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Introduction to Differential Equations

By: Chasnov Jeffrey R.

Description: This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations

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Partial Differential Equations, Chapter II

By: David W. Walker

Description: This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.

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Ordinary Differential Equations and Dynamical Systems

By: Gerald Teschl

Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in...

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Partial Differential Equations Ebook

By: J. Nearing

Description: This note covers the following topics related to Partial Differential Equations: The Heat Equation, Separation of Variables, Oscillating Temperatures, Spatial Temperature Distributions, The Heat Flow into the Box, Specified Heat Flow, Electrostatics, Cylindrical Coordinates.

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Entropy and Partial Differential Equations

By: Lawrence C. Evans
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Partial Differential Equations of Mathematical Physics I

By: William W. Symes
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Pde from a Probability Point of View

By: Richard F. Bass
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Lecture Notes on Ordinary Differential Equations

By: Jerry Alan Veeh
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Elementary Differential Equations with Boundary Value Problems

By: William F. Trench

Description: This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value ...

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Linear Differential Equations

By: L. Boutet De Monvel
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Partial Differential Equations

By: Cleve Moler

Description: This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.

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Notes on Differential Equations

By: Robert E. Terrell

Description: This Notes on Differential Equations are an introduction and invitation. The focus is on important models and calculus in applied contexts.

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Notes on Partial Differential Equations ; Pde Notes

By: John K. Hunter

Description: These are notes from a two-quarter class on PDEs that are heavily based on the book Partial Differential Equations by L. C. Evans, together with other sources that are mostly listed in the Bibliography. The notes cover roughly Chapter 2 and Chapters 5–7 in Evans. There is no claim to any originality in the notes, but I hope — for some readers at least — they will provide a useful supplement.

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Functional Analysis by Ivan F Wilde

By: Ivan F. Wilde

Description: This note explains the following topics: Banach Spaces, Linear Operators, Baire Category Theorem, The Hahn-Banach Theorem, Hamel Bases, Projections, The Dual Space, Topological Spaces, Product Spaces.

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The Effect of Calculators on the Numerical Problem-Solving Skills ...

By: Mcdowell, Jennifer J

Comp., arranged, annotated and indexed by Rees Turpin, George Kingsley and Charles L. Shannon of the Kansas City Bar, assisted by John T. Harding, City Counselor, and the associate counselors, and an advisory committee consisting of William C. Culbertson, R. Emmet O'Malley and Alvah O. Thompson, of the Upper House, and Edmund C. Morris, Frank J. Shinnick and Charles J. Gilman, of the Lower House of the Common Council.

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Zeitschrift für Mathematischen und Naturwissenschaftlichen Unterri...

By: Verein Zur Förderung des Mathematischen und Naturwissenschaftlichen Unterrichts
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Semi-classical Analysis Victor Guillemin and Shlomo Sternberg

By: Guillemin Victor

Description: First seven chapters of this monograph discuss the techniques involved in symbolic calculus have their origins in symplectic geometry. Remaining chapters explains wave and heat trace formulas for globally defined semi classical differential operators on manifolds and equivariant versions of these results involving Lie group actions.

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Introduction to Algebraic Geometry, Part 2

By: R.C. Churchill

Description: It is hoped that this note will assist students in untangling the morass: they approach the subject from what could cynically be described as a rather narrow perspective, but they contain far more than the usual amount of detail and they include simple examples illustrating how algebraic geometers would work within this limited context.

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Acta Mathematica

Description: English, French, German

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Lie Algebras II

By: Fulton B. Gonzalez

Description: This note covers the following topics: Background Linear Algebra, Lie Algebras: Definition and Basic Properties, Solvable Lie Algebras and Lie s Theorem, Nilpotent Lie Algebras and Engel s Theorem, Cartan s Criteria for Solvability and Semisimplicity, Semisimple Lie Algebras, root Space Decompositions, Classical Simple Complex Lie Algebras.

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