1st Edition

Math Unlimited Essays in Mathematics

Edited By R. Sujatha, H. N. Ramaswamy, C. S. Yogananda Copyright 2011
    350 Pages 33 Color & 51 B/W Illustrations
    by CRC Press

    492 Pages
    by CRC Press

    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 these essays. Highlighting the pervasive nature of mathematics today in different areas, the book also covers the spread of mathematical ideas and techniques in areas ranging from computer science to physics to biology.

    Preface
    Mathematics for its Own Sake
    Group Theory—What’s Beyond
    B. Sury
    Splitting Primes Chandan Singh Dalawat
    Elliptic Curves and Number Theory R. Sujatha
    Curvature and Relativity Siddhartha Gadgil
    Generating Functions S. Ramanan
    Approximating Continuous Functions by Polynomials Gautam Bharali

    Applicable Mathematics
    The Wonderful World of Eigenvalues Arup Bose and Aloke Dey
    On Pták’s Nondiscrete Induction A.S.Vasudeva Murthy
    Partial Differential Equations P.N. Srikanth
    Large Deviations S.R.S. Varadhan
    From the Binary Alphabet to Quantum Computation K.R. Parthasarathy
    Is There a Science Behind Opinion Polls? Rajeeva L. Karandikar
    An Introduction to Financial Mathematics Sandeep Juneja

    Mathematics and Computer Science
    Linear Time, Almost Linear Time, and Almost Always Linear Time: Snippets from the Work of Robert Endre Tarjan Jaikumar Radhakrishnan
    Group Representations and Algorithmic Complexity K.V. Subrahmanyam
    Regular Languages: From Automata to Logic and Back Madhavan Mukund

    Mathematics and Physics
    Variational Calculus in Mathematics and Physics Rajesh Gopakumar
    The Forces of Nature Sudarshan Ananth
    The Reciprocal Interaction Between Mathematics and Natural Law Sunil Mukhi

    Mathematics and Biology
    An Introduction to Mathematical Biology Pranay Goel
    Mathematics and Biology: The Growing Synergy Dhiraj Kumar and Samrat Chatterjee
    Mathematical Biology: A Modelling Approach Sunita Gakkhar
    A Mathematical Approach to Brain and Cognition Shripad Kondra and Prasun Kumar Roy

    Mathematics over the Millenia
    Rational Quadrilaterals from Brahmagupta to Kummer R. Sridharan
    Magic Squares Raja Sridharan and M.D. Srinivas
    Differences in Style, but not in Substance:Ancient Indian Study of Combinatorial Methods Raja Sridharan, R. Sridharan and M.D. Srinivas
    In Square Circle: Geometric Knowledge of the Indus Civilization Sitabhra Sinha, Nisha Yadav and Mayank Vahia
    Index

    Color Plate Section

    Biography

    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.