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Home > Computing and Information Technology > Computer science > Mathematical theory of computation > Maths for computer scientists > Analysis for Computer Scientists: Foundations, Methods, and Algorithms(Undergraduate Topics in Computer Science)
Analysis for Computer Scientists: Foundations, Methods, and Algorithms(Undergraduate Topics in Computer Science)

Analysis for Computer Scientists: Foundations, Methods, and Algorithms(Undergraduate Topics in Computer Science)


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About the Book

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.

Table of Contents:
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.

About the Author :
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.

Review :
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)


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Product Details
  • ISBN-13: 9780857294456
  • Publisher: Springer London Ltd
  • Publisher Imprint: Springer London Ltd
  • Height: 240 mm
  • No of Pages: 342
  • Series Title: Undergraduate Topics in Computer Science
  • Weight: 1090 gr
  • ISBN-10: 0857294458
  • Publisher Date: 28 Mar 2011
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: Foundations, Methods, and Algorithms
  • Width: 160 mm


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Analysis for Computer Scientists: Foundations, Methods, and Algorithms(Undergraduate Topics in Computer Science)
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