Mathematics and Plausible Reasoning, Volume 1
eBook - PDF

Mathematics and Plausible Reasoning, Volume 1

Induction and Analogy in Mathematics

  1. 296 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematics and Plausible Reasoning, Volume 1

Induction and Analogy in Mathematics

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
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 one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-title page
  3. Title page
  4. Copyright page
  5. Preface
  6. Hints to the Reader
  7. Contents
  8. Chapter I: Induction
  9. Chapter II: Generalization, Specialization, Analogy
  10. Chapter III: Induction in Solid Geometry
  11. Chapter IV: Induction in the Theory of Numbers
  12. Chapter V: Miscellaneous Examples of Induction
  13. Chapter VI: A More General Statement
  14. Chapter VII: Mathematical Induction
  15. Chapter VIII: Maxima and Minima
  16. Chapter IX: Physical Mathematics
  17. Chapter X: The Isoperimetric Problem
  18. Chapter XI: Further Kinds of Plausible Reasons
  19. Final Remark
  20. Solutions to Problems
  21. Bibliography