How it All Began : A Thematic History of Mathematics

Wagh, Dattatray B.

University Press of America（2005/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 260 p.
• 言語 ENG
• 商品コード 9780761824107
• DDC分類 510.9

Full Description

Intended for undergraduate mathematics students and teachers, How it All Began provides an introduction to the history of various branches of mathematics, the lives of the mathematicians, and the challenges they faced_which helped lead them to their mathematical discoveries. Written in a slightly more technical style than typical histories of mathematics, this book brings the 'characters' of mathematics to life while prompting analysis into the meaning and practice of their mathematical discoveries. How it All Began explores the great Greek legacy, Indian arithmetic, Integral Calculus, the Analytic Geometry of Rene Descartes, Differential Calculus, the Non-Commutative Algebra of Hamilton, the arithmetization of analysis, and the beginnings of Algebra. Using a topical organization method, How it All Began is a perfect supplement to standard mathematics texts and classroom instruction focused on specific subject matter.

Contents

1 Preface
Chapter 2 The Great Greek Legacy
Chapter 3 The Indian Arithmetic: Its Entry and Acceptance in Europe
Chapter 4 The Method of Integral Calculus
Chapter 5 Analytic Geometry of Rene Descartes
Chapter 6 The Method of Differential Calculus
Chapter 7 The First Non-Commutative Algebra
Chapter 8 Arithmetization of Analysis
Chapter 9 Beginnings of Algebra
10 Answers