Book Description

Ignacio Bello's one-of-a-kind learning system approach is used to introduce, explain, and reinforce mathematical concepts and techniques. Chapter material is broken down and labeled by learning objective; sub-sections, examples, exercises, and test problems supporting each objective are correspondingly labeled to tie appropriate material together. Fifteen types of learning features and exercises explain concepts, apply material, and relate math to students' lives. Bello combines all of these elements into a careful organization and structure that forms a dynamic learning program.

Extensive features, ranging form the innovative to the traditional, apply the material and show the relevance of math to students' lives. Real-world examples that are fun and easy for students to relate to are used throughout. ... Read more

Book Description

This volume provides in-depth coverage of selected areas of graph theory, with a main focus on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialized topics are tackled--such as graphical regular representations and pseudosimilarity. The final four chapters are devoted to the reconstruction problem; special emphasis is given to those results that involve the symmetry of graphs. Students who master the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem. ... Read more

Book Description

The main focus of this book is on the development of the theory of Graph Directed Markov Systems.This far-reaching generalization of the theory of conformal iterated systems can be applied in many situations, including the theory of dynamical systems. Dan Mauldin and Mariusz Urbanski include much of the necessary background material to increase the appeal of this book to graduate students as well as researchers. They also include an extensive list of references for further reading. ... Read more

Book Description

This book provides the most basic problems, concepts, and well-established results from the topological structure and analysis of interconnection networks in the graph-theoretic language. It covers the basic principles and methods of network design, several well-known networks such as hypercubes, de Bruijn digraphs, Kautz digraphs, double loop, and other networks, and the newest parameters to measure performance of fault-tolerant networks such as Menger number, Rabin number, fault-tolerant diameter, wide-diameter, restricted connectivity, and (l,w)-dominating number.Audience: The book is suitable for those readers who are working on or intend to start research in design analysis of the topological structure of interconnection networks, particularly undergraduates and postgraduates specializing in computer science and applied mathematics. ... Read more

Book Description

Designed for use with graphics calculators, this text successfully combines traditional college algebra topics with the TI-81/TI-82T graphing calculators. With the graphing calculator, students are able to check work quickly and visualize processes such as equation solving and function generation. Introductory chapter teaches students how to use the graphing calculator. The Graphics Calculator Supplement contains explanations for the TI-85T, Casior fx-7700GT, Sharpr EL9200T/9300T and the HP-48GT. ... Read more

Book Description

Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem.GRAPH THEORY AND COMBINATORIAL OPTIMIZATION explores the field's classical foundations and its developing theories, ideas and applications to new problems. Belhaiza et al (Chapter 1) study several conjectures on the algebraic connecticity of graphs. Brass and Pach (Chapter 2) survey the results in the theory of geometric patterns. Fukuda and Rosta (Chapter 3) discuss various data depth measures that were first introduced in nonparametric statistics. Hertz and Lozin (Chapter 4) examine the method of augmenting graphs for solving the maximum independent set problem. Krishnan and Terlaky (Chapter 5) present a survey of semidefinite and interior point methods for solving NP-hard combinatorial optimization problems to optimality and designing approximation algorithms for some of these problems. Kubiak (Chapter 6) presents a study of balancing mixed-model supply chains. Marcotte and Savard (chapter 7) outline and overview two classes of bilevel programs. Shepherd and Vetta (Chapter 8) present a study of disjoins, and de Werra (Chapter 9) generalizes a coloring property of unimodular hypergraphs. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise. ... Read more

Book Description

Understanding Intermediate Algebra: A Graphing Approach takes the successful Hirsch/Goodman series into the technology arena. Graphing technology is used as a tool to help promote understanding of concepts or to relieve the tedium of manual calculations. Graphing technology allows students to approach problems from three complimentary perspectives: the algebraic, the numerical, and the graphical (geometric). ... Read more

Book Description

College Algebra: Concepts and Models was the first college algebra text to be developed specifically for students who may not be proceeding on to calculus or upper-level math courses, but who need a solid understanding of algebra for their social sciences and liberal arts majors. It encourages student understanding of algebra through the use of modeling techniques and real-data applications. Optional use of technology is carefully integrated throughout the text.

• A text-specific web site offers instructor and student resources, including chapter-by-chapter online tutorials for the student. Also available on the web site are the Programs appendix and Career Interviews section.
• Chapter Openers and Chapter Projects have been updated to reflect current topics and data.
• Section Openers now include a set of learning objectives for each section.
• Real Data Application examples have been updated or replaced with new applications.
• Technology Boxes have been revised to remove references to specific programs or calculator models.
• Exercise Sets include additional and updated skill exercises and applications.
• Chapter Summaries have been rewritten to link the section objectives to the Review Exercises.

Book Description

This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on Theory and Applications of Graph Transformations held in Paderborn, Germany, in November 1998. The 33 revised full papers presented in the book were carefully reviewed and selected from a total of 55 papers presented at the meeting. The book addresses all current aspects in the area. The papers are organized in sections on graph languages, graph theory, categorical approaches, concurrency and distribution, artificial intelligence, visual languages, specification concepts, modularity and refinement, and software engineering. ... Read more

Book Description

The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century, however this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an
interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry.

Mathematica provides an attractive environment for studying analytic geometry. Mathematica supports both numeric and symbolic computations meaning that geometry problems can be solved for special cases using numbers, as well as general cases producing formulas. Mathematica also has good facilities for producing graphical plots which are useful for visualizing the graphs of two-dimensional geometry.

* A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced
* Excellent theoretical presentation
*Fully explained examples of all key concepts
*Interactive Mathematica notebooks for the entire book
* Provides a complete computer-based environment for study of analytic geometry
* All chapters and reference material are provided on CD-ROM in addition to being printed in the book
* Complete software system: Descarta2D
* A software system, including source code, for the underlying computer implementation, called Descarta2D is provided
* Part VII of the book is a listing of the (30) Mathematica files supporting Descarta2D; the source code is also supplied on CD-ROM
* Explorations
* More than 120 challenging problems in analytic geometry are posed;Complete solutions are provided both as interactive Mathematica notebooks on CD-ROM and as printed material in the book
* Mathematica and Descarta2D Hints expand the reader's knowledge and understanding of Descarta2D and Mathematica
* Sortware developed with Mathematica 3.0 and is compatible with Mathematica 4.0
* Detailed reference manual
* Complete documentation for Descarta2D
* Fully integrated into the Mathematica Help Browser ... Read more

Book Description

An Atlas Of Edge-Reversal Dynamics is the first in-depth account of the graph dynamics system SER (Scheduling by Edge Reversal), a powerful distributed mechanism for scheduling agents in a computer system. The study of SER draws on strong motivation from several areas of application, and reveals very clearly the emergence of complex dynamic behavior from very simple transition rules. As such, SER provides the opportunity for the study of complex graph dynamics that can be applied to computer science, optimization, artificial intelligence, networks of automata, and other complex systems.In Part 1: Edge-Reversal Dynamics, the author discusses the main applications and properties of SER, provides data from statistics and correlations computed over several graph classes, and gives an overview of the algorithmic aspects of the construction of the catalogue, thus summarizing the methodology and findings of the cataloguing effort. Part 2: The Atlas, comprises the atlas proper-a catalogue of graphical representations of all basins of attraction generated by the SER mechanism for all graphs in selected classes. An Atlas Of Edge-Reversal Dynamics is a unique and detailed treatment of SER. Along with the catalogue, discussions of SER in the contexts of resource-sharing and automaton networks and a comprehensive set of references make this an important resource for researchers and graduate students in graph theory, discrete mathematics, and complex systems. ... Read more