Introduction To Scientific Computing And Data Analysis

Author : Mark H. Holmes
Publisher : Springer Nature
ISBN 13 : 3031224302
Total Pages : 563 pages
Book Rating : 4.00/5 ( download)

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Download or read book Introduction to Scientific Computing and Data Analysis written by Mark H. Holmes and published by Springer Nature. This book was released on 2023-07-11 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression-based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The codes used for most of the computational examples in the text are available on GitHub. This new edition includes material necessary for an upper division course in computational linear algebra.

Author : Charles F. Van Loan
Publisher : Pearson
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.70/5 ( download)

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Download or read book Introduction to Scientific Computing written by Charles F. Van Loan and published by Pearson. This book was released on 2000 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate the "connection" between continuous mathematics and computing. "MATLAB 5" is used "throughout" to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a "hard" problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a "proof by MATLAB" experiment to bolster intuition; 3)at least one recursive algorithm; and 4)at least one connection to a real-world application. The book revolves around examples that are packaged in 200+ M-files, which, collectively, communicate all the key mathematical ideas and an appreciation for the subtleties of numerical computing. Power Tools of the Trade. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear Systems. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The Initial Value Problem. For engineers and mathematicians.

Author : Einar Smith
Publisher : Springer Nature
ISBN 13 : 3030608085
Total Pages : 344 pages
Book Rating : 4.88/5 ( download)

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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.

Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 1611975573
Total Pages : 567 pages
Book Rating : 4.74/5 ( download)

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Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Author : J. Nathan Kutz
Publisher : Oxford University Press
ISBN 13 : 0199660336
Total Pages : 657 pages
Book Rating : 4.39/5 ( download)

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Download or read book Data-Driven Modeling & Scientific Computation written by J. Nathan Kutz and published by Oxford University Press. This book was released on 2013-08-08 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.

Author : Arash Karimpour
Publisher :
ISBN 13 : 9781735241012
Total Pages : pages
Book Rating : 4.16/5 ( download)

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Download or read book Fundamentals of Data Science with MATLAB written by Arash Karimpour and published by . This book was released on 2020-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Peter Deuflhard
Publisher : Springer Science & Business Media
ISBN 13 : 0387215840
Total Pages : 350 pages
Book Rating : 4.46/5 ( download)

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Download or read book Numerical Analysis in Modern Scientific Computing written by Peter Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Author : Walter Gander
Publisher : Springer Science & Business
ISBN 13 : 3319043250
Total Pages : 905 pages
Book Rating : 4.58/5 ( download)

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Download or read book Scientific Computing - An Introduction using Maple and MATLAB written by Walter Gander and published by Springer Science & Business. This book was released on 2014-04-23 with total page 905 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Author : Victor Eijkhout
Publisher : Lulu.com
ISBN 13 : 1257992546
Total Pages : 536 pages
Book Rating : 4.46/5 ( download)

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Download or read book Introduction to High Performance Scientific Computing written by Victor Eijkhout and published by Lulu.com. This book was released on 2010 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that teaches the bridging topics between numerical analysis, parallel computing, code performance, large scale applications.

Author : Joakim Sundnes
Publisher :
ISBN 13 : 3030503569
Total Pages : 157 pages
Book Rating : 4.67/5 ( download)

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Download or read book Introduction to Scientific Programming with Python written by Joakim Sundnes and published by . This book was released on 2020 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book offers an initial introduction to programming for scientific and computational applications using the Python programming language. The presentation style is compact and example-based, making it suitable for students and researchers with little or no prior experience in programming. The book uses relevant examples from mathematics and the natural sciences to present programming as a practical toolbox that can quickly enable readers to write their own programs for data processing and mathematical modeling. These tools include file reading, plotting, simple text analysis, and using NumPy for numerical computations, which are fundamental building blocks of all programs in data science and computational science. At the same time, readers are introduced to the fundamental concepts of programming, including variables, functions, loops, classes, and object-oriented programming. Accordingly, the book provides a sound basis for further computer science and programming studies.