How to Solve It A New Aspect of Mathematical Method

Name: How to Solve It A New Aspect of Mathematical Method
Price: 3.74 USD
Availability: InStock
ISBN: 9780691119663

ISBN-10: 069111966X

ISBN-13: 9780691119663

Edition: 2nd 1945

Authors: John H. Conway, G. Polya

List price: $19.95

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Description:

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.In this best-selling classic, George Plya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that…

Book details

List price: $19.95
Edition: 2nd
Copyright year: 1945
Publisher: Princeton University Press
Publication date: 9/25/2015
Binding: Paperback
Pages: 288
Size: 5.00" wide x 8.00" long x 1.61" tall
Weight: 0.638
Language: English



From the preface to the first printing


From the preface to the seventh printing


Preface to the second edition


"How to solve it" list


Foreword


Introduction



In the classroom



Helping the student



Questions, recommendations, mental operations



Generality



Common sense



Teacher and student, imitation and practice



Four phases



Understanding the problem



Example



Devising a plan



Example



Carrying out the plan



Example



Looking back



Example



Various approaches



The teacher's method of questioning



Good questions and bad questions



A problem of construction



A problem to prove



A rate problem



How to solve it


A dialogue



Short dictionary of heuristic


Analogy


Auxiliary elements


Auxiliary problem


Bolzano


Bright idea


Can you check the result?


Can you derive the result differently?


Can you use the result?


Carrying out


Condition


Contradictory


Corollary


Could you derive something useful from the data?


Could you restate the problems?


Decomposing and recombining


Definition


Descartes


Determination, hope, success


Diagnosis


Did you use all the data?


Do you know a related problem?


Draw a figure


Examine your guess


Figures


Generalization


Have you seen it before?


Here is a problem related to yours and solved before


Heuristic


Heuristic reasoning


If you cannot solve the proposed problem


Induction and mathematical induction


Inventor's paradox


Is it possible to satisfy the condition?


Leibnitz


Lemma


Look at the unknown


Modern heuristic


Notation


Pappus


Pedantry and mastery


Practical problems


Problems to find, problems to prove


Progress and achievement


Puzzles


Reductio ad absurdum and indirect proof


Redundant


Routine problem


Rules of discovery


Rules of style


Rules of teaching


Separate the various parts of the condition


Setting up equations


Signs of progress


Specialization


Subconscious work


Symmetry


Terms, old and new


Test by dimension


The future mathematician


The intelligent problem-solver


The intelligent reader


The traditional mathematics professor


Variation of the problem


What is the unknown?


Why proofs?


Wisdom of proverbs


Working backwards



Problems, hints, solutions


Problems


Hints


Solutions