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The History of Mathematics: A Brief Course, by Roger L. Cooke
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This new edition brings the fascinating and intriguing history of mathematics to life
The 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. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
- Sales Rank: #2466168 in Books
- Published on: 2005-04-28
- Original language: English
- Number of items: 1
- Dimensions: 10.14" h x 1.51" w x 7.15" l, 2.91 pounds
- Binding: Hardcover
- 640 pages
Review
“This book should engage students, and Chapters 1-4 contain a great deal of material that students usually have to find outside their textbook: background history, relationship of mathematics to the broader culture, and a great deal of information on women in mathematics. Once the students are taken in by the story, it will be the instructor’s job to elaborate on the historical calculations and proofs. For an experienced instructor in a history of mathematics class, this is an ideal situation; both the instructor and the text get to do their jobs.” (Mathematical Association of America, 16 July 2013)
"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)
From the Back Cover
This new edition brings the fascinating and intriguing history of mathematics to life
The 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.
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.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Trust
By David K. Dirlam
I've spent a long career trying to establish a few solid relationships between mathematics and the sciences of mind. Thus, it is truly a great pleasure to read a book on such a vast and deep subject as the history of mathematics and be thoroughly able to trust the author's knowledge of it through chapter after chapter.
6 of 10 people found the following review helpful.
rates two stars solely for its excellent typography
By Bruce D. Wilner
Oh, what a disastrous disappointment this was! The book was generously sprinkled with history and chock-full of mathematics but basically fell silent in the "history of mathematics" department. I emerged with a vague idea of the interrelationships among these theorems or these techniques, but nothing of a useful _conceptual_ nature was to be gleaned from these academically spiffy pages. Honestly, I got the impression that the author was trying to impress me with the scope of his mathematical knowledge (a difficult task given the shocking limits thereof: a handful of theorems, more or less correctly stated, cannot substitute for a meaningful sub-corpus of math-craft). Yea, he expended not the first breath in trying to show me how the approaches and, yes, psyches of various civilizations empowered them to construct bodies of knowledge atop thitherto weaker or less finely structured bodies of knowledge. Nowhere could I glean any thread whereby I could declare, "Aha! It's amazing how culture X managed to cobble together idea P by subtly restructuring culture Y's notion of Q!" Friends, look for "The Crest of the Peacock" by George Geverghese Joseph and really, _really_ enjoy. (For a bit more detail of one particularly interesting tangent [no pun intended], explore Petr Beckmann's "History of Pi" also.) In retrospect, I can't imagine what motivated me to shell out $100 for Cooke's pseudo-opus in the first place.
0 of 0 people found the following review helpful.
Five Stars
By MBueno
i love this book. Much better in my opinion than the new edition.
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