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Mathematics and Its History / by John Stillwell
(Undergraduate Texts in Mathematics)

データ種別 電子ブック
3
出版者 New York, NY : Springer New York
出版年 2010
本文言語 英語
大きさ XXII, 662 p : online resource

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URL 電子ブック


EB0124689

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内容注記 The Theorem of Pythagoras
Greek Geometry
Greek Number Theory
Infinity in Greek Mathematics
Number Theory in Asia
Polynomial Equations
Analytic Geometry
Projective Geometry
Calculus
Infinite Series
The Number Theory Revival
Elliptic Functions
Mechanics
Complex Numbers in Algebra
Complex Numbers and Curves
Complex Numbers and Functions
Differential Geometry
Non-Euclidean Geometry
Group Theory
Hypercomplex Numbers
Algebraic Number Theory
Topology
Simple Groups
Sets, Logic, and Computation
Combinatorics
一般注記 From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) "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) "Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact." (Denis Bonheure, Bulletin of the Belgian Society) This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises
著者標目 *Stillwell, John author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Mathematical analysis
LCSH:Analysis (Mathematics)
LCSH:Geometry
LCSH:History
LCSH:Number theory
FREE:Mathematics
FREE:History of Mathematical Sciences
FREE:Geometry
FREE:Number Theory
FREE:Analysis
分 類 DC23:510.9
巻冊次 ISBN:9781441960535 REFWLINK
ISBN 9781441960535
URL http://dx.doi.org/10.1007/978-1-4419-6053-5
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