Mathematics In Computing

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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.

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.

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 Future Computing and Communications

Author : Liao Heng
Publisher : Cambridge University Press
ISBN 13 : 1316513580
Total Pages : 399 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Mathematics for Future Computing and Communications by : Liao Heng

Download or read book Mathematics for Future Computing and Communications written by Liao Heng and published by Cambridge University Press. This book was released on 2021-12-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panorama of new ideas in mathematics that are driving innovation in computing and communications.

Discrete Mathematics and Computing

Author : Malik Magdon-Ismail
Publisher :
ISBN 13 : 9780578567877
Total Pages : pages
Book Rating : 4.5/5 (678 download)

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Book Synopsis Discrete Mathematics and Computing by : Malik Magdon-Ismail

Download or read book Discrete Mathematics and Computing written by Malik Magdon-Ismail and published by . This book was released on 2019-12-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a semester course in the basic mathematical and theoretical foundations of computer science. Students who make heavy use of computing should learn these foundations well, setting a base for a follow-on course in algorithms. A solid theoretical and algorithmic foundation in computer science sets the stage for developing good programs, programs that work, always and efficiently.Each chapter is a lecture that has been taught as such. Part I starts with basic logic, proofs and discrete mathematics, including: induction, recursion, summation, asymptotics and number theory. We then continue with graphs, counting and combinatorics, and wrap up the coverage of discrete mathematics with discrete probability. Part II presents the blockbuster application of discrete mathematics: the digital computer and a theory of computing. The goal is to understand what a computer can and cannot do. We start small, with automata, and end big with Turing Machines.Our approach is Socratic. The reader is encouraged to participate actively in the learning process by doing the quizzes and exercises that are liberally sprinkled through the text. The pace and level is appropriate for readers with one year of training in programming and calculus (college sophomores).

Mathematical Computing

Author : David Betounes
Publisher : Springer Science & Business Media
ISBN 13 : 1461300673
Total Pages : 419 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Computing by : David Betounes

Download or read book Mathematical Computing written by David Betounes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.

Mathematics for Computing

Author : C. A. Whitehead
Publisher :
ISBN 13 : 9780718710538
Total Pages : 66 pages
Book Rating : 4.7/5 (15 download)

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Book Synopsis Mathematics for Computing by : C. A. Whitehead

Download or read book Mathematics for Computing written by C. A. Whitehead and published by . This book was released on 1992-01-01 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Modern Mathematical Computing

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1461442532
Total Pages : 237 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis An Introduction to Modern Mathematical Computing by : Jonathan M. Borwein

Download or read book An Introduction to Modern Mathematical Computing written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Mathematics for Electrical Engineering and Computing

Author : Mary P Attenborough
Publisher : Elsevier
ISBN 13 : 0080473407
Total Pages : 563 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematics for Electrical Engineering and Computing by : Mary P Attenborough

Download or read book Mathematics for Electrical Engineering and Computing written by Mary P Attenborough and published by Elsevier. This book was released on 2003-06-30 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems - particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering - set theory, predicate and prepositional calculus, language and graph theory - is fully integrated into the book.Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to real-world engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.Dr Attenborough is a former Senior Lecturer in the School of Electrical, Electronic and Information Engineering at South Bank University. She is currently Technical Director of The Webbery - Internet development company, Co. Donegal, Ireland. - Fundamental principles of mathematics introduced and applied in engineering practice, reinforced through over 300 examples directly relevant to real-world engineering

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

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.

Mathematical Principles for Scientific Computing and Visualization

Author : Gerald Farin
Publisher : CRC Press
ISBN 13 : 1439865043
Total Pages : 286 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Principles for Scientific Computing and Visualization by : Gerald Farin

Download or read book Mathematical Principles for Scientific Computing and Visualization written by Gerald Farin and published by CRC Press. This book was released on 2008-10-21 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coo

Discrete Mathematics for Computing

Author : Peter Grossman
Publisher :
ISBN 13 : 9780333981115
Total Pages : 301 pages
Book Rating : 4.9/5 (811 download)

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Book Synopsis Discrete Mathematics for Computing by : Peter Grossman

Download or read book Discrete Mathematics for Computing written by Peter Grossman and published by . This book was released on 2002-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with a clear and informal style Discrete Mathematics for Computing is aimed at first year undergraduate computing students with very little mathematical background. It is a low-level introductory text which takes the topics at a gentle pace, covering all the essential material that forms the background for studies in computing and information systems. This edition includes new sections on proof methods and recurrences, and the examples have been updated throughout to reflect the changes in computing since the first edition.

Maths for Computing and Information Technology

Author : Frank Giannasi
Publisher : Addison-Wesley Longman
ISBN 13 : 9780582236547
Total Pages : 259 pages
Book Rating : 4.2/5 (365 download)

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Book Synopsis Maths for Computing and Information Technology by : Frank Giannasi

Download or read book Maths for Computing and Information Technology written by Frank Giannasi and published by Addison-Wesley Longman. This book was released on 1995-01 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Essential Maths for Students series provides the fundamental mathematical and statistical techniques required by students entering Higher Education in a wide range of courses. Reflecting the needs of both student and lecturer, each text assumes little previous knowledge and is designed to raise the reader's proficiency to the level required by today's courses. Maths for Computing and Information Technology provides a solid introductory grounding in the maths required for modules or courses in computer science and information technology. Through worked examples, highlighted key points and self-assessment questions, the book explains essential mathematical ideas and applies them to the I.T. field. Topics covered include propositional and predicate calculus, matrices, sets, mathematical proofs, probability, co-ordinate geometry and finite state automata.

Modelling Computing Systems

Author : Faron Moller
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Modelling Computing Systems by : Faron Moller

Download or read book Modelling Computing Systems written by Faron Moller and published by . This book was released on 2013 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title explores concepts of games and strategies to provide a paradigm for understanding the nature of computation and provides an elementary introduction to the mathematics and modelling of computing systems through exercises and examples, giving readers the opportunities to test their understanding and broaden their knowledge.

Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators

Author : Alexei Volkov
Publisher : Springer
ISBN 13 : 3319733966
Total Pages : 464 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators by : Alexei Volkov

Download or read book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators written by Alexei Volkov and published by Springer. This book was released on 2019-01-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.

Mathematics of Quantum Computing

Author : Wolfgang Scherer
Publisher : Springer Nature
ISBN 13 : 3030123588
Total Pages : 773 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematics of Quantum Computing by : Wolfgang Scherer

Download or read book Mathematics of Quantum Computing written by Wolfgang Scherer and published by Springer Nature. This book was released on 2019-11-13 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.