Author: Judith L. Gersting

Publisher: W. H. Freeman

ISBN:

Category: Mathematics

Page: 784

View: 631

Judith Gersting's Mathematical Structures for Computer Science has long been acclaimed for its clear presentation of essential concepts and its exceptional range of applications relevant to computer science majors. Now with this new edition, it is the first discrete mathematics textbook revised to meet the proposed new ACM/IEEE standards for the course.

Author: Bernard Kolman

Publisher: Prentice Hall

ISBN:

Category: Mathematics

Page: 464

View: 528

Author: Judith L. Gersting

Publisher:

ISBN:

Category: Computer science

Page: 452

View: 775

Computing Curricula 2001 (CC2001), a joint undertaking of the Institute for Electrical and Electronic Engineers/Computer Society (IEEE/CS) and the Association for Computing Machinery (ACM), identifies the essential material for an undergraduate degree in computer science. This Sixth Edition of "Mathematical Structures for Computer Science" covers all the topics in the CC2001 suggested curriculum for a one-semester intensive discrete structures course, and virtually everything suggested for a two-semester version of a discrete structures course. Gersting's text binds together what otherwise appears to be a collection of disjointed topics by emphasizing the following themes: - Importance of logical thinking- Power of mathematical notation- Usefulness of abstractions

Author: Ronald E. Prather

Publisher:

ISBN:

Category: Algebra, Abstract

Page: 549

View: 565

Author: Steven J. Janke

Publisher: John Wiley & Sons

ISBN:

Category: Computers

Page: 408

View: 209

A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes. Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes: Numerous examples of two- and three-dimensional techniques along with numerical calculations Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images.

Author: Jean-Paul Tremblay

Publisher:

ISBN:

Category: Electronic data processing

Page: 606

View: 528

Author: Bernard Kolman

Publisher:

ISBN:

Category: Computer science

Page: 154

View: 845

Author: Gersting

Publisher:

ISBN:

Category: Education

Page: 119

View: 233

Author: M. K. Das

Publisher: Alpha Science International Limited

ISBN:

Category: Mathematics

Page: 538

View: 224

'Discrete Mathematical Structures' provides an introductory mathematical foundation for further advanced study in data structures, algorithms, compilers and theory of computation.

Author: M Barr

Publisher:

ISBN:

Category: Computer science

Page:

View: 598

Author: Joachim Lambek

Publisher:

ISBN:

Category:

Page: 215

View: 583

Author: Judith L. Gersting

Publisher:

ISBN:

Category: Mathematics

Page: 104

View: 330

Author: Gordon J. Pace

Publisher: Springer Science & Business Media

ISBN:

Category: Computers

Page: 296

View: 694

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.

Author: Judith L. Gersting

Publisher:

ISBN:

Category: Computer science

Page: 200

View: 829

Author: Margarita Carmen S. Paterno

Publisher:

ISBN:

Category:

Page: 202

View: 450

Author: Gordon J. Pace

Publisher: Springer Science & Business Media

ISBN:

Category: Computers

Page: 296

View: 433

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.

Author: Bernard Kolman

Publisher: Prentice Hall

ISBN:

Category: Computers

Page: 503

View: 180

Combining a careful selection of topics with coverage of theirgenuineapplications in computer science, this book, more than any other in this field, is clearly and concisely written, presenting the basic ideas of discrete mathematical structures in a manner that is understandable.Limiting its scope and depth of topics to those that readers can actually utilize, this book covers first the fundamentals, then follows with logic, counting, relations and digraphs, functions, order relations and structures, trees, graph theory, semigroups and groups, languages and finite-state machines, and groups and coding.With its comprehensive appendices and index, this book can be an excellent reference work for mathematicians and those in the field of computer science.

Author:

Publisher:

ISBN:

Category:

Page: 156

View: 189

Author: S. Abramsky

Publisher: Oxford University Press, USA

ISBN:

Category: Mathematics

Page: 840

View: 277

This Handbook is a combination of authoritative exposition, comprehensive survey, and fundamental research exploring the underlying unifying themes in the various areas. The intended audience is graduate students and researchers in the areas of computing and logic, as well as other people interested in the subject. We assume as background some mathematical sophistication. Much of the material will also be of interest to logicians and mathematicians.

Author: Bernard Kolman

Publisher:

ISBN:

Category: Computer science

Page: 505

View: 182

For one/two-term, freshman/sophomore-level courses in Discrete Mathematics. More than any other book in the field, this text ties together discrete topics with a theme. Written at an appropriate level of rigor with a strong pedagogical focus it limits depth of coverage and areas covered to topics of genuine use in computer science. An emphasis on both basic theory and applications provides students with a firm foundation for more advanced courses.