Higher Order Combinatorics For Scholars
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Higher Order Combinatorics For Scholars
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-10
Higher Order Combinatorics For Scholars written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with Mathematics categories.
**Higher-Order Combinatorics for Scholars** is a comprehensive introduction to higher-order combinatorics, suitable for advanced undergraduates and graduate students in mathematics, computer science, and engineering. It provides a rigorous and systematic treatment of the fundamental concepts and techniques of combinatorics, with a focus on applications to other areas of mathematics, such as graph theory, number theory, probability theory, linear algebra, optimization, complexity theory, and algorithmic combinatorics. The book is divided into ten chapters, each of which covers a different aspect of combinatorics. The first chapter introduces the basic counting principles, as well as more advanced topics such as generating functions and the inclusion-exclusion principle. The second chapter covers advanced counting techniques, such as the pigeonhole principle, Ramsey theory, and extremal combinatorics. The third chapter introduces graph theory, which is the study of graphs, which are mathematical structures that consist of a set of vertices and edges. The fourth chapter introduces set theory, which is the study of sets, which are collections of distinct objects. The fifth chapter introduces number theory, which is the study of numbers and their properties. The sixth chapter introduces probability theory, which is the study of the likelihood of events. The seventh chapter introduces linear algebra, which is the study of vectors and matrices. The eighth chapter introduces optimization, which is the study of finding the best possible solution to a given problem. The ninth chapter introduces complexity theory, which is the study of the computational resources required to solve different problems. The tenth chapter introduces algorithmic combinatorics, which is the study of algorithms for solving combinatorial problems. Each chapter contains a wealth of exercises that are designed to help the reader understand the material and to develop problem-solving skills. The book also contains a comprehensive appendix that provides a glossary of terms and a summary of important results. **Higher-Order Combinatorics for Scholars** is a valuable resource for students and researchers who are interested in combinatorics and its applications. It is also a useful reference for anyone who needs to use combinatorial techniques in their work. If you like this book, write a review!
Higher Order Networks An Introduction To Simplicial Complexes
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Author : Ginestra Bianconi
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-23
Higher Order Networks An Introduction To Simplicial Complexes written by Ginestra Bianconi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-23 with Mathematics categories.
This Element presents one of the most recent developments in network science in a highly accessible style. This Element will be of interest to interdisciplinary scientists working in network science, in addition to mathematicians working in discrete topology and geometry and physicists working in quantum gravity.
Combinatorics And Reasoning
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Author : Carolyn A. Maher
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25
Combinatorics And Reasoning written by Carolyn A. Maher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Education categories.
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
Combinatorics And Graph Theory
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Author : John Harris
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03
Combinatorics And Graph Theory written by John Harris and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-03 with Mathematics categories.
There are certain rules that one must abide by in order to create a successful sequel. — Randy Meeks, from the trailer to Scream 2 While we may not follow the precise rules that Mr. Meeks had in mind for s- cessful sequels, we have made a number of changes to the text in this second edition. In the new edition, we continue to introduce new topics with concrete - amples, we provide complete proofs of almost every result, and we preserve the book’sfriendlystyle andlivelypresentation,interspersingthetextwith occasional jokes and quotations. The rst two chapters, on graph theory and combinatorics, remain largely independent, and may be covered in either order. Chapter 3, on in nite combinatorics and graphs, may also be studied independently, although many readers will want to investigate trees, matchings, and Ramsey theory for nite sets before exploring these topics for in nite sets in the third chapter. Like the rst edition, this text is aimed at upper-division undergraduate students in mathematics, though others will nd much of interest as well. It assumes only familiarity with basic proof techniques, and some experience with matrices and in nite series. The second edition offersmany additionaltopics for use in the classroom or for independentstudy. Chapter 1 includesa new sectioncoveringdistance andrelated notions in graphs, following an expanded introductory section. This new section also introduces the adjacency matrix of a graph, and describes its connection to important features of the graph.
Handbook Of Combinatorial Designs
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Author : Charles J. Colbourn
language : en
Publisher: CRC Press
Release Date : 2006-11-02
Handbook Of Combinatorial Designs written by Charles J. Colbourn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Computers categories.
