Mathematics and Its History

John Stillwell (Autor)

Buch | Hardcover

XVIII, 542 Seiten

2002 | 2nd ed.
Springer, Berlin (Verlag)
978-3-540-95336-4 (ISBN)

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A concise, unified view of mathematics together with its historical development. Aiming at mathematicians who have mastered the basic topics but wish to gain a better grasp of mathematics as a whole, the author gives the reasons for the emergence of the main fields of modern mathematics, and explains the connections between them by tracing the course of a few mathematical themes from ancient times down to the 20th century. The emphasis here is on history as a method for unifying and motivating mathematics, rather than as an end in itself, and there is more mathematical detail than in other general histories. However, no historical expertise is assumed, and classical mathematics is rephrased in modern terms where needed. Nevertheless, there are copious references to original sources for readers wishing to explore the classics for themselves. In summary, readers will be able to add to their mathematical knowledge as well as gaining a new perspective on what they already know.

John Stillwell is a professor of mathematics at the University of San Francisco. He is also an accomplished author, having published several books.

Contents:
The Theorem of Pythagoras
Greek Geometry
Greek Number Theory
Infinity in Greek Mathematics
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
Topology
Sets, Logic, and Computation. References
Index

Reihe/Serie	Undergraduate Texts in Mathematics
Zusatzinfo	w. 181 ill.
Sprache	englisch
Gewicht	922 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	Mathematik, Geschichte
ISBN-10	3-540-95336-1 / 3540953361
ISBN-13	978-3-540-95336-4 / 9783540953364
Zustand	Neuware