An edition of Real Functions in One Variable
(2013)
Real Functions in One Variable
by Leif Mejlbro
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This series consists of six book on the elementary part of the theory of real functions in one variable. It is basic in the sense that Mathematics is the language of Physics.
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Publish Date
2013
Publisher
Bookboon
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Book Details
Table of Contents
Sisältö
Complex Numbers
Introduction
Definition
Rectangular description in the Euclidean plane
Description of complex numbers in polar coordinates
Algebraic operations in rectangular coordinates
The complex exponential function
Algebraic operations in polar coordinates
Roots in polynomials
The Elementary Functions
Introduction
Inverse functions
Logarithms and exponentials
Power functions
Trigonometric functions
Hyperbolic functions
Area functions
Arcus functions
Magnitude of functions
Differentiation
Introduction
Definition and geometrical interpretation
A catalogue of known derivatives
The simple rules of calculation
Differentiation of composite functions
Differentiation of an implicit given function
Differentiation of an inverse function
Integration
Introduction
A catalogue of standard antiderivatives
Simple rules of integration
Integration by substitution
Complex decomposition of fractions of polynomials
Integration of a fraction of two polynomials
Integration of trigonometric polynomials
Simple Differential Equations
Introduction
Differential equations which can be solved by separation
The linear differential equation of first order
Linear differential equations of constant coefficients
Euler’s differential equation
Linear differential equations of second order with variable coefficients
Approximations of Functions
Introduction
e - functions
Taylor’s formula
Taylor expansions of standard functions
Limits
Asymptotes
Approximations of integrals
Miscellaneous applications
Formulæ
Squares etc.
Powers etc.
Differentiation
Special derivatives
Integration
Special antiderivatives
Trigonometric formulæ
Hyperbolic formulæ
Complex transformation formulæ
Taylor expansions
Magnitudes of functions
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- Created November 3, 2015
- 4 revisions
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| August 22, 2020 | Edited by ISBNbot2 | normalize ISBN |
| November 3, 2015 | Edited by Alice Kirk | Edited without comment. |
| November 3, 2015 | Edited by Alice Kirk | Added new cover |
| November 3, 2015 | Created by Alice Kirk | Added new book. |