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Mathematical Foundations Of Programming
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Book Synopsis Foundations for Programming Languages by : John C. Mitchell
Download or read book Foundations for Programming Languages written by John C. Mitchell and published by Mit Press. This book was released on 1996 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Programming languages embody the pragmatics of designing software systems, and also the mathematical concepts which underlie them. Anyone who wants to know how, for example, object-oriented programming rests upon a firm foundation in logic should read this book. It guides one surefootedly through the rich variety of basic programming concepts developed over the past forty years." -- Robin Milner, Professor of Computer Science, The Computer Laboratory, Cambridge University "Programming languages need not be designed in an intellectual vacuum; John Mitchell's book provides an extensive analysis of the fundamental notions underlying programming constructs. A basic grasp of this material is essential for the understanding, comparative analysis, and design of programming languages." -- Luca Cardelli, Digital Equipment Corporation Written for advanced undergraduate and beginning graduate students, "Foundations for Programming Languages" uses a series of typed lambda calculi to study the axiomatic, operational, and denotational semantics of sequential programming languages. Later chapters are devoted to progressively more sophisticated type systems.
Book Synopsis Mathematical Foundations of Computer Networking by : Srinivasan Keshav
Download or read book Mathematical Foundations of Computer Networking written by Srinivasan Keshav and published by Pearson Education. This book was released on 2012 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory
Book Synopsis Introduction to the Tools of Scientific Computing by : Einar Smith
Download or read book Introduction to the Tools of Scientific Computing written by Einar Smith and published by Springer Nature. This book was released on 2020-12-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike widely used standard approaches, it does not focus on any particular language but aims to explain the key underlying concepts. In general, new concepts are first introduced in the particularly user-friendly Python language and then transferred and expanded in various scientific programming environments from C / C ++, Julia and MATLAB to Maple. This includes different approaches to distributed computing. The fact that different languages are studied and compared also makes the book useful for mathematicians and practitioners trying to decide which programming language to use for which purposes.
Book Synopsis Mathematical Foundations of Programming Language Semantics by : Michael Main
Download or read book Mathematical Foundations of Programming Language Semantics written by Michael Main and published by Springer Science & Business Media. This book was released on 1988-03-09 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.
Book Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer
Download or read book Mathematical Foundations of Computer Science written by Peter A. Fejer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.
Book Synopsis Mathematical Foundations for Computing by : G. P. McKeown
Download or read book Mathematical Foundations for Computing written by G. P. McKeown and published by Palgrave. This book was released on 1995 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives a description of the fundamental mathematical concepts used by computer scientists, while also emphasizing the need for careful justification. It provides proofs of all the major results, and all the algorithms presented are developed carefully and their performance analyzed. Throughout, the aim is to provide a well-balanced treatment of both the discrete and continuous mathematics that should be studied by the serious student of computer science. The book should therefore be most suited to those undergraduate programmes that put the emphasis on such areas as programming language semantics, program correctness, and algorithm analysis and design.
Book Synopsis Mathematical Foundations for Signal Processing, Communications, and Networking by : Erchin Serpedin
Download or read book Mathematical Foundations for Signal Processing, Communications, and Networking written by Erchin Serpedin and published by CRC Press. This book was released on 2017-12-04 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.
Book Synopsis Mathematical Foundations of Programming Semantics by : Stephen Brookes
Download or read book Mathematical Foundations of Programming Semantics written by Stephen Brookes and published by Springer Science & Business Media. This book was released on 1994-05-20 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the Ninth International Conference on the Mathematical Foundations of Programming Semantics, held in New Orleans in April 1993. The focus of the conference series is the semantics of programming languages and the mathematics which supports the study of the semantics. The semantics is basically denotation. The mathematics may be classified as category theory, lattice theory, or logic. Recent conferences and workshops have increasingly emphasized applications of the semantics and mathematics. The study of the semantics develops with the mathematics and the mathematics is inspired by the applications in semantics. The volume presents current research in denotational semantics and applications of category theory, logic, and lattice theory to semantics.
Book Synopsis Elements of Programming by : Alexander Stepanov
Download or read book Elements of Programming written by Alexander Stepanov and published by Lulu.com. This book was released on 2019-06-17 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. This book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.
