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How to Prove It: A Structured Approach
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Daniel J Velleman
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic ...
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A Course in Combinatorics
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Jacobus H. Van Lint, Richard M. Wilson, Jacobus Hendricus Van Lint
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has ...
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The Algorithm Design Manual
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Steven S Skiena
'...The most comprehensive guide to designing practical and efficient algorithms!..."The Algorithm Design Manual, Second Edition"...the book is an algorithm-implementation treasure trove, and putting all of these implementations in one place was no small feat. The list of implementations [and] extensive bibliography make the book an invaluable ...
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Combinatorial Optimization: Algorithms and Complexity
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Christos H Papadimitriou
This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.
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Counting: The Art of Enumerative Combinatorics
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George Edward Martin
Counting is hard. "Counting" is short for "Enumerative Combinatorics," which certainly doesn't sound easy. This book provides an introduction to discrete mathematics that addresses questions that begin, How many ways are there to...At the end of the book the reader should be able to answer such nontrivial counting questions as, How many ways are ...
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Discrete and Combinatorial Mathematics
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by
Ralph P Grimaldi, David J Rothman
This fifth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow ...
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Combinatorics and Graph Theory
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John Harris, Jeffry L Hirst, Michael Mossinghoff
This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline.The second edition includes many new ...
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Principia Mathematica - Volume One
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North Whitehead Alfred North Whitehead, Russell Bertrand Russell
One of the major works in mathematics and philosophy of the 20th century, by two of its major philosophers.
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Computability and Logic
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by
George Boolos
This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a ...
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Introductory combinatorics
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by
Richard A Brualdi
Appropriate for one- or two-semester, junior- to senior-level combinatorics courses. This trusted best-seller covers the key combinatorial ideas--including the pigeon-hole principle, counting techniques, permutations and combinations, Polya counting, binomial coefficients, inclusion-exclusion principle, generating functions and recurrence ...
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Applied Combinatorics
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by
Alan Tucker
This book is designed for use by students with a wide range of ability and maturity. The stronger the students, the harder the exercises that can be assigned. The book can be used for one--quarter, two--quarter, or one--semester course depending on how much material is used. Combinatorical reasoning underlies all analysis of computer systems. It ...
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Principia Mathematica - Volume Two
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North Whitehead Alfred North Whitehead, Russell Bertrand Russell
One of the major works in mathematics and philosophy of the 20th century, by two of its major philosophers.
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Graph Theory
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by
U S R Murty, J A Bondy
Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics - computer science, combinatorial optimization, and operations research in particular - but also to its ...
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Polyominoes: Puzzles, Patterns, Problems, and Packings
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by
Solomon W Golomb
Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this expanded edition, the author takes a new generation of readers on a ...
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Coding Theory: A First Course
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by
San Ling, Chaoping Xing
Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and ...
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Introductory Combinatorics
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by
Bogart
Focusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern combinatorics at an introductory level. The author begins with an introduction of concepts fundamental to all branches of combinatorics in the context of combinatorial enumeration. Chapter 2 is devoted to ...
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Computability and Logic
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Richard C Jeffrey, George S Boolos
A text for a second course in logic for graduate and advanced undergraduate students. This third edition has been corrected and contains thoroughly revised versions of the chapters on Ramsey and provability, with new exercises provided for three other chapters. There are also two new chapters dealing with undecidable sentences and on the non ...
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Graphs, Networks and Algorithms
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by
Dieter Jungnickel
From reviews of the previous editions - '...The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical ...
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Enumerative Combinatorics: Volume 2
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Richard P Stanley, Bela Bollobas (Editor), W Fulton (Editor)
This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this ...
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Introduction to Combinatorial Analysis
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by
John Riordan
This is a text that defines "the number of ways there are of doing some well-defined operation." Covers permutations and combinations associated with elementary algebra, generating functions, the principle of inclusion and exclusion, the cycles of permutations, the theory of distributions, partitions, compositions, trees, and linear graphs; and ...
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Discrete Mathematics
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Laszlo Lovasz, Jozsef Pelikan, Katalin L Vesztergombi
Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, ...
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Graphs & Digraphs, Third Edition
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by
Gary Chartrand, Linda Lesniak
This is the third edition of the popular text on graph theory. As in previous editions, the text presents graph theory as a mathematical discipline and emphasizes clear exposition and well-written proofs. New in this edition are expanded treatments of graph decomposition and external graph theory, a study of graph vulnerability and domination, and ...
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Enumerative Combinatorics: Volume 1
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by
Richard P Stanley, Bela Bollobas (Editor), W Fulton (Editor)
This title concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The four chapters are devoted to enumeration, sieve methods, partially ordered sets, and rational generating functions. The references have been updated and more problems are included in this reissue of the 1986 title.
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Principia Mathematica - Volume Three
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by
North Whitehead Alfred North Whitehead, Russell Bertrand Russell
An Unabridged, Digitally Enlarged Printing Of Volume III Of III With Additional Errata To Volumes I And II: Part V - SERIES (Continued) - Well Ordered Series - Finite And Infinite Series And Ordinals - Compact Series, Rational Series, And Continuous Series - Part VI - QUANTITY - Generalization Of Number - Vector-Families - Measurement - Cyclic ...
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Design Theory
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by
Charles C Lindner, Christopher A Rodger
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in Combinatorial Design Theory. The text features clear explanations of basic designs such as Steiner and Kirkman triple systems, mutually orthogonal Latin squares, ...
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