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Author: A K Pandey Publisher: IITPAL ISBN: Category : Mathematics Languages : en Pages : 139
Book Description
Combinatorics is one of most logical and live field of mathematics. Concepts of combinatorics are widely applicable in probability and computations. Learning combinatorics requires little different approach. It requires building fundamental rules of execution. Every new problem demands a new rule. This book is a perfect match for beginners and focuses on experiential learning of the subject. It takes reader into the all new world of the combinatorics while developing intuitive map of working algorithms. This book is suitable as a class text or for individual study. This trusted book covers the Concepts of Combinatorics including the counting techniques, Permutations and Combinations, Arrangements of objects in circular manner, Derangement, generating functions and recurrence relations. This wonder book is also suitable for any one interested in learning combinatorics from SCRATCH and having no basic knowledge. Concepts are presented in very lucid manner, students will definitely find it very easy to read. A wide range of solved examples, about 300 combinatorics problems taken from various mathematical competitions and exercises are also included.
Author: A K Pandey Publisher: IITPAL ISBN: Category : Mathematics Languages : en Pages : 139
Book Description
Combinatorics is one of most logical and live field of mathematics. Concepts of combinatorics are widely applicable in probability and computations. Learning combinatorics requires little different approach. It requires building fundamental rules of execution. Every new problem demands a new rule. This book is a perfect match for beginners and focuses on experiential learning of the subject. It takes reader into the all new world of the combinatorics while developing intuitive map of working algorithms. This book is suitable as a class text or for individual study. This trusted book covers the Concepts of Combinatorics including the counting techniques, Permutations and Combinations, Arrangements of objects in circular manner, Derangement, generating functions and recurrence relations. This wonder book is also suitable for any one interested in learning combinatorics from SCRATCH and having no basic knowledge. Concepts are presented in very lucid manner, students will definitely find it very easy to read. A wide range of solved examples, about 300 combinatorics problems taken from various mathematical competitions and exercises are also included.
Author: Stanley Gill Williamson Publisher: Courier Corporation ISBN: 9780486420769 Category : Mathematics Languages : en Pages : 548
Book Description
Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Invaluable practical resource for graduate students, advanced undergraduates, and professionals with an interest in algorithm design and other aspects of computer science and combinatorics. References for Linear Order & for Graphs, Trees, and Recursions. 219 figures.
Author: Ian F. Blake Publisher: Academic Press ISBN: 1483260291 Category : Mathematics Languages : en Pages : 242
Book Description
An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.
Author: Ian F. Blake Publisher: Academic Press ISBN: 1483260593 Category : Mathematics Languages : en Pages : 368
Book Description
The Mathematical Theory of Coding focuses on the application of algebraic and combinatoric methods to the coding theory, including linear transformations, vector spaces, and combinatorics. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on self-dual and quasicyclic codes, quadratic residues and codes, balanced incomplete block designs and codes, bounds on code dictionaries, code invariance under permutation groups, and linear transformations of vector spaces over finite fields. The text then takes a look at coding and combinatorics and the structure of semisimple rings. Topics include structure of cyclic codes and semisimple rings, group algebra and group characters, rings, ideals, and the minimum condition, chains and chain groups, dual chain groups, and matroids, graphs, and coding. The book ponders on group representations and group codes for the Gaussian channel, including distance properties of group codes, initial vector problem, modules, group algebras, andrepresentations, orthogonality relationships and properties of group characters, and representation of groups. The manuscript is a valuable source of data for mathematicians and researchers interested in the mathematical theory of coding.
Author: Keqin Feng Publisher: Birkhäuser ISBN: 3034878656 Category : Computers Languages : en Pages : 403
Book Description
It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.
Author: Volodia Blinovsky Publisher: Springer Science & Business Media ISBN: 1461561930 Category : Technology & Engineering Languages : en Pages : 116
Book Description
Asymptotic Combinatorial Coding Theory is devoted to the investigation of the combinatorial properties of transmission systems using discrete signals. The book presents results of interest to specialists in combinatorics seeking to apply combinatorial methods to problems of combinatorial coding theory. Asymptotic Combinatorial Coding Theory serves as an excellent reference for resarchers in discrete mathematics, combinatorics, and combinatorial coding theory, and may be used as a text for advanced courses on the subject.
Author: Titu Andreescu Publisher: Springer Science & Business Media ISBN: 081768154X Category : Mathematics Languages : en Pages : 235
Book Description
This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions. Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques. The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will interest seasoned mathematicians as well. "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.
Author: A K Pandey
Author: A K Pandey
Author: Stanley Gill Williamson
Author: Ian F. Blake
Author: Dean Crnković
Author: Ian F. Blake
Author: Keqin Feng
Author: Volodia Blinovsky
Author: 
Author: M. Lothaire
Author: Titu Andreescu