Math Unlimited (eBook, PDF)

Essays in Mathematics
Redaktion: Sujatha, R.; Yogananda, C. S.; Ramaswamy, H. N.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 350
• Erscheinungstermin: 11. November 2011
• Englisch
• ISBN-13: 9781439876336
• Artikelnr.: 57532904

Autorenporträt

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