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.
eBook - PDF
Mathematics and Plausible Reasoning, Volume 1
Induction and Analogy in Mathematics
- 300 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Mathematics and Plausible Reasoning, Volume 1
Induction and Analogy in Mathematics
About this book
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Information
Publisher
Princeton University PressYear
2020Print ISBN
9780691025094
9780691080055
eBook ISBN
9780691218304
Table of contents
- Cover Page
- Half-title page
- Title page
- Copyright page
- Preface
- Hints to the Reader
- Contents
- 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
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Yes, you can access Mathematics and Plausible Reasoning, Volume 1 by G. Polya,George Polya in PDF and/or ePUB format, as well as other popular books in Mathematics & Games in Mathematics. We have over 1.5 million books available in our catalogue for you to explore.