Fundamental Structures of Algebra and Discrete Mathematics

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Release : 2011-02-14
Genre : Mathematics
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Book Rating : 431/5 ( reviews)

Fundamental Structures of Algebra and Discrete Mathematics - 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 Fundamental Structures of Algebra and Discrete Mathematics write by Stephan Foldes. This book was released on 2011-02-14. Fundamental Structures of Algebra and Discrete Mathematics available in PDF, EPUB and Kindle. Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.

Discrete Mathematics and Algebraic Structures

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Release : 1987-01-01
Genre : Algebra, Abstract.
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Book Rating : 048/5 ( reviews)

Discrete Mathematics and Algebraic Structures - 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 Discrete Mathematics and Algebraic Structures write by Larry J. Gerstein. This book was released on 1987-01-01. Discrete Mathematics and Algebraic Structures available in PDF, EPUB and Kindle. Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.

Applied Discrete Structures - Part 2- Algebraic Structures

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Release : 2017-05-15
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Book Rating : 986/5 ( reviews)

Applied Discrete Structures - Part 2- Algebraic Structures - 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 Applied Discrete Structures - Part 2- Algebraic Structures write by Ken Levasseur. This book was released on 2017-05-15. Applied Discrete Structures - Part 2- Algebraic Structures available in PDF, EPUB and Kindle. Applied Discrete Structures, Part II - Algebraic Structures, is an introduction to groups, monoids, vector spaces, lattices, boolean algebras, rings and fields. It corresponds with the content of Discrete Structures II at UMass Lowell, which is a required course for students in Computer Science. It presumes background contained in Part I - Fundamentals. Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Applied Discrete Structures

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Release : 2012-02-25
Genre : Applied mathematics
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Book Rating : 297/5 ( reviews)

Applied Discrete Structures - 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 Applied Discrete Structures write by Ken Levasseur. This book was released on 2012-02-25. Applied Discrete Structures available in PDF, EPUB and Kindle. Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Discrete Mathematics

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Release : 2019-07-30
Genre : Mathematics
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Book Rating : 621/5 ( reviews)

Discrete Mathematics - 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 Discrete Mathematics write by Sriraman Sridharan. This book was released on 2019-07-30. Discrete Mathematics available in PDF, EPUB and Kindle. Conveying ideas in a user-friendly style, this book has been designed for a course in Applied Algebra. The book covers graph algorithms, basic algebraic structures, coding theory and cryptography. It will be most suited for senior undergraduates and beginning graduate students in mathematics and computer science as also to individuals who want to have a knowledge of the below-mentioned topics. Provides a complete discussion on several graph algorithms such as Prims algorithm and Kruskals algorithm for sending a minimum cost spanning tree in a weighted graph, Dijkstras single source shortest path algorithm, Floyds algorithm, Warshalls algorithm, Kuhn-Munkres Algorithm. In addition to DFS and BFS search, several applications of DFS and BFS are also discussed. Presents a good introduction to the basic algebraic structures, namely, matrices, groups, rings, fields including finite fields as also a discussion on vector spaces and linear equations and their solutions. Provides an introduction to linear codes including cyclic codes. Presents a description of private key cryptosystems as also a discussion on public key cryptosystems such as RSA, ElGamal and Miller-Rabin. Finally, the Agrawal-KayalSaxena algorithm (AKS Algorithm) for testing if a given positive integer is prime or not in polynomial time is presented- the first time in a textbook. Two distinguished features of the book are: Illustrative examples have been presented throughout the book to make the readers appreciate the concepts described. Answers to all even-numbered exercises in all the chapters are given.