Bøger af George Polya

How to Solve It is a thought-provoking book penned by the renowned mathematician George Polya. First published in 1990 by Penguin Books Ltd, this book has been a staple for many who are interested in the genre of problem-solving and mathematics. Polya masterfully guides the readers through the process of logical and analytical thinking, providing them with the tools to tackle any problem that they may encounter. This book is not just for mathematicians, but for anyone who wants to enhance their problem-solving skills. With Polya's clear and concise writing style, 'How to Solve It' is a must-read for those who seek to understand the beauty of problem-solving. Published by Penguin Books Ltd, this book is a testament to Polya's genius and his contribution to the world of mathematics.

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.

Developed from the authors' introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólya's Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths. This introduction will provide students with a solid foundation in the subject. ---- "This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by Pólya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting mini-textbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the Birkhäuser publishers produced a very pleasant text. One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory...[The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."-Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."-ZentralblattMATH (Review of the original hardcover edition)

The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

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. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.

Explains how to become a 'good guesser'. This work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines.

Few mathematical books are worth translating 50 years after original publication. It was published in German in 1924, and its English edition was widely acclaimed when it appeared in 1972. In the past, more of the leading mathematicians proposed and solved problems than today.

From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems."