Download or read book Methods of Applied Mathematics with a Software Overview written by Jon H. Davis and published by Birkhäuser. This book was released on 2016-12-09 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Download or read book Methods of Applied Mathematics for Engineers and Scientists written by Tomas B. Co and published by Cambridge University Press. This book was released on 2013-06-28 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.
Download or read book Mathematical Approaches to Software Quality written by Gerard O'Regan and published by Springer Science & Business Media. This book was released on 2006-02-16 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to various mathematical approaches to achieving high-quality software. An introduction to mathematics that is essential for sound software engineering is provided as well as a discussion of various mathematical methods that are used both in academia and industry. The mathematical approaches considered include: Z specification language Vienna Development Methods (VDM) Irish school of VDM (VDM) approach of Dijkstra and Hoare classical engineering approach of Parnas Cleanroom approach developed at IBM software reliability, and unified modelling language (UML). Additionally, technology transfer of the mathematical methods to industry is considered. The book explains the main features of these approaches and applies mathematical methods to solve practical problems. Written with both student and professional in mind, this book assists the reader in applying mathematical methods to solve practical problems that are relevant to software engineers.
Download or read book Formal Verification of Control System Software written by Pierre-Loïc Garoche and published by Princeton University Press. This book was released on 2019-05-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential introduction to the analysis and verification of control system software The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can cost people their lives. In this authoritative and accessible book, Pierre-Loïc Garoche provides control engineers and computer scientists with an indispensable introduction to the formal techniques for analyzing and verifying this important class of software. Too often, control engineers are unaware of the issues surrounding the verification of software, while computer scientists tend to be unfamiliar with the specificities of controller software. Garoche provides a unified approach that is geared to graduate students in both fields, covering formal verification methods as well as the design and verification of controllers. He presents a wealth of new verification techniques for performing exhaustive analysis of controller software. These include new means to compute nonlinear invariants, the use of convex optimization tools, and methods for dealing with numerical imprecisions such as floating point computations occurring in the analyzed software. As the autonomy of critical systems continues to increase—as evidenced by autonomous cars, drones, and satellites and landers—the numerical functions in these systems are growing ever more advanced. The techniques presented here are essential to support the formal analysis of the controller software being used in these new and emerging technologies.
Download or read book Computer Science a Mathematical Introduction written by Art Lew and published by . This book was released on 1985 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of Applied Mathematics with a MATLAB Overview written by Jon H. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Download or read book Optimization Software Guide written by Jorge J. More and published by SIAM. This book was released on 1993-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Download or read book Harmonic and Applied Analysis written by Filippo De Mari and published by Springer Nature. This book was released on 2021-12-13 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers. Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.
Download or read book Applied Mathematics with Open Source Software written by Vincent Knight and published by CRC Press. This book was released on 2022-05-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Mathematics with Open-source Software: Operational Research Problems with Python and R is aimed at a broad segment of readers who wish to learn how to use open-source software to solve problems in applied mathematics. The book has an innovative structure with 4 sections of two chapters covering a large range of applied mathematical techniques: probabilistic modelling, dynamical systems, emergent behaviour and optimisation. The pairs of chapters in each section demonstrate different families of solution approaches. Each chapter starts with a problem, gives an overview of the relevant theory, shows a solution approach in R and in Python, and finally gives wider context by including a number of published references. This structure will allow for maximum accessibility, with minimal prerequisites in mathematics or programming as well as giving the right opportunities for a reader wanting to delve deeper into a particular topic. Features An excellent resource for scholars of applied mathematics and operational research, and indeed any academics who want to learn how to use open-source software. Offers more general and accessible treatment of the subject than other texts, both in terms of programming language but also in terms of the subjects considered. The R and Python sections purposefully mirror each other so that a reader can read only the section that interests them. An accompanying open-source repository with source files and further examples is posted online at https://bit.ly/3kpoKSd.
