Mathematics and Plausible Reasoning, Volume 1 : : Induction and Analogy in Mathematics / / G. Polya.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
• VerfasserIn: Polya, G.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2021]; ©1954
• Year of Publication: 2021
• Language: English
• Physical Description: 1 online resource (296 p.)
• Other title: Frontmatter --; PREFACE --; HINTS TO THE READER --; CONTENTS --; Volume I. Induction and Analogy in Mathematics --; CHAPTER I. INDUCTION --; CHAPTER II. GENERALIZATION, SPECIALIZATION, ANALOGY --; CHAPTER III. INDUCTION IN SOLID GEOMETRY --; CHAPTER IV. INDUCTION IN THE THEORY OF NUMBERS --; CHAPTER V. MISCELLANEOUS EXAMPLES OF INDUCTION --; CHAPTER VI. A MORE GENERAL STATEMENT --; CHAPTER VII. MATHEMATICAL INDUCTION --; CHAPTER VIII. MAXIMA AND MINIMA --; CHAPTER IX. PHYSICAL MATHEMATICS --; CHAPTER X. THE ISOPERIMETRIC PROBLEM --; CHAPTER XI. FURTHER KINDS OF PLAUSIBLE REASONS --; FINAL REMARK --; SOLUTIONS TO PROBLEMS --; BIBLIOGRAPHY
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9780691218304; 9783110442496
• DOI: 10.1515/9780691218304?locatt=mode:legacy
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: G. Polya.

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.