Mathematics: Queen and Servant of Science (Spectrum) by E. T. Bell (PDF)

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.

User’s Reviews

Editorial Reviews: Review ‘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 Euclid to Riemann. 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐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.

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