Mathematics: From the Birth of Numbers

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W. W. Norton & Company, Jan 1, 1997 - Mathematics - 1093 pages
14 Reviews
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.
  

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Review: Mathematics: From the Birth of Numbers

User Review  - Max - Goodreads

For someone who loves stories, this is an excellent (and thorough) introduction to mathematics and the stories behind its creation. Reading it re-ignited my interest in math. Read full review

Review: Mathematics: From the Birth of Numbers

User Review  - Maureen H. - Goodreads

I forget where I learned of this book but I thought it would be interesting and probably challenging to see how much of my math I remembered. I didn't find the history portion of the book to be of ... Read full review

Contents

Numbers and Language
1
Systems of Numeration
31
Types of Numbers
69
Cornerstones of Mathematics
97
Combinatorics
183
Symbolic Logic
215
Set Theory
231
Introduction to Sequences and Series
263
Introduction to Integral Calculus
721
Power Series
765
Indeterminate Limits
779
Complex Numbers Revisited
787
Extrema and Critical Points
797
Arc Length
827
Centroids
837
Area
851

Theory of Equations
295
Introduction to Functions
335
Overture to the Geometries
363
Elementary Geometry
385
Trigonometry
457
Hyperbolic Functions
533
Analytic Geometry
547
Vector Analysis
599
Fractals
625
Matrices and Determinants
637
Embarking on Calculus
671
Introduction to Differential Calculus
683
Volume
871
Motion
891
Harmonic Analysis
907
Methods of Approximation
923
Probability Theory
961
Differential Equations
989
Bibliography
1041
Name In dex
1053
Subject Index
1060
Symbols in Common Use
1092
Copyright

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About the author (1997)

Jan Gullberg is a practicing general surgeon. A native of Sweden, he is well known there for his writings on various scientific and medical topics. He now lives and works in Mosjøen, Norway.

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