Applied Discrete Structures Part 1
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Applied Discrete Structures Part 2 Algebraic Structures
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Author : Ken Levasseur
language : en
Publisher: Lulu.com
Release Date : 2017-05-15
Applied Discrete Structures Part 2 Algebraic Structures written by Ken Levasseur and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-15 with Computers categories.
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 Part 1
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Author : Ken Levasseur
language : en
Publisher:
Release Date : 2017-05-02
Applied Discrete Structures Part 1 written by Ken Levasseur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-02 with Science categories.
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
Applied Discrete Structures
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Author : K. D. Joshi
language : en
Publisher: New Age International
Release Date : 1997
Applied Discrete Structures written by K. D. Joshi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computer science categories.
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.
Applied Discrete Structures
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Author : Ken Levasseur
language : en
Publisher: Lulu.com
Release Date : 2012-02-25
Applied Discrete Structures written by Ken Levasseur and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-25 with Computers categories.
''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 topcs 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 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. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--
Progress In Pure And Applied Discrete Mathematics Vol 1 Probabilistic Methods In Discrete Mathematics
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Author : V.F. Kolchin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Progress In Pure And Applied Discrete Mathematics Vol 1 Probabilistic Methods In Discrete Mathematics written by V.F. Kolchin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics".
Advances In Interdisciplinary Applied Discrete Mathematics
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Author : Hemanshu Kaul
language : en
Publisher: World Scientific
Release Date : 2010-12-09
Advances In Interdisciplinary Applied Discrete Mathematics written by Hemanshu Kaul and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-09 with Mathematics categories.
In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques can be applied in diverse applications.This book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications. Featuring survey articles written by experts in these fields, the articles emphasize the interconnectedness of the mathematical models and techniques used in various areas, and elucidate the possibilities for future interdisciplinary research. Additionally, this book discusses recent advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.
Proofs In Competition Math Volume 2
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Author : Alexander Toller
language : en
Publisher: Lulu.com
Release Date : 2019-07-10
Proofs In Competition Math Volume 2 written by Alexander Toller and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-10 with Education categories.
All too often, through common school mathematics, students find themselves excelling in school math classes by memorizing formulas, but not their applications or the motivation behind them. As a consequence, understanding derived in this manner is tragically based on little or no proof. This is why studying proofs is paramount! Proofs help us understand the nature of mathematics and show us the key to appreciating its elegance. But even getting past the concern of "why should this be true?" students often face the question of "when will I ever need this in life?" Proofs in Competition Math aims to remedy these issues at a wide range of levels, from the fundamentals of competition math all the way to the Olympiad level and beyond. Don't worry if you don't know all of the math in this book; there will be prerequisites for each skill level, giving you a better idea of your current strengths and weaknesses and allowing you to set realistic goals as a math student. So, mathematical minds, we set you off!
A Course In Discrete Mathematical Structures
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Author : Lekh Rej Vermani
language : en
Publisher: World Scientific
Release Date : 2012-01-13
A Course In Discrete Mathematical Structures written by Lekh Rej Vermani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Mathematics categories.
This book provides a broad introduction to some of the most fascinating and beautiful areas of discrete mathematical structures. It starts with a chapter on sets and goes on to provide examples in logic, applications of the principle of inclusion and exclusion and finally the pigeonhole principal. Computational techniques including the principle of mathematical introduction are provided, as well as a study on elementary properties of graphs, trees and lattices. Some basic results on groups, rings, fields and vector spaces are also given, the treatment of which is intentionally simple since such results are fundamental as a foundation for students of discrete mathematics. In addition, some results on solutions of systems of linear equations are discussed./a
Rigidity Theory And Applications
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Author : M.F. Thorpe
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Rigidity Theory And Applications written by M.F. Thorpe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Computers categories.
Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
Discrete Mathematics Proof Techniques And Mathematical Structures
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Author : Robert Clark Penner
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-10-19
Discrete Mathematics Proof Techniques And Mathematical Structures written by Robert Clark Penner and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-19 with Mathematics categories.
This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.