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Mathematical Analysis Books / Classical Analysis Books

Classical Analysis Books

This section contains free e-books and guides on Classical Analysis, some of the resources in this section can be viewed online and some of them can be downloaded.

Lectures On Semiclassical Analysis

This note explains the following topics: Symplectic geometry, Fourier transform, stationary phase, Quantization of symbols, Semiclassical defect measures, Eigenvalues and eigenfunctions, Exponential estimates for eigenfunctions, symbol calculus, Quantum ergodicity and Quantizing symplectic transformations.


s 211Pages

Classical Analysis and ODEs

This note explains the following topics: linearly related sequences of difference derivatives of discrete orthogonal polynomials, identity for zeros of Bessel functions, Close-to-convexity of some special functions and their derivatives, Monotonicity properties of some Dini functions, Classification of Systems of Linear Second-Order Ordinary Differential Equations, functions of Hausdorff moment sequences, Van der Corput inequalities for Bessel functions.


s NAPages

Semi Classical analysis

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.


s 488Pages

Classical Analysis I

This note is for students to have mastered the knowledge of complex function theory in which the classical analysis is based. The main theme of this course note is to explain some fundamentals of classical transcendental functions which are used extensively in number theory, physics,engineering and other pure and applied areas.


s 119Pages