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Introductory Graph Theory


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Цена: 1328р.
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Автор: Chartrand, Gary
Название:  Introductory Graph Theory
Издательство: Dover
Классификация:
Прикладная математика

ISBN: 0486247759
ISBN-13(EAN): 9780486247755
ISBN: 0-486-24775-9
ISBN-13(EAN): 978-0-486-24775-5
Обложка/Формат: Paperback
Страницы: 320
Вес: 0.332 кг.
Дата издания: 01.08.1985
Серия: Dover books on mathematics
Язык: ENG
Издание: Abridged ed
Иллюстрации: Illustrations
Размер: 21.54 x 13.82 x 1.57 cm
Читательская аудитория: General (us: trade)
Рейтинг:
Поставляется из: США
Описание:

Graph theory is used today in the physical sciences, social sciences, computer science, and other areas. Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style.
Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics.
Ten major topics -- profusely illustrated -- include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics.
A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises -- with answers, hints, and solutions -- is especially valuable to anyone encountering graph theory for the first time.
Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.





Introductory Real Analysis

Автор: Kolmogorov, A. N.
Название: Introductory Real Analysis
ISBN: 0486612260 ISBN-13(EAN): 9780486612263
Издательство: Dover
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Цена: 1485 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

An Introductory Course on Differentiable Manifolds

Автор: Shahshahani Siavash
Название: An Introductory Course on Differentiable Manifolds
ISBN: 0486807061 ISBN-13(EAN): 9780486807065
Издательство: Dover
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Цена: 3131 р.
Наличие на складе: Поставка под заказ.

Описание: Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory of differentiable manifolds. Geared toward advanced undergraduates and graduate students in mathematics, the treatment's prerequisites include a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point set topology. More than 200 exercises offer students ample opportunity to gauge their skills and gain additional insights.
The four-part treatment begins with a single chapter devoted to the tensor algebra of linear spaces and their mappings. Part II brings in neighboring points to explore integrating vector fields, Lie bracket, exterior derivative, and Lie derivative. Part III, involving manifolds and vector bundles, develops the main body of the course. The final chapter provides a glimpse into geometric structures by introducing of connections on the tangent bundle as a tool to implant the second derivative and the derivative of vector fields on the base manifold. Relevant historical and philosophical asides enhance the mathematical text, and helpful Appendixes offer supplementary material.

Introductory Statistical Mechanics for Physicists

Автор: MacDonald D. K. C.
Название: Introductory Statistical Mechanics for Physicists
ISBN: 0486453235 ISBN-13(EAN): 9780486453231
Издательство: Dover
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Цена: 1015 р.
Наличие на складе: Поставка под заказ.

Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces

Автор: Jackson John
Название: Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces
ISBN: 0486453081 ISBN-13(EAN): 9780486453088
Издательство: Dover
Рейтинг:
Цена: 780 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Advanced undergraduates and graduate students studying quantum mechanics will find this text a valuable guide to mathematical methods. Emphasizing the unity of a variety of different techniques, it is enduringly relevant to many physical systems outside the domain of quantum theory.
Concise in its presentation, this text covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. Appendixes offer useful information on Bessel functions and Legendre functions and spherical harmonics. This introductory text's teachings offer a solid foundation to students beginning a serious study of quantum mechanics.

Pearls in Graph Theory: A Comprehensive Introduction

Автор: Hartsfield Nora
Название: Pearls in Graph Theory: A Comprehensive Introduction
ISBN: 0486432327 ISBN-13(EAN): 9780486432328
Издательство: Dover
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Цена: 1564 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: "Innovative introductory text . . . clear exposition of unusual and more advanced topics . . . Develops material to substantial level."--"American Mathematical Monthly"
"Refreshingly different . . . an ideal training ground for the mathematical process of investigation, generalization, and conjecture leading to the discovery of proofs and counterexamples."--"American Mathematical Monthly"
" . . . An excellent textbook for an undergraduate course."--"Australian Computer Journal"
A stimulating view of mathematics that appeals to students as well as teachers, this undergraduate-level text is written in an informal style that does not sacrifice depth or challenge. Based on 20 years of teaching by the leading researcher in graph theory, it offers a solid foundation on the subject. This revised and augmented edition features new exercises, simplifications, and other improvements suggested by classroom users and reviewers. Topics include 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 ed.

Topological Graph Theory

Автор: Jonathan L. Gross
Название: Topological Graph Theory
ISBN: 0486417417 ISBN-13(EAN): 9780486417417
Издательство: Dover
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Цена: 1328 р.
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Описание: Clear, comprehensive introduction emphasizes graph imbedding but also covers thoroughly the connections between topological graph theory and other areas of mathematics. Discussion of imbeddings into surfaces is combined with a complete proof of the classification of closed surfaces. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem -- a proof that revolutionized the field of graph theory -- and examine the genus of a group, including imbeddings of Cayley graphs. 1987 edition. Many figures.

Extremal Graph Theory

Автор: Bollobas, Bela
Название: Extremal Graph Theory
ISBN: 0486789039 ISBN-13(EAN): 9780486789033
Издательство: Dover
Цена: 4699 р.
Наличие на складе: Поставка под заказ.

Описание:

The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory.
Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.

Graph Theory

Автор: Gould, Ronald
Название: Graph Theory
ISBN: 0486498069 ISBN-13(EAN): 9780486498065
Издательство: Dover
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Цена: 1564 р.
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Описание: This introduction to graph theory focuses on well-established topics, covering primary techniques and including both algorithmic and theoretical problems. The algorithms are presented with a minimum of advanced data structures and programming details. This thoroughly corrected 1988 edition provides insights to computer scientists as well as advanced undergraduates and graduate students of topology, algebra, and matrix theory.
Fundamental concepts and notation and elementary properties and operations are the first subjects, followed by examinations of paths and searching, trees, and networks. Subsequent chapters explore cycles and circuits, planarity, matchings, and independence. The text concludes with considerations of special topics and applications and extremal theory. Exercises appear throughout the text.

Graph Theory with Applications to Engineering and Computer Science

Автор: Deo Narsingh
Название: Graph Theory with Applications to Engineering and Computer Science
ISBN: 0486807932 ISBN-13(EAN): 9780486807935
Издательство: Dover
Рейтинг:
Цена: 2347 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Introduction to Graph Theory

Автор: Trudeau, Richard J.
Название: Introduction to Graph Theory
ISBN: 0486678709 ISBN-13(EAN): 9780486678702
Издательство: Dover
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Цена: 1250 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Introductory Non-Euclidean Geometry

Автор: Manning Henry
Название: Introductory Non-Euclidean Geometry
ISBN: 0486442624 ISBN-13(EAN): 9780486442624
Издательство: Dover
Рейтинг:
Цена: 701 р.
Наличие на складе: Поставка под заказ.

Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces

Автор: Jackson, John
Название: Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues, and Linear Vector Spaces
ISBN: 0486785661 ISBN-13(EAN): 9780486785660
Издательство: Dover
Цена: 1564 р.
Наличие на складе: Поставка под заказ.

Описание: Advanced undergraduates and graduate students studying quantum mechanics will find this text a valuable guide to mathematical methods. Emphasizing the unity of a variety of different techniques, it is enduringly relevant to many physical systems outside the domain of quantum theory.
Concise in its presentation, this text covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. Appendixes offer useful information on Bessel functions and Legendre functions and spherical harmonics. This introductory text's teachings offer a solid foundation to students beginning a serious study of quantum mechanics.


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