Techniques of problem solving /
Krantz, Steven G. 1951-
Techniques of problem solving / Steven G. Krantz. - Providence, R.I. : American Mathematical Society, c1997. - xiii, 465 p. : ill. ; 26 cm.
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
082180619X (acidfree paper) 9780821806197
96023878
Problem solving.
QA63 / .K73 1997
510.76 / KRA
Techniques of problem solving / Steven G. Krantz. - Providence, R.I. : American Mathematical Society, c1997. - xiii, 465 p. : ill. ; 26 cm.
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
082180619X (acidfree paper) 9780821806197
96023878
Problem solving.
QA63 / .K73 1997
510.76 / KRA