Explorations in Diophantine Equations

Dr. G. Janaki
Associate Professor, PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

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Book Details

Edited by

Dr. G. Janaki

Pages

124

Publisher

B P International

ISBN-13 (15)

978-81-967488-3-8 (Print)
978-81-967488-6-9 (eBook)

Language

English

Published

November 11, 2023

About The Author / Editor

Dr. G. Janaki

Associate Professor, PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli - 620 018, Tamil Nadu, India.

Since ancient times, number theory has always occupied the unquestioned historical importance of the subject. Number theory is both pure and applied and, at the same time, both classical and modern. The authors aim to integrate the richness and beauty of the subject, and at the same time, the book is full of unexpected usefulness. In the present text, the authors have worked hard to assemble many contrasting aspects of number theory into one standard textbook.

The contributions by the authors include Diophantine equation, integral solutions, ternary quadratic equation with three unknowns, cubic equation, ternary cubic, narcissistic number, pell equation, transcendental equation, heptagonal pyramidal number, Diophantine triples, triples, perfect square, pyramidal number, octagonal number, octagonal pyramidal number, Rhombic Dodecagonal Number, Diophantine quadruple, gnomonic number, binary quadratic equation, centred polygonal numbers, balancing numbers, encryption-decryption algorithm,  matrix, cryptography, pythagorean prime.

The now much expanded text covers elements of cryptography and primality testing. This book contains various materials suitable for students, researchers, and academicians in the fields of mathematics and computer science.