Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications PDF Author: Kenneth H. Rosen
Publisher:
ISBN: 9780071244749
Category : Computer science
Languages : en
Pages : 109

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Book Description
The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications PDF Author: Kenneth H. Rosen
Publisher:
ISBN: 9780071244749
Category : Computer science
Languages : en
Pages : 109

Get Book Here

Book Description
The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Topologies on Closed and Closed Convex Sets

Topologies on Closed and Closed Convex Sets PDF Author: Gerald Beer
Publisher: Springer Science & Business Media
ISBN: 9780792325314
Category : Mathematics
Languages : en
Pages : 360

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Book Description
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text. This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.

Topics in Structural Graph Theory

Topics in Structural Graph Theory PDF Author: Lowell W. Beineke
Publisher: Cambridge University Press
ISBN: 1107244307
Category : Mathematics
Languages : en
Pages : 346

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Book Description
The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Relational Mathematics

Relational Mathematics PDF Author: Gunther Schmidt
Publisher: Cambridge University Press
ISBN: 0521762685
Category : Computers
Languages : en
Pages : 582

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Book Description
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

Discrete Mathematics with Applications, Metric Edition

Discrete Mathematics with Applications, Metric Edition PDF Author: Susanna Epp
Publisher:
ISBN: 9780357114087
Category :
Languages : en
Pages : 984

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Book Description
DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Mal'cev, Protomodular, Homological and Semi-Abelian Categories

Mal'cev, Protomodular, Homological and Semi-Abelian Categories PDF Author: Francis Borceux
Publisher: Springer Science & Business Media
ISBN: 9781402019616
Category : Mathematics
Languages : en
Pages : 504

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Book Description
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.

Augmented Lagrangian Methods

Augmented Lagrangian Methods PDF Author: M. Fortin
Publisher: Elsevier
ISBN: 9780080875361
Category : Mathematics
Languages : en
Pages : 339

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Book Description
The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications PDF Author: Kenneth H. Rosen
Publisher: McGraw-Hill
ISBN: 9781259676512
Category : Computer science
Languages : en
Pages : 0

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Book Description
A precise, relevant, comprehensive approach to mathematical concepts...

Three-Dimensional Elasticity

Three-Dimensional Elasticity PDF Author: Philippe G. Ciarlet
Publisher: Elsevier
ISBN: 9780444817761
Category : Mathematics
Languages : en
Pages : 500

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Book Description
This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Discrete Mathematics with Applications

Discrete Mathematics with Applications PDF Author: Thomas Koshy
Publisher: Elsevier
ISBN: 0080477348
Category : Mathematics
Languages : en
Pages : 1079

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Book Description
This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations* Weaves numerous applications into the text* Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects* Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises* Features interesting anecdotes and biographies of 60 mathematicians and computer scientists* Instructor's Manual available for adopters* Student Solutions Manual available separately for purchase (ISBN: 0124211828)