An absorbing account of pure and applied mathematics from the geometry of Euclid to that of Riemann, and its application in Einstein's theory of relativity. The twenty chapters cover such topics as: algebra, number theory, logic, probability, infinite sets and the foundations of mathematics, rings, matrices, transformations, groups, geometry, and topology. Mathematics was republished in 1987 with corrections and an added foreword by Martin Gardner.
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'The book deserves a place in today's market. It is rewarding reading for teachers and students at all mathematical levels.' Morris Kline
Book Description
An absorbing account of pure and applied mathematics from the geometry of Euclid to that of Riemann, and its application in Einstein's theory of relativity. The twenty chapters cover such topics as: algebra, number theory, logic, probability, infinite sets and the foundations of mathematics, rings, matrices, transformations, groups, geometry, and topology. Mathematics was republished in 1987 with corrections and an added foreword by Martin Gardner.
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Most Helpful Customer Reviews
9 of 10 people found the following review helpful:
4.0 out of 5 stars
A re-read after many years,
By Andrew Mander-Jones (Melbourne, Victoria, Aistralia) - See all my reviews
This review is from: Mathematics: Queen and Servant of Science (Spectrum) (Paperback)
I will keep this very brief. I am an electrical engineer and computer scientist, and, after a couple of decades in the "commercial world" , am always amazed at the "unreal effectiveness" of mathematics when applied to this and the real world. Bell's book captures this essence in a timeless tome that must be required reading and regular re-reading for all aspiring. and indeed, practising, mathematicians, engineers and scientists. It is a source of both inspiration and "bringing back to earth" to those that read it. No serious practitioners library should be without it.
2 of 2 people found the following review helpful:
4.0 out of 5 stars
Thorough Survey of Math,
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One of the most thorough surveys of mathematics I have read. Tends to concentrate on algebras. Too little on probability and statistics. Also somewhat dated for anything near cutting edge. Nothing on computer science or computational theory, for example. For a newer survey, esp more on philosophical and applications, though less on how it is done, you might try Davis & Hersh, The Mathematical Experience.
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Nobody wraps a story around mathematics better than Bell,
By Charles Ashbacher (Marion, Iowa United States) - See all my reviews (TOP 500 REVIEWER) (VINE VOICE) (HALL OF FAME REVIEWER)
This review is from: Mathematics: Queen and Servant of Science (Spectrum) (Paperback)
If I was to ever teach a course in expository writing in mathematics, decide to write a popular book in mathematics, or be asked to advise someone who was going to do either one, this book would be my first and highest recommendation as a resource. There is no one better than Bell at wrapping an engaging story around mathematics. It is hardly surprising that he was also successful as a writer of science fiction. In less than 450 pages he manages to explain why mathematics is important, give a reasonably complete history of the subject and show how well both can be done. This book should be required reading for all mathematics majors and minors.
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Inside This Book
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First Sentence:
Mathematics is Queen of the Sciences and Arithmetic the Queen of Mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
postulational method, modern calculating machines, common algebra, normal divisor, class whose elements, linear associative algebra, quadratic differential form, unity element, postulate systems, permissible moves, rational integers, modern quantum theory, binary scale, algebraic integers, common arithmetic Key Phrases - Capitalized Phrases (CAPs): (learn more)
World War, Fermat's Last Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Mathematics is Queen of the Sciences and Arithmetic the Queen of Mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
postulational method, modern calculating machines, common algebra, normal divisor, class whose elements, linear associative algebra, quadratic differential form, unity element, postulate systems, permissible moves, rational integers, modern quantum theory, binary scale, algebraic integers, common arithmetic Key Phrases - Capitalized Phrases (CAPs): (learn more)
World War, Fermat's Last Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 12
books:
See all 12 books this book cites
73
books
cite this book:
See all 73 books citing this book
- The World of Mathematics by James R. Newman in Front Matter (1), and Front Matter (2)
- Introduction to Logic by Alfred Tarski on page 57
- Recreations in the Theory of Numbers (Dover Recreational Math) by Albert H. Beiler in Front Matter
- The Development of Mathematics by E. T. Bell in Front Matter
- Alexander the Great (QED Great Lives) in Front Matter
See all 12 books this book cites
- Mathematically Speaking: A Dictionary of Quotations by C.C. Gaither on 7 pages
- The Search for E. T. Bell: Also Known as John Taine (Spectrum) by Constance Reid on 4 pages
- Statistically Speaking: A Dictionary of Quotations by C.C. Gaither on page 2, page 51, and page 275
- Mathematical Treks: From Surreal Numbers to Magic Circles (Spectrum) by Ivars Peterson in Front Matter, page 98, and page 116
- New Mathematical Diversions: More Puzzles, Problems, Games, and Other Mathematical Diversions (Spectrum Series) by Martin Gardner in Front Matter, and page 173
See all 73 books citing this book
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