A Brief Journey In Discrete Mathematics
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A Brief Journey In Discrete Mathematics
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Author : Randolph Nelson
language : en
Publisher: Springer Nature
Release Date : 2020-02-11
A Brief Journey In Discrete Mathematics written by Randolph Nelson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-11 with Mathematics categories.
The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics. In each chapter, properties are explored through a series of straightforward questions that terminate with results that lie at the doorstep of a field of study. Each step along the way is elementary and requires only algebraic manipulation. This frames the wonder of mathematics and highlights the complex world that lies behind a series of simple, mathematical, deductions. Topics addressed include combinatorics, unifying properties of symmetric functions, the Golden ratio as it leads to k-bonacci numbers, non-intuitive and surprising results found in a simple coin tossing game, the playful, trick question aspect of modular systems, exploration of basic properties of prime numbers and derivations of bewildering results that arise from approximating irrational numbers as continued fraction expansions. The Appendix contains the basic tools of mathematics that are used in the text along with a numerous list of identities that are derived in the body of the book. The mathematics in the book is derived from first principles. On only one occasion does it rely on a result not derived within the text. Since the book does not require calculus or advanced techniques, it should be accessible to advanced high school students and undergraduates in math or computer science. Senior mathematicians might be unfamiliar with some of the topics addressed in its pages or find interest in the book's unified approach to discrete math.
Logic And Discrete Mathematics
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Author : Willem Conradie
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-08
Logic And Discrete Mathematics written by Willem Conradie and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-08 with Mathematics categories.
Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.
Discrete Mathematics With Proof
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Author : Eric Gossett
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-22
Discrete Mathematics With Proof written by Eric Gossett and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-22 with Mathematics categories.
A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.
Computational Discrete Mathematics
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Author : Sriram Pemmaraju
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-08
Computational Discrete Mathematics written by Sriram Pemmaraju 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 2003-12-08 with Computers categories.
This definitive reference on Combinatorica contains examples of all 450 functions plus tutorial text.
Discrete Mathematics
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Author : Norman Biggs
language : en
Publisher: Oxford University Press
Release Date : 2002-12-19
Discrete Mathematics written by Norman Biggs and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-19 with Computers categories.
Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.
Qualitative Computing
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Author : Françoise Chatelin
language : en
Publisher: World Scientific
Release Date : 2012
Qualitative Computing written by Françoise Chatelin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Introduction to Qualitative Computing; Hypercomputation in Dickson Algebras; Scales of Complexity and Linear Reachability; Singular Values for the Multiplication Maps; Computation Beyond Classical Logic; Complexification of the Arithmetic; Homotopic Deviation in Linear Algebra; The Discrete and the Continuous; Arithmetic in the Alternative Dickson Division Algebras; The Real and the Complex.
The Cube A Window To Convex And Discrete Geometry
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Author : Chuanming Zong
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-02
The Cube A Window To Convex And Discrete Geometry written by Chuanming Zong 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 2006-02-02 with Mathematics categories.
Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.
Discrete Mathematics
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Author : Rowan Garnier
language : en
Publisher: CRC Press
Release Date : 1992-05-01
Discrete Mathematics written by Rowan Garnier and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-01 with Technology & Engineering categories.
In a comprehensive yet easy-to-follow manner, Discrete Mathematics for New Technology follows the progression from the basic mathematical concepts covered by the GCSE in the UK and by high-school algebra in the USA to the more sophisticated mathematical concepts examined in the latter stages of the book. The book punctuates the rigorous treatment of theory with frequent uses of pertinent examples and exercises, enabling readers to achieve a feel for the subject at hand. The exercise hints and solutions are provided at the end of the book. Topics covered include logic and the nature of mathematical proof, set theory, relations and functions, matrices and systems of linear equations, algebraic structures, Boolean algebras, and a thorough treatise on graph theory. Although aimed primarily at computer science students, the structured development of the mathematics enables this text to be used by undergraduate mathematicians, scientists, and others who require an understanding of discrete mathematics.
Mathematical Journeys Exploring The Language Of Numbers
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Mathematical Journeys Exploring The Language Of Numbers 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 with Mathematics categories.
In this captivating book, we invite you to embark on a thrilling adventure through the fascinating realm of mathematics. From the basic foundations of number systems to advanced concepts like calculus and mathematical proofs, this book will take you on a journey that will transform the way you see the world. Mathematics is not just a subject; it is a language that allows us to understand and describe the patterns and structures that exist in our universe. Whether you are a student looking to deepen your understanding of mathematics or a curious individual seeking to explore the wonders of numbers, this book is for you. Throughout the pages of Mathematical Journeys, you will delve into various branches of mathematics, each offering a unique exploration of its topic. From algebraic equations to geometric wonders, from trigonometric adventures to the intricacies of calculus, you will be guided through the concepts and applications that make mathematics such a powerful tool. But this book is not just about formulas and equations. It is about the stories and connections that mathematics weaves together. As you journey through the chapters, you will encounter real-world examples, historical anecdotes, and thought-provoking puzzles that will deepen your appreciation for the power and beauty of mathematics. Whether you are a beginner or have some prior knowledge of mathematics, Mathematical Journeys is designed to be accessible and engaging. The concepts are explained in a clear and concise manner, using everyday language and relatable examples to make the material come alive. So, join us on this mathematical adventure and unlock the secrets of the language of numbers. Let Mathematical Journeys be your guide as you explore the wonders of mathematics and discover the joy of problem-solving, critical thinking, and the elegance of mathematical reasoning. Are you ready to embark on this extraordinary journey? Let the exploration begin!
Discrete Mathematics And Its Applications
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Author : Kenneth H. Rosen
language : en
Publisher: McGraw-Hill
Release Date : 2018-05
Discrete Mathematics And Its Applications written by Kenneth H. Rosen and has been published by McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05 with Computer science categories.
A precise, relevant, comprehensive approach to mathematical concepts...