Scientific Computing - An Introduction using Maple and MATLAB

Walter Gander

ISBN 10: 331938158X / ISBN 13: 9783319381589

Verlag: Springer International Publishing Okt 2016, 2016

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -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'. 932 pp. Englisch. Bestandsnummer des Verkäufers 9783319381589

Bibliografische Details

Titel: Scientific Computing - An Introduction using...

Verlag: Springer International Publishing Okt 2016

Erscheinungsdatum: 2016

Einband: Taschenbuch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

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”.

Críticas:

From the book reviews:

“This is an elaborate book on fundamental numerical methods including numerical ordinary differential equations and optimization. ... All chapters are organized in the same nice way by beginning with an introductary example and ending with a large number of exercises. The presentation of the material is reader orientated such that e.g. a student can learn directly from the book. Many details are given and special attention lies on various numerical calculations which enlight the performance of the respective algorithms.” (Rolf Dieter Grigorieff, zbMATH, Vol. 1296, 2014)