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Enumerative Combinatorics: Volume 2

由 Richard P. Stanley, Sergey Fomin ……

系列第 62 冊 - Cambridge Studies in Advanced Mathematics
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 subject suitable for an introductory graduate course on …… 閱讀更多內容

NT$1,810 TWD

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 subject suitable for an introductory graduate course on
... 閱讀更多內容
Topics in Topological Graph Theory

由 Jonathan L. Gross, Thomas W. Tucker ……

系列第 128 冊 - Encyclopedia of Mathematics and its Applications
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope …… 閱讀更多內容

NT$4,943 TWD

The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope
... 閱讀更多內容
Topics in Chromatic Graph Theory

編輯者: Lowell W. Beineke, Robin J. Wilson ……

系列第 156 冊 - Encyclopedia of Mathematics and its Applications
Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material …… 閱讀更多內容

NT$4,943 TWD

Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material
... 閱讀更多內容
Topics in Structural Graph Theory

由 Ortrud R. Oellermann ……

系列第 147 冊 - Encyclopedia of Mathematics and its Applications
The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide …… 閱讀更多內容

NT$4,404 TWD

The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide
... 閱讀更多內容
Beginner's Further Guide To Mathematical Logic, A

由 Raymond M Smullyan ……

'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on …… 閱讀更多內容

NT$594 TWD

'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on
... 閱讀更多內容
Topics in Algebraic Graph Theory

編輯者: Lowell W. Beineke, Robin J. Wilson, Peter J. Cameron ……

系列第 102 冊 - Encyclopedia of Mathematics and its Applications
The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is …… 閱讀更多內容

NT$4,404 TWD

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is
... 閱讀更多內容
Introduction to Random Graphs

由 Alan Frieze, Michał Karoński ……

From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for …… 閱讀更多內容

NT$2,594 TWD

From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for
... 閱讀更多內容
Topics in Algorithmic Graph Theory

編輯者: Lowell W. Beineke, Martin Charles Golumbic, Robin J. Wilson ……

系列第 178 冊 - Encyclopedia of Mathematics and its Applications
Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and …… 閱讀更多內容

NT$3,620 TWD

Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and
... 閱讀更多內容
Principles And Techniques In Combinatorics

由 Chuan Chong Chen, Khee-meng Koh ……

NT$920 TWD
Enumerative Combinatorics: Volume 1

由 Richard P. Stanley ……

系列第 49 冊 - Cambridge Studies in Advanced Mathematics
Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the …… 閱讀更多內容

NT$2,107 TWD

Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the
... 閱讀更多內容
Mathematical Principles of the Internet, Volume 2

Mathematics

由 Nirdosh Bhatnagar ……

系列 series Chapman & Hall/CRC Computer and Information Science Series
This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is …… 閱讀更多內容

NT$2,207 TWD

This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is
... 閱讀更多內容
Game Theory

A Modeling Approach

由 Richard Alan Gillman, David Housman ……

系列 series Textbooks in Mathematics
Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.Each chapter provides foundation …… 閱讀更多內容

NT$2,207 TWD

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.Each chapter provides foundation
... 閱讀更多內容
Graph Searching Games and Probabilistic Methods

由 Anthony Bonato, Pawel Pralat ……

系列 series Discrete Mathematics and Its Applications
Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting.Written in an engaging style, the book is accessible to a wide audience including …… 閱讀更多內容

NT$2,175 TWD

Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting.Written in an engaging style, the book is accessible to a wide audience including
... 閱讀更多內容
Capacity and Transport in Contrast Composite Structures

Asymptotic Analysis and Applications

由 A. A. Kolpakov, A. G. Kolpakov ……

Is it possible to apply a network model to composites with conical inclusions?How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications an …… 閱讀更多內容

NT$2,537 TWD

Is it possible to apply a network model to composites with conical inclusions?How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications an
... 閱讀更多內容
Selected Problems Of The Vietnamese Mathematical Olympiad (1962-2009)

