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Author: A K Pandey
Publisher: IITPAL
ISBN:
Category : Mathematics
Languages : en
Pages : 150
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Book Description
About Book: 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. So by remembering few fix rules we can't be expert of this fascinating field. This book focuses on experiential learning of the subject. It takes reader into the all new world of the combinatorics while developing intuitive map of 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 so that students will find it very easy to read. A wide range of solved examples, about 300 combinatoric problems taken from various mathematical competitions and exercises are also included. Contents: -Permutations and Combinations -Generating Functions -Recurrence Relations -partitions of Integers -counting sequences and generating functions -Derangement -Application of Prime Factorization Theorem in combinatorics -Binomial Coefficients and Multinational Coefficients Reviews: Rishabh sharma 5.0 out of 5 stars Combinatorics is explained in the best way Reviewed in India on 10 September 2020 Verified Purchase Rishabh Sharma (*****) This book is great to learn combinatorics from basics as it covers JEE syllabus completely and is more inclined towards the intuition of a human brain. But it should include more questions.
Author: A K Pandey
Publisher: IITPAL
ISBN:
Category : Mathematics
Languages : en
Pages : 150
Get Book Here
Book Description
About Book: 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. So by remembering few fix rules we can't be expert of this fascinating field. This book focuses on experiential learning of the subject. It takes reader into the all new world of the combinatorics while developing intuitive map of 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 so that students will find it very easy to read. A wide range of solved examples, about 300 combinatoric problems taken from various mathematical competitions and exercises are also included. Contents: -Permutations and Combinations -Generating Functions -Recurrence Relations -partitions of Integers -counting sequences and generating functions -Derangement -Application of Prime Factorization Theorem in combinatorics -Binomial Coefficients and Multinational Coefficients Reviews: Rishabh sharma 5.0 out of 5 stars Combinatorics is explained in the best way Reviewed in India on 10 September 2020 Verified Purchase Rishabh Sharma (*****) This book is great to learn combinatorics from basics as it covers JEE syllabus completely and is more inclined towards the intuition of a human brain. But it should include more questions.
Author: Walter D. Wallis
Publisher: CRC Press
ISBN: 1498777627
Category : Mathematics
Languages : en
Pages : 311
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Book Description
What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties? The authors have presented a text for students at all levels of preparation. For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problems to give the reader a better idea of what the subject covers. The next chapters explore enumerative ideas and also probability. It then moves on to enumerative functions and the relations between them, and generating functions and recurrences., Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The authors conclude with further discussion of the interaction between linear algebra and combinatorics. Features Two new chapters on probability and posets. Numerous new illustrations, exercises, and problems. More examples on current technology use A thorough focus on accuracy Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, Flexible use of MapleTM and MathematicaTM
Author: Harout Aydinian
Publisher: Springer
ISBN: 3642368999
Category : Computers
Languages : en
Pages : 811
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Book Description
This volume is dedicated to the memory of Rudolf Ahlswede, who passed away in December 2010. The Festschrift contains 36 thoroughly refereed research papers from a memorial symposium, which took place in July 2011. The four macro-topics of this workshop: theory of games and strategic planning; combinatorial group testing and database mining; computational biology and string matching; information coding and spreading and patrolling on networks; provide a comprehensive picture of the vision Rudolf Ahlswede put forward of a broad and systematic theory of search.
Author: W.D. Wallis
Publisher: CRC Press
ISBN: 1439806233
Category : Computers
Languages : en
Pages : 398
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Book Description
Accessible to undergraduate students, Introduction to Combinatorics presents approaches for solving counting and structural questions. It looks at how many ways a selection or arrangement can be chosen with a specific set of properties and determines if a selection or arrangement of objects exists that has a particular set of properties. To give students a better idea of what the subject covers, the authors first discuss several examples of typical combinatorial problems. They also provide basic information on sets, proof techniques, enumeration, and graph theory—topics that appear frequently throughout the book. The next few chapters explore enumerative ideas, including the pigeonhole principle and inclusion/exclusion. The text then covers enumerative functions and the relations between them. It describes generating functions and recurrences, important families of functions, and the theorems of Pólya and Redfield. The authors also present introductions to computer algebra and group theory, before considering structures of particular interest in combinatorics: graphs, codes, Latin squares, and experimental designs. The last chapter further illustrates the interaction between linear algebra and combinatorics. Exercises and problems of varying levels of difficulty are included at the end of each chapter. Ideal for undergraduate students in mathematics taking an introductory course in combinatorics, this text explores the different ways of arranging objects and selecting objects from a set. It clearly explains how to solve the various problems that arise in this branch of mathematics.
