Analysis for Computer Scientists Foundations Methods and Algorithms 1st edition by Michael Oberguggenberger,Alexander Ostermann- Ebook PDF Instant Download/Delivery:9783319911557,3319911554
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Product details:
ISBN 10:3319911554
ISBN 13:9783319911557
Author:Michael Oberguggenberger,Alexander Ostermann
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.
Analysis for Computer Scientists Foundations Methods and Algorithms 1st Table of contents:
1. Numbers
2. Real-Valued Functions
3. Trigonometry
4. Complex Numbers
5. Sequences and Series
6. Limits and Continuity of Functions
7. The Derivative of a Function
8. Applications of the Derivative
9. Fractals and L-systems
10. Antiderivatives
11. Definite Integrals
12. Taylor Series
13. Numerical Integration
14. Curves
15. Scalar-Valued Functions of Two Variables
16. Vector-Valued Functions of Two Variables
17. Integration of Functions of Two Variables
18. Linear Regression
19. Differential Equations
20. Systems of Differential Equations
21. Numerical Solution of Differential Equations
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Michael Oberguggenberger,Alexander Ostermann,Analysis,Computer