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Derivation and Computation

Derivation and Computation
Author: H. Simmons
Publisher: Cambridge University Press
Total Pages: 414
Release: 2000-05-18
Genre: Computers
ISBN: 9780521771733

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An introduction to simple type theory, containing 200 exercises with complete solutions.


Programming

Programming
Author: Anne Kaldewaij
Publisher:
Total Pages: 216
Release: 1990-01
Genre: Computers
ISBN: 9780132041089

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Programming is the art of designing efficient algorithms that meet their specifications. There are two factors by which algorithms may be judged - their correctness and their performance. This text discusses the calculational style of programming where programs are derived from their specification by means of formula manipulation.


Mathematics and Computation

Mathematics and Computation
Author: Avi Wigderson
Publisher: Princeton University Press
Total Pages: 434
Release: 2019-10-29
Genre: Computers
ISBN: 0691189137

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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


Simple Theorems, Proofs, and Derivations in Quantum Chemistry

Simple Theorems, Proofs, and Derivations in Quantum Chemistry
Author: Istvan Mayer
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2013-04-17
Genre: Science
ISBN: 1475765193

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Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.


Computer - Human Interaction in Symbolic Computation

Computer - Human Interaction in Symbolic Computation
Author: Norbert Kajler
Publisher: Springer Science & Business Media
Total Pages: 222
Release: 2012-12-06
Genre: Computers
ISBN: 3709164613

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The well attended March 1994 HIse workshop in Amsterdam was a very lively con ference which stimulated much discussion and human-human interaction. As the editor of this volume points out, the Amsterdam meeting was just part of a year-long project that brought many people together from many parts of the world. The value of the effort was not only in generating new ideas, but in making people aware of work that has gone on on many fronts in using computers to make mathematics more understandable. The author was very glad he attended the workshop. * In thinking back over the conference and in reading the papers in this collection, the author feels there are perhaps four major conclusions to be drawn from the current state of work: 1. graphics is very important, but such features should be made as easy to use as possible; 2. symbolic mathematical computation is very powerful, but the user must be able to see "intermediate steps"; 3. system design has made much progress, but for semester-long coursework and book-length productions we need more tools to help composition and navigation; 4. monolithic systems are perhaps not the best direction for the future, as different users have different needs and may have to link together many kinds of tools. The editor of this volume and the authors of the papers presented here have also reached and documented similar conclusions.


Understanding Minimalism

Understanding Minimalism
Author: Norbert Hornstein
Publisher: Cambridge University Press
Total Pages: 375
Release: 2005-12-15
Genre: Language Arts & Disciplines
ISBN: 113993659X

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Understanding Minimalism, first published in 2005, is an introduction to the Minimalist Program - the model of syntactic theory within generative linguistics. Accessibly written, it presents the basic principles and techniques of the minimalist program, looking firstly at analyses within Government and Binding Theory (the Minimalist Program's predecessor), and gradually introducing minimalist alternatives. Minimalist models of grammar are presented in a step-by-step fashion, and the ways in which they contrast with GB analyses are clearly explained. Spanning a decade of minimalist thinking, this textbook will enable students to develop a feel for the sorts of questions and problems that minimalism invites, and to master the techniques of minimalist analysis. Over 100 exercises are provided, encouraging them to put these skills into practice. Understanding Minimalism will be an invaluable text for intermediate and advanced students of syntactic theory, and will set a solid foundation for further study and research within Chomsky's minimalist framework.


Theory of Computation (With Formal Languages)

Theory of Computation (With Formal Languages)
Author: R.B. Patel, Prem Nath
Publisher: KHANNA PUBLISHING HOUSE
Total Pages: 480
Release: 2010
Genre: Computers
ISBN: 9380016522

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This book has very simple and practical approach to make the understood the concept of automata theory and languages well. There are many solved descriptive problems and objective (multiple choices) questions, which is a unique feature of this book. The multiple choice questions provide a very good platform for the readers to prepare for various competitive exams.


Introduction to Derivative-Free Optimization

Introduction to Derivative-Free Optimization
Author: Andrew R. Conn
Publisher: SIAM
Total Pages: 276
Release: 2009-04-16
Genre: Mathematics
ISBN: 0898716683

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The first contemporary comprehensive treatment of optimization without derivatives. This text explains how sampling and model techniques are used in derivative-free methods and how they are designed to solve optimization problems. It is designed to be readily accessible to both researchers and those with a modest background in computational mathematics.


Theory of Computation and Application (2nd Revised Edition)- Automata, Formal Languages and Computational Complexity

Theory of Computation and Application (2nd Revised Edition)- Automata, Formal Languages and Computational Complexity
Author: S. R. Jena
Publisher: University Science Press, Laxmi Publications, New Delhi
Total Pages: 551
Release: 2020-03-27
Genre: Computers
ISBN: 9386202158

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About the Book: This book is intended for the students who are pursuing courses in B.Tech/B.E. (CSE/IT), M.Tech/M.E. (CSE/IT), MCA and M.Sc (CS/IT). The book covers different crucial theoretical aspects such as of Automata Theory, Formal Language Theory, Computability Theory and Computational Complexity Theory and their applications. This book can be used as a text or reference book for a one-semester course in theory of computation or automata theory. It includes the detailed coverage of  Introduction to Theory of Computation  Essential Mathematical Concepts  Finite State Automata  Formal Language & Formal Grammar  Regular Expressions & Regular Languages  Context-Free Grammar  Pushdown Automata  Turing Machines  Recursively Enumerable & Recursive Languages  Complexity Theory Key Features: « Presentation of concepts in clear, compact and comprehensible manner « Chapter-wise supplement of theorems and formal proofs « Display of chapter-wise appendices with case studies, applications and some pre-requisites « Pictorial two-minute drill to summarize the whole concept « Inclusion of more than 200 solved with additional problems « More than 130 numbers of GATE questions with their keys for the aspirants to have the thoroughness, practice and multiplicity « Key terms, Review questions and Problems at chapter-wise termination What is New in the 2nd Edition?? « Introduction to Myhill-Nerode theorem in Chapter-3 « Updated GATE questions and keys starting from the year 2000 to the year 2018 «Practical Implementations through JFLAP Simulator About the Authors: Soumya Ranjan Jena is the Assistant Professor in the School of Computing Science and Engineering at Galgotias University, Greater Noida, U.P., India. Previously he has worked at GITA, Bhubaneswar, Odisha, K L Deemed to be University, A.P and AKS University, M.P, India. He has more than 5 years of teaching experience. He has been awarded M.Tech in IT, B.Tech in CSE and CCNA. He is the author of Design and Analysis of Algorithms book published by University Science Press, Laxmi Publications Pvt. Ltd, New Delhi. Santosh Kumar Swain, Ph.D, is an Professor in School of Computer Engineering at KIIT Deemed to be University, Bhubaneswar, Odisha. He has over 23 years of experience in teaching to graduate and post-graduate students of computer engineering, information technology and computer applications. He has published more than 40 research papers in International Journals and Conferences and one patent on health monitoring system.