Author: Rudolf Ahlswede
Publisher: Springer Science & Business Media
ISBN: 3540462449
Category : Computers
Languages : en
Pages : 1138
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Book Description
This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.
Author: Xiaodong Hu
Publisher: Springer
ISBN: 3540697330
Category : Computers
Languages : en
Pages : 692
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Book Description
The refereed proceedings of the 14th Annual International Computing and Combinatorics Conference, COCOON 2008, held in Dalian, China, in June 2008. The 66 revised full papers presented were carefully reviewed and selected from 172 submissions. The papers are organized in topical sections on algorithms and data structures, algorithmic game theory and online algorithms, automata, languages, logic, and computability, combinatorics related to algorithms and complexity, complexity theory, cryptography, reliability and security, and database theory, computational biology and bioinformatics, computational algebra, geometry, and number theory, graph drawing and information visualization, graph theory and algorithms, communication networks, and optimization, wireless network, network optimization, and scheduling problem.
Author: Lusheng Wang
Publisher: Springer Science & Business Media
ISBN: 3540280618
Category : Computers
Languages : en
Pages : 1010
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Book Description
The refereed proceedings of the 11th Annual International Computing and Combinatorics Conference, COCOON 2005, held in Kunming, China in August 2005. The 96 revised full papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 353 submissions. The papers cover most aspects of theoretical computer science and combinatorics related to computing and are organized in topical sections on bioinformatics, networks, string algorithms, scheduling, complexity, steiner trees, graph drawing and layout design, quantum computing, randomized algorithms, geometry, codes, finance, facility location, graph theory, graph algorithms.
Author: N. Ya. Vilenkin
Publisher: Academic Press
ISBN: 1483266117
Category : Mathematics
Languages : en
Pages : 313
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Book Description
Combinatorics deals with simple combinatorial problems, recurrence relations, and generating functions, particularly the binomial expansions. The book expounds on the general rules of combinatorics, the rule of sum, the rule of product, samples, permutations, combinations, and arrangements of subjects with various restrictions. The text also explains ordered or unordered partitions of numbers, geometric methods, random walk problems, and variants of the arithmetical triangle. One example of the use of combinatorics is the choice of the number 3 in the genetic code. Another example involves the choice of crew for a spaceship where it is necessary to consider the psychological conditions of the applicants for space travel. The text also investigates the sieve of Erastothenes whose problem concerns finding all the primes in the sequence of natural numbers from 1 to N. The book also tackles the application of power series to proof of identities, the binomial series expansion, decomposition into elementary fractions, and nonlinear recurrence relation. The book can be highly educational and interesting to students or academicians involved in mathematics, algebra, and statistics.
Author: Keqin Feng
Publisher: Birkhäuser
ISBN: 3034878656
Category : Computers
Languages : en
Pages : 403
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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: Russell Merris
Publisher: John Wiley & Sons
ISBN: 047145849X
Category : Mathematics
Languages : en
Pages : 572
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Book Description
A mathematical gem–freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to such a course. Features retained from the first edition: Lively and engaging writing style Timely and appropriate examples Numerous well-chosen exercises Flexible modular format Optional sections and appendices Highlights of Second Edition enhancements: Smoothed and polished exposition, with a sharpened focus on key ideas Expanded discussion of linear codes New optional section on algorithms Greatly expanded hints and answers section Many new exercises and examples
