This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology.
This collection of essays spans pure and applied mathematics. Readers interested in mathematical research and historical aspects of mathematics will appreciate the enlightening content of the material. Highlighting the pervasive nature of mathematics today in a host of different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology.
R. Sujatha is a professor at Tata Institute of Fundamental Research (TIFR)/Bombay University. Her research interests include algebra and number theory.H.N. Ramaswamy is a professor of mathematics at the University of Mysore. His research interests encompass algebra, number theory, and algebraic graph theory. He is also interested in the aesthetics surrounding mathematics, music, and nature.C.S. Yogananda teaches at Sri Jayachamarajendra College of Engineering. His research interests include number theory, arithmetic, and mathematics education.
Inhaltsangabe
Preface Part I: Mathematics for its Own Sake 1. Group Theory-What's Beyond 2. Splitting Primes 3. Elliptic Curves and Number Theory 4. Curvature and Relativity 5. Generating Functions 6. Approximating Continuous Functions by Polynomials Part II: Applicable Mathematics 7. The Wonderful World of Eigenvalues 8. On Pták's Nondiscrete Induction 9. Partial Differential Equations 10. Large Deviations 11. From the Binary Alphabet to Quantum Computation 12. Is There a Science Behind Opinion Polls? 13. An Introduction to Financial Mathematics Part III: Mathematics and Computer Science 14. Linear Time, Almost Linear Time, and Almost Always Linear Time: Snippets from the Work of Robert Endre Tarjan 15. Group Representations and Algorithmic Complexity 16. Regular Languages: From Automata to Logic and Back Part IV: Mathematics and Physics 17. Variational Calculus in Mathematics and Physics 18. The Forces of Nature 19. The Reciprocal Interaction Between Mathematics and Natural Law Part V: Mathematics and Biology 20. An Introduction to Mathematical Biology 21. Mathematics and Biology: The Growing Synergy 22. Mathematical Biology: A Modelling Approach 23. A Mathematical Approach to Brain and Cognition Part VI: Mathematics over the Millenia 24. Rational Quadrilaterals from Brahmagupta to Kummer 25. Magic Squares 26. Differences in Style, but not in Substance: Ancient Indian Study of Combinatorial Methods 27. In Square Circle: Geometric Knowledge of the Indus Civilization
Preface Part I: Mathematics for its Own Sake 1. Group Theory-What's Beyond 2. Splitting Primes 3. Elliptic Curves and Number Theory 4. Curvature and Relativity 5. Generating Functions 6. Approximating Continuous Functions by Polynomials Part II: Applicable Mathematics 7. The Wonderful World of Eigenvalues 8. On Pták's Nondiscrete Induction 9. Partial Differential Equations 10. Large Deviations 11. From the Binary Alphabet to Quantum Computation 12. Is There a Science Behind Opinion Polls? 13. An Introduction to Financial Mathematics Part III: Mathematics and Computer Science 14. Linear Time, Almost Linear Time, and Almost Always Linear Time: Snippets from the Work of Robert Endre Tarjan 15. Group Representations and Algorithmic Complexity 16. Regular Languages: From Automata to Logic and Back Part IV: Mathematics and Physics 17. Variational Calculus in Mathematics and Physics 18. The Forces of Nature 19. The Reciprocal Interaction Between Mathematics and Natural Law Part V: Mathematics and Biology 20. An Introduction to Mathematical Biology 21. Mathematics and Biology: The Growing Synergy 22. Mathematical Biology: A Modelling Approach 23. A Mathematical Approach to Brain and Cognition Part VI: Mathematics over the Millenia 24. Rational Quadrilaterals from Brahmagupta to Kummer 25. Magic Squares 26. Differences in Style, but not in Substance: Ancient Indian Study of Combinatorial Methods 27. In Square Circle: Geometric Knowledge of the Indus Civilization
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