Scientific Computing with MATLAB and Octave: v. 2 (Texts in Computational Science and Engineering) - Hardcover

Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola

Hardcover

ISBN 10: 3642124291 ISBN 13: 9783642124297

Verlag: Springer, 2012

Inhaltsangabe

REVIEW FROM THE REVIEWS OF THE THIRD EDITION: "THIS CAREFULLY WRITTEN TEXTBOOK IS THE THIRD ENGLISH EDITION AND CONTAINS SUBSTANTIAL NEW DEVELOPMENTS ON THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS. ... IT IS WRITTEN IN A STYLE THAT IS SUITED FOR READERS WHO HAVE MATHEMATICS, NATURAL SCIENCES, COMPUTER SCIENCES OR ECONOMICS AS A BACKGROUND AND WHO ARE INTERESTED IN A WELL-ORGANIZED INTRODUCTION TO THE SUBJECT." (ROBERT PLATO, ZENTRALBLATT MATH, VOL. 1205, 2011) FROM THE BACK COVER THIS TEXTBOOK IS AN INTRODUCTION TO SCIENTIFIC COMPUTING, IN WHICH SEVERAL NUMERICAL METHODS FOR THE COMPUTER-BASED SOLUTION OF CERTAIN CLASSES OF MATHEMATICAL PROBLEMS ARE ILLUSTRATED. THE AUTHORS SHOW HOW TO COMPUTE THE ZEROS OR THE INTEGRALS OF CONTINUOUS FUNCTIONS, SOLVE LINEAR SYSTEMS, APPROXIMATE FUNCTIONS USING POLYNOMIALS AND CONSTRUCT ACCURATE APPROXIMATIONS FOR THE SOLUTION OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS. TO MAKE THE FORMAT CONCRETE AND APPEALING, THE PROGRAMMING ENVIRONMENTS MATLAB AND OCTAVE ARE ADOPTED AS FAITHFUL COMPANIONS. THE BOOK CONTAINS THE SOLUTIONS TO SEVERAL PROBLEMS POSED IN EXERCISES AND EXAMPLES, OFTEN ORIGINATING FROM IMPORTANT APPLICATIONS. AT THE END OF EACH CHAPTER, A SPECIFIC SECTION IS DEVOTED TO SUBJECTS WHICH WERE NOT ADDRESSED IN THE BOOK AND CONTAINS BIBLIOGRAPHICAL REFERENCES FOR A MORE COMPREHENSIVE TREATMENT OF THE MATERIAL.

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Críticas

From the reviews of the third edition:

“This carefully written textbook is the third English edition and contains substantial new developments on the numerical solution of differential equations. ... it is written in a style that is suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject.” (Robert Plato, Zentralblatt MATH, Vol. 1205, 2011)

Reseña del editor

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2012
• ISBN 10: 3642124291
• ISBN 13: 9783642124297
• Einband: Tapa dura
• Sprache: Englisch
• Auflage: 3
• Anzahl der Seiten: 360