Diophantine Discoveries Fundamentals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Discoveries Fundamentals write by N.B. Singh. This book was released on . Diophantine Discoveries Fundamentals available in PDF, EPUB and Kindle. "Diophantine Discoveries Fundamentals" is a beginner-friendly exploration of the captivating world of Diophantine equations, designed for those with no prior mathematical background. Delving into the realm of mathematical puzzles, this book offers clear and accessible explanations of Diophantine equations, starting from the basics and gradually building up the reader's understanding. Through engaging examples and straightforward language, readers are introduced to the fascinating concepts of finding whole number solutions to polynomial equations. From the historical significance of Diophantine equations to their applications in various fields such as number theory, algebra, and cryptography, this book serves as an inviting gateway for curious minds to unravel the mysteries of mathematics. Whether you're a student eager to expand your mathematical knowledge or simply someone with a passion for learning, "Diophantine Discoveries Fundamentals" provides an enjoyable and educational journey into the heart of mathematical exploration.
Diophantine Discoveries
Diophantine Discoveries - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Discoveries write by N.B. Singh. This book was released on . Diophantine Discoveries available in PDF, EPUB and Kindle. "Diophantine Discoveries" is a captivating exploration of the world of Diophantine equations, showcasing the beauty and intellectual allure of these mathematical puzzles. Written with clarity and enthusiasm, the book guides readers through the historical and contemporary significance of Diophantine equations, illuminating the ingenious methods and solutions developed by mathematicians over the centuries. From Fermat's Last Theorem to modern applications, the book provides a concise and engaging journey into the realm of Diophantine equations, making the subject accessible to both mathematicians and curious minds alik
An Introduction to Diophantine Equations
An Introduction to Diophantine Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Diophantine Equations write by Titu Andreescu. This book was released on 2010-09-02. An Introduction to Diophantine Equations available in PDF, EPUB and Kindle. This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Logarithmic Forms and Diophantine Geometry
Logarithmic Forms and Diophantine Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Logarithmic Forms and Diophantine Geometry write by A. Baker. This book was released on 2008-01-17. Logarithmic Forms and Diophantine Geometry available in PDF, EPUB and Kindle. There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.
Non-diophantine Arithmetics In Mathematics, Physics And Psychology
Non-diophantine Arithmetics In Mathematics, Physics And Psychology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-diophantine Arithmetics In Mathematics, Physics And Psychology write by Mark Burgin. This book was released on 2020-11-04. Non-diophantine Arithmetics In Mathematics, Physics And Psychology available in PDF, EPUB and Kindle. For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
