Mathematics and Plausible Reasoning, V1-2: Induction and Analogy in Mathematics, Patterns of Plausible Inference

Mathematics and Plausible Reasoning is a two-volume book written by George Polya, a renowned mathematician and educator. The book is a comprehensive exploration of the role of induction and analogy in the field of mathematics, and the patterns of plausible inference that underpin mathematical reasoning.Volume 1 of the book focuses on the concept of induction, which is the process of reasoning from specific cases to general principles. Polya explores the various forms of induction, including mathematical induction and empirical induction, and provides examples of how induction is used in mathematical proof.Volume 2 of the book explores the role of analogy in mathematical reasoning, which involves drawing parallels between different mathematical concepts and using these analogies to solve problems. Polya discusses the different types of analogies that exist in mathematics, including structural and functional analogies, and provides examples of how analogies can be used to solve complex mathematical problems.Throughout both volumes, Polya emphasizes the importance of intuition and creativity in mathematical reasoning, and provides practical advice on how to develop these skills. The book is written in a clear and accessible style, making it suitable for both students and professionals in the field of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.