Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics by G. Polya (PDF)

Description

A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. I, on Induction and Analogy in Mathematics, covers a wide variety of mathematical problems, revealing the trains of thought that lead to solutions, pointing out false bypaths, discussing techniques of searching for proofs. Problems and examples challenge curiosity, judgment, and power of invention.

User’s Reviews

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

⭐It’s a book…guess what I used it for!

⭐One of the most beautiful books on scientific discovery. Read this book and then keep it at bedside for sheer amusement. Analogies are frequently the key to a discovery, but it is rare that this essential step receives credit. Here there is a collection of them: some of the most beautiful. Perhaps the most famous is Bernoulli’s solution of the brachistochrone problem, based on an analogy with the path of light in the atmosphere. But there are many others, with comments and analysis by Polya, who spent a life thinking at these things. It’s a pity he didn’t include Riemann’s “proof” of the theorem of conformal representation, based on an analogy with the physics of electrical currents on a surface. The reader can find it beautifully described in Richard Courant’s “Dirichlet Principle”.

⭐I received the book in a timely manner. This is a diamond of history in developing skills in solving mathematics and engineering problems.

⭐Every maths lover most keep this !! It is a book which motivate us do research in a systematic way!! written in a lucid manner!! Interactive also!!

⭐Product was accurately described and I would buy from this seller again.

⭐This book shows you how simple concepts when applied properly can lead to ingenious solutions. For example, the author’s proof of the Pythagorean Theorem will leave you shocked by its amazing elegance. And, there are several of these throughout the book.Read this book. It’s money more than well spent.

⭐If you have ever watched a star trek movie and seen Spock in action,then this is the book for you. Its all about logicical thinking when approaching problems in math.Excellent!

⭐thank you

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