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Clear, lively style covers all basics of theory and application, including mathematical models, elementary concepts of graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, graphs and social psychology, planar graphs and coloring problems, and graphs and other mathematics.
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Presented in 1962–63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts, this volume is not a text on the subject but rather an introduction to the extensive literature of graph theory. The seminar's topics are geared toward advanced undergraduate students of mathematics. Lectures by this volume's editor, Frank Harary,...
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"One of Choice's Outstanding Academic Titles for 2015" Arthur Benjamin is professor of mathematics at Harvey Mudd College. Gary Chartrand is professor emeritus of mathematics at Western Michigan University. Ping Zhang is professor of mathematics at Western Michigan University.
The history, formulas, and most famous puzzles of graph theory
Graph theory goes back several centuries and revolves around the study of graphs-mathematical structures showing...
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Tournaments, in this context, are directed graphs ― an important and interesting topic in graph theory. This concise volume collects a substantial amount of information on tournaments from throughout the mathematical literature. Suitable for advanced undergraduate students of mathematics, the straightforward treatment requires a basic familiarity with finite mathematics. The fundamental definitions and results appear in the earlier sections, and...
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A stimulating view of mathematics that appeals to students as well as teachers, this undergraduate-level text is written in an informal style that does not sacrifice depth or challenge. Based on 20 years of teaching by the leading researcher in graph theory, it offers a solid foundation on the subject. This revised and augmented edition features new exercises, simplifications, and other improvements suggested by classroom users and reviewers. Topics...
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This book presents a new concept: infobody.
It contains four chapters:
Chapter 1: Infobody Overview
This chapter talks about the new concept-infobody and all related concepts and definitions. It also gives a summary for each following chapter and potential applications and research topics.
Chapter 2: Infobody Charting
This chapter talks about infobody charting with detailed steps and illustrations. Infobody charting...
8) Big Data: How Data Analytics Is Transforming the World: Degrees of Separation and Social Networks
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Test the popular theory that six steps, at most, connect you to any person on the planet. Social networks like Facebook provide a wealth of data for quantifying our relative connectedness. See how graph theory helps you to visualize any linked phenomena.
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John J. Watkins is professor emeritus of mathematics at Colorado College. An award-winning teacher, he is the author of Topics in Commutative Ring Theory (Princeton) and coauthor of Graphs: An Introductory Approach.
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics...
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This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of...
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Nonnegative matrices is an increasingly important subject in economics, control theory, numerical analysis, Markov chains, and other areas. This concise treatment is directed toward undergraduates who lack specialized knowledge at the postgraduate level of mathematics and related fields, such as mathematical economics and operations research.
An Introductory Survey encompasses some aspects of matrix theory and its applications and other relevant...
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A theft and a hold-up, an impostor trying to collect an inheritance, the disappearance of a lab mouse worth several hundred thousand dollars, and a number of other cases : these are the investigations led by Maurice Manori, a police inspector known for being quick on the draw. He owes his reputation to his highly effective (but very unconventional ) methods. His secret weapon ? Graph theory. In search of the truth, Inspector Manori draws graphs that...
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Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics - problems, puzzles and games - to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving...
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The Problem Solvers are an exceptional series of books that are thorough, unusually well-organized, and structured in such a way that they can be used with any text. No other series of study and solution guides has come close to the Problem Solvers in usefulness, quality, and effectiveness. Educators consider the Problem Solvers the most effective series of study aids on the market. Students regard them as most helpful for their school work and studies....
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This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with...
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Quick solutions to frequently asked algorithm and data structure questions.
KEY FEATURES
● Learn how to crack the Data structure and Algorithms Code test using the top 75 questions/solutions discussed in the book.
● Refresher on Python data structures and writing clean, actionable python codes.
● Simplified solutions on translating business problems into executable programs and applications.
DESCRIPTION Python is the most popular programming...
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Description
Mehran Mesbahi is associate professor of aeronautics and astronautics at the University of Washington. Magnus Egerstedt is associate professor of electrical and computer engineering at Georgia Institute of Technology.
This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed...
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Robin Wilson is emeritus professor of pure mathematics at the Open University and emeritus professor of geometry at Gresham College, London. He has written and edited many books on topics ranging from graph theory and combinatorics, via sudoku, philately, and the Gilbert and Sullivan operas, to the history of mathematics. He is currently president of the British Society for the History of Mathematics.
On October 23, 1852, Professor Augustus De Morgan...
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"The Economics Bible is an accessible, comprehensive and fully illustrated introduction to the models and mechanics that drive the world of money. The economic theories that have shaped nations for centuries and influence the way we live now become clear. From Keynesian models developed during the Depression to how inflation occurs and its effect on interest rates, The Economics Bible makes global finance easily understood. Subjects covered include:...
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"Can reading a book make you more rational? Can it explain why there seems to be so much irrationality in the world, including, let's be honest, in each of us? These are the goals of Steven Pinker's follow-up to Enlightenment Now (Bill Gates's "new favorite book of all time"). Humans today are often portrayed as cavemen out of time, poised to react to a lion in the grass with a suite of biases, blind spots, fallacies, and illusions. But this, Pinker...
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