Mathematics and Computing 2013
Mathematics and Computing 2013

Author: Ram N. Mohapatra

Publisher: Springer

Published: 2014-08-22

Total Pages: 366

ISBN-13: 813221952X

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This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computer science are of vital importance to a broad range of communities, including mathematicians and computing professionals across different educational levels and disciplines.

Mathematics in Computing
Mathematics in Computing

Author: Gerard O’Regan

Publisher: Springer Nature

Published: 2020-01-10

Total Pages: 468

ISBN-13: 3030342093

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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 and Computation in Music
Mathematics and Computation in Music

Author: Jason Yust

Publisher: Springer

Published: 2013-06-05

Total Pages: 256

ISBN-13: 3642393578

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This book constitutes the thoroughly refereed proceedings of the Fourth International Conference on Mathematics and Computation in Music, MCM 2013, held in Montreal, Canada, in June 2013. The 18 papers presented were carefully reviewed and selected from numerous submissions. They are promoting the collaboration and exchange of ideas among researchers in music theory, mathematics, computer science, musicology, cognition and other related fields.

An Introduction to Modern Mathematical Computing
An Introduction to Modern Mathematical Computing

Author: Jonathan M. Borwein

Publisher: Springer Science & Business Media

Published: 2012-08-07

Total Pages: 237

ISBN-13: 1461442532

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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.

Numerical Mathematics and Computing
Numerical Mathematics and Computing

Author: Elliott Ward Cheney

Publisher: Thomson Brooks/Cole

Published: 2013

Total Pages: 678

ISBN-13: 9781133491811

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Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. NUMERICAL MATHEMATICS AND COMPUTING, 7E, International Edition also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors.

Foundation Mathematics for Computer Science
Foundation Mathematics for Computer Science

Author: John Vince

Publisher: Springer

Published: 2015-07-27

Total Pages: 341

ISBN-13: 3319214373

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John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

Mathematics and Computing
Mathematics and Computing

Author: Debasis Giri

Publisher: Springer

Published: 2017-04-14

Total Pages: 436

ISBN-13: 9811046425

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This book constitutes the proceedings of the Third International Conference on Mathematics and Computing, ICMC 2017, held in Haldia, India, in January 2017. The 35 papers presented in this volume were carefully reviewed and selected from 129 submissions. They were organized in topical sections named: security and privacy; computing; applied mathematics; and pure mathematics.

Modelling Computing Systems
Modelling Computing Systems

Author: Faron Moller

Publisher:

Published: 2013

Total Pages: 500

ISBN-13:

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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.

Foundations of Geometric Algebra Computing
Foundations of Geometric Algebra Computing

Author: Dietmar Hildenbrand

Publisher: Springer Science & Business Media

Published: 2012-12-31

Total Pages: 217

ISBN-13: 3642317944

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The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

Mathematics and Computing
Mathematics and Computing

Author: Sk. Md. Abu Nayeem

Publisher:

Published: 2013

Total Pages: 0

ISBN-13: 9788184873214

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Consists of sixteen articles chosen from different thrust areas of research on mathematics and computing. Fuzzy mathematics has now become a tool for reconstructing the foundation of several mathematical structures. Some articles in this volume concentrate on fuzzy aspects of analysis (statistical convergence of sequences) and algebra (H-ideals in BCK/ BCI algebras, and matrices over distributive lattices). An article on modern algebra, discussing on endomorphism rings of reduced modules, and another article on some convolution properties of analytic functions possessing fractional derivatives are also included. The environmental pollution issues in the frameworks of dynamical systems and of fuzzy mathematics are discussed in two articles. Some selected articles on fluid mechanics, solid mechanics and astrophysics are included here, as these are considered as some key components of computational and applied mathematics.