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 mathem...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Boston :
Birkhäuser Boston
2013.
Cham : Springer Nature |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Thinking in problems, how mathematicians find creative solutions, Alexander A. Roytvarf, New York, Birkhäuser/Springer, 2013, 1 vol. (XXXVII-405 p.), 978-0-8176-8405-1 |
Sisällysluettelo:
- 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