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The Solution of Equations in Integers

The Solution of Equations in Integers
Author: A. O. Gelfond
Publisher: Courier Dover Publications
Total Pages: 81
Release: 2018-03-19
Genre: Mathematics
ISBN: 048682988X

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Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition.


Prealgebra 2e

Prealgebra 2e
Author: Lynn Marecek
Publisher:
Total Pages: 1148
Release: 2020-03-11
Genre:
ISBN: 9781680923261

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The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.


The Solution of Equations in Integers

The Solution of Equations in Integers
Author: A. O. Gelfond
Publisher: Courier Dover Publications
Total Pages: 81
Release: 2018-04-18
Genre: Mathematics
ISBN: 0486824594

Download The Solution of Equations in Integers Book in PDF, ePub and Kindle

Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition.


An Introduction to Diophantine Equations

An Introduction to Diophantine Equations
Author: Titu Andreescu
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2010-09-02
Genre: Mathematics
ISBN: 0817645497

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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.


BIQUADRATIC DIOPHANTINE EQUATIONS WITH INTEGER SOLUTIONS

BIQUADRATIC DIOPHANTINE EQUATIONS WITH INTEGER SOLUTIONS
Author: Prof. Dr. M.A. Gopalan
Publisher: KY Publications
Total Pages: 83
Release: 2018-07-01
Genre: Mathematics
ISBN: 9387769232

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The theory of Diophantine equation is an ancient subject that typically involves solving polynomial equations in integers. It is well known that a Diophantine equation is an equation with integer coefficient and multiple variables ( 2) having integer solutions. There is no universal method available to know whether a Diophantine equation has a solutions or finding all solutions, if it exists. Proving that even simple Diophantine equations have no solutions may require very sophisticated methods and in such cases, a lot of deep and beautiful mathematics get generated as a result. It is worth to observe that Diophatine equations are rich in variety. A collection of special Problems on biquadratic equations in 3,4,5 & 6 variables has been treated in sections A to D respectively. Different sets of integer solutions to each of the biquadratic diophatine equations are illustrated.