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Mathematics and Its History

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Buch | Hardcover
560 Seiten
2001 | 2nd Revised edition
Springer-Verlag New York Inc.
978-0-387-95336-6 (ISBN)

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Mathematics and Its History - John Stillwell
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Includes chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. This title presents a commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.
From the reviews of the first edition: '[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience - we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many' - ("Mathematical Intelligencer"). This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

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 Revival of Number Theory.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Noneuclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Sets, Logic, and Computation.- Bibliography.- Index.

Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo 181 black & white illustrations
Verlagsort New York, NY
Sprache englisch
Maße 234 x 156 mm
Gewicht 2140 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Geschichte der Mathematik
Naturwissenschaften Physik / Astronomie
ISBN-10 0-387-95336-1 / 0387953361
ISBN-13 978-0-387-95336-6 / 9780387953366
Zustand Neuware
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