Complex stochastic processes: an introduction to theory and application

Complex Stochastic Processes: An Introduction to Theory and Application

Science & Math

Miller, Kenneth S.

Mathematics

Addison-Wesley Publishing Company

Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations.

An Introduction to the Fractional Calculus and Fractional Differential Equations

Ross, Bertram

Wiley-Interscience

In this text we propose to strengthen this mathematical background by filling in his knowledge on differential equations, in particular giving the general theory of linear differential equations and the practical technique (Frobenius method) of solving differential equations in series.

Engineering Mathematics

Dover Publications

A standard work of international renown.

An introduction to advanced complex calculus,

About the Author\nKenneth S. Miller received his PhD from Columbia University, taught at New York University, and was a Senior Research Associate at Columbia's Electronic Research Laboratory from 1964 to 1989. His numerous books on applied mathematics include An Introduction to Vector Stochastic Processes and Some Eclectic Matrix Theory.\nRequiring only an elementary knowledge of ordinary differential equations, this concise text is dedicated to helping engineering students solve problems in their field involving partial differential equations. No emphasis is placed upon questions of existence, uniqueness, and convergence; the treatment's focus remains firmly on the practical solution of partial differential equations. 
The first chapter derives some of the more common partial differential equations associated with such phenomena as vibration, heat flow, electricity and elasticity. Subsequent chapters examine and apply the techniques of Fourier analysis to these equations, and then extend the discussion to the Fourier integral. The final chapters explore Legendre, Bessel, and Mathieu functions as well as the general structure of differential operators. 
For undergraduate engineering students