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Texts in Computational Science and Engineering

Fundamentals of Scientific Computing

Authors: Gustafsson, Bertil

  • Explanations of the most basic and fundamental mathematical and numerical principles that makes a thorough understanding of advanced methods easy
  • A unified approach demonstrating the power of mathematics when applied to different types of problems in mathematical and numerical analysis
  • An introductory tutorial for those who have forgotten their calculus and linear algebra, or never had much of it
  • Presentation of important applications in physics and engineering, representing the most significant types of mathematical models
  • Numerous illustrations for ease of understanding
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  • ISBN 978-3-642-19495-5
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About this Textbook

The book of nature is written in the language of mathematics  -- Galileo Galilei

 

How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built?

The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation.

This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

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Reviews

From the reviews:

“Scientific computing is considered to comprise mathematical modeling, numerical analysis as well as issues of programming and implementation. Correspondingly, the book introduces all areas required and structures the material in 5 parts, altogether comprising 19 chapters. … In summary, the books presents the fundamentals of scientific computing in such a way that students from mathematics as well as from science or engineering can benefit.” (Gudula Rünger, Zentralblatt MATH, March, 2012)

Table of contents (20 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-19495-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-3-642-19494-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-3-642-26864-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Scientific Computing
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
8
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-19495-5
DOI
10.1007/978-3-642-19495-5
Hardcover ISBN
978-3-642-19494-8
Softcover ISBN
978-3-642-26864-9
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XIV, 326
Topics