Concise Computer Mathematics

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Concise Computer Mathematics

Author : Ovidiu Bagdasar
Publisher : Springer Science & Business Media
ISBN 13 : 3319017519
Total Pages : 115 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Concise Computer Mathematics by : Ovidiu Bagdasar

Download or read book Concise Computer Mathematics written by Ovidiu Bagdasar and published by Springer Science & Business Media. This book was released on 2013-10-28 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems.

Mathematics in Computing

Author : Gerard O’Regan
Publisher : Springer Nature
ISBN 13 : 3030342093
Total Pages : 468 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematics in Computing by : Gerard O’Regan

Download or read book Mathematics in Computing written by Gerard O’Regan and published by Springer Nature. This book was released on 2020-01-10 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of finite field theory to correct code and the role of number theory in cryptography, to the value of graph theory when modelling networks and the importance of formal methods for safety critical systems. This fully updated new edition has been expanded with a more comprehensive treatment of algorithms, logic, automata theory, model checking, software reliability and dependability, algebra, sequences and series, and mathematical induction. Topics and features: includes numerous pedagogical features, such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; describes the historical contributions of such prominent figures as Leibniz, Babbage, Boole, and von Neumann; introduces the fundamental mathematical concepts of sets, relations and functions, along with the basics of number theory, algebra, algorithms, and matrices; explores arithmetic and geometric sequences and series, mathematical induction and recursion, graph theory, computability and decidability, and automata theory; reviews the core issues of coding theory, language theory, software engineering, and software reliability, as well as formal methods and model checking; covers key topics on logic, from ancient Greek contributions to modern applications in AI, and discusses the nature of mathematical proof and theorem proving; presents a short introduction to probability and statistics, complex numbers and quaternions, and calculus. This engaging and easy-to-understand book will appeal to students of computer science wishing for an overview of the mathematics used in computing, and to mathematicians curious about how their subject is applied in the field of computer science. The book will also capture the interest of the motivated general reader.

Sets, Logic and Maths for Computing

Author : David Makinson
Publisher : Springer Science & Business Media
ISBN 13 : 1447125002
Total Pages : 302 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Sets, Logic and Maths for Computing by : David Makinson

Download or read book Sets, Logic and Maths for Computing written by David Makinson and published by Springer Science & Business Media. This book was released on 2012-02-27 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.

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.

Introduction To Computational Mathematics (2nd Edition)

Author : Xin-she Yang
Publisher : World Scientific Publishing Company
ISBN 13 : 9814635804
Total Pages : 342 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Introduction To Computational Mathematics (2nd Edition) by : Xin-she Yang

Download or read book Introduction To Computational Mathematics (2nd Edition) written by Xin-she Yang and published by World Scientific Publishing Company. This book was released on 2014-11-26 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.

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.

A Concise Approach to Mathematical Analysis

Author : Mangatiana A. Robdera
Publisher : Springer Science & Business Media
ISBN 13 : 0857293478
Total Pages : 370 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis A Concise Approach to Mathematical Analysis by : Mangatiana A. Robdera

Download or read book A Concise Approach to Mathematical Analysis written by Mangatiana A. Robdera and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces to undergraduates the more abstract concepts of advanced calculus, smoothing the transition from standard calculus to the more rigorous approach of proof writing and a deeper understanding of mathematical analysis. The first part deals with the basic foundation of analysis on the real line; the second part studies more abstract notions in mathematical analysis. Each topic contains a brief introduction and detailed examples.

Introductory Discrete Mathematics

Author : V. K . Balakrishnan
Publisher : Courier Corporation
ISBN 13 : 0486140385
Total Pages : 260 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introductory Discrete Mathematics by : V. K . Balakrishnan

Download or read book Introductory Discrete Mathematics written by V. K . Balakrishnan and published by Courier Corporation. This book was released on 2012-04-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Concise Numerical Mathematics

Author : Robert Plato
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834145
Total Pages : 476 pages
Book Rating : 4.8/5 (341 download)

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Book Synopsis Concise Numerical Mathematics by : Robert Plato

Download or read book Concise Numerical Mathematics written by Robert Plato and published by American Mathematical Soc.. This book was released on 2003 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is suitable as a text for a first course in numerical methods for mathematics students or students in neighboring fields, such as engineering, physics, and computer science. In general, the author assumes only a knowledge of calculus and linear algebra."--BOOK JACKET.

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

Handbook of Mathematics and Computational Science

Author : John W. Harris
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947464
Total Pages : 1064 pages
Book Rating : 4.9/5 (474 download)

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Book Synopsis Handbook of Mathematics and Computational Science by : John W. Harris

Download or read book Handbook of Mathematics and Computational Science written by John W. Harris and published by Springer Science & Business Media. This book was released on 1998-07-23 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

Computer Science

Author : Ian Sinclair
Publisher : Newnes
ISBN 13 : 1483104257
Total Pages : 187 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Computer Science by : Ian Sinclair

Download or read book Computer Science written by Ian Sinclair and published by Newnes. This book was released on 2014-05-15 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science: A Concise Introduction covers the fundamentals of computer science. The book describes micro-, mini-, and mainframe computers and their uses; the ranges and types of computers and peripherals currently available; applications to numerical computation; and commercial data processing and industrial control processes. The functions of data preparation, data control, computer operations, applications programming, systems analysis and design, database administration, and network control are also encompassed. The book then discusses batch, on-line, and real-time systems; the basic concepts of computer architecture; and the characteristics of main memory and backing storage. The main characteristics of common types of input, output, and input/output devices used in commercial computer applications and data transmission system are also considered. The book tackles the organization and accessing of serial, sequential, and indexed sequential file; file processing and management; and the concepts and functions of operating systems. The text describes on-line and off-line programming methods as well. Computer science students will find the book useful.

Mathematical Writing

Author : Donald E. Knuth
Publisher : Cambridge University Press
ISBN 13 : 9780883850633
Total Pages : 132 pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Mathematical Writing by : Donald E. Knuth

Download or read book Mathematical Writing written by Donald E. Knuth and published by Cambridge University Press. This book was released on 1989 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will help those wishing to teach a course in technical writing, or who wish to write themselves.

Math for Computer Applications

Author :
Publisher : Research & Education Assoc.
ISBN 13 : 9780878913145
Total Pages : 0 pages
Book Rating : 4.9/5 (131 download)

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Book Synopsis Math for Computer Applications by :

Download or read book Math for Computer Applications written by and published by Research & Education Assoc.. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Topics include logic, set theory, relations and functions, vectors and matrices, graph theory, counting and binomial theorem, probability, Boolean algebra, and linear programming and game theory.

Discrete Mathematics and Graph Theory

Author : K. Erciyes
Publisher : Springer Nature
ISBN 13 : 3030611159
Total Pages : 345 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Discrete Mathematics and Graph Theory by : K. Erciyes

Download or read book Discrete Mathematics and Graph Theory written by K. Erciyes and published by Springer Nature. This book was released on 2021-01-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.

A Concise Introduction to Mathematical Logic

Author : Wolfgang Rautenberg
Publisher : Springer
ISBN 13 : 1441912215
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Concise Introduction to Mathematical Logic by : Wolfgang Rautenberg

Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.