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Author : Guerino Mazzola,Gérard Milmeister,Jody Weissmann
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 48,9 Mb
Release : 2006-10-05
Category : Computers
ISBN : 9783540368748
Contains all the mathematics that computer scientists need to know in one place.
Author : Guerino Mazzola
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2004
Category : Computer science
ISBN : LCCN:2004102307
Author : Guerino Mazzola,Gérard Milmeister,Jody Weissmann
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 42,9 Mb
Release : 2004
Category : Computer science
ISBN : 3540208356
This two-volume textbook is a self-contained yet comprehensive presentation of mathematics. The numerous course examples are motivated by computer science and bear a generic scientific meaning. For the second edition the entire text has been carefully re-written. Many examples and illustrations have been added, and explanations have been clarified. This makes the book more accessible to both instructors and students.
Author : Guerino Mazzola,Gérard Milmeister,Jody Weissmann
Publisher : Springer
Page : 355 pages
File Size : 49,8 Mb
Release : 2006-03-30
Category : Computers
ISBN : 9783540269373
This second volume of a comprehensive tour through mathematical core subjects for computer scientists completes the ?rst volume in two - gards: Part III ?rst adds topology, di?erential, and integral calculus to the t- ics of sets, graphs, algebra, formal logic, machines, and linear geometry, of volume 1. With this spectrum of fundamentals in mathematical e- cation, young professionals should be able to successfully attack more involved subjects, which may be relevant to the computational sciences. In a second regard, the end of part III and part IV add a selection of more advanced topics. In view of the overwhelming variety of mathematical approaches in the computational sciences, any selection, even the most empirical, requires a methodological justi?cation. Our primary criterion has been the search for harmonization and optimization of thematic - versity and logical coherence. This is why we have, for instance, bundled such seemingly distant subjects as recursive constructions, ordinary d- ferential equations, and fractals under the unifying perspective of c- traction theory.
Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 51,7 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066
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.
Author : Ronald L. Graham,Donald E. Knuth,Oren Patashnik
Publisher : Addison-Wesley Professional
Page : 811 pages
File Size : 54,5 Mb
Release : 1994-02-28
Category : Computers
ISBN : 9780134389981
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.
Author : Clifford Stein,Robert L. Drysdale,Kenneth P. Bogart
Publisher : Unknown
Page : 525 pages
File Size : 49,6 Mb
Release : 2011
Category : Computer science
ISBN : 0131377108
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.
Author : Harry Lewis,Rachel Zax
Publisher : Princeton University Press
Page : 408 pages
File Size : 41,8 Mb
Release : 2019-03-19
Category : Computers
ISBN : 9780691179292
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.
Author : Guerino Mazzola
Publisher : Unknown
Page : 355 pages
File Size : 41,9 Mb
Release : 2005
Category : Computer science
ISBN : OCLC:953534613
Author : Michael Oberguggenberger,Alexander Ostermann
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 44,7 Mb
Release : 2011-03-19
Category : Computers
ISBN : 9780857294463
This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103356
This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.
Author : V. K . Balakrishnan
Publisher : Courier Corporation
Page : 260 pages
File Size : 54,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486140384
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.
Author : John Vince
Publisher : Springer
Page : 334 pages
File Size : 44,8 Mb
Release : 2015-07-27
Category : Computers
ISBN : 9783319214375
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.
Author : Gunther Schmidt,Thomas Ströhlein
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642779688
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.
Author : John Vince
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 41,6 Mb
Release : 2005-12-19
Category : Computers
ISBN : 9781846282836
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.
