Mathematics For Computer Scientists

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Mathematics for Computer Science

Author : Eric Lehman
Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Discrete Mathematics for Computer Scientists

Author : Clifford Stein
Publisher :
ISBN 13 : 9780131377103
Total Pages : 525 pages
Book Rating : 4.3/5 (771 download)

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Book Synopsis Discrete Mathematics for Computer Scientists by : Clifford Stein

Download or read book Discrete Mathematics for Computer Scientists written by Clifford Stein and published by . This book was released on 2011 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stein/Drysdale/Bogart's Discrete Mathematics for Computer Scientists is ideal for computer science students taking the discrete math course. Written specifically for computer science students, this unique textbook directly addresses their needs by providing a foundation in discrete math while using motivating, relevant CS applications. This text takes an active-learning approach where activities are presented as exercises and the material is then fleshed out through explanations and extensions of the exercises.

Discrete Mathematics for Computer Science

Author : Jon Pierre Fortney
Publisher : CRC Press
ISBN 13 : 1000296644
Total Pages : 272 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Jon Pierre Fortney

Download or read book Discrete Mathematics for Computer Science written by Jon Pierre Fortney and published by CRC Press. This book was released on 2020-12-23 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features Designed to be especially useful for courses at the community-college level Ideal as a first- or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background, and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode Includes an appendix on basic circuit design which provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers Jon Pierre Fortney graduated from the University of Pennsylvania in 1996 with a BA in Mathematics and Actuarial Science and a BSE in Chemical Engineering. Prior to returning to graduate school, he worked as both an environmental engineer and as an actuarial analyst. He graduated from Arizona State University in 2008 with a PhD in Mathematics, specializing in Geometric Mechanics. Since 2012, he has worked at Zayed University in Dubai. This is his second mathematics textbook.

Basic Category Theory for Computer Scientists

Author : Benjamin C. Pierce
Publisher : MIT Press
ISBN 13 : 0262326450
Total Pages : 117 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce

Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Relations and Graphs

Author : Gunther Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3642779689
Total Pages : 312 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Relations and Graphs by : Gunther Schmidt

Download or read book Relations and Graphs written by Gunther Schmidt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.

Essential Discrete Mathematics for Computer Science

Author : Harry Lewis
Publisher : Princeton University Press
ISBN 13 : 0691179298
Total Pages : 408 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Essential Discrete Mathematics for Computer Science by : Harry Lewis

Download or read book Essential Discrete Mathematics for Computer Science written by Harry Lewis and published by Princeton University Press. This book was released on 2019-03-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises.

Comprehensive Mathematics for Computer Scientists 1

Author : Guerino Mazzola
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis Comprehensive Mathematics for Computer Scientists 1 by : Guerino Mazzola

Download or read book Comprehensive Mathematics for Computer Scientists 1 written by Guerino Mazzola and published by Springer Science & Business Media. This book was released on 2006-09-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains all the mathematics that computer scientists need to know in one place.

Logic for Mathematics and Computer Science

Author : Stanley Burris
Publisher : Upper Saddle River, N.J. : Prentice Hall
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Logic for Mathematics and Computer Science by : Stanley Burris

Download or read book Logic for Mathematics and Computer Science written by Stanley Burris and published by Upper Saddle River, N.J. : Prentice Hall. This book was released on 1998 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for one semester courses in Logic, it can also be applied to a two semester course, in either Computer Science or Mathematics Departments. Unlike other texts on mathematical logic that are either too advanced, too sparse in examples or exercises, too traditional in coverage, or too philosophical in approach, this text provides an elementary "hands-on" presentation of important mathematical logic topics, new and old, that is readily accessible and relevant to all students of the mathematical sciences -- not just those in traditional pure mathematics.

Essential Discrete Mathematics for Computer Science

Author : Todd Feil
Publisher :
ISBN 13 : 9780130186614
Total Pages : 0 pages
Book Rating : 4.1/5 (866 download)

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Book Synopsis Essential Discrete Mathematics for Computer Science by : Todd Feil

Download or read book Essential Discrete Mathematics for Computer Science written by Todd Feil and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to the mathematics of computer science and prepares them for the math they will encounter in other college courses. It includes applications that are specific to computer science, helps learners to develop reasoning skills, and provides the fundamental mathematics necessary for computer scientists. Chapter topics include sets, functions and relations, Boolean algebra, natural numbers and induction, number theory, recursion, solving recurrences, counting, matrices, and graphs. For computer scientists and the enhancement of programming skills.

