Mathematics and its history

Author(s)

• Stillwell, John

Bibliographic Information

Mathematics and its history

John Stillwell

（Undergraduate texts in mathematics）

Springer-Verlag, 1994, c1989

Corrected 3rd printing

• : us
• : gw

Note

Bibliography: p. [333]-362

Description and Table of Contents

Description

This textbook presents a unified view of mathematics and its historical development. It is aimed at senior undergraduates who have mastered the basic topics but wish to gain a better grasp of mathematics as a whole. Reasons for the emergence of the main fields of modern mathematics are identified, and connections between them are explained, by tracing the course of a few mathematical themes from ancient times down to the 20th century. The emphasis is on history as a method for unifying and motivating mathematics, rather than as an end in itself. No historical expertise is assumed, and classical mathematics is rephrased in modern terms whenever original sources are used.

Table of Contents

Preface.- 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.

by "Nielsen BookData"

Details

• NCID: BA26635340
• ISBN:
  • 0387969810
  • 3540969810
• LCCN: 89004242
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Tokyo
• Pages/Volumes: x, 371 p.
• Size: 25 cm
• Classification:
  • LCC : QA21
  • DC19 : 510/.9
  • NDC8 : 410.2
• Subject Headings:
  • LCSH : Mathematics -- History
• Parent Bibliography ID:
  • BA00018418