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Author : V. K . Balakrishnan
ISBN : 9780486140384
Genre : Mathematics
File Size : 29.91 MB
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This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Author : Christopher Rhoades
ISBN : 1682854922
Genre : Mathematics
File Size : 63.97 MB
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Discrete mathematics is defined as the study of mathematical structures which are not continuous. This includes integers, statements in logic, graphs, etc. The most important concepts studied under this subject are number theory, logic, probability, graph theory, algebra, set theory, information theory, combinatorics, geometry, game theory, topology, etc. This book provides comprehensive insights into the field of discrete mathematics. It aims to shed light on some of the unexplored aspects of the area. Different approaches, evaluations and methodologies have been included in the text. This book is an essential guide for both academicians and those who wish to pursue this discipline further.

Author : Archivo General de la Nación (Argentina)
ISBN : LCCN:43006469
Genre : Argentina
File Size : 50.39 MB
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Author : James L. Hein
ISBN : 0763722103
Genre : Computers
File Size : 26.7 MB
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Hein (Portland State U.) offers an introductory textbook that aims to give the reader a holistic understanding of discrete mathematics and computer science, through careful illustration of relationships between key concepts. Focusing on computation and the construction of objects, the text is organi

Author : Martin Loebl
ISBN : 9783834893291
Genre : Science
File Size : 65.79 MB
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The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.

Author : Jeffrey T. Barton
ISBN : 9781119039754
Genre : Mathematics
File Size : 34.19 MB
Format : PDF
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Features an authentic and engaging approach to mathematical modeling driven by real-world applications With a focus on mathematical models based on real and current data, Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel® guides readers in the solution of relevant, practical problems by introducing both mathematical and Excel techniques. The book begins with a step-by-step introduction to discrete dynamical systems, which are mathematical models that describe how a quantity changes from one point in time to the next. Readers are taken through the process, language, and notation required for the construction of such models as well as their implementation in Excel. The book examines single-compartment models in contexts such as population growth, personal finance, and body weight and provides an introduction to more advanced, multi-compartment models via applications in many areas, including military combat, infectious disease epidemics, and ranking methods. Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel® also features: A modular organization that, after the first chapter, allows readers to explore chapters in any order Numerous practical examples and exercises that enable readers to personalize the presented models by using their own data Carefully selected real-world applications that motivate the mathematical material such as predicting blood alcohol concentration, ranking sports teams, and tracking credit card debt References throughout the book to disciplinary research on which the presented models and model parameters are based in order to provide authenticity and resources for further study Relevant Excel concepts with step-by-step guidance, including screenshots to help readers better understand the presented material Both mathematical and graphical techniques for understanding concepts such as equilibrium values, fixed points, disease endemicity, maximum sustainable yield, and a drug’s therapeutic window A companion website that includes the referenced Excel spreadsheets, select solutions to homework problems, and an instructor’s manual with solutions to all homework problems, project ideas, and a test bank The book is ideal for undergraduate non-mathematics majors enrolled in mathematics or quantitative reasoning courses such as introductory mathematical modeling, applications of mathematics, survey of mathematics, discrete mathematical modeling, and mathematics for liberal arts. The book is also an appropriate supplement and project source for honors and/or independent study courses in mathematical modeling and mathematical biology. Jeffrey T. Barton, PhD, is Professor of Mathematics in the Mathematics Department at Birmingham-Southern College. A member of the American Mathematical Society and Mathematical Association of America, his mathematical interests include approximation theory, analytic number theory, mathematical biology, mathematical modeling, and the history of mathematics.

Author : Tom Jenkyns
ISBN : 9781447140696
Genre : Computers
File Size : 83.27 MB
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This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.

Author : Robin J. Wilson
ISBN : UOM:39015019005720
Genre : Mathematics
File Size : 56.34 MB
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The only text available on graph theory at the freshman/sophomore level, it covers properties of graphs, presents numerous algorithms, and describes actual applications to chemistry, genetics, music, linguistics, control theory and the social sciences. Illustrated.