Thinking in problems : how mathematicians find creative solutions /
This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving m...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boston
Birkhäuser Boston
2013.
|
| Subjects: | |
| Online Access: | Click here to view the full text content |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Preface
- Using the Stars on Problems
- Understanding the Advanced Skill Requirements
- Acknowledgements
- Jacobi Identities and Related Combinatorial Formulas
- A Property of Recursive Sequences
- A Combinatorial Algorithm in Multiexponential Analysis
- A Frequently Encountered Determinant.- A Dynamical System with a Strange Attractor
- Polar and Singular Value Decomposition Theorems
- 2x2 Matrices Which Are Roots of Unity
- A Property of Orthogonal Matrices
- Convexity and Related Classical Inequalities
- One-Parameter Groups of Linear Transformations.- Some Problems in Combinatorics and Analysis that can be Explored using Generating Functions
- Least Squares and Chebyshev Systems
- References
- Index of Terms.