Applied Discrete Structures Part 2 Algebraic Structures PDF Download
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Author | : Ken Levasseur |
Publisher | : Lulu.com |
Total Pages | : 254 |
Release | : 2017-05-15 |
Genre | : |
ISBN | : 1105618986 |
Download Applied Discrete Structures - Part 2- Algebraic Structures Book 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.
Author | : Ken Levasseur |
Publisher | : Lulu.com |
Total Pages | : 574 |
Release | : 2012-02-25 |
Genre | : Applied mathematics |
ISBN | : 1105559297 |
Download Applied Discrete Structures Book 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.
Author | : Ken Levasseur |
Publisher | : |
Total Pages | : 354 |
Release | : 2017-05-02 |
Genre | : Science |
ISBN | : 9781365933585 |
Download Applied Discrete Structures - Part 1 Book in PDF, ePub and Kindle
This is Part 1 of Applied Discrete Structures, containing the fundamental concepts taught in a one semester course in discrete mathematics. It corresponds with the content of Discrete Structures I at UMass Lowell, which is a required course for students in Computer Science, Mathematics and Information Technology. Part II - Applied Abstract Algebra would normally be used in a second semester course such as Discrete Structures II at UMass Lowell. 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/) Version 3.6 - May 2019
Author | : Alan Doerr |
Publisher | : |
Total Pages | : 690 |
Release | : 1989 |
Genre | : Computer science |
ISBN | : |
Download Applied Discrete Structures for Computer Science Book in PDF, ePub and Kindle
Author | : K. D. Joshi |
Publisher | : New Age International |
Total Pages | : 966 |
Release | : 1997 |
Genre | : Computer science |
ISBN | : 9788122408263 |
Download Applied Discrete Structures Book in PDF, ePub and Kindle
Although This Book Is Intended As A Sequel To Foundations Of Discrete Mathematics By The Same Author, It Can Be Read Independently Of The Latter, As The Relevant Background Needed Has Been Reviewed In Chapter 1. The Subsequent Chapters Deal With Graph Theory (With Applications), Analysis Of Algorithms (With A Detailed Study Of A Few Sorting Algorithms And A Discussion Of Tractability), Linear Programming (With Applications, Variations, Karmarkars Polynomial Time Algorithm, Integer And Quadratic Programming), Applications Of Algebra (To Polyas Theory Of Counting, Galois Theory, Coding Theory Of Designs). A Chapter On Matroids Familiarises The Reader With This Relatively New Branch Of Discrete Mathematics.Even Though Some Of The Topics Are Relatively Advanced, An Attempt Has Been Made To Keep The Style Elementary, So That A Sincere Student Can Read The Book On His Own. A Large Number Of Comments, Exercises, And References Is Included To Broaden The Readers Scope Of Vision. A Detailed Index Is Provided For Easy Reference.
Author | : Stephan Foldes |
Publisher | : John Wiley & Sons |
Total Pages | : 362 |
Release | : 2011-02-14 |
Genre | : Mathematics |
ISBN | : 1118031431 |
Download Fundamental Structures of Algebra and Discrete Mathematics Book 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.
Author | : Alan Doerr |
Publisher | : |
Total Pages | : 496 |
Release | : 2015 |
Genre | : Mathematics |
ISBN | : |
Download Applied Discrete Structures Book in PDF, ePub and Kindle
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topics in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures for Computer Science a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation. Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes:Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid;Suggested coverage times;Detailed solutions to most even-numbered exercises;Sample quizzes, exams, and final exams. Subscribe to the Applied Discrete Structures Blog to keep up to date on the progress of this project. This textbook has been used in classes at: Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).
Author | : Gary Haggard |
Publisher | : Cengage Learning |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Computers |
ISBN | : 9780534495015 |
Download Discrete Mathematics for Computer Science Book in PDF, ePub and Kindle
Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.
Author | : Bernard Kolman |
Publisher | : Prentice Hall |
Total Pages | : 488 |
Release | : 1987 |
Genre | : Computer science |
ISBN | : |
Download Discrete Mathematical Structures for Computer Science Book in PDF, ePub and Kindle
This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.
Author | : Gordon J. Pace |
Publisher | : Springer Science & Business Media |
Total Pages | : 302 |
Release | : 2012-07-09 |
Genre | : Computers |
ISBN | : 3642298397 |
Download Mathematics of Discrete Structures for Computer Science Book in PDF, ePub and Kindle
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.