Mathematics : From the Birth of Numbers

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Mathematics : From the Birth of Numbers

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  • 製本 Hardcover:ハードカバー版/ページ数 1093 p.
  • 言語 ENG
  • 商品コード 9780393040029
  • DDC分類 510.9

基本説明

Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and more.

Full Description


This extraordinary work takes the reader on a long and fascinating journey--from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.NER(01): WOW

Table of Contents

Contents in Brief                                  vi
Preface vii
Contents ix
Foreword: ``Mathematics in Our Culture'' xvii
Peter Hilton
Information for the Reader xxiii
Numbers and Language 1 (30)
Systems of Numeration 31 (38)
Types of Numbers 69 (28)
Cornerstones of Mathematics 97 (86)
Combinatorics 183 (32)
Symbolic Logic 215 (16)
Set Theory 231 (32)
Introduction to Sequences and Series 263 (32)
Theory of Equations 295 (40)
Introduction to Functions 335 (28)
Overture to the Geometries 363 (22)
Elementary Geometry 385 (72)
Trigonometry 457 (76)
Hyperbolic Functions 533 (14)
Analytic Geometry 547 (52)
Vector Analysis 599 (26)
Fractals 625 (12)
Matrices and Determinants 637 (34)
Embarking on Calculus 671 (12)
Introduction to Differential Calculus 683 (38)
Introduction to Integral Calculus 721 (44)
Power Series 765 (14)
Indeterminate Limits 779 (8)
Complex Numbers Revisited 787 (10)
Extrema and Critical Points 797 (30)
Arc Length 827 (10)
Centroids 837 (14)
Area 851 (20)
Volume 871 (20)
Motion 891 (16)
Harmonic Analysis 907 (16)
Methods of Approximation 923 (38)
Probability Theory 961 (28)
Differential Equations 989 (52)
Bibliography 1041 (12)
Name Index 1053 (7)
Subject Index 1060 (32)
Symbols in Common Use 1092