# Techniques of problem solving / Steven G. Krantz.

Material type: TextPublication details: Providence, R.I. : American Mathematical Society, c1997.Description: xiii, 465 p. : ill. ; 26 cmISBN:- 082180619X (acidfree paper)
- 9780821806197

- 510.76 20 KRA

- QA63 .K73 1997

Item type | Current library | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|

Project book | CUTN Central Library Sciences | Non-fiction | 510.76 KRA (Browse shelf(Opens below)) | Checked out to Renuka Devi V (20019T) | 31/01/2024 | 48923 |

Includes bibliographical references (p. 361-363) and index.

Front Cover

TABLE OF CONTENTS

PREFACE

ACKNOWLEDGEMENTS

Chapter 1 Basic Concepts

1.1 Introductory Remarks

1.2 A First Problem

1.3 How to Count

1.4 The Use of Induction

1.5 Problems of Logic

1.6 Issues of Parity

EXERCISES for Chapter 1

Chapter 2 A Deeper Look at Geometry

2.1 Classical Planar Geometry

2.2 Analytic Geometry

2.3 Miscellaneous and Exotic Geometry Problems

2.4 Solid Geometry

EXERCISES for Chapter 2

Chapter 3 Problems Involving Counting

3.1 Elementary Problems in Probability

3.2 More Sophisticated Problems in Probability

3.3 More on Counting

3.4 The Classical Marriage Problem and Related Ideas

EXERCISES for Chapter 3

Chapter 4 Problems of Logic

4.1 Straight Logic

4.2 Games

4.3 Tracing Routes, and Learning from Parity

4.4 Mysterious Arithmetic Problems

4.5 Surprises

EXERCISES for Chapter 4

Chapter 5 Recreational Math

5.1 Magic Squares and Related Ideas

5.2 Problems Involving Weighings

EXERCISES for Chapter 5

Chapter 6 Algebra and Analysis

6.1 A Little Algebra

6.2 Inequalities

6.3 Trigonometry and Related Ideas

EXERCISES for Chapter 6

Chapter 7 A Miscellany

7.1 Crossing the River and Similar Exercises

7.2 Things That Are Impossible

EXERCISES for Chapter 7

Chapter 8 Real Life

8.0 Introductory Remarks

8.1 Everyday Objects

8.2 Some Case Studies

8.3 Statistics

EXERCISES for Chapter 8

Bibliography

Index

Solutions to Odd-Numbered Problems

Preface

Chapter 1 Basic Concepts

Chapter 2 A Deeper Look at Geometry

Chapter 3 Problems Involving Counting

Chapter 4 Problems of Logic

Chapter 5 Recreational Math

Chapter 6 Algebra and Analysis

Chapter 7 A Miscellany

Chapter 8 Real Life

Back Cover

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