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Mathematical Aspects of Computer Science

Mathematical Aspects of Computer Science PDF Author: Jacob T. Schwartz
Publisher: American Mathematical Soc.
ISBN: 9780821867280
Category :
Languages : en
Pages : 234

Book Description


Mathematical Aspects of Computer Science

Mathematical Aspects of Computer Science PDF Author: Jacob T. Schwartz
Publisher: American Mathematical Soc.
ISBN: 9780821867280
Category :
Languages : en
Pages : 234

Book Description


Mathematical Foundations of Computer Science

Mathematical Foundations of Computer Science PDF Author: Peter A. Fejer
Publisher: Springer Science & Business Media
ISBN: 1461230861
Category : Mathematics
Languages : en
Pages : 433

Book Description
Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.

Mathematics for Computer Science

Mathematics for Computer Science PDF Author: Eric Lehman
Publisher:
ISBN: 9781680921212
Category :
Languages : en
Pages : 1010

Book Description
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. The color images and text in this book have been converted to grayscale.

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE

MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE PDF Author: SHAHNAZ BATHUL
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120341570
Category :
Languages : en
Pages : 372

Book Description
This book provides the basic concepts and applications of discrete mathematics and graph theory. The book is aimed at undergraduate students of Computer Science and Engineering, and Information Technology. It is also suitable for undergraduate and postgraduate students of Computer Science, Mathematics and Computer Applications. The book exposes the students to fundamental knowledge in : Mathematical logic, tautology and normal forms Predicate logic, rules of inference and validity of arguments Elementary set theory, Venn diagrams, functions and their relations Algebraic structure, binary operation, group theory and homomorphism Theory of permutations and combinations, binomial and multinomial theorems Recurrence relations and methods of solving them Graph theory, spanning tree, Eulerian and Hamiltonian circuits and isomorphism

Discrete Mathematics for Computer Science

Discrete Mathematics for Computer Science PDF Author: Jon Pierre Fortney
Publisher: CRC Press
ISBN: 1000296644
Category : Mathematics
Languages : en
Pages : 272

Book Description
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.

Applications of Continuous Mathematics to Computer Science

Applications of Continuous Mathematics to Computer Science PDF Author: Hung T. Nguyen
Publisher: Springer Science & Business Media
ISBN: 9780792347224
Category : Mathematics
Languages : en
Pages : 440

Book Description
This volume is intended to be used as a textbook for a special topic course in computer science. It addresses contemporary research topics of interest such as intelligent control, genetic algorithms, neural networks, optimization techniques, expert systems, fractals, and computer vision. The work incorporates many new research ideas, and focuses on the role of continuous mathematics. Audience: This book will be valuable to graduate students interested in theoretical computer topics, algorithms, expert systems, neural networks, and software engineering.

Concrete Mathematics

Concrete Mathematics PDF Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN: 0134389980
Category : Computers
Languages : en
Pages : 811

Book Description
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.

Combinatorics for Computer Science

Combinatorics for Computer Science PDF Author: Stanley Gill Williamson
Publisher: Courier Corporation
ISBN: 9780486420769
Category : Mathematics
Languages : en
Pages : 548

Book Description
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.

Developments in Theoretical Computer Science

Developments in Theoretical Computer Science PDF Author: J. Dassow
Publisher: CRC Press
ISBN: 9782881249617
Category : Mathematics
Languages : en
Pages : 290

Book Description


Mathematics and Computer Science

Mathematics and Computer Science PDF Author: Daniele Gardy
Publisher: Birkhäuser
ISBN: 3034884052
Category : Mathematics
Languages : en
Pages : 337

Book Description
This is the first book where mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep mathematical approaches. It contains a collection of refereed papers presented at the Colloquium on Mathematics and Computer Science held at the University of Versailles-St-Quentin on September 18-20, 2000. The colloquium was a meeting place for researchers in mathematics and computer science and thus an important opportunity to exchange ideas and points of view, and to present new approaches and new results in the common areas such as algorithms analysis, trees, combinatorics, optimization, performance evaluation and probabilities. The book is intended for a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers. It provides an overview of the current questions in computer science and related modern mathematical methods. The range of applications is very wide and reaches beyond computer science.