Number Theory

Shailesh Shirali;C S Yogananda

ISBN: 9788173714542 | Year: 2003 | Paperback | Pages: 112 | Language : English

Book Size: 158 x 240 mm | Territorial Rights: WORLD

Price: 495.00

Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone—from puzzle enthusiasts, problem solvers and amateur mathematicians to professional scientists and technologists. This book offers the reader some articles in number theory that appeared in Resonance over the years 1996–2001. The articles included within form a varied lot, beginning with a puzzle, “find four positive integers such that the sum of any two is a square,” to an expository article on one of the great mathematical achievements of the 20th century—the proof of “Fermat’s Last Theorem”.

Contributors (Author(s), Editor(s), Translator(s), Illustrator(s) etc.)

Foreword
Preface

  1. On Provability versus Consistency in Elementary Mathematics
    SHAILESH A SHIRALI
  2. To find Four Distinct Positive Integers such that the Sum of Any Two of them is a Square
    S H ARAVIND
  3. Bachet’s Problems
    B BAGCHI
  4. Mathematical Induction  --  An Impresario of the Infinite
    B SURY
  5. On the Infinitude of Prime Numbers  --  Euler’s Proof
    SHAILESH A SHIRALI
  6. On Fermat’s Two Squares Theorem
    SHAILESH A SHIRALI
  7. Fermat’s Two Squares Theorem Revisited
    B BAGCHI
  8. Factoring Fermat Numbers  --  A Unique Computational Experiment for Factoring F9
    C E VENI MADHAVAN
  9. The Class Number Problem  --  Binary Quadratic Forms
    RAJAT TANDON
  10. The Class Number Problem  --  An Introduction to Algebraic Number Theory
    RAJAT TANDON
  11. Roots are Not Contained in Cyclotomic Fields
    RAJAT TANDON
  12. Die ganzenZahlen hat Gott gemacht  -- Polynomials with Integer Values
    B SURY
  13. Prime Representing Quadratics
    N V TEJASWI
  14. The Congruent Number Problem
    V CHANDRASEKAR
  15. Fermat’s Last Theorem  --  A Theorem at Last!
    C S YOGANANDA
  16. Some Unsolved Problems in Number Theory  --  Progress Made in Recent Times
    K RAMACHANDRA

When and Where the Articles Appeared in Resonance
Index

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