Math Unlimited: Essays in Mathematics

ISBN-13: 9781578087044 / Angielski / Miękka / 2011 / 350 str.

R. Sujatha; H. N. Ramaswamy; C. S. Yogananda

Opis

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.

Spis treści

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