Scientific Computing An Introduction Using Maple And Matlab
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Scientific Computing - An Introduction using Maple and MATLAB
Author: Walter Gander
language: en
Publisher: Springer Science & Business
Release Date: 2014-04-23
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”.
Solving Problems in Scientific Computing Using Maple and MATLAB®
Author: Walter Gander
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-27
From the reviews: "... An excellent reference on undergraduate mathematical computing." American Mathematical Monthly "... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." Computing Reviews "... The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." Mathematics of Computation For this edition four chapters have been added. Some of the chapters of the previous editions were revised using new possibilities offered by Maple and MATLAB. Some interesting web pages related to Maple and MATLAB have been added in an appendix. Moreover, the editors have created a web page (www.SolvingProblems.inf.ethz.ch), where all Maple and MATLAB programs are available.
Introduction to Scientific Computing and Data Analysis
This textbook provides and 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 MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.