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Oberguggenberger, Michael; Ostermann, Alexander

Analysis for Computer Scientists Foundations, Algorithms and Applications (Kartoniert / Broschiert / Paperback)


Reihe: Undergraduate Topics in Computer Science

Springer-Verlag GmbH, Springer London, April 2011


341 S. - Sprache: Englisch - 239x156x25 mm Book

ISBN: 0857294458 EAN: 9780857294456

This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book's webpage.

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Produktdetails

Presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis Makes thorough use of examples and explanations using MATLAB, Maple, and Java applets Describes mathematical theory alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises

Inhaltsverzeichnis

Numbers.- Real-Valued Functions.- Trigonometry.- Complex Numbers.- Sequences and Series.- Limits and Continuity of Functions.- The Derivative of a Function.- Applications of the Derivative.- Fractals and L-Systems.- Antiderivatives.- Definite Integrals.- Taylor Series.- Numerical Integration.- Curves.- Scalar-Valued Functions of Two Variables.- Vector-Valued Functions of Two Variables.- Integration of Functions of Two Variables.- Linear Regression.- Differential Equations.- Systems of Differential Equations.- Numerical Solution of Differential Equations.

Über den Autor

Dr. Michael Oberguggenberger is a professor in the Department of Civil Engineering Sciences at the University of Innsbruck, Austria. Dr. Alexander Ostermann is a professor in the Department of Mathematics at the University of Innsbruck, Austria.

Kritikerstimmen

From the reviews:"This undergraduate work, translated from German, is designed around the concept that mathematical modeling and the underlying mathematics are central to computer science. ... place a strong emphasis on algorithmic methods, and include a substantial number of examples of mathematical modeling. ... Since the audience is computer science students, there are many examples and exercises ... using the software packages MATLAB and Maple. ... a useful acquisition for academic institutions where students have access to MATLAB and/or Maple. Summing Up: Recommended. Lower- and upper-division undergraduates." (D. Z. Spicer, Choice, Vol. 49 (1), September, 2011)"The book is a translation of the original German version from 2005 ... . Each chapter is preceded by a brief introduction for orientation. The text is enriched by computer experiments which should encourage the reader to actively acquire the subject matter. Finally, every chapter has exercises, half of which are to be solved with the help of computer programs. The book can be used from the first semester on as the main textbook for a course, as a complementary text, or for self-study." (Petr Gurka, Zentralblatt MATH, Vol. 1238, 2012)

ISBN 0-857294-45-8, ISBN 0-85-729445-8, ISBN 0-85729-445-8, ISBN 0-857-29445-8, ISBN 0-8572-9445-8

ISBN 978-0-857294-45-6, ISBN 978-0-85-729445-6, ISBN 978-0-85729-445-6, ISBN 978-0-857-29445-6, ISBN 978-0-8572-9445-6

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