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What is mathematics ? an elementary approach to ideas and methods Book PDF

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What is mathematics? an elementary approach to ideas and methods Book PDF

Author : Richard Courant & Herbert Robbins & Ian Stewart

Edition : 2nd

Years : 1996

Pages : 591

ISBN : 0195105192, 9780195105193

Language : English

For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence.

This new edition of Richard Courant’s and Herbert Robbins’s classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world.

Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving.

With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat’s Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar–a matter of the correct application of local rules.

Meaningful mathematics is like journalism–it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature–it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature–it opens a window onto the world of mathematics for anyone interested to view.

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best mathematics, collection of mathematical gems, Continuum Hypothesis, download free book pdf, free pdf book, geometrical constructions and projective geometry, new edition of Richard Courant's and Herbert Robbins's classic, philosophers and engineers, recent mathematical developments, Second Edition pdf, students and teachers, teaching and learning, topology and calculus, traditional place of mathematics in education, what is a factor in mathematics, what is a mathematical expression, what is a mathematical model, what is applied mathematics, what is discrete mathematics, what is finite mathematics, what is log in mathematics, What is Mathematics?, what is mean in mathematics, what is the order of operations in mathematics, Written for beginners and scholars

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