Mathematics of Discrete Structures for Computer Science PDF Download
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Author: Gordon J. Pace
Publisher: Springer Science & Business Media
ISBN: 3642298397
Category : Computers
Languages : en
Pages : 302
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Book Description
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.
Author: Gordon J. Pace
Publisher: Springer Science & Business Media
ISBN: 3642298397
Category : Computers
Languages : en
Pages : 302
Get Book Here
Book Description
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.
Author: C. Gordon Bell
Publisher: McGraw-Hill Companies
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 694
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Book Description
Author: K.J Bathe
Publisher: Elsevier
ISBN: 008052947X
Category : Technology & Engineering
Languages : en
Pages : 2485
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Book Description
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics.Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: - The automatic solution of mathematical models - Effective numerical schemes for fluid flows - The development of an effective mesh-free numerical solution method - The development of numerical procedures for multiphysics problems - The development of numerical procedures for multiscale problems - The modelling of uncertainties - The analysis of complete life cycles of systems - Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features - Bridges the gap between academic researchers and practitioners in industry - Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda - Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
Author: Judith L. Gersting
Publisher: Macmillan
ISBN: 9780716768647
Category : Mathematics
Languages : en
Pages : 830
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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: Stephen A. Ward
Publisher: MIT Press
ISBN: 9780262231398
Category : Computers
Languages : en
Pages : 826
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Book Description
Computer Systems Organization -- general.
Author: Joe Oswald
Publisher: Clanrye International
ISBN: 9781632407030
Category : Computers
Languages : en
Pages : 256
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Book Description
Data structure refers to the assimilation of data in a way so that it can be used efficiently. The important types of data structures are the record, the array, the table, the file, the tree, the class, the union, etc. Data structures are designed by using different intricate algorithms in any computer program. Algorithms are a sequence of actions used for data processing along with calculation and reasoning tasks. This book is compiled in such a manner, that it will provide in-depth knowledge about the theory and practice of data structures and algorithms with respect to computer science. It unfolds the innovative aspects of this subject, which will be crucial for the holistic understanding of this area. This textbook is an essential guide for both academicians and those who wish to pursue this discipline further.
Author: William Allan Wulf
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 648
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Book Description
Author: Robert Grossman
Publisher: Open Data Press
ISBN: 9781936298006
Category : Big data
Languages : en
Pages : 282
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Book Description
The Structure of Digital Computing takes a fifty year perspective on computing and discusses what is significant, what is novel, what endures, and why it is all so confusing. The book tries to balance two point of views: digital computing as viewed from a business perspective, where the focus is on marketing and selling, and digital computing from a research perspective, where the focus is on developing fundamentally new technology.
Author: Judith L. Gersting
Publisher: Macmillan Higher Education
ISBN: 1464193827
Category : Mathematics
Languages : en
Pages : 986
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Book Description
Judith Gerstings Mathematical Structures for Computer Science has long been acclaimed for its clear presentation of essential concepts and its exceptional range of applications relevant to computer science majors. Now with this new edition, it is the first discrete mathematics textbook revised to meet the proposed new ACM/IEEE standards for the course.
Author: Elmar Langetepe
Publisher: A K Peters/CRC Press
ISBN:
Category : Computers
Languages : en
Pages : 344
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Book Description
This book focuses on algorithms and geometric data structures that have proven to be versatile, efficient and fundamental. It endows practitioners in the computer graphics field with a working knowledge of a wide range of geometric data structures from computational geometry.
