| Vorliegende Sprache |
eng |
| Hinweise auf parallele Ausgaben |
371009030 Buchausg. u.d.T.: ‡Anastassiou, George A., 1952 - : Intelligent routines |
| ISBN |
978-3-642-28474-8 |
| Name |
Anastassiou, George A. |
| Iatan, Iuliana F. |
| Name ANZEIGE DER KETTE |
Iatan, Iuliana F. |
| T I T E L |
Intelligent Routines |
| Zusatz zum Titel |
Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple |
| Verlagsort |
Berlin, Heidelberg |
| Verlag |
Springer |
| Erscheinungsjahr |
2013 |
| 2013 |
| Umfang |
Online-Ressource (XIV, 582 p. 97 illus, digital) |
| Reihe |
Intelligent Systems Reference Library ; 39 |
| Notiz / Fußnoten |
Description based upon print version of record |
| Weiterer Inhalt |
Title; Preface; Contents; Sequences and Series of Numbers; Cauchy Sequences; Fundamental Concepts; Convergent Series; Cauchy's Test; Divergent Series; Operations on Convergent Series; Tests for Convergence of Alternating Series; Tests of Convergence and Divergence of Positive Series; The Comparison Test I; The Root Test; The Ratio Test; The Raabe's and Duhamel's Test; The Comparison Test II; The Comparison Test III; Absolutely Convergent and Semi-convergent Series; Problems; Power Series; Region of Convergence; Taylor and Mac Laurin Series; Expanding a Function in a Power Series. Sum of a Power SeriesProblems; Differentiation Theory of the Functions; Partial Derivatives and Differentiable Functions of Several Variables; Partial Derivatives; The Total Differential of a Function; Applying the Total Differential of a Function to Approximate Calculations; The Functional Determinant; Homogeneous Functions; Derivation and Differentiation of Composite Functions; Change of Variables; Taylor's Formula for Functions of Two Variables; Problems; Fundamentals of Field Theory; Derivative in a Given Direction of a Function; Differential Operators; Problems; Implicit Functions. Derivative of Implicit FunctionsDifferentiation of Implicit Functions; Systems of Implicit Functions; Functional Dependence; Extreme Value of a Function of Several Variables; Problems; Terminology about Integral Calculus; Indefinite Integrals; Integrals of Rational Functions; Reducible Integrals to Integrals of Rational Functions; Integrating Trigonometric Functions; Integrating Certain Irrational Functions; Some Applications of the Definite Integrals in Geometry and Physics; The Area under a Curve; The Area between by Two Curves; Arc Length of a Curve; Area of a Surface of Revolution. Volumes of SolidsCentre of Gravity; Improper Integrals; Integrals of Unbounded Functions; Integrals with Infinite Limits; The Comparison Criterion for the Integrals; Parameter Integrals; Problems; Equations and Systems of Linear Ordinary Differential Equations; Successive Approximation Method; First Order Differential Equations Solvable by Quadratures; First Order Differential Equations with Separable Variables; First Order Homogeneous Differential Equations; Equations with Reduce to Homogeneous Equations; First Order Linear Differential Equations; Exact Differential Equations. Bernoulli's EquationRiccati's Equation; Lagrange's Equation; Clairaut's Equation; Higher Order Differential Equations; Homogeneous Linear Differential Equations with Constant Coefficients; Non-homogeneous Linear Differential Equations with Constant Coefficients; The Method of Variation of Constants; The Method of the Undetermined Coefficients; Euler's Equation; Homogeneous Systems of Differential Equations with Constant Coefficients; Method of Characteristic Equation; Elimination Method; Non-homogeneous Systems of Differential Equations; Problems; Line and Double Integral Calculus. Line Integrals of the First Type |
| Titelhinweis |
Buchausg. u.d.T.: ‡Anastassiou, George A., 1952 - : Intelligent routines |
| ISBN |
ISBN 978-3-642-28475-5 |
| Klassifikation |
UYQ |
| COM004000 |
| *00-01 |
| 00A35 |
| 26-04 |
| 34-04 |
| 65-01 |
| 006.3 |
| Q342 |
| Kurzbeschreibung |
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. |
| 1. Schlagwortkette |
Reelle Analysis |
| MATLAB 7.9 |
| Mathcad 14.0 |
| Mathematica 8 |
| Maple 15 |
| Beispielsammlung |
| Beispielsammlung |
| ANZEIGE DER KETTE |
Reelle Analysis -- MATLAB 7.9 -- Mathcad 14.0 -- Mathematica 8 -- Maple 15 -- Beispielsammlung -- Beispielsammlung |
| SWB-Titel-Idn |
37336475X |
| Signatur |
Springer E-Book |
| Bemerkungen |
Elektronischer Volltext - Campuslizenz |
| Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-642-28475-5 |
| Internetseite / Link |
Volltext |
| Siehe auch |
Inhaltsverzeichnis |
| Siehe auch |
Inhaltstext |
| Siehe auch |
Volltext |
| Siehe auch |
Cover |
| Siehe auch |
Inhaltstext |
