Discrete Mathematics With Graph Theory PDF Download
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| Author | : K. Erciyes |
| Publisher | : Springer Nature |
| Total Pages | : 345 |
| Release | : 2021-01-28 |
| Genre | : Computers |
| ISBN | : 3030611159 |
Download Discrete Mathematics and Graph Theory Book in PDF, ePub and Kindle
This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
| Author | : Oscar Levin |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 238 |
| Release | : 2018-07-30 |
| Genre | : |
| ISBN | : 9781724572639 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
| Author | : Edgar Goodaire |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2017-03-20 |
| Genre | : Computer science |
| ISBN | : 9780134689555 |
Download Discrete Mathematics with Graph Theory (Classic Version) Book in PDF, ePub and Kindle
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Far more "user friendly" than the vast majority of similar books, this text is truly written with the "beginning" reader in mind. The pace is tight, the style is light, and the text emphasizes theorem proving throughout. The authors emphasize "Active Reading," a skill vital to success in learning how to think mathematically (and write clean, error-free programs).
| Author | : Richard J. Trudeau |
| Publisher | : Courier Corporation |
| Total Pages | : 242 |
| Release | : 2013-04-15 |
| Genre | : Mathematics |
| ISBN | : 0486318664 |
Download Introduction to Graph Theory Book in PDF, ePub and Kindle
Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
| Author | : Sriram Pemmaraju |
| Publisher | : Cambridge University Press |
| Total Pages | : 615 |
| Release | : 2009-10-15 |
| Genre | : Computers |
| ISBN | : 1107268710 |
Download Computational Discrete Mathematics Book in PDF, ePub and Kindle
This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.
| Author | : Jonathan L. Gross |
| Publisher | : CRC Press |
| Total Pages | : 1200 |
| Release | : 2003-12-29 |
| Genre | : Computers |
| ISBN | : 9780203490204 |
Download Handbook of Graph Theory Book in PDF, ePub and Kindle
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
| Author | : John Harris |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2009-04-03 |
| Genre | : Mathematics |
| ISBN | : 0387797114 |
Download Combinatorics and Graph Theory Book in PDF, ePub and Kindle
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
| Author | : Steven Skiena |
| Publisher | : Addison-Wesley Longman |
| Total Pages | : 344 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 9780201694673 |
Download Implementing Discrete Mathematics Book in PDF, ePub and Kindle
This book concentrates on two distinct areas in discrete mathematics. The first section deals with combinatorics, loosely defined as the study of counting. We provide functions for generating combinatorial objects such as permutations, partitions, and Young tableaux, as well as for studying various aspects of these structures.The second section considers graph theory, which can be defined equally loosely as the study of binary relations. We consider a wide variety of graphs, provide functions to create them, and functions to show what special properties they have, Although graphs are combinatorial structures, understanding them requires pictures or embeddings. Thus we provide functions to create a variety of graph embeddings, so the same structure can be viewed in several different ways. Algorithmic graph theory is an important interface between mathematics and computer science, and so we study a variety of polynominal and exponential time problems.
| Author | : Gary Chartrand |
| Publisher | : CRC Press |
| Total Pages | : 503 |
| Release | : 2019-11-28 |
| Genre | : Mathematics |
| ISBN | : 0429798288 |
Download Chromatic Graph Theory Book in PDF, ePub and Kindle
With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition
| Author | : Martin Aigner |
| Publisher | : American Mathematical Society |
| Total Pages | : 402 |
| Release | : 2023-01-24 |
| Genre | : Mathematics |
| ISBN | : 1470470632 |
Download Discrete Mathematics Book in PDF, ePub and Kindle
The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints and solutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition… This book is a well-written introduction to discrete mathematics and is highly recommended to every student of mathematics and computer science as well as to teachers of these topics. —Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of the MAA for expository writing, and his book Proofs from the BOOK with Günter M. Ziegler has been an international success with translations into 12 languages.
