Combinatorics Modeling Elementary Number Theory From Basic To Advanced
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Combinatorics Modeling Elementary Number Theory
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Author : Ivan Cherednik
language : en
Publisher:
Release Date : 2023
Combinatorics Modeling Elementary Number Theory written by Ivan Cherednik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Combinatorial analysis categories.
"A unique textbook devoted to introductory combinatorics, modeling and elementary number theory It is relatively simple to use in the classroom: 1 Chapter is designed for 2 weeks, and the notes can be provided designed for remote teaching or to display in the classroom Some of the advanced topics are good for research projects; the most popular ones in the author's classes were dimers, modeling tree growth, Magic squares and Pisano periods via finite fields Elementary number theory is exposed systematically (with complete proofs and good ones) An impressive collection of about 135 problems and 270 exercises (mostly with hints and answers) It contains a lot of history of mathematics and the games of chance, and many topics traditional in recreational mathematics The book also serves motivated high-school students, teachers of mathematics, and specialists in neighboring fields interested in combinatorics and its applications"--
Combinatorics Modeling Elementary Number Theory From Basic To Advanced
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Author : Ivan V Cherednik
language : en
Publisher: World Scientific
Release Date : 2023-05-03
Combinatorics Modeling Elementary Number Theory From Basic To Advanced written by Ivan V Cherednik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-03 with Mathematics categories.
This book is mostly based on the author's 25 years of teaching combinatorics to two distinct sets of students: first-year students and seniors from all backgrounds. The prerequisites are kept to a minimum; essentially, only high school algebra is required. The design is to go quickly from zero knowledge to advanced themes and various applications with a lot of topics intended for additional reading and research projects. It contains an all-inclusive collection of 135 problems and 275 exercises with four difficulty levels: solutions, hints and answers are provided.Some themes of the book:Enumerative combinatorics and basic graph theory: Introduction to dimers, tilings, magic and Latin squares, permutations, combinations, generating functions, games of chance, random walks, binomial and Poisson distributions. Catalan numbers, their generalizations and applications, including roulette and pricing derivatives. Euler and Hamiltonian paths, linear and planar graphs, labeled trees and other topics on graphs; many of them are presented as exercises.Modeling: Linear recurrence relations, Fibonacci rabbits, population growth, tree growth, epidemic spread and reinfections, resonances and nuclear reactors, predator-prey relationships and stopping times.Elementary number theory: Residues, finite fields, Pisano periods, quadratic reciprocity, Pell's equation, continued fractions, and Frobenius coin problem. Applications to cryptography, designs and magic squares, error-correcting codes and nonattacking queens.
Combinatorics Modeling Elementary Number Theory
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Author : Ivan Cherednik
language : en
Publisher: World Scientific Publishing Company
Release Date : 2023
Combinatorics Modeling Elementary Number Theory written by Ivan Cherednik and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Combinatorial analysis categories.
"A unique textbook devoted to introductory combinatorics, modeling and elementary number theory It is relatively simple to use in the classroom: 1 Chapter is designed for 2 weeks, and the notes can be provided designed for remote teaching or to display in the classroom Some of the advanced topics are good for research projects; the most popular ones in the author's classes were dimers, modeling tree growth, Magic squares and Pisano periods via finite fields Elementary number theory is exposed systematically (with complete proofs and good ones) An impressive collection of about 135 problems and 270 exercises (mostly with hints and answers) It contains a lot of history of mathematics and the games of chance, and many topics traditional in recreational mathematics The book also serves motivated high-school students, teachers of mathematics, and specialists in neighboring fields interested in combinatorics and its applications"--
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.
Undergraduate Catalog
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Author : University of Michigan--Dearborn
language : en
Publisher:
Release Date : 2006
Undergraduate Catalog written by University of Michigan--Dearborn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Universities and colleges categories.
Undergraduate Announcement
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Author : University of Michigan--Dearborn
language : en
Publisher:
Release Date : 1999
Undergraduate Announcement written by University of Michigan--Dearborn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Advanced Math Tricks Unlocking The Power Of Complex Mathematics
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Author : Deep
language : en
Publisher: BEYOND BOOKS HUB
Release Date : 2025-05-07
Advanced Math Tricks Unlocking The Power Of Complex Mathematics written by Deep and has been published by BEYOND BOOKS HUB this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-07 with Fiction categories.
“Advanced Math Tricks” introduces readers to a wide array of strategies for mastering complex mathematics. It builds upon basic arithmetic principles and opens up a treasure trove of mental math tricks designed to solve advanced equations and calculations quickly. Whether you're tackling algebra, geometry, or calculus, this guide offers step-by-step techniques for breaking down difficult problems into manageable tasks. With detailed examples and comprehensive explanations, this book is perfect for students looking to improve their math proficiency and efficiency.
University Of Michigan Official Publication
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Author : University of Michigan
language : en
Publisher: UM Libraries
Release Date : 1994
University Of Michigan Official Publication written by University of Michigan and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Education, Higher categories.
Each number is the catalogue of a specific school or college of the University.
Bulletin Mlsa
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Author : University of Michigan. College of Literature, Science, and the Arts
language : en
Publisher: UM Libraries
Release Date : 2007
Bulletin Mlsa written by University of Michigan. College of Literature, Science, and the Arts and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Lessons In Enumerative Combinatorics
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Author : Ömer Eğecioğlu
language : en
Publisher: Springer Nature
Release Date : 2021-05-13
Lessons In Enumerative Combinatorics written by Ömer Eğecioğlu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-13 with Mathematics categories.
This textbook introduces enumerative combinatorics through the framework of formal languages and bijections. By starting with elementary operations on words and languages, the authors paint an insightful, unified picture for readers entering the field. Numerous concrete examples and illustrative metaphors motivate the theory throughout, while the overall approach illuminates the important connections between discrete mathematics and theoretical computer science. Beginning with the basics of formal languages, the first chapter quickly establishes a common setting for modeling and counting classical combinatorial objects and constructing bijective proofs. From here, topics are modular and offer substantial flexibility when designing a course. Chapters on generating functions and partitions build further fundamental tools for enumeration and include applications such as a combinatorial proof of the Lagrange inversion formula. Connections to linear algebra emerge in chapters studying Cayley trees, determinantal formulas, and the combinatorics that lie behind the classical Cayley–Hamilton theorem. The remaining chapters range across the Inclusion-Exclusion Principle, graph theory and coloring, exponential structures, matching and distinct representatives, with each topic opening many doors to further study. Generous exercise sets complement all chapters, and miscellaneous sections explore additional applications. Lessons in Enumerative Combinatorics captures the authors' distinctive style and flair for introducing newcomers to combinatorics. The conversational yet rigorous presentation suits students in mathematics and computer science at the graduate, or advanced undergraduate level. Knowledge of single-variable calculus and the basics of discrete mathematics is assumed; familiarity with linear algebra will enhance the study of certain chapters.