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Discrete Mathematics for Computing by Peter Grossman
Title | Discrete Mathematics for Computing |
Author | Peter Grossman |
Publisher | Macmillan International Higher Education |
Release | 2008-12-16 |
Category | Computers |
Total Pages | 328 |
ISBN | 0230374050 |
Language | English, Spanish, and French |
Book Summary:
Discrete Mathematics for Computing presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. This new edition includes: • An expanded section on encryption • Additional examples of the ways in which theory can be applied to problems in computing • Many more exercises covering a range of levels, from the basic to the more advanced This book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. PETER GROSSMAN has worked in both MA26 and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for Computing students. He has also applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts. He lives and works in Melbourne, Australia.
Foundation Discrete Mathematics for Computing by DEXTER J. BOOTH
Title | Foundation Discrete Mathematics for Computing |
Author | DEXTER J. BOOTH |
Publisher | Springer |
Release | 2013-12-19 |
Category | Computers |
Total Pages | 306 |
ISBN | 1489971149 |
Language | English, Spanish, and French |
Book Summary:
Discrete Mathematics for Computing by Rod Haggarty
Title | Discrete Mathematics for Computing |
Author | Rod Haggarty |
Publisher | Editorial Dunken |
Release | 2002 |
Category | Computers |
Total Pages | 235 |
ISBN | 9780201730470 |
Language | English, Spanish, and French |
Book Summary:
This book is a concise introduction to the key mathematical ideas that underpin computer science, continually stressing the application of discrete mathematics to computing. It is suitable for students with little or no knowledge of mathematics, and covers the key concepts in a simple and straightforward way. The theoretical ideas are constantly reinforced by worked examples and each chapter concludes with a mini case study showing a particular application. This provides further motivation to the reader to engage with the mathematical ideas involved, as well as demonstrating how the mathematics can be applied within a computing context. The book also contains carefully selected exercises for which full worked solutions are provided.
Fundamentals of Discrete Math for Computer Science by Tom Jenkyns
Title | Fundamentals of Discrete Math for Computer Science |
Author | Tom Jenkyns |
Publisher | Springer Science & Business Media |
Release | 2012-10-16 |
Category | Computers |
Total Pages | 416 |
ISBN | 1447140699 |
Language | English, Spanish, and French |
Book Summary:
This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.
Discrete Mathematics for Computing by J. Ian Munro
Title | Discrete Mathematics for Computing |
Author | J. Ian Munro |
Publisher | Chapman and Hall/CRC |
Release | 1992-07 |
Category | Computers |
Total Pages | 306 |
ISBN | |
Language | English, Spanish, and French |
Book Summary:
DSP System Design presents the investigation of special type of IIR polyphase filter structures combined with frequency transformation techniques used for fast, multi-rate filtering, and their application for custom fixed-point implementation. Detailed theoretical analysis of the polyphase IIR structure has been presented for two and three coefficients in the two-path arrangement. This was then generalized for arbitrary filter order and any number of paths. The use of polyphase IIR structures in decimation and interpolation is being presented and performance assessed in terms of the number of calculations required for the given filter specification and the simplicity of implementation. Specimen decimation filter designs to be used in Sigma-Delta lowpass and bandpass A/D converters are presented which prove to outperform other traditional approaches. New frequency transformation types have been suggested for both real and complex situations. A new exact multi-point frequency transformation approach for arbitrary frequency choice has been suggested and evaluated. Applying such transformations to the existing filter allows to change their frequency response in an intuitive manner without the need of re-designing them, thus simplifying the designer's job when the specification changes during the prototyping and testing. A new bit-flipping' algorithm has been developed to aid in filter design where the coefficient word length is constraint. Also, the standard Downhill Simplex Method (floating-point) was modified to operate with the constrained coefficient word length. Performance of both these advances is being evaluated on a number of filter cases. Novel decimation and interpolation structures have been proposed, which can be implemented very efficiently. These allow an arbitrary order IIR anti-aliasing filter to operate at the lower rate of the decimator/interpolator. Similar structures for polyphase IIR decimator/interpolator structures are being discussed too. A new approach to digital filter design and implementation has been suggested which speeds-up silicon implementation of designs developed in Matlab. The Simulink block description is converted automatically into a bit-to-bit equivalent VHDL description. This in turn can be compiled, simulated, synthesized and fabricated without the need to go through the design process twice, first algorithmic/structural design and then the implementation. The book is full of design and analysis techniques. It contains sufficient introductory material enabling non-expert readers to understand the material given in it. DSP System Design may be of interest to graduate students, researchers, and professionals circuit designers, who would require fast and low-complexity digital filters for both single and multi-rate applications, especially those with low-power specification.
Discrete Mathematics for Computing by Andrew Vince
Title | Discrete Mathematics for Computing |
Author | Andrew Vince |
Publisher | Ellis Horwood Limited |
Release | 1990 |
Category | Computers |
Total Pages | 297 |
ISBN | |
Language | English, Spanish, and French |
Book Summary:
Discrete Mathematics for Computer Science by Gary Haggard
Title | Discrete Mathematics for Computer Science |
Author | Gary Haggard |
Publisher | Brooks/Cole Publishing Company |
Release | 2005 |
Category | Mathematics |
Total Pages | 600 |
ISBN | 9780534495015 |
Language | English, Spanish, and French |
Book Summary:
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.
Discrete Mathematics Using a Computer by Cordelia Hall
Title | Discrete Mathematics Using a Computer |
Author | Cordelia Hall |
Publisher | Springer Science & Business Media |
Release | 2013-04-17 |
Category | Mathematics |
Total Pages | 339 |
ISBN | 1447136578 |
Language | English, Spanish, and French |
Book Summary:
Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.
Discrete Mathematics by James L. Hein
Title | Discrete Mathematics |
Author | James L. Hein |
Publisher | Jones & Bartlett Learning |
Release | 2003 |
Category | Computers |
Total Pages | 731 |
ISBN | 9780763722104 |
Language | English, Spanish, and French |
Book Summary:
Winner at the 46th Annual New England Book Show (2003) in the "College Covers & Jackets" category This introduction to discrete mathematics prepares future computer scientists, engineers, and mathematicians for success by providing extensive and concentrated coverage of logic, functions, algorithmic analysis, and algebraic structures. Discrete Mathematics, Second Edition illustrates the relationships between key concepts through its thematic organization and provides a seamless transition between subjects. Distinct for the depth with which it covers logic, this text emphasizes problem solving and the application of theory as it carefully guides the reader from basic to more complex topics. Discrete Mathematics is an ideal resource for discovering the fundamentals of discrete math. Discrete Mathematics, Second Edition is designed for an introductory course in discrete mathematics for the prospective computer scientist, applied mathematician, or engineer who wants to learn how the ideas apply to computer sciences.The choice of topics-and the breadth of coverage-reflects the desire to provide students with the foundations needed to successfully complete courses at the upper division level in undergraduate computer science courses. This book differs in several ways from current books about discrete mathematics.It presents an elementary and unified introduction to a collection of topics that has not been available in a single source.A major feature of the book is the unification of the material so that it does not fragment into a collection of seemingly unrelated ideas.
Relations and Graphs by Gunther Schmidt
Title | Relations and Graphs |
Author | Gunther Schmidt |
Publisher | Springer |
Release | 2012-01-16 |
Category | Computers |
Total Pages | 301 |
ISBN | 9783642779701 |
Language | English, Spanish, and French |
Book Summary:
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.