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.. NM course webpage documentation master file, created by
   sphinx-quickstart on Tue Jan  5 18:44:45 2016.
   You can adapt this file completely to your liking, but it should at least
   contain the root `toctree` directive.

************
Introduction
************

.. toctree::
   :maxdepth: 2

***************************************
Erreurs et Arithmétique de l'ordinateur
***************************************

.. toctree::
   :maxdepth: 2


   chap1ErrorsAndComputerArithmetic/intro
   chap1ErrorsAndComputerArithmetic/metnum
   chap1ErrorsAndComputerArithmetic/definition
   chap1ErrorsAndComputerArithmetic/erreurs
   chap1ErrorsAndComputerArithmetic/chiffresign
   chap1ErrorsAndComputerArithmetic/introToPcArithmetic
   chap1ErrorsAndComputerArithmetic/PcStructure
   chap1ErrorsAndComputerArithmetic/DataStorage
   chap1ErrorsAndComputerArithmetic/DataTypes
   chap1ErrorsAndComputerArithmetic/BinarySystem
   chap1ErrorsAndComputerArithmetic/NumberRepresentation
   chap1ErrorsAndComputerArithmetic/PcArithmetic

***********************
Equations non-linéaires
***********************


.. toctree::
   :maxdepth: 2


   chap2NonLinearEquations/intro
   chap2NonLinearEquations/eqnlin
   chap2NonLinearEquations/dichotomie
   chap2NonLinearEquations/itersucc
   chap2NonLinearEquations/newton
   chap2NonLinearEquations/secante
   chap2NonLinearEquations/NonLinearSystems


*************************
Interpolation polynômiale
*************************

.. toctree::
   :maxdepth: 2

   chap3PolynomialInterpolation/intro
   chap3PolynomialInterpolation/PolynomialInterpolation
   chap3PolynomialInterpolation/StandardForm
   chap3PolynomialInterpolation/NewtonPolynomial
   chap3PolynomialInterpolation/LagrangePolynomial
   chap3PolynomialInterpolation/Convergence
   chap3PolynomialInterpolation/Error

*************
Approximation
*************

.. toctree::
   :maxdepth: 2

   chap4Approximation/intro
   chap4Approximation/LeastSquaresApproximation
   chap4Approximation/NormalSystem
   chap4Approximation/Linearization


***********
Intégration
***********

.. toctree::
   :maxdepth: 2

   chap5Integration/intro
   chap5Integration/NewtonCotesFormulas
   chap5Integration/CombinedRules
   chap5Integration/GaussQuadratures


*************************
Equations différentielles
*************************

.. toctree::
   :maxdepth: 2

   chap6DifferentialEquations/intro
   chap6DifferentialEquations/EulerMethods
   chap6DifferentialEquations/MultiStepMethods
   chap6DifferentialEquations/RungeKuttaMethods
   chap6DifferentialEquations/Stability

**************************************
Systèmes linéaires - Méthodes directes
**************************************

.. toctree::
   :maxdepth: 2

   chap7LinearSystemDirectMethods/intro
   chap7LinearSystemDirectMethods/LinearAlgebraReview
   chap7LinearSystemDirectMethods/ConditionNumber
   chap7LinearSystemDirectMethods/Solution
   chap7LinearSystemDirectMethods/TriangularSystem
   chap7LinearSystemDirectMethods/CramerMethod
   chap7LinearSystemDirectMethods/NaiveGaussElimination
   chap7LinearSystemDirectMethods/LUFactorisation
   chap7LinearSystemDirectMethods/RowInterchange
   chap7LinearSystemDirectMethods/PartialPivoting
   chap7LinearSystemDirectMethods/Scaling
   chap7LinearSystemDirectMethods/Determinant
   chap7LinearSystemDirectMethods/InverseMatrix

****************************************
Systèmes linéaires - Méthodes itératives
****************************************

.. toctree::
   :maxdepth: 2

   chap8LinearSystemsIterativeMethods/intro
   chap8LinearSystemsIterativeMethods/Theory
   chap8LinearSystemsIterativeMethods/Jacobi
   chap8LinearSystemsIterativeMethods/GaussSeidel
   chap8LinearSystemsIterativeMethods/SOR
   chap8LinearSystemsIterativeMethods/Convergence
   chap8LinearSystemsIterativeMethods/MatlabOctaveCommands


******************
Indices and tables
******************

* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`