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence
Physical Combinatorics
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Author : Masaki Kashiwara
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Physical Combinatorics written by Masaki Kashiwara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Taking into account the various criss-crossing among mathematical subject, Physical Combinatorics presents new results and exciting ideas from three viewpoints; representation theory, integrable models, and combinatorics. This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics.
Artificial Higher Order Neural Networks For Modeling And Simulation
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Author : Zhang, Ming
language : en
Publisher: IGI Global
Release Date : 2012-10-31
Artificial Higher Order Neural Networks For Modeling And Simulation written by Zhang, Ming and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-31 with Computers categories.
"This book introduces Higher Order Neural Networks (HONNs) to computer scientists and computer engineers as an open box neural networks tool when compared to traditional artificial neural networks"--Provided by publisher.
Counting And Configurations
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Author : Jiri Herman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Counting And Configurations written by Jiri Herman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
This book can be seen as a continuation of Equations and Inequalities: El ementary Problems and Theorems in Algebra and Number Theory by the same authors, and published as the first volume in this book series. How ever, it can be independently read or used as a textbook in its own right. This book is intended as a text for a problem-solving course at the first or second-year university level, as a text for enrichment classes for talented high-school students, or for mathematics competition training. It can also be used as a source of supplementary material for any course dealing with combinatorics, graph theory, number theory, or geometry, or for any of the discrete mathematics courses that are offered at most American and Canadian universities. The underlying "philosophy" of this book is the same as that of Equations and Inequalities. The following paragraphs are therefore taken from the preface of that book.
Computing And Combinatorics
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Author : Yong Chen
language : en
Publisher: Springer Nature
Release Date : 2025-02-19
Computing And Combinatorics written by Yong Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-19 with Computers categories.
This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024. The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation, computational complexity, and combinatorics related to computing.
The Sage Handbook Of Organization Studies
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Author : Stewart R Clegg
language : en
Publisher: SAGE
Release Date : 2006-06-21
The Sage Handbook Of Organization Studies written by Stewart R Clegg and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-21 with Business & Economics categories.
Praise for the award winning First Edition: ′This handbook is organized to help teachers and students to cover the mainstream work in the field of organization studies. This is an excellent reference tool with which to study organizational theory and practice′ - International Review of Administrative Sciences ′The editors have put together an impressive reference work, serious in intent and rigorous in implementation. As a publishing achievement, and a scholarly ′event′ in the field, SAGE is to be congratulated. It is designed as a work of synthesis, to link past and present, general and specific′ - Journal of General Management Praise for the New Edition: ′An excellent collection of papers giving a timely overview of the field′ - Gareth Morgan ′In this substantially updated, revised and extended edition of the widely acclaimed Handbook, the high standard of the contributions is maintained. Close consideration is given to newly emergent, such as networks and complexity, as well as more established topics. Metaphors of conversation and discourse are engagingly invoked to make and explore new distinctions, directions and connections. It is a key reference volume for more advanced students of this rapidly developing field′ - Hugh Willmott , Diageo Professor of Management Studies, Judge Business School, University of Cambridge ′Giving the authors of the Handbook of Organization Studies the opportunity to revise and update their earlier contributions makes this handbook unique. Comparing the revised chapters to their originals offers the reader unparalleled insight into how knowledge develops in our discipline. New frameworks and deeper understandings, grounded in continuing scholarship, abound in this updated classic′ - Mary Jo Hatch, C. Coleman McGehee Eminent Scholars Research Professor of Banking and Commerce McIntire School of Commerce, University of Virginia A decade after it first published to international acclaim, the seminal Handbook of Organization Studies has been updated to capture exciting new developments in the field. Providing a retrospective and prospective overview of organization studies, the Handbook continues to challenge and inspire readers with its synthesis of knowledge and literature. As ever, contributions have been selected to reflect the diversity of the field. New chapters cover areas such as organizational change; knowledge management; and organizational networks. Part One reflects on the relationship between theory, research and practice in organization studies. Part Two address a number of the most significant issues to affect organization studies such as leadership, diversity and globalization. Comprehensive and far-reaching, this important resource will set new standards for the understanding of organizational studies. It will be invaluable to researchers, teachers and advanced students alike.