1st Edition

# Math Unlimited Essays in Mathematics

**Also available as eBook on:**

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.