由 Hai Chau Le, Hai Khoi Le ……

系列第 5 冊 - Mathematical Olympiad Series
Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International Mathematical Olympiad (IMO) since 1974 and constantly emerged as one of the top ten.To inspire and further challenge readers, we have gathered in this book problems of various degrees of difficulty of …… 閱讀更多內容

NT$920 TWD

Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International Mathematical Olympiad (IMO) since 1974 and constantly emerged as one of the top ten.To inspire and further challenge readers, we have gathered in this book problems of various degrees of difficulty of
... 閱讀更多內容
Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

由 Leonid Bokut, Yuqun Chen, Kyriakos Kalorkoti, Pavel Kolesnikov, Viktor E Lopatkin ……

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid …… 閱讀更多內容

NT$3,262 TWD

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid
... 閱讀更多內容
IMO Problems, Theorems, and Methods

Combinatorics

由 Guangyu Xu, Zhenhua Qu, Zhenhua Qu, Jinhua Chen ……

系列第 26 冊 - Mathematical Olympiad Series
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted in profound mathematical context. The team at the International Mathematical Olympiad Research Center at East China Normal University has compiled and studied problems from past IMOs, dividing them into four volumes based on the mathematical fields involved: algebra, geometry, …… 閱讀更多內容

NT$688 TWD

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted in profound mathematical context. The team at the International Mathematical Olympiad Research Center at East China Normal University has compiled and studied problems from past IMOs, dividing them into four volumes based on the mathematical fields involved: algebra, geometry,
... 閱讀更多內容
Calcolo combinatorio e probabilità

由 Alessio Mangoni ……

Il calcolo combinatorio e la probabilità sono potenti strumenti matematici dalle molteplici funzioni, si possono usare per risolvere problemi pratici, svolgere esercizi scolastici e universitari o, semplicemente, per allenare la propria mente a ragionare, anche in presenza di situazioni complesse. Affronteremo i vari argomenti con un duplice approccio, quello intuitivo e quello formale, il primo …… 閱讀更多內容

NT$149 TWD

Il calcolo combinatorio e la probabilità sono potenti strumenti matematici dalle molteplici funzioni, si possono usare per risolvere problemi pratici, svolgere esercizi scolastici e universitari o, semplicemente, per allenare la propria mente a ragionare, anche in presenza di situazioni complesse. Affronteremo i vari argomenti con un duplice approccio, quello intuitivo e quello formale, il primo
... 閱讀更多內容
Graph Theory As I Have Known It

由 W. T. Tutte ……

系列第 11 冊 - Oxford Lecture Series in Mathematics and Its Applications
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight …… 閱讀更多內容

NT$1,364 TWD

This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight
... 閱讀更多內容
A Combinatorial Approach to Matrix Theory and Its Applications

由 Richard A. Brualdi, Dragos Cvetkovic ……

系列 series Discrete Mathematics and Its Applications
Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this …… 閱讀更多內容

NT$2,438 TWD

Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this
... 閱讀更多內容
Algebraic Curves in Cryptography

由 San Ling, Huaxiong Wang, Chaoping Xing ……

系列 series Discrete Mathematics and Its Applications
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh …… 閱讀更多內容

NT$2,899 TWD

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh
... 閱讀更多內容
Incidence Algebras

由 Eugene Spiegel, Christopher O'Donnell ……

系列 series Chapman & Hall/CRC Pure and Applied Mathematics
This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras. …… 閱讀更多內容

NT$7,743 TWD

This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.
... 閱讀更多內容
Voronoi Diagrams And Delaunay Triangulations

由 Franz Aurenhammer, Rolf Klein, Der-tsai Lee ……

Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute …… 閱讀更多內容

NT$1,127 TWD

Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute
... 閱讀更多內容
Analytic Combinatorics

由 Philippe Flajolet, Robert Sedgewick ……

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination …… 閱讀更多內容

NT$3,512 TWD

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination
... 閱讀更多內容

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