Exercises in computational mathematics with MATLAB

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Hauptverfasser: Lyche, Tom (VerfasserIn), Merrien, Jean-Louis 1958- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Heidelberg [u.a.] Springer 2014
Schriftenreihe:Problem books in mathematics
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Datensatz im Suchindex

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adam_text EXERCISES IN COMPUTATIONAL MATHEMATICS WITH MATLAB / LYCHE, TOM : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1 AN INTRODUCTION TO MATLAB COMMANDS 2 MATRICES AND LINEAR SYSTEMS 3 MATRICES, EIGENVALUES AND EIGENVECTORS 4 MATRICES, NORMS AND CONDITIONING 5 ITERATIVE METHODS 6 POLYNOMIAL INTERPOLATION 7 BEZIER CURVES AND BERNSTEIN POLYNOMIALS 8 PIECEWISE POLYNOMIALS, INTERPOLATION AND APPLICATIONS 9 APPROXIMATION OF INTEGRALS 10 LINEAR LEAST SQUARES METHODS 11 CONTINUOUS AND DISCRETE APPROXIMATIONS 12 ORDINARY DIFFERENTIAL EQUATIONS, ONE STEP METHODS 13 FINITE DIFFERENCES FOR DIFFERENTIAL AND PARTIAL DIFFERENTIAL EQUATIONS REFERENCES INDEX OF NAMES SUBJECT INDEX MATLAB INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. EXERCISES IN COMPUTATIONAL MATHEMATICS WITH MATLAB / LYCHE, TOM : 2014 ABSTRACT / INHALTSTEXT DESIGNED TO PROVIDE TOOLS FOR INDEPENDENT STUDY, THIS BOOK CONTAINS STUDENT-TESTED MATHEMATICAL EXERCISES JOINED WITH MATLAB PROGRAMMING EXERCISES. MOST CHAPTERS OPEN WITH A REVIEW FOLLOWED BY THEORETICAL AND PROGRAMMING EXERCISES, WITH DETAILED SOLUTIONS PROVIDED FOR ALL PROBLEMS INCLUDING PROGRAMS. MANY OF THE MATLAB EXERCISES ARE PRESENTED AS RUSSIAN DOLLS: EACH QUESTION IMPROVES AND COMPLETES THE PREVIOUS PROGRAM AND RESULTS ARE PROVIDED TO VALIDATE THE INTERMEDIATE PROGRAMS. THE BOOK OFFERS USEFUL MATLAB COMMANDS, ADVICE ON TABLES, VECTORS, MATRICES AND BASIC COMMANDS FOR PLOTTING. IT CONTAINS MATERIAL ON EIGENVALUES AND EIGENVECTORS AND IMPORTANT NORMS OF VECTORS AND MATRICES INCLUDING PERTURBATION THEORY; ITERATIVE METHODS FOR SOLVING NONLINEAR AND LINEAR EQUATIONS; POLYNOMIAL AND PIECEWISE POLYNOMIAL INTERPOLATION; BEZIER CURVES; APPROXIMATIONS OF FUNCTIONS AND INTEGRALS AND MORE. THE LAST TWO CHAPTERS CONSIDERS ORDINARY DIFFERENTIAL EQUATIONS INCLUDING TWO POINT BOUNDARY VALUE PROBLEMS, AND DEAL WITH FINITE DIFFERENCE METHODS FOR SOME PARTIAL DIFFERENTIAL EQUATIONS. THE FORMAT IS DESIGNED TO ASSIST STUDENTS WORKING ALONE, WITH CONCISE REVIEW PARAGRAPHS,MATH HINTFOOTNOTES ON THE MATHEMATICAL ASPECTS OF A PROBLEM ANDMATLAB HINTFOOTNOTES WITH TIPS ON PROGRAMMING DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author Lyche, Tom
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series2 Problem books in mathematics
spellingShingle Lyche, Tom
Merrien, Jean-Louis 1958-
Exercises in computational mathematics with MATLAB
MATLAB (DE-588)4329066-8 gnd
subject_GND (DE-588)4329066-8
title Exercises in computational mathematics with MATLAB
title_auth Exercises in computational mathematics with MATLAB
title_exact_search Exercises in computational mathematics with MATLAB
title_full Exercises in computational mathematics with MATLAB Tom Lyche ; Jean-Louis Merrien
title_fullStr Exercises in computational mathematics with MATLAB Tom Lyche ; Jean-Louis Merrien
title_full_unstemmed Exercises in computational mathematics with MATLAB Tom Lyche ; Jean-Louis Merrien
title_short Exercises in computational mathematics with MATLAB
title_sort exercises in computational mathematics with matlab
topic MATLAB (DE-588)4329066-8 gnd
topic_facet MATLAB
url https://doi.org/10.1007/978-3-662-43511-3
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