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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

Sequences and Series of Numbers

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Power Series

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Differentiation Theory of the Functions

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Fundamentals of Field Theory

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Implicit Functions

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Terminology about Integral Calculus

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Equations and Systems of Linear Ordinary Differential Equations

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Line and Double Integral Calculus

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Triple and Surface Integral Calculus

Without Abstract
George A. Anastassiou, Iuliana F. Iatan

Backmatter

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