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Thinking in Problems: How Mathematicians Find Creative Solutions

Publisher: 
Birkhäuser
Number of Pages: 
405
Price: 
79.95
ISBN: 
9780817684051
Date Received: 
Tuesday, February 12, 2013
Reviewable: 
Include In BLL Rating: 
Alexander A. Roytvarf
Publication Date: 
2013
Format: 
Hardcover
Category: 
Problem Book

Section I. Problems.- 1. Jacobi Identities and Related Combinatorial Formulas.- 2. A Property of Recurrent Sequences.- 3. A Combinatorial Algorithm in Multiexponential Analysis.- 4. A Frequently Encountered Determinant.- 5. A Dynamical System with a Strange Attractor.- 6. Polar and Singular Value Decomposition Theorems.- 7. 2X2 Matrices Which Are Roots of 1.- 8. A Property of Orthogonal Matrices.- 9. Convexity and Related Classical Inequalities.- 10. One-Parameter Groups of Linear Transformations.- 11. Examples of Generating Functions in Combinatorial Theory and Analysis.- 12. Least Squares and Chebyshev Systems.- Section II. Hints.- 1. Jacobi Identities and Related Combinatorial Formulas.- 2. A Property of Recurrent Sequences.- 3. A Combinatorial Algorithm in Multiexponential Analysis.- 4. A Frequently Encountered Determinant.- 5. A Dynamical System with a Strange Attractor.- 6. Polar and Singular Value Decomposition Theorems.- 7. 2X2 Matrices Which Are Roots of 1.- 8. A Property of Orthogonal Matrices.- 9. Convexity and Related Classical Inequalities.- 10. One-Parameter Groups of Linear Transformations.- 11. Examples of Generating Functions in Combinatorial Theory and Analysis.- 12. Least Squares and Chebyshev Systems.- Section III. Explanations.-1. Jacobi Identities and Related Combinatorial Formulas.- 2. A Property of Recurrent Sequences.- 3. A Combinatorial Algorithm in Multiexponential Analysis.- 4. A Frequently Encountered Determinant.- 5. A Dynamical System with a Strange Attractor.- 6. Polar and Singular Value Decomposition Theorems.- 7. 2X2 Matrices Which Are Roots of 1.- 8. A Property of Orthogonal Matrices.- 9. Convexity and Related Classical Inequalities.- 10. One-Parameter Groups of Linear Transformations.- 11. Examples of Generating Functions in Combinatorial Theory and Analysis.- 12. Least Squares and Chebyshev Systems.- Section IV. Full Solutions.- 1. Jacobi Identities and Related Combinatorial Formulas.- 2. A Property of Recurrent Sequences.- 3. A Combinatorial Algorithm in Multiexponential Analysis.- 4. A Frequently Encountered Determinant.- 5. A Dynamical System with a Strange Attractor.- 6. Polar and Singular Value Decomposition Theorems.- 7. 2X2 Matrices Which Are Roots of 1.- 8. A Property of Orthogonal Matrices.- 9. Convexity and Related Classical Inequalities.- 10. One-Parameter Groups of Linear Transformations.- 11. Examples of Generating Functions in Combinatorial Theory and Analysis.- 12. Least Squares and Chebyshev Systems.

Publish Book: 
Modify Date: 
Tuesday, February 12, 2013

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