Author: Chen Chuan-Chong
Publisher: World Scientific
ISBN: 981436567X
Category : Mathematics
Languages : en
Pages : 312
Book Description
A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included. Contents:Permutations and CombinationsBinomial Coefficients and Multinomial CoefficientsThe Pigeonhole Principle and Ramsey NumbersThe Principle of Inclusion and ExclusionGenerating FunctionsRecurrence Relations Readership: Undergraduates, graduates and mathematicians. keywords:Binomial Coefficients;Multinomial Coefficients;Euler Ï-Function;Enumerative Combinatorics;Addition Principle;Multiplication Principle;Combination;Permutation;Identities;Pigeon Hole Principle;Ramsey Numbers;Principle of Inclusion and Exclusion;Stirling Numbers;Derangements;Problem of Ménages;Sieve of Eratosthenes;Generating Functions;Partitions of Integers;Exponential Generating Functions;Recurrence Relations;Characteristic Polynomial;Catalan Numbers “This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.” Mathematical Reviews
Principles and Techniques in Combinatorics
Author: Chen Chuan-Chong
Publisher: World Scientific
ISBN: 981436567X
Category : Mathematics
Languages : en
Pages : 312
Book Description
A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included. Contents:Permutations and CombinationsBinomial Coefficients and Multinomial CoefficientsThe Pigeonhole Principle and Ramsey NumbersThe Principle of Inclusion and ExclusionGenerating FunctionsRecurrence Relations Readership: Undergraduates, graduates and mathematicians. keywords:Binomial Coefficients;Multinomial Coefficients;Euler Ï-Function;Enumerative Combinatorics;Addition Principle;Multiplication Principle;Combination;Permutation;Identities;Pigeon Hole Principle;Ramsey Numbers;Principle of Inclusion and Exclusion;Stirling Numbers;Derangements;Problem of Ménages;Sieve of Eratosthenes;Generating Functions;Partitions of Integers;Exponential Generating Functions;Recurrence Relations;Characteristic Polynomial;Catalan Numbers “This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.” Mathematical Reviews
Publisher: World Scientific
ISBN: 981436567X
Category : Mathematics
Languages : en
Pages : 312
Book Description
A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included. Contents:Permutations and CombinationsBinomial Coefficients and Multinomial CoefficientsThe Pigeonhole Principle and Ramsey NumbersThe Principle of Inclusion and ExclusionGenerating FunctionsRecurrence Relations Readership: Undergraduates, graduates and mathematicians. keywords:Binomial Coefficients;Multinomial Coefficients;Euler Ï-Function;Enumerative Combinatorics;Addition Principle;Multiplication Principle;Combination;Permutation;Identities;Pigeon Hole Principle;Ramsey Numbers;Principle of Inclusion and Exclusion;Stirling Numbers;Derangements;Problem of Ménages;Sieve of Eratosthenes;Generating Functions;Partitions of Integers;Exponential Generating Functions;Recurrence Relations;Characteristic Polynomial;Catalan Numbers “This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.” Mathematical Reviews
Principles and Techniques in Combinatorics
Author: Lin Simon Mingyan
Publisher: World Scientific
ISBN: 9813238860
Category : Mathematics
Languages : en
Pages : 440
Book Description
The solutions to each problem are written from a first principles approach, which would further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little knowledge of undergraduate mathematics assumed. In that regard, the solutions manual appeals to a wide range of readers, from secondary school and junior college students, undergraduates, to teachers and professors.
Publisher: World Scientific
ISBN: 9813238860
Category : Mathematics
Languages : en
Pages : 440
Book Description
The solutions to each problem are written from a first principles approach, which would further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little knowledge of undergraduate mathematics assumed. In that regard, the solutions manual appeals to a wide range of readers, from secondary school and junior college students, undergraduates, to teachers and professors.
Principles and techniques in combinatorics
Author: Chen Chuan-Chong
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 298
Book Description
Publisher:
ISBN:
Category : Combinatorial analysis
Languages : en
Pages : 298
Book Description
Combinatorics For Coders
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.
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.
Solomon Golomb’s Course on Undergraduate Combinatorics
Author: Solomon W. Golomb
Publisher: Springer Nature
ISBN: 3030722287
Category : Mathematics
Languages : en
Pages : 458
Book Description
This textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb’s insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study. Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems. Solomon Golomb’s Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book’s many entertaining challenges.
Publisher: Springer Nature
ISBN: 3030722287
Category : Mathematics
Languages : en
Pages : 458
Book Description
This textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb’s insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study. Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems. Solomon Golomb’s Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book’s many entertaining challenges.
