How to solve it : a new aspect of Mathematical method (Record no. 56634)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03670 a2200169 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9784871878302 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Item number | POL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Polya, G |
| 245 ## - TITLE STATEMENT | |
| Title | How to solve it : a new aspect of Mathematical method |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New York |
| Name of publisher, distributor, etc | ISHI Press International |
| Date of publication, distribution, etc | 2009 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxi,253p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Contents<br/>From the Preface to the First Printing V<br/>From the Preface to the Seventh Printing Viii<br/>Preface to the Second Edition ix<br/>"How To Solve It" list xvi<br/>Introduction xix<br/>PART I. IN THE CLASSROOM <br/>Purpose<br/>1.Helping the student 1<br/>2.Questions, recommendations,mental operations 1<br/>3 Generality 2<br/>4 Common sense 3<br/>5 Teacher and student. Imitation and practice 3<br/>Main divisions main questions<br/>6. Four phases 5<br/>7 Understanding the problem 6<br/>8. Example 7<br/>9 Devising a plan 8<br/>10. Example 10<br/>11 Carrying out the plan 12<br/>12. Example 13<br/>13. Looking back 14<br/>14. Example 16<br/>15. Various approaches 19<br/>16. The teacher's method of questioning 20<br/>17. Good questions and bad questions 22<br/>More examples<br/>18. A problem of construction 23<br/>19. A problem to prove 25<br/>20. A rate problem 29<br/>PART II. HOW TO SOLVE IT <br/>A dialogue 33<br/>PART III SHORT DICTIONARY OF HEURISTIC<br/>Analogy 37<br/>Auxiliary elements 46<br/>Auxiliary problem 50<br/>Bolzano 57<br/>Bright idea 58<br/>Can you check the result? 59<br/>Can you derive the result differently? 61<br/>Can you use the result? 64<br/>Carrying out 68<br/>Condition 72<br/> Contradictoryt 73<br/>Corollary 73<br/>Could you derive something useful from the data? 73<br/>Could you restate the problem? 75<br/>Decomposing and recombining 75<br/>Definition 85<br/>Descartes 92<br/>Determination,hope success 93<br/>Diagnosis 94<br/>Did you use all the data ?<br/>Do you know a related problem? 98 Draw a figure 99<br/>Examine your guess 99<br/>Figures 103<br/>Generalization 108<br/>Have you seen it before? 110<br/>Here is a problem related to yours and solved before 110<br/>Heuristic 112<br/>Heuristic reasoning 113<br/>If you cannot solve the proposed problem 114<br/>Induction and mathematical induction 114<br/>Inventor's paradox 121<br/>Is it possible to satisfy the condition? 122<br/>Lemma 123 <br/>Look at the unknown 123 <br/>Modern heuristic 129<br/>Notation 134 <br/>Pappus 141<br/>Pedantry and mastery 148<br/>Practical problems 149<br/>Problems to find, problems to prove 154<br/>Progress and achievement 157<br/>Puzzles 160<br/>Reductio ad absurdum and indirect proof 162<br/> Redundantt 171<br/>Routine problem 171<br/> Rules of discovery 172<br/>Rules of style 172<br/>Rules of teaching 173<br/>Separate the various parts of the condition 173<br/>Setting up equations 174<br/>Signs of progress 178<br/>Specialization 190<br/>Subconscious work 197<br/>Symmetry 199<br/>Terms, old and new 200<br/>Test by dimension 202<br/>The future mathematician 205<br/>The intelligent problem-solver 206<br/>The intelligent reader 207<br/>The traditional mathematics professor 208<br/>Variation of the problem 209<br/>What is the unknown? 214<br/>Why proofs? 215<br/>Wisdom of proverbs 221<br/>Working backwards 225<br/>PART IV. PROBLEMS,HINTS,SOLUTIONS<br/>Problems 234<br/>Hints 238<br/>Solutions 242<br/> <br/><br/><br/><br/> <br/><br/><br/><br/><br/><br/><br/><br/> <br/><br/> <br/><br/><br/><br/><br/><br/> <br/><br/> <br/> <br/><br/><br/><br/><br/><br/><br/><br/><br/> <br/><br/><br/><br/><br/><br/><br/><br/> <br/><br/> <br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/> <br/><br/> <br/><br/><br/><br/><br/><br/><br/> <br/> <br/> |
| 600 ## - SUBJECT ADDED ENTRY--PERSONAL NAME | |
| 9 (RLIN) | 41303 |
| 890 ## - Country | |
| Country | USA |
| 891 ## - Topic | |
| Topic | FA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Withdrawn status | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last borrowed | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Faculty of Architecture | CEPT Library | CEPT Library | 11/11/2019 | amazon.in | 1898.00 | 3 | 1 | 510 POL | 021529 | 02/07/2021 | 02/07/2020 | 1898.00 | 24/09/2019 | Book |