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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roytvarf, Alexander A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Temas:
Algebra.
Mathematical analysis.
Discrete mathematics.
Analysis.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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