994
关键词Algebra; Cantor; Finite; Gottfried Wilhelm Leibniz; Middle Ages; Plato; Problem-solving; calculus; eighteent
版次1
doihttps://doi.org/10.1007/978-1-4612-0875-4
isbn_softcover978-1-4612-6930-4
isbn_ebook978-1-4612-0875-4Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1994
The information of publication is updating

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0172-6056 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 u
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The Earliest Number Theory,ablets of the Sumerians and Babylonians. Most of these achievements go back as far as 2000 B.C. — about the time when Abraham’s father was living in the Sumerian city of Ur. We shall use the word ‘Babylonian’ for what is perhaps more accurately described as ‘Mesopotamian’ mathematics.
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The Pythagoreans,Babylonians had a well-worked-out theory of ‘Pythagorean triangles’, and Pythagoras would have learnt this from them. Pythagoras may have discovered the first proof of the ‘theorem of Pythagoras’, but he certainly did not discover the theorem itself.
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Textbook 1994 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 understandi
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The Need for the Infinite,In opposition to Anaximander, Parmenides of Elea, Italy (480 B.C.) was a monist. That is, he held that the universe consists of only one object. The number of things that exists is just one.
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