A website about algebraic functions and iterated exponential and polynomial systems
This web site is about algebraic functions and iterated systems. The reader is advised to read the indicated background sections in order to better understand the content of each section.
The software used in this web site is Mathematica.
Algebraic functions:
- Section 0: Preliminaries
- Section 1: Introduction
- Section 2: An Improved Plotting Method
- Section 3: Applying Laurent's Theorem to Algebraic Functions
- Section 4: Applying the Residue Theorem to Algebraic Functions
- Section 5: Mathematica Code
- Section 6: Puiseux Series (background)
- Section 7: Puiseux Series (examples)
- Section 8: Designing doPuiseux
- Section 9: Finite power series (polynomials)
- Section 10: Radius of Convergence of Algebraic Power Series
- Section 11: Riemann Surfaces
- Section 12: Evaluating the Indeterminant Form
- Section 13: Analyzing the Annular Laurent Integrals
- Section 14: Analyzing the Annular Laurent Puiseux Series
Iterated exponential functions:
- Section A: Introduction to fixed points of iterated exponentials
- Section B: Computing the branching parameters of iterated exponentials
An algebraic function is a function that satisfies were and is a polynomial. with integer coefficients. Functions that can be constructed using only a finite number of elementary operations, as well as inverse algebraic functions of functions capable of being constructed in this way, are examples. There are many different types of algebraic functions: linear, quadratic, cubic, polynomial, rational, and radical equations. To learn algebraic functions fast your basics should be clear.
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