Mathematics for Computer Graphics

Author : John Vince
Publisher : Springer Science & Business Media
ISBN 13 : 1846282837
Total Pages : 251 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Mathematics for Computer Graphics by : John Vince

Download or read book Mathematics for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.

Mathematics of Discrete Structures for Computer Science

Author : Gordon J. Pace
Publisher : Springer Science & Business Media
ISBN 13 : 3642298397
Total Pages : 302 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematics of Discrete Structures for Computer Science by : Gordon J. Pace

Download or read book Mathematics of Discrete Structures for Computer Science written by Gordon J. Pace and published by Springer Science & Business Media. This book was released on 2012-07-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.

Combinatorics for Computer Science

Author : Stanley Gill Williamson
Publisher : Courier Corporation
ISBN 13 : 9780486420769
Total Pages : 548 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis Combinatorics for Computer Science by : Stanley Gill Williamson

Download or read book Combinatorics for Computer Science written by Stanley Gill Williamson and published by Courier Corporation. This book was released on 2002-01-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Invaluable practical resource for graduate students, advanced undergraduates, and professionals with an interest in algorithm design and other aspects of computer science and combinatorics. References for Linear Order & for Graphs, Trees, and Recursions. 219 figures.

Connecting Discrete Mathematics and Computer Science

Author : David Liben-Nowell
Publisher : Cambridge University Press
ISBN 13 : 1009174746
Total Pages : 694 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Connecting Discrete Mathematics and Computer Science by : David Liben-Nowell

Download or read book Connecting Discrete Mathematics and Computer Science written by David Liben-Nowell and published by Cambridge University Press. This book was released on 2022-08-04 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science majors taking a non-programming-based course like discrete mathematics might ask 'Why do I need to learn this?' Written with these students in mind, this text introduces the mathematical foundations of computer science by providing a comprehensive treatment of standard technical topics while simultaneously illustrating some of the broad-ranging applications of that material throughout the field. Chapters on core topics from discrete structures – like logic, proofs, number theory, counting, probability, graphs – are augmented with around 60 'computer science connections' pages introducing their applications: for example, game trees (logic), triangulation of scenes in computer graphics (induction), the Enigma machine (counting), algorithmic bias (relations), differential privacy (probability), and paired kidney transplants (graphs). Pedagogical features include 'Why You Might Care' sections, quick-reference chapter guides and key terms and results summaries, problem-solving and writing tips, 'Taking it Further' asides with more technical details, and around 1700 exercises, 435 worked examples, and 480 figures.

Foundation Mathematics for Computer Science

Author : John Vince
Publisher : Springer
ISBN 13 : 3319214373
Total Pages : 334 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Foundation Mathematics for Computer Science by : John Vince

Download or read book Foundation Mathematics for Computer Science written by John Vince and published by Springer. This book was released on 2015-07-27 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

Discrete Mathematics for Computer Science

Author : David Liben-Nowell
Publisher : Wiley
ISBN 13 : 9781118065532
Total Pages : 0 pages
Book Rating : 4.0/5 (655 download)

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Book Synopsis Discrete Mathematics for Computer Science by : David Liben-Nowell

Download or read book Discrete Mathematics for Computer Science written by David Liben-Nowell and published by Wiley. This book was released on 2017-09-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written exclusively with computer science students in mind, Discrete Mathematics for Computer Science provides a comprehensive treatment of standard course topics for the introductory discrete mathematics course with a strong emphasis on the relationship between the concepts and their application to computer science. The book has been crafted to enhance teaching and learning ease and includes a wide selection of exercises, detailed exploration problems, examples and problems inspired by wide-ranging applications of computer science and handy quick reference guides for key technical topics throughout. Discrete Mathematics for Computer Science provides a lucidly written introduction to discrete mathematics with abundant support for learning, including over 450 examples, thorough chapter summaries, simple quizzes, and approximately 1600 homework exercises of widely varying difficulty. Each chapter begins with motivational content that relates the chapter topic to computer science practice and the book also includes over fifty "Computer Science Connections" which discuss applications to computer science such as Rotation Matrices; Game Trees, Logic, and Winning Tic-Tac(-Toe); Moore's Law; Secret Sharing; The Enigma Machine and the First Computer; Bayesian Modeling and Spam Filtering; and Quantum Computing.

Discrete Mathematics for Computer Science

Author : Gary Haggard
Publisher : Cengage Learning
ISBN 13 : 9780534495015
Total Pages : 0 pages
Book Rating : 4.4/5 (95 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Gary Haggard

Download or read book Discrete Mathematics for Computer Science written by Gary Haggard and published by Cengage Learning. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.