A Primer in Combinatorics
Author: Alexander Kheyfits
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110751186
Category : Mathematics
Languages : en
Pages : 344
Book Description
The second edition of this well-received textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts, and methods for solving typical problems. Theorems then are formulated, proved, and illustrated by more problems of increasing difficulty.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110751186
Category : Mathematics
Languages : en
Pages : 344
Book Description
The second edition of this well-received textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts, and methods for solving typical problems. Theorems then are formulated, proved, and illustrated by more problems of increasing difficulty.
Counting
Author: Khee Meng Koh
Publisher: World Scientific
ISBN: 9814365602
Category : Mathematics
Languages : en
Pages : 124
Book Description
This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills. Errata(s) Errata Contents:The Addition PrincipleThe Multiplication PrincipleSubsets and ArrangementsApplicationsThe Bijection PrincipleDistribution of Balls into BoxesMore Applications of (BP)Distribution of Distinct Balls into Distinct BoxesOther Variations of the Distribution ProblemThe Binomial ExpansionSome Useful IdentitiesPascal's TriangleMiscellaneous Problems Readership: Teachers and students in high/secondary schools and colleges, and those interested in combinatorics and graph theory. Keywords:Bijection Principle;Distribution Problem;Binomial Expansion;Pascal's Triangle;Combinatoris;Graph TheoryReviews:“This book manages to make an area of mathematics traditionally considered difficult by students more accessible and is bound to captivate their attention with the numerous interesting exercises and applications it contains.”Mathematics Abstracts
Publisher: World Scientific
ISBN: 9814365602
Category : Mathematics
Languages : en
Pages : 124
Book Description
This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills. Errata(s) Errata Contents:The Addition PrincipleThe Multiplication PrincipleSubsets and ArrangementsApplicationsThe Bijection PrincipleDistribution of Balls into BoxesMore Applications of (BP)Distribution of Distinct Balls into Distinct BoxesOther Variations of the Distribution ProblemThe Binomial ExpansionSome Useful IdentitiesPascal's TriangleMiscellaneous Problems Readership: Teachers and students in high/secondary schools and colleges, and those interested in combinatorics and graph theory. Keywords:Bijection Principle;Distribution Problem;Binomial Expansion;Pascal's Triangle;Combinatoris;Graph TheoryReviews:“This book manages to make an area of mathematics traditionally considered difficult by students more accessible and is bound to captivate their attention with the numerous interesting exercises and applications it contains.”Mathematics Abstracts
Counting
Author: Koh Khee Meng
Publisher: World Scientific Publishing Company
ISBN: 9813101741
Category : Mathematics
Languages : en
Pages : 220
Book Description
This book is the essential companion to the authors' earlier book Counting (World Scientific, 2002), an introduction to combinatorics for junior college students. It provides supplementary material both for the purpose of adding to the reader's knowledge about counting techniques and, in particular, for use as a textbook for junior college students and teachers in combinatorics at H3 level in the new Singapore mathematics curriculum for junior college. The emphasis in combinatorics within the syllabus is to hone basic skills and techniques in general problem solving and logical thinking. The book also gives solutions to the exercises in Counting. There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.
Publisher: World Scientific Publishing Company
ISBN: 9813101741
Category : Mathematics
Languages : en
Pages : 220
Book Description
This book is the essential companion to the authors' earlier book Counting (World Scientific, 2002), an introduction to combinatorics for junior college students. It provides supplementary material both for the purpose of adding to the reader's knowledge about counting techniques and, in particular, for use as a textbook for junior college students and teachers in combinatorics at H3 level in the new Singapore mathematics curriculum for junior college. The emphasis in combinatorics within the syllabus is to hone basic skills and techniques in general problem solving and logical thinking. The book also gives solutions to the exercises in Counting. There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.
Counting
Author: Khee Meng Koh
Publisher: World Scientific Publishing Company
ISBN: 9814401935
Category : Mathematics
Languages : en
Pages : 224
Book Description
This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills. New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.
Publisher: World Scientific Publishing Company
ISBN: 9814401935
Category : Mathematics
Languages : en
Pages : 224
Book Description
This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills. New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.
Counting
Author: Khee Meng Koh
Publisher: World Scientific Publishing Company
ISBN: 981440196X
Category : Mathematics
Languages : en
Pages : 224
Book Description
This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest. The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.
Publisher: World Scientific Publishing Company
ISBN: 981440196X
Category : Mathematics
Languages : en
Pages : 224
Book Description
This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest. The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.