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| 001 | on1049989528 | ||
| 003 | OCoLC | ||
| 005 | 20220908100146.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 151126s2014 xx o 000 0 eng d | ||
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| 019 | _a1175640693 | ||
| 020 | _a9781400828678 | ||
| 020 | _a1400828678 | ||
| 020 | _a9780691164076 | ||
| 020 |
_a069116407X _q(Trade Paper) |
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| 037 | _b00021620 | ||
| 037 |
_a9453287 _bIEEE |
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| 050 | 4 | _aHQ1785 .M34 2008 | |
| 082 | 0 | 4 | _a510 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aPolya, G. _965195 |
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| 245 | 1 | 0 |
_aHow to Solve It : _ba New Aspect of Mathematical Method. |
| 260 |
_bPrinceton University Press, _c2014. |
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| 300 | _a1 online resource (288 pages). | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 | _aPrinceton Science Library. | |
| 588 | 0 | _aPrint version record. | |
| 505 | 0 | _aCover; Title; Copyright; Contents; 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; PART I. IN THE CLASSROOM; Purpose; 1. Helping the student; 2. Questions, recommendations, mental operations; 3� Generality; 4� Common sense; 5� Teacher and student. Imitation and practice; Main divisions, main questions; 6. Four phases; 7� Understanding the problem; 8. Example; 9. Devising a plan; 10. Example; 11. Carrying out the plan; 12. Example; 13� Looking back; 14� Example. | |
| 505 | 8 | _a15� Various approaches16. The teacher's method of questioning; 17� Good questions and bad questions; More examples; 18. A problem of construction; 19. A problem to prove; 20. A rate problem; PART II. HOW TO SOLVE IT; A dialogue; PART III. 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 problem? ; Decomposing and recombining. | |
| 505 | 8 | _aDefinitionDescartes; 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. | |
| 505 | 8 | _aProgress and achievementPuzzles; 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; PART IV. PROBLEMS, HINTS, SOLUTIONS; Problems. | |
| 500 | _aHintsSolutions. | ||
| 520 | _aA 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. | ||
| 590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
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| 650 | 0 |
_aMathematics _xStudy and teaching. _913415 |
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| 650 | 0 |
_aMathematics _vProblems, exercises, etc. _965196 |
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| 650 | 4 |
_aFeminism _xIslamic countries. _965197 |
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| 650 | 4 |
_aFeminism _xReligious aspects _xIslam. _965198 |
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| 650 | 4 |
_aGender identity _xIslamic countries. _965199 |
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| 650 | 4 |
_aIslamic renewal _zEgypt _xCairo _xCase studies. _965200 |
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| 650 | 4 |
_aMathematics. _911584 |
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| 650 | 4 |
_aMathematics _xStudy and teaching. _913415 |
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| 650 | 4 |
_aMuslim women _zEgypt _xCairo _xReligious life _xCase studies. _965201 |
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| 650 | 4 |
_aWomen in Islam. _965202 |
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| 650 | 6 |
_aMath�ematiques _x�Etude et enseignement. _965203 |
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| 650 | 7 |
_aMATHEMATICS / Logic. _2bisacsh _916155 |
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| 650 | 7 |
_aMathematics. _2fast _0(OCoLC)fst01012163 _911584 |
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| 650 | 7 |
_aMathematics _xStudy and teaching. _2fast _0(OCoLC)fst01012236 _913415 |
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| 655 | 4 |
_aElectronic books. _93294 |
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| 655 | 7 |
_aProblems and exercises. _2fast _0(OCoLC)fst01423783 _97271 |
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| 776 | 0 | 8 |
_iPrint version: _aPolya, G. _tHow to Solve It : A New Aspect of Mathematical Method. _d: Princeton University Press, �2014 _z9780691150956 |
| 830 | 0 |
_aPrinceton science library. _965204 |
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| 856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9453287 |
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