Intelligent Routines: Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple

✍ Scribed by George A. Anastassiou, Iuliana F. Iatan (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 591
• Series: Intelligent Systems Reference Library 39
• Edition: 1
• Category: Library

✦ Synopsis

Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.

✦ Table of Contents

Front Matter....Pages 1-12
Sequences and Series of Numbers....Pages 1-40
Power Series....Pages 41-70
Differentiation Theory of the Functions....Pages 71-156
Fundamentals of Field Theory....Pages 157-186
Implicit Functions....Pages 187-244
Terminology about Integral Calculus....Pages 245-316
Equations and Systems of Linear Ordinary Differential Equations....Pages 317-394
Line and Double Integral Calculus....Pages 395-474
Triple and Surface Integral Calculus....Pages 475-572
Back Matter....Pages 0--1

✦ Subjects

Computational Intelligence; Computational Mathematics and Numerical Analysis; Analysis