Combinatorial Mathematics and Its Applications
| Author | : Raj Chandra Bose |
| Publisher | : |
| Total Pages | : 632 |
| Release | : 1969 |
| Genre | : Combinatorial analysis |
| ISBN | : |
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Mathematics And Its Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematics And Its Applications PDF full book. Access full book title Mathematics And Its Applications.
Discrete Mathematics and Its Applications
| Author | : Kenneth H. Rosen |
| Publisher | : |
| Total Pages | : 109 |
| Release | : 2007 |
| Genre | : Computer science |
| ISBN | : 9780071244749 |
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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 with Applications, Metric Edition
| Author | : Susanna Epp |
| Publisher | : |
| Total Pages | : 984 |
| Release | : 2019 |
| Genre | : |
| ISBN | : 9780357114087 |
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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.
Topologies on Closed and Closed Convex Sets
| Author | : Gerald Beer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 360 |
| Release | : 1993-10-31 |
| Genre | : Mathematics |
| ISBN | : 9780792325314 |
Download Topologies on Closed and Closed Convex Sets Book in PDF, ePub and Kindle
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.
Relational Mathematics
| Author | : Gunther Schmidt |
| Publisher | : Cambridge University Press |
| Total Pages | : 582 |
| Release | : 2011 |
| Genre | : Computers |
| ISBN | : 0521762685 |
Download Relational Mathematics Book in PDF, ePub and Kindle
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.
Mal'cev, Protomodular, Homological and Semi-Abelian Categories
| Author | : Francis Borceux |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 504 |
| Release | : 2004-02-29 |
| Genre | : Mathematics |
| ISBN | : 9781402019616 |
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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
| Author | : M. Fortin |
| Publisher | : Elsevier |
| Total Pages | : 361 |
| Release | : 2000-04-01 |
| Genre | : Mathematics |
| ISBN | : 008087536X |
Download Augmented Lagrangian Methods Book in PDF, ePub and Kindle
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 with Applications
| Author | : Thomas Koshy |
| Publisher | : Elsevier |
| Total Pages | : 1079 |
| Release | : 2004-01-19 |
| Genre | : Mathematics |
| ISBN | : 0080477348 |
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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)
Symmetry and Separation of Variables
| Author | : Willard Miller |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2012-03-29 |
| Genre | : Mathematics |
| ISBN | : 9780521177399 |
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Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.
Non-Euclidean Geometries
| Author | : András Prékopa |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2006-06-03 |
| Genre | : Mathematics |
| ISBN | : 0387295550 |
Download Non-Euclidean Geometries Book in PDF, ePub and Kindle
"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.
