Happy holidays from us to you—get up to $30 off your next print or eBook! Shop now >>

Undergraduate Topics in Computer Science

Analysis for Computer Scientists

Foundations, Methods, and Algorithms

Authors: Oberguggenberger, Michael, Ostermann, Alexander

  • 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  
see more benefits

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-91155-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-91154-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises.

Topics and features: describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); contains experiments, exercises, definitions, and propositions throughout the text; supplies programming examples in Python, in addition to MATLAB (NEW); provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material.

Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills.

About the authors

Dr. Michael Oberguggenberger is a professor in the Unit of Engineering Mathematics at the University of Innsbruck, Austria.

Dr. Alexander Ostermann is a professor in the Department of Mathematics at the University of Innsbruck, Austria.

Table of contents (21 chapters)

  • Numbers

    Oberguggenberger, Michael (et al.)

    Pages 1-12

    Preview Buy Chapter 30,19 €
  • Real-Valued Functions

    Oberguggenberger, Michael (et al.)

    Pages 13-25

    Preview Buy Chapter 30,19 €
  • Trigonometry

    Oberguggenberger, Michael (et al.)

    Pages 27-37

    Preview Buy Chapter 30,19 €
  • Complex Numbers

    Oberguggenberger, Michael (et al.)

    Pages 39-47

    Preview Buy Chapter 30,19 €
  • Sequences and Series

    Oberguggenberger, Michael (et al.)

    Pages 49-67

    Preview Buy Chapter 30,19 €

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-91155-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-91154-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Analysis for Computer Scientists
Book Subtitle
Foundations, Methods, and Algorithms
Authors
Series Title
Undergraduate Topics in Computer Science
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-91155-7
DOI
10.1007/978-3-319-91155-7
Softcover ISBN
978-3-319-91154-0
Series ISSN
1863-7310
Edition Number
2
Number of Pages
XII, 378
Number of Illustrations
231 b/w illustrations
Topics