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Features an explanation of modern graph theory. This title presents graph theory from an algorithmic point of view, allowing for a variety of technical applications. It includes useful programming techniques to solve graph theory problems, and applicable data structures to show h...ow algorithms can be programmed.
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A symbol of the Divine, a good luck charm, a cosmogram of the world order, a template for fengshui - through the ages, the luoshu, or magic square of order three, has fascinated people of many different cultures. This book uncovers the history of the luoshu, from its Chinese orig...ins, shrouded in legend.
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A cutting edge graduate level book on the way the mathematical analytics of big data can add value and bring competitive advantage to consumer-facing industries.
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This book is a compilation of the papers presented at the conference in Winnipeg on the subject of finite geometry in 1984. It covers different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation ...planes.
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Finite configurations of geometric primitives under local metric and algebraic constraints arise in many situations in mathematics as well as in engineering and science applications. The former situations result in multiple perspectives, tools and techniques from algebraic geomet...ry and topology; from combinatorics; from finite metric spaces, asymptotic geometry and convex analysis; and from complexity. The latter situations give rise to fresh new problems and directions.
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This book introduces the vast wealth of mathematical concepts and methods on which the Internet depends. It illustrates mathematical and algorithmic methods with examples from various fields to show the universality of the concepts presented. The authors provide complete discussi...ons of sequences, exponential growth, algorithms and complexity, randomness, graphs and networks, search engines, parallel and distributed computation, and cryptography. They also address cutting-edge topics, such as game theory, and include a short encyclopedic dictionary of terms related to the Internet.
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Network theory is a major topic of interdisciplinary research which covers diverse areas including physics, mathematics and sociology. This book covers all the basics and the most commonly used concepts in the field, provides examples of their applications in solving practical pr...oblems, and clear indications on how to analyse their results.
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Features Graph Theory that takes you straight to the heart of graphs. As you study along at your own pace, this study guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full s...olutions.
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The authors present the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and algebra knowledge supporting public-key cr...yptography. --
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Offers an introduction to the areas of design theory as well as to more contemporary designs based on applications in a variety of fields. This work also introduces balanced designs and finite geometries. It then delves into balanced incomplete block designs, covering difference ...methods, residual and derived designs, and resolvability.
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