Synopses & Reviews
This new edition brings the fascinating and intriguing history of mathematics to lifeThe Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society.
In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation.
The text is divided into seven parts:
- The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians
- Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics
- Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe
- Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics
- Algebra, including problems leading to algebra, equations and methods, and modern algebra
- Analysis, including the calculus, real, and complex analysis
- Mathematical Inference, including probability and statistics, and logic and set theory
As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology.
The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses.
Review
"The second edition…is a jewel. It is notable for what it includes as well as what it does not. But most importantly, it is a jewel for its presentation." (
MAA Reviews, January 15, 2007)
"…a remarkably well-compiled format…recommended as a textbook for an undergraduate course; in addition...can appeal to readers interested in the history of science and to a general audience." (E-STREAMS, November 2006)
"An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource…essential." (CHOICE, November 2005)
Synopsis
This history of mathematics explores the most important advances over the centuries -- from ancient Egyptian mathematics to 20th century developments.
Extensive illustrations and exercises.
Synopsis
Written by one of the foremost experts in the field, The History of Mathematics: A Brief Course is substantially revised in the second edition. This acclaimed text-now reorganized topically rather than geographically-begins with first applications of counting and numbers in the ancient world, and continues with discussions of geometry, algebra, analysis, probability, logic, and more. Discussions of women in the history of mathematics make this a very thorough, inclusive resource.
An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
Synopsis
This pragmatic, issues-oriented history traces the discovery, solution, and application of mathematical problems.
From the arithmetic of the ancient Egyptians to the intricacies of postcalculus math, The History of Mathematics: A Brief Course focuses on how mathematics has developed over the centuries. Roger Cooke has selected the most intriguing and significant problems in the history of mathematics and asked of each one: Why was it important? How was it solved? How was its solution applied? Did its solution lead to further advances in the field?
The carefully selected topics in this book include
- The nature and origins of mathematics
- Early Western mathematics as practiced by the Egyptians, the Mesopotamians, the Greeks, and the Romans
- Non-Western traditions, including Hindu, Chinese, Korean, Japanese, and Islamic mathematics
- The development of modern mathematics from the Middle Ages to the calculus and other seventeenth-century discoveries to today's number theory
- The relationship of modern mathematics to science
- Contemporary issues in mathematics, including the role of women and minorities.
This readable, up-to-date study is ideal for undergraduate courses in mathematics and mathematics education. Everyone interested in the field will want to keep a copy of The History of Mathematics close at hand.
About the Author
ROGER COOKE, PHD, is Williams Professor of Mathematics, University of Vermont, and has served as an associate editor of Historia Mathematica. Dr. Cooke has authored other key titles in the field as well as translated several books by Russian mathematicians into English.
Table of Contents
EARLY WESTERN MATHEMATICS.
Origins.
Ancient Egyptian Mathematics.
Mesopotamia.
The Early Greeks.
The Euclidean Synthesis.
Archimedes and Apollonius.
Hellenistic Mathematical Science.
Mathematics in the Roman Empire.
OTHER MATHEMATICAL TRADITIONS.
The Mathematics of the Hindus.
Chinese Mathematics.
Korea and Japan.
Islamic Mathematics.
MODERN MATHEMATICS.
Medieval Europe.
The Renaissance.
The Calculus.
Seventeenth-Century Mathematics.
Beyond the Calculus.
Modern Mathematical Science.
Contemporary Mathematics.
Answers to Selected Exercises.
Index.