Download or read book Computer science written by Art Lew and published by . This book was released on 1985 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of Applied Mathematics with a MATLAB Overview written by Jon H. Davis and published by Springer Science & Business Media. This book was released on 2004 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Download or read book Mathematica Navigator written by Heikki Ruskeepaa and published by Academic Press. This book was released on 2004-02-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematica Navigator is the only book you need to understand and use the new Mathematica. Part tutorial and part handbook, this updated guidebook provides a thorough introduction to the software plus practical information and tips for using Mathematica on a daily basis to solve mathematical problems. The book emphasizes the use of graphics, methods of applied mathematics and statistics, and programming. While no previous experience with Mathematica is required, most chapters also include advanced material so that the book will be a valuable resource for beginners and experienced users. You'll want to keep it close by your computer for easy reference.
Download or read book Introduction to Applied Mathematics written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 1986-01-01 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.
Download or read book Optimization Software Guide written by Jorge J. More and published by SIAM. This book was released on 1993-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in optimization theory, including emphasis on large problems and on interior-point methods for linear programming, have begun to appear in production software. Here is a reference tool that includes discussions of these areas and names software packages that incorporate the results of theoretical research. After an introduction to the major problem areas in optimization and an outline of the algorithms used to solve them, a data sheet is presented for each of the 75 software packages and libraries in the authors' survey. These include information on the capabilities of the packages, how to obtain them, and addresses for further information. Standard optimization paradigms are addressed -- linear, quadratic, and nonlinear programming; network optimization; unconstrained and bound-constrained optimization; least-squares problems; nonlinear equations; and integer programming. The most practical algorithms for the major fields of numerical optimization are outlined, and the software packages in which they are implemented are described. This format will aid current and potential users of optimization software in classifying the optimization problem to be solved, determining appropriate algorithms, and obtaining the software that implements those algorithms. Readers need only a basic knowledge of vector calculus and linear algebra to understand this book.
Download or read book Concise Guide to Formal Methods written by Gerard O'Regan and published by Springer. This book was released on 2017-08-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable textbook/reference provides an easy-to-read guide to the fundamentals of formal methods, highlighting the rich applications of formal methods across a diverse range of areas of computing. Topics and features: introduces the key concepts in software engineering, software reliability and dependability, formal methods, and discrete mathematics; presents a short history of logic, from Aristotle’s syllogistic logic and the logic of the Stoics, through Boole’s symbolic logic, to Frege’s work on predicate logic; covers propositional and predicate logic, as well as more advanced topics such as fuzzy logic, temporal logic, intuitionistic logic, undefined values, and the applications of logic to AI; examines the Z specification language, the Vienna Development Method (VDM) and Irish School of VDM, and the unified modelling language (UML); discusses Dijkstra’s calculus of weakest preconditions, Hoare’s axiomatic semantics of programming languages, and the classical approach of Parnas and his tabular expressions; provides coverage of automata theory, probability and statistics, model checking, and the nature of proof and theorem proving; reviews a selection of tools available to support the formal methodist, and considers the transfer of formal methods to industry; includes review questions and highlights key topics in every chapter, and supplies a helpful glossary at the end of the book. This stimulating guide provides a broad and accessible overview of formal methods for students of computer science and mathematics curious as to how formal methods are applied to the field of computing.
Download or read book Numerical Methods in Scientific Computing written by Germund Dahlquist and published by SIAM. This book was released on 2008-01-01 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
Download or read book An Introduction to Discrete Mathematics and Formal System Specification written by Darrel Ince and published by Oxford University Press, USA. This book was released on 1988 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computer science textbook offers an introduction to the theory and practice of formal specification, defined as the use of discrete mathematics for describing the function of hardware and software systems. Formal specification plays a vital role, especially with regard to problem-free installation. Designed for students approaching the subject for the first time, this text develops all the required analytical and mathematical techniques. Numerous worked examples and exercises demonstrate actual software and computer systems. The book culminates with an introduction to "Z", a formal notation which is particularly useful for unambiguously specifying systems.
