{ "item_title" : "Thinking in Problems", "item_author" : [" Alexander A. Roytvarf "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/0/81/768/405/0817684050_b.jpg", "price_data" : { "retail_price" : "84.99", "online_price" : "84.99", "our_price" : "84.99", "club_price" : "84.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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