Download or read book Calculus of Functions of One Argument written by Edward Jack Cogan and published by . This book was released on 1960 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics in Computing written by Gerard O’Regan and published by Springer Nature. This book was released on 2020-01-10 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book World of Computing written by Gerard O'Regan and published by Springer. This book was released on 2018-04-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging work provides a concise introduction to the exciting world of computing, encompassing the theory, technology, history, and societal impact of computer software and computing devices. Spanning topics from global conflict to home gaming, international business, and human communication, this text reviews the key concepts unpinning the technology which has shaped the modern world. Topics and features: introduces the foundations of computing, the fundamentals of algorithms, and the essential concepts from mathematics and logic used in computer science; presents a concise history of computing, discussing the historical figures who made important contributions, and the machines which formed major milestones; examines the fields of human−computer interaction, and software engineering; provides accessible introductions to the core aspects of programming languages, operating systems, and databases; describes the Internet revolution, the invention of the smartphone, and the rise of social media, as well as the Internet of Things and cryptocurrencies; explores legal and ethical aspects of computing, including issues of hacking and cybercrime, and the nature of online privacy, free speech and censorship; discusses such innovations as distributed systems, service-oriented architecture, software as a service, cloud computing, and embedded systems; includes key learning topics and review questions in every chapter, and a helpful glossary. Offering an enjoyable overview of the fascinating and broad-ranging field of computing, this easy-to-understand primer introduces the general reader to the ideas on which the digital world was built, and the historical developments that helped to form the modern age.
Download or read book A Brief History of Computing written by Gerard O'Regan and published by Springer Science & Business Media. This book was released on 2008-02-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides an introduction into the key topics in the history of computing in an easy-to-follow and concise manner. It does not require studies in computer science in order to be understood and appreciated. The book covers significant areas and events in the field from the beginnings of computation in 3000B.C. through to the present day. Helpful pedagogical elements such as exercises and chapter summaries are included. Focusing on the fundamental areas in the computing field, this clearly written and broad-ranging text will catch the attention and greatly benefit computer science students.
Download or read book Giants of Computing written by Gerard O’Regan and published by Springer Science & Business Media. This book was released on 2013-08-19 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been upon the shoulders of giants that the modern world has been forged. This accessible compendium presents an insight into the great minds responsible for the technology which has transformed our lives. Each pioneer is introduced with a brief biography, followed by a concise account of their key contributions to their discipline. The selection covers a broad spread of historical and contemporary figures from theoreticians to entrepreneurs, highlighting the richness of the field of computing. Suitable for the general reader, this concise and easy-to-read reference will be of interest to anyone curious about the inspiring men and women who have shaped the field of computer science.
Download or read book Mathematical Foundations of Software Engineering written by Gerard O'Regan and published by Springer Nature. This book was released on 2023-05-04 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents an introduction to the mathematical foundations of software engineering. It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features: Addresses core mathematics for critical thinking and problem solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.
Download or read book Index Matrices Towards an Augmented Matrix Calculus written by Krassimir T. Atanassov and published by Springer. This book was released on 2014-09-03 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the very concept of an index matrix and its related augmented matrix calculus in a comprehensive form. It mostly illustrates the exposition with examples related to the generalized nets and intuitionistic fuzzy sets which are examples of an extremely wide array of possible application areas. The present book contains the basic results of the author over index matrices and some of its open problems with the aim to stimulating more researchers to start working in this area.
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Download or read book Central European Functional Programming School written by Zoltán Horváth and published by Springer Science & Business Media. This book was released on 2008-09-29 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents eight carefully revised texts from selected lectures given by leading researchers at the Second Central European Functional Programming School, CEFP 2007, held in Cluj-Napoca, Romania, in June 2007. The eight revised full papers presented were carefully selected during two rounds of reviewing and improvement for inclusion in the book. The lectures cover a wide range of topics such as interactive workflows, lazy functional programs, lambda calculus, and object-oriented functional programming.
Download or read book Constraints in Computational Logics written by Jean-Pierre Jouannaud and published by Springer Science & Business Media. This book was released on 1994-08-24 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the First International Conference on Constraints in Computational Logics, CCL '94, held in Munich, Germany in September 1994. Besides abstracts or full papers of the 5 invited talks by senior researchers, the book contains revised versions of the 21 accepted research papers selected from a total of 52 submissions. The volume assembles high quality original papers covering major theoretical and practical issues of combining and extending programming paradigms, preferably by using constraints. The topics covered include symbolic constraints, set constraints, numerical constraints, multi-paradigm programming, combined calculi, constraints in rewriting, deduction, symbolic computations, and working systems.
