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Author: Sharmistha Ghosh Publisher: John Wiley & Sons ISBN: 111989669X Category : Mathematics Languages : en Pages : 436
Book Description
MATHEMATICS AND COMPUTER SCIENCE This second volume in a new multi-volume set builds on the basic concepts and fundamentals laid out in the previous volume, presenting the reader with more advanced and cutting-edge topics being developed in this exciting field. This second volume in a new series from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. Building on what was presented in volume one, the chapters focus on more advanced topics in computer science, mathematics, and where the two intersect to create value for end users through practical applications. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.
Author: Sharmistha Ghosh Publisher: John Wiley & Sons ISBN: 111989669X Category : Mathematics Languages : en Pages : 436
Book Description
MATHEMATICS AND COMPUTER SCIENCE This second volume in a new multi-volume set builds on the basic concepts and fundamentals laid out in the previous volume, presenting the reader with more advanced and cutting-edge topics being developed in this exciting field. This second volume in a new series from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. Building on what was presented in volume one, the chapters focus on more advanced topics in computer science, mathematics, and where the two intersect to create value for end users through practical applications. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.
Author: Eric Lehman Publisher: ISBN: 9789888407064 Category : Business & Economics Languages : en Pages : 988
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.
Author: Judith L. Gersting Publisher: Macmillan ISBN: 9780716768647 Category : Mathematics Languages : en Pages : 830
Book Description
This edition offers a pedagogically rich and intuitive introduction to discrete mathematics structures. It meets the needs of computer science majors by being both comprehensive and accessible.
Author: Sharmistha Ghosh Publisher: John Wiley & Sons ISBN: 1119896320 Category : Mathematics Languages : en Pages : 436
Book Description
MATHEMATICS AND COMPUTER SCIENCE This second volume in a new multi-volume set builds on the basic concepts and fundamentals laid out in the previous volume, presenting the reader with more advanced and cutting-edge topics being developed in this exciting field. This second volume in a new series from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. Building on what was presented in volume one, the chapters focus on more advanced topics in computer science, mathematics, and where the two intersect to create value for end users through practical applications. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.
Author: Stanisław Krajewski Publisher: IOS Press ISBN: 9781586038144 Category : Mathematics Languages : en Pages : 380
Book Description
This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computational complexity theory. The editors would like to stress that this special publication celebrates a scientist who is still actively pursuing genuinely innovative directions of research. Quite recently, Andrzej Grzegorczyk gave a new proof of undecidability of the first order functional calculus. His proof does not use the arithmetization of Kurt Gödel. In recognition of his merits, the University of Clermont-Ferrand conferred to Professor Andrzej Grzegorczyk the Doctorat Honoris Causa. The work and life of Professor Andrzej Grzegorczyk is presented in the article by Professors Stanislaw Krajewski and Jan Wolenski. The papers in this collection have been submitted on invitational basis.
Author: Nirdosh Bhatnagar Publisher: CRC Press ISBN: 1351379119 Category : Computers Languages : en Pages : 512
Book Description
This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
Author: Wolfgang Schreiner Publisher: Springer Nature ISBN: 3031249348 Category : Computers Languages : en Pages : 278
Book Description
This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software.The presented domains are typically investigated in discrete mathematics, logic, algebra, and computer science; they are modeled in a formal language based on first-order logic which is sufficiently rich to express the core entities in whose correctness we are interested: mathematical theorems and algorithmic specifications. This formal language is the language of RISCAL, a “mathematical model checker” by which the validity of all formulas and the correctness of all algorithms can be automatically decided. The RISCAL software is freely available; all formal contents presented in the book are given in the form of specification files by which the reader may interact with the software while studying the corresponding book material.
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
Author: S. Abramsky Publisher: Springer Science & Business Media ISBN: 9783540539810 Category : Computers Languages : en Pages : 502
Book Description
TAPSOFT '91 is the Fourth International Joint Conference on Theory and Practice of Software Development. It was held in Brighton, April 8-12, 1991, and was organized by the Department of Computing, Imperial College, London. The proceedings of TAPSOFT '91 are organized into three parts: - Advances in Distributed Computing (ADC) - Colloquium on Trees in Algebra and Programming (CAAP) - Colloquium on Combining Paradigms for Software Development (CCPSD) The proceedings are published in two volumes. The first volume (LNCS, Vol. 493) contains the papers from CAAP. The second volume (LNCS, Vol. 494) contains the papers from the ADC and CCPSD. The ADC talks by distinguished invited speakers surveys current developments in distributed computing, including the integration of different paradigms for concurrency, algebraic, logical and operational foundations, and applications to software engineering and formal methods. The CCPSD papers address aspects of the trend in software enginering towards unification and synthesis combining theory and practice, and merging hitherto diverse approaches.
Author: Gregory Cherlin Publisher: Cambridge University Press ISBN: 1009229494 Category : Mathematics Languages : en Pages :
Book Description
This is the second of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.
Author: Sharmistha Ghosh
Author: Sharmistha Ghosh
Author: Eric Lehman
Author: Judith L. Gersting
Author: Sharmistha Ghosh
Author: Stanisław Krajewski
Author: Nirdosh Bhatnagar
Author: Wolfgang Schreiner
Author: SHAHNAZ BATHUL
Author: S. Abramsky
Author: Gregory Cherlin