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On The Best Bound For The Solvability Of A Linear Diophantine Equation By Positive Integers
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Book Synopsis On the Best Bound for the Solvability of a Linear Diophantine Equation by Positive Integers by : James Edgar Shockley
Download or read book On the Best Bound for the Solvability of a Linear Diophantine Equation by Positive Integers written by James Edgar Shockley and published by . This book was released on 1962 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Diophantine Equations by : Titu Andreescu
Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Method to Solve the Diophantine Equation by : FLORENTIN SMARANDACHE
Download or read book A Method to Solve the Diophantine Equation written by FLORENTIN SMARANDACHE and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, we show that: if the equation has an integer solution and a⋅b is not a perfect square, then (1) has an infinitude of integer solutions; in this case we find a closed expression for (xn,yn), the general positive integer solution, by an original method. More, we generalize it for any Diophantine equation of second degree and with two unknowns.
Book Synopsis Analytic Methods for Diophantine Equations and Diophantine Inequalities by : H. Davenport
Download or read book Analytic Methods for Diophantine Equations and Diophantine Inequalities written by H. Davenport and published by Cambridge University Press. This book was released on 2005-02-07 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.
Book Synopsis The American Mathematical Monthly by :
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1967 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of the Elisha Mitchell Scientific Society by : Elisha Mitchell Scientific Society (Chapel Hill, N.C.)
Download or read book Journal of the Elisha Mitchell Scientific Society written by Elisha Mitchell Scientific Society (Chapel Hill, N.C.) and published by . This book was released on 1987 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 20- include Proceedings of the North Carolina academy of science, 1902-
Book Synopsis Upper Bounds for the Numbers of Solutions of Diophantine Equations by : J. H. Evertse
Download or read book Upper Bounds for the Numbers of Solutions of Diophantine Equations written by J. H. Evertse and published by . This book was released on 1983 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diophantine Equations written by and published by Academic Press. This book was released on 1969 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diophantine Equations
Book Synopsis Solving Diophantine Equations by : Octavian Cira
Download or read book Solving Diophantine Equations written by Octavian Cira and published by Infinite Study. This book was released on 2014 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a multitude of Diophantine equations and their partial or complete solutions are presented. How should we solve, for example, the equation η(π(x)) = π(η(x)), where η is the Smarandache function and π is Riemann function of counting the number of primes up to x, in the set of natural numbers? If an analytical method is not available, an idea would be to recall the empirical search for solutions. We establish a domain of searching for the solutions and then we check all possible situations, and of course we retain among them only those solutions that verify our equation. In other words, we say that the equation does not have solutions in the search domain, or the equation has n solutions in this domain. This mode of solving is called partial resolution. Partially solving a Diophantine equation may be a good start for a complete solving of the problem. The authors have identified 62 Diophantine equations that impose such approach and they partially solved them. For an efficient resolution it was necessarily that they have constructed many useful ”tools” for partially solving the Diophantine equations into a reasonable time. The computer programs as tools were written in Mathcad, because this is a good mathematical software where many mathematical functions are implemented. Transposing the programs into another computer language is facile, and such algorithms can be turned to account on other calculation systems with various processors.
Download or read book Research in Progress written by and published by . This book was released on 1955 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in Progress by : North Carolina State University. Graduate School
Download or read book Research in Progress written by North Carolina State University. Graduate School and published by . This book was released on 1954 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Positive Integer Solutions of Linear Diophantine Equations by : Cecil Doris Berry
Download or read book Positive Integer Solutions of Linear Diophantine Equations written by Cecil Doris Berry and published by . This book was released on 1983 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diophantine Approximation by : Robert F. Tichy
Download or read book Diophantine Approximation written by Robert F. Tichy and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Book Synopsis Record by : University of North Carolina (1793-1962)
Download or read book Record written by University of North Carolina (1793-1962) and published by . This book was released on 1955 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1970 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Doctoral Dissertations by : Council of Southern Universities. Southern Fellowship Fund
Download or read book Doctoral Dissertations written by Council of Southern Universities. Southern Fellowship Fund and published by . This book was released on 1955 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts written by and published by . This book was released on 1965-03 with total page 1384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstracts of dissertations and monographs in microform.
