**Author**: Richard J. Trudeau

**Publisher:** Courier Corporation

**ISBN:** 0486318664

**Category:** Mathematics

**Page:** 224

**View:** 7089

Skip to content
# Free eBooks PDF

## Introduction to Graph Theory

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.
## A First Course in Graph Theory

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.
## Introduction to Combinatorial Analysis

Introductory text surveys the theory of permutations and combinations associated with elementary algebra; the principle of inclusion and exclusion; and the theory of distributions and partitions in cyclic representation. Includes problems. 1958 edition.
## Pearls in Graph Theory

Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
## Graph Theory with Applications to Engineering and Computer Science

Outstanding introductory treatment, geared toward advanced undergraduates and graduate students who require knowledge of graph theory. The first nine chapters constitute an excellent overview; the remaining chapters are more advanced and provide material for a variety of courses. 1974 edition.
## Introduction to the Theory of Sets

This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
## Graph Theory and Its Applications, Second Edition

Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
## An Introduction to Information Theory

Covers encoding and binary digits, entropy, language and meaning, efficient encoding and the noisy channel, and explores ways in which information theory relates to physics, cybernetics, psychology, and art. 1980 edition.
## Introductory Graph Theory

Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.
## Introductory Discrete Mathematics

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.
## Introduction to Topology

Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.
## Introduction to Topology

This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
## Introduction to Field Theory

Acclaimed by American Mathematical Monthly as "an excellent introduction,"this treatment ranges from basic definitions to important results and applications, introducing both the spirit and techniques of abstract algebra. It develops the elementary properties of rings and fields, explores extension fields and Galois theory, and examines numerous applications. 1982 edition.
## An Introduction to Information Theory

Graduate-level study for engineering students presents elements of modern probability theory, information theory, coding theory, more. Emphasis on sample space, random variables, capacity, etc. Many reference tables and extensive bibliography. 1961 edition.
## An Introduction to Algebraic Structures

This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
## Graph Theory and Complex Networks

This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.
## Introduction to Artificial Intelligence

Comprehensive survey of artificial intelligence — the study of how computers can be made to act intelligently. Includes introductory and advanced material. Extensive notes updating the main text. 132 illustrations.
## Graph Theory As I Have Known It

Graph Theory as I Have Known It provides a unique introduction to graph theory by one of the founding fathers, and will appeal to anyone interested in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as combinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided. William Tutte (1917-2002) studied at Cambridge where his fascination for mathematical puzzles brought him into contact with like-minded undergraduates, together becoming known as the 'Trinity four', the founders of modern graph theory. His notable problem-solving skills meant he was brought to Bletchley Park during World War Two. Key in the enemy codebreaking efforts, he cracked the Lorenz cipher for which the Colossus machine was built, making his contribution comparable to Alan Turing's codebreaking for Enigma. Following his incredible war effort Tutte returned to academia and became a fellow of the Royal Society in Britain and Canada, finishing his career as Distinguished Professor Emeritus at the University of Waterloo, Ontario.
## Combinatorics and Graph Theory

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.
## Introduction to Graph Theory

In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson’s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians. The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.

Just another PDF Download site

Mathematics

**Author**: Richard J. Trudeau

**Publisher:** Courier Corporation

**ISBN:** 0486318664

**Category:** Mathematics

**Page:** 224

**View:** 7089

Mathematics

**Author**: Gary Chartrand,Ping Zhang

**Publisher:** Courier Corporation

**ISBN:** 0486297306

**Category:** Mathematics

**Page:** 464

**View:** 3492

Mathematics

**Author**: John Riordan

**Publisher:** Courier Corporation

**ISBN:** 0486154408

**Category:** Mathematics

**Page:** 256

**View:** 6437

Mathematics

*A Comprehensive Introduction*

**Author**: Nora Hartsfield,Gerhard Ringel

**Publisher:** Courier Corporation

**ISBN:** 0486315525

**Category:** Mathematics

**Page:** 272

**View:** 2705

Mathematics

**Author**: Narsingh Deo

**Publisher:** Courier Dover Publications

**ISBN:** 0486820815

**Category:** Mathematics

**Page:** 496

**View:** 4748

Mathematics

**Author**: Joseph Breuer

**Publisher:** Courier Corporation

**ISBN:** 0486154874

**Category:** Mathematics

**Page:** 128

**View:** 1168

Mathematics

**Author**: Jonathan L. Gross,Jay Yellen

**Publisher:** CRC Press

**ISBN:** 158488505X

**Category:** Mathematics

**Page:** 800

**View:** 3202

Computers

*Symbols, Signals and Noise*

**Author**: John R. Pierce

**Publisher:** Courier Corporation

**ISBN:** 0486134970

**Category:** Computers

**Page:** 336

**View:** 5432

Science

**Author**: Gary Chartrand

**Publisher:** Courier Corporation

**ISBN:** 0486134946

**Category:** Science

**Page:** 320

**View:** 1482

Mathematics

**Author**: V. K . Balakrishnan

**Publisher:** Courier Corporation

**ISBN:** 0486140385

**Category:** Mathematics

**Page:** 256

**View:** 713

Mathematics

*Third Edition*

**Author**: Bert Mendelson

**Publisher:** Courier Corporation

**ISBN:** 0486135098

**Category:** Mathematics

**Page:** 224

**View:** 6255

Mathematics

*Second Edition*

**Author**: Theodore W. Gamelin,Robert Everist Greene

**Publisher:** Courier Corporation

**ISBN:** 0486320189

**Category:** Mathematics

**Page:** 256

**View:** 2517

Mathematics

**Author**: Iain T. Adamson

**Publisher:** Courier Corporation

**ISBN:** 0486462668

**Category:** Mathematics

**Page:** 181

**View:** 3005

Mathematics

**Author**: Fazlollah M. Reza

**Publisher:** Courier Corporation

**ISBN:** 0486158446

**Category:** Mathematics

**Page:** 528

**View:** 3629

Mathematics

**Author**: Joseph Landin

**Publisher:** Courier Corporation

**ISBN:** 0486150410

**Category:** Mathematics

**Page:** 272

**View:** 5126

Graph theory

*An Introduction*

**Author**: Maarten van Steen

**Publisher:** Maarten Van Steen

**ISBN:** 9789081540612

**Category:** Graph theory

**Page:** 285

**View:** 3786

Science

*Second, Enlarged Edition*

**Author**: Philip C. Jackson

**Publisher:** Courier Corporation

**ISBN:** 0486152723

**Category:** Science

**Page:** 512

**View:** 1119

Mathematics

**Author**: W. T. Tutte

**Publisher:** OUP Oxford

**ISBN:** 0191637785

**Category:** Mathematics

**Page:** 164

**View:** 1185

Mathematics

**Author**: John Harris,Jeffry L. Hirst,Michael Mossinghoff

**Publisher:** Springer Science & Business Media

**ISBN:** 0387797114

**Category:** Mathematics

**Page:** 381

**View:** 4638

Mathematics

**Author**: Robin J. Wilson

**Publisher:** Pearson Higher Ed

**ISBN:** 1292122552

**Category:** Mathematics

**Page:** 192

**View:** 6540