eBook ISBN:  9781470448738 
Product Code:  CLRM/12.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 
eBook ISBN:  9781470448738 
Product Code:  CLRM/12.E 
List Price:  $45.00 
MAA Member Price:  $33.75 
AMS Member Price:  $33.75 

Book DetailsClassroom Resource MaterialsVolume: 12; 1999; 222 pp
Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout science, than they might first appear.
This book concentrates on these inverse problems and how they can be usefully introduced to undergraduate students. A historical introduction sets the scene and gives a cultural context for the rest of the book. Chapters dealing with inverse problems in calculus, differential equations and linear algebra then follow and the book concludes with suggestions for further reading. Whatever their own field of expertise, this will be an essential purchase for anyone interested in the teaching of mathematics.

Table of Contents

Chapters

1. Introduction to inverse problems

2. Inverse problems in precalculus

3. Inverse problems in calculus

4. Inverse problems in differential equations

5. Inverse problems in linear algebra

Appendix A. Selected answers & advice

Appendix B. MATLAB scripts


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Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout science, than they might first appear.
This book concentrates on these inverse problems and how they can be usefully introduced to undergraduate students. A historical introduction sets the scene and gives a cultural context for the rest of the book. Chapters dealing with inverse problems in calculus, differential equations and linear algebra then follow and the book concludes with suggestions for further reading. Whatever their own field of expertise, this will be an essential purchase for anyone interested in the teaching of mathematics.

Chapters

1. Introduction to inverse problems

2. Inverse problems in precalculus

3. Inverse problems in calculus

4. Inverse problems in differential equations

5. Inverse problems in linear algebra

Appendix A. Selected answers & advice

Appendix B. MATLAB scripts