Coverart for item
The Resource How to solve it : a new aspect of mathematical method, G. Polya ; with a new foreword by John H. Conway

How to solve it : a new aspect of mathematical method, G. Polya ; with a new foreword by John H. Conway

Label
How to solve it : a new aspect of mathematical method
Title
How to solve it
Title remainder
a new aspect of mathematical method
Statement of responsibility
G. Polya ; with a new foreword by John H. Conway
Title variation
New aspect of mathematical method
Creator
Author
Subject
Genre
Language
eng
Summary
"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 Pólya revealed how the mathematica"--Publisher's description
Member of
Cataloging source
EBLCP
http://library.link/vocab/creatorDate
1887-1985
http://library.link/vocab/creatorName
Pólya, George
Dewey number
510.7
Illustrations
illustrations
Index
no index present
LC call number
QA11
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Princeton science library
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • Mathematics
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
Label
How to solve it : a new aspect of mathematical method, G. Polya ; with a new foreword by John H. Conway
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 4.
  • 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
  • Common sense
  • The traditional mathematics professor
  • Variation of the problem
  • What is the unknown?
  • Why proofs?
  • Wisdom of proverbs
  • Working backwards
  • pt. IV.
  • Problems, hints, solutions
  • 5.
  • Teacher and student, imitation and practice
  • 6.
  • Four phases
  • 7.
  • Understanding the problem
  • 8.
  • Example
  • pt. 1.
  • 9.
  • Devising a plan
  • 10.
  • Example
  • 11.
  • Carrying out the plan
  • 12.
  • Example
  • 13.
  • Looking back
  • In the classroom
  • 14.
  • Example
  • 15.
  • Various approaches
  • 16.
  • The teacher's method of questioning
  • 17.
  • Good questions and bad questions
  • 18.
  • A problem of construction
  • 1.
  • 19.
  • A problem to prove
  • 20.
  • A rate problem
  • pt. II.
  • How to solve it
  • A dialogue
  • pt. III.
  • Short dictionary of heuristic
  • Analogy
  • Helping the student
  • 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
  • 2.
  • 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?
  • Questions, recommendations, mental operations
  • 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
  • 3.
  • 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
  • Generality
  • 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
Control code
749264749
Edition
Expanded Princeton Science Library edition.
Extent
1 online resource (xxvii, 253 pages)
Form of item
online
Isbn
9781400828678
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
  • 819928
  • 22573/ctvc6331c
Specific material designation
remote
System control number
(OCoLC)749264749
Label
How to solve it : a new aspect of mathematical method, G. Polya ; with a new foreword by John H. Conway
Publication
Copyright
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 4.
  • 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
  • Common sense
  • The traditional mathematics professor
  • Variation of the problem
  • What is the unknown?
  • Why proofs?
  • Wisdom of proverbs
  • Working backwards
  • pt. IV.
  • Problems, hints, solutions
  • 5.
  • Teacher and student, imitation and practice
  • 6.
  • Four phases
  • 7.
  • Understanding the problem
  • 8.
  • Example
  • pt. 1.
  • 9.
  • Devising a plan
  • 10.
  • Example
  • 11.
  • Carrying out the plan
  • 12.
  • Example
  • 13.
  • Looking back
  • In the classroom
  • 14.
  • Example
  • 15.
  • Various approaches
  • 16.
  • The teacher's method of questioning
  • 17.
  • Good questions and bad questions
  • 18.
  • A problem of construction
  • 1.
  • 19.
  • A problem to prove
  • 20.
  • A rate problem
  • pt. II.
  • How to solve it
  • A dialogue
  • pt. III.
  • Short dictionary of heuristic
  • Analogy
  • Helping the student
  • 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
  • 2.
  • 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?
  • Questions, recommendations, mental operations
  • 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
  • 3.
  • 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
  • Generality
  • 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
Control code
749264749
Edition
Expanded Princeton Science Library edition.
Extent
1 online resource (xxvii, 253 pages)
Form of item
online
Isbn
9781400828678
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
  • 819928
  • 22573/ctvc6331c
Specific material designation
remote
System control number
(OCoLC)749264749

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