**Introduction to Methods of Applied Mathematics**

by Sean Mauch

**Publisher**: Caltech 2004**Number of pages**: 2321

**Description**:

This book contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations. The text is still under development. It is alternately titled 'Advanced Mathematical Methods for Scientists and Engineers'.

Download or read it online for free here:

**Download link**

(9.2MB, PDF)

## Similar books

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**arXiv**

These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.

(

**6742**views)

**Linear Mathematics In Infinite Dimensions**

by

**U. H. Gerlach**-

**The Ohio State University**

Contents: Infinite Dimensional Vector Spaces; Fourier Theory; Sturm-Liouville Theory; Green's Function Theory; Special Function Theory; Partial Differential Equations; System of Partial Differential Equations: How to Solve Maxwell's Equations ...

(

**2967**views)

**Multivector Differential Calculus**

by

**Eckhard Hitzer**-

**arXiv**

This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.

(

**5067**views)

**Jacobi Operators and Complete Integrable Nonlinear Lattices**

by

**Gerald Teschl**-

**American Mathematical Society**

Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.

(

**7692**views)