Description 
1 online resource 
Series 
Undergraduate topics in computer science 

Undergraduate topics in computer science.

Contents 
Numbers  RealValued Functions  Trigonometry  Complex Numbers  Sequences and Series  Limits and Continuity of Functions  The Derivative of a Function  Applications of the Derivative  Fractals and LSystems  Antiderivatives  Definite Integrals  Taylor Series  Numerical Integration  Curves  ScalarValued Functions of Two Variables  VectorValued Functions of Two Variables  Integration of Functions of Two Variables  Linear Regression  Differential Equations  Systems of Differential Equations  Numerical Solution of Differential Equations  Appendix A: Vector Algebra  Appendix B: Matrices  Appendix C: Further Results on Continuity  Appendix D: Description of the Supplementary Software 
Summary 
This 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 Lsystems, 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, secondorder 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 
Notes 
Previous edition: 2011 

Print version record 
Subject 
Computer science  Mathematics.

Form 
Electronic book

Author 
Bradley, Elisabeth, translator


Ostermann, Alexander, author

ISBN 
3319911546 

3319911554 (electronic bk.) 

3319911562 

9783319911540 

9783319911557 (electronic bk.) 

9783319911564 (print) 