Book Synopsis Mathematical Programming by : Michel Minoux
Download or read book Mathematical Programming written by Michel Minoux and published by John Wiley & Sons. This book was released on 1986 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work covers the whole field of mathematical programming, including linear programming, unconstrained and constrained nonlinear programming, nondifferentiable (or nonsmooth) optimization, integer programming, large scale systems optimization, dynamic programming, and optimization in infinite dimensions. Special emphasis is placed on unifying concepts such as point-to-set maps, saddle points and perturbations functions, duality theory and its extensions.
Book Synopsis Types and Programming Languages by : Benjamin C. Pierce
Download or read book Types and Programming Languages written by Benjamin C. Pierce and published by MIT Press. This book was released on 2002-01-04 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.
Book Synopsis Mathematical Foundation of Computer Science by : Y. N. Singh
Download or read book Mathematical Foundation of Computer Science written by Y. N. Singh and published by New Age International. This book was released on 2005 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Interesting Feature Of This Book Is Its Organization And Structure. That Consists Of Systematizing Of The Definitions, Methods, And Results That Something Resembling A Theory. Simplicity, Clarity, And Precision Of Mathematical Language Makes Theoretical Topics More Appealing To The Readers Who Are Of Mathematical Or Non-Mathematical Background. For Quick References And Immediate Attentions3⁄4Concepts And Definitions, Methods And Theorems, And Key Notes Are Presented Through Highlighted Points From Beginning To End. Whenever, Necessary And Probable A Visual Approach Of Presentation Is Used. The Amalgamation Of Text And Figures Make Mathematical Rigors Easier To Understand. Each Chapter Begins With The Detailed Contents, Which Are Discussed Inside The Chapter And Conclude With A Summary Of The Material Covered In The Chapter. Summary Provides A Brief Overview Of All The Topics Covered In The Chapter. To Demonstrate The Principles Better, The Applicability Of The Concepts Discussed In Each Topic Are Illustrated By Several Examples Followed By The Practice Sets Or Exercises.
Book Synopsis Economic Foundations of Symmetric Programming by : Quirino Paris
Download or read book Economic Foundations of Symmetric Programming written by Quirino Paris and published by Cambridge University Press. This book was released on 2010-11-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying approach offers the advantage of a better understanding of the structure of economic models. It also introduces the simplest and most elegant algorithm for solving a wide class of problems.
Book Synopsis Mathematical Foundations of Data Science Using R by : Frank Emmert-Streib
Download or read book Mathematical Foundations of Data Science Using R written by Frank Emmert-Streib and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to help students become data scientists. Since this requires a series of courses over a considerable period of time, the book intends to accompany students from the beginning to an advanced understanding of the knowledge and skills that define a modern data scientist. The book presents a comprehensive overview of the mathematical foundations of the programming language R and of its applications to data science.
Book Synopsis Foundations of Applied Mathematics, Volume I by : Jeffrey Humpherys
Download or read book Foundations of Applied Mathematics, Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
Book Synopsis Concrete Mathematics by : Ronald L. Graham
Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Book Synopsis The Foundations of Program Verification by : Jacques Loeckx
Download or read book The Foundations of Program Verification written by Jacques Loeckx and published by . This book was released on 1987 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Program Verification Second Edition Jacques Loeckx and Kurt Sieber Fachbereich informatik Universität des Saariandes, Saarbrücken, Germany In collaboration with Ryan D. Stansifer Department of Computer Science Cornell University, USA This revised edition provides a precise mathematical background to several program verification techniques. It concentrates on those verification methods that have now become classic, such as the inductive assertions method of Floyd, the axiomatic method of Hoare, and Scott‘s fixpoint induction. The aim of the book is to present these different verification methods in a simple setting and to explain their mathematical background in particular the problems of correctness and completeness of the different methods are discussed in some detail and many helpful examples are included. Contents Authors’ Preface Part A: Preliminaries Mathematical Preliminaries Predicate Logic Part B: Semantics of Programming Languages Three Simple Programming Languages Fixpoints in Complete Partial Orders Denotational Semantics Part C: Program Verification Methods Correctness of Programs The Classical Methods of Floyd The Axiomatic Method of Hoare Verification Methods Based on Denotational Semantics LCF A Logic for Computable Functions Part D: Prospects An Overview of Further Developments Bibliography Index Review of the First Edition ‘… one of the better books currently available which introduces program verification.’ G. Bunting, University College Cardiff University Computing
