Analysis Tools with Applications
by Bruce K. Driver
Publisher: Springer 2003
Number of pages: 790
Description:
These are lecture notes from Real analysis and PDE. Contents: Basic Topological, Metric and Banach Space Notions; The Riemann Integral and Ordinary Differential Equations; Lebesbgue Integration Theory; Hilbert Spaces and Spectral Theory of Compact Operators; Synthesis of Integral and Differential Calculus; Miracle Properties of Banach Spaces; Complex Variable Theory; The Fourier Transform; Generalized Functions; PDE Examples; First Order Scalar Equations Elliptic ODE; Constant Coefficient Equations; Sobolev Theory; Variable Coefficient Equations; Heat Kernel Properties; Heat Kernels on Vector Bundles; PDE Extras.
Download or read it online for free here:
Download link
(4.7MB, PDF)
Similar books
Mathematical Physics IIby Boris Dubrovin - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(17145 views)
Topics in dynamics I: Flowsby Edward Nelson - Princeton University Press
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
(20546 views)
Difference Equations to Differential Equations - An introduction to calculusby Dan Sloughter
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
(25598 views)
Traveling Wave Solutions of Parabolic Systemsby A. Volpert, V. Volpert, V. Volpert - American Mathematical Society
The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems and their stability.
(16097 views)