Thinking in Problems How Mathematicians Find Creative Solutions /

• Κύριος συγγραφέας: Roytvarf, Alexander A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
• Θέματα: Mathematics.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Combinatorics.; Analysis.

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...

Πίνακας περιεχομένων:

• 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.