Connections In Discrete Mathematics

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Connecting Discrete Mathematics And Computer Science

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Author : David Liben-Nowell
language : en
Publisher: Cambridge University Press
Release Date : 2022-08-04

Connecting Discrete Mathematics And Computer Science written by David Liben-Nowell 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 2022-08-04 with Computers categories.

An approachable textbook connecting the mathematical foundations of computer science to broad-ranging and compelling applications throughout the field.

Discrete Structures And Their Interactions

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Author : Jason I. Brown
language : en
Publisher: CRC Press
Release Date : 2013-06-24

Discrete Structures And Their Interactions written by Jason I. Brown and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-24 with Computers categories.

Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics.

Introduction To Discrete Mathematics Via Logic And Proof

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Author : Calvin Jongsma
language : en
Publisher: Springer
Release Date : 2019-12-25

Introduction To Discrete Mathematics Via Logic And Proof written by Calvin Jongsma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-25 with Mathematics categories.

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.

Lectures On Discrete Mathematics For Computer Science

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Author : Bakhadyr M Khoussainov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-03-21

Lectures On Discrete Mathematics For Computer Science written by Bakhadyr M Khoussainov 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 2012-03-21 with Mathematics categories.

This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students.The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science.Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.

Understanding Industrial Transformation

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Author : Xander Olsthoorn
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-13

Understanding Industrial Transformation written by Xander Olsthoorn 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 2006-01-13 with Business & Economics categories.

When facing momentous societal change, such as the transformation to a sustainable world, the sciences must impress their importance upon the public and convince scientific and policy institutions in order to obtain the means to carry out their mission. This book represents the first attempt to integrate disciplinary views on the topic of transformation towards sustainability.

Essays On Topology

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Author : Louis Funar
language : en
Publisher: Springer Nature
Release Date : 2025-07-21

Essays On Topology written by Louis Funar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-21 with Mathematics categories.

This book consists of a collection of articles dedicated to Valentin Poénaru, on topology and geometry in a broad sense. Poénaru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology.

Visions In Mathematics

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Author : Noga Alon
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-22

Visions In Mathematics written by Noga Alon 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 2011-04-22 with Mathematics categories.

"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.

The Mathematical Education Of Teachers

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Author : Conference Board of the Mathematical Sciences
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

The Mathematical Education Of Teachers written by Conference Board of the Mathematical Sciences and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.

A report on the state of current thinking on curriculum and policy issues affecting the mathematical education of teachers, with the goal of stimulating campus efforts to improve programs for prospective K-12 teachers. Its primary audience is members of the mathematics faculties and administrators at colleges and universities, but the report may also be of interest to math supervisors in school districts and state education departments, to education policy bodies at the state and national levels, and to accreditation and certification organizations. c. Book News Inc.

Discrete Mathematics In Statistical Physics

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Author : Martin Loebl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-16

Discrete Mathematics In Statistical Physics written by Martin Loebl 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 2010-02-16 with Science categories.

The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.

Connections

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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2001

Connections written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."