Number Theory by Shailesh Shirali echoes from Resonance Selected Articles C S Yogananda Universities Press

Foreword......Page 9
Preface......Page 10
1. On Provability versus Consistency in Elementary Mathematics SHAILESH A SHIRALI......Page 13
2. To find Four Distinct Positive Integers such that the Sum of Any Two of them is a Square S H ARAVIND......Page 18
3. Bachet's Problem B BAGCHI......Page 20
4. Mathematical Induction-An Impresario of the Infinite BSURY......Page 24
5. On the Infinitude of Prime Numbers - Euler's Proof SHAILESH A SHIRALI......Page 31
6. On Fermat's Two Squares Theorem SHAILESH A SHIRALI......Page 47
7. Fermat's Two Squares Theorem Revisited B BAGCHI......Page 52
8. Factoring Fermat Numbers -A Unique Computational Experiment for Factoring F9 C E VENIMADHAVAN......Page 61
9. The Class Number Problem - Binary Quadratic Forms RAJAT TANDON......Page 63
10. The Class Number Problem - An Introduction to Algebraic Number TheoryRAJAT TANDON......Page 70
11. Roots are Not Contained in Cyclotomic Fields RAJAT TANDON......Page 80
12. Die ganzen Zahlen hat Gott gemacht - Polynomials with Integer ValuesB SURY......Page 85
13. Prime Representing Quadratics N V TEJASWI......Page 98
14. The Congruent Number Problem V CHANDRASEKAR......Page 101
15. Fermat's Last Theorem-A Theorem at Last! C S YOGANANDA......Page 115
16. Some Unsolved Problems in Number Theory - Progress Made in Recent Times K RAMACHANDRA......Page 125
When and Where the Articles Appeared in Resonance......Page 132