Download or read book Functional and Concurrent Programming written by Michel Charpentier and published by Addison-Wesley Professional. This book was released on 2022-11-16 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leverage Modern Language Constructs to Write High-Quality Code Faster The functional and concurrent programming language features supported by modern languages can be challenging, even for experienced developers. These features may appear intimidating to OOP programmers because of a misunderstanding of how they work. Programmers first need to become familiar with the abstract concepts that underlie these powerful features. In Functional and Concurrent Programming, Michel Charpentier introduces a core set of programming language constructs that will help you be productive in a variety of programming languages—now and in the future. Charpentier illustrates key concepts with numerous small, focused code examples, written in Scala, and with case studies that provide a thorough grounding in functional and concurrent programming skills. These skills will carry from language to language—including the most recent incarnations of Java. Using these features will enable developers and programmers to write high-quality code that is easier to understand, debug, optimize, and evolve. Key topics covered include: Recursion and tail recursion Pattern matching and algebraic datatypes Persistent structures and immutability Higher-order functions and lambda expressions Lazy evaluation and streams Threads and thread pools Atomicity and locking Synchronization and thread-safe objects Lock-free, non-blocking patterns Futures, promises, and functional-concurrent programming As a bonus, the book includes a discussion of common typing strategies used in modern programming languages, including type inference, subtyping, polymorphism, type classes, type bounds, and type variance. Most of the code examples are in Scala, which includes many of the standard features of functional and concurrent programming; however, no prior knowledge of Scala is assumed. You should be familiar with concepts such as classes, methods, objects, types, variables, loops, and conditionals and have enough programming experience to not be distracted by simple matters of syntax.
Download or read book Kernels for Structured Data written by Thomas Grtner and published by World Scientific. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique treatment of an important area of machine learning and answers the question of how kernel methods can be applied to structured data. Kernel methods are a class of state-of-the-art learning algorithms that exhibit excellent learning results in several application domains. Originally, kernel methods were developed with data in mind that can easily be embedded in a Euclidean vector space. Much real-world data does not have this property but is inherently structured. An example of such data, often consulted in the book, is the (2D) graph structure of molecules formed by their atoms and bonds. The book guides the reader from the basics of kernel methods to advanced algorithms and kernel design for structured data. It is thus useful for readers who seek an entry point into the field as well as experienced researchers.
Download or read book Foundations of Differential Calculus written by Euler and published by Springer Science & Business Media. This book was released on 2006-05-04 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Download or read book From Curve Fitting to Machine Learning written by Achim Zielesny and published by Springer Science & Business Media. This book was released on 2011-07-28 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of experimental data is at heart of science from its beginnings. But it was the advent of digital computers that allowed the execution of highly non-linear and increasingly complex data analysis procedures - methods that were completely unfeasible before. Non-linear curve fitting, clustering and machine learning belong to these modern techniques which are a further step towards computational intelligence. The goal of this book is to provide an interactive and illustrative guide to these topics. It concentrates on the road from two dimensional curve fitting to multidimensional clustering and machine learning with neural networks or support vector machines. Along the way topics like mathematical optimization or evolutionary algorithms are touched. All concepts and ideas are outlined in a clear cut manner with graphically depicted plausibility arguments and a little elementary mathematics. The major topics are extensively outlined with exploratory examples and applications. The primary goal is to be as illustrative as possible without hiding problems and pitfalls but to address them. The character of an illustrative cookbook is complemented with specific sections that address more fundamental questions like the relation between machine learning and human intelligence. These sections may be skipped without affecting the main road but they will open up possibly interesting insights beyond the mere data massage. All topics are completely demonstrated with the aid of the commercial computing platform Mathematica and the Computational Intelligence Packages (CIP), a high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source so the detailed code of every method is freely accessible. All examples and applications shown throughout the book may be used and customized by the reader without any restrictions. The target readerships are students of (computer) science and engineering as well as scientific practitioners in industry and academia who deserve an illustrative introduction to these topics. Readers with programming skills may easily port and customize the provided code.
Download or read book The Calculi of Lambda Conversion AM 6 Volume 6 written by Alonzo Church and published by Princeton University Press. This book was released on 2016-03-02 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.
Download or read book Type Theory and Formal Proof written by Rob Nederpelt and published by Cambridge University Press. This book was released on 2014-11-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.
