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. This book is intended for the general reader with an interest in mathematics; students of mathematics; students of related disciplines with a desire to develop their mathematical skills, from undergraduate level upwards.
Reviews
*Praise for the previous edition:
"Without doubt, the work will have great influence. It should be in the hands of everyone, professional or otherwise, who is interested in scientific thinking."--The New York Times
"Should prove a source of great pleasure and satisfaction."--Journal of Applied Physics
"Succeeds brilliantly in conveying the intellectual excitement of mathematical inquiry and in communicating the essential ideas and methods."Journal of Philosophy
"It is a work of high perfection, whether judged by aesthetic, pedagogical or scientific standards. It is astonishing to what extent What is Mathematics? has succeeded in making clear by means of the simplest examples all the fundamental ideas and methods which we mathematicians consider the life blood of our science."--Herman Weyl
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Reviews
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I found this book hard to get started with. I must preface this comment by clearly indicating that I am NOT a professional mathematician and thus have a less than rigorous background in the subject. However, the pace of the book and the somewhat sketchy aspects to some of the proofs left me feeling a bit lost at times. Nevertheless, my impression is that once I get a bit better grounding in mathematics, I will return to this book and THEN reap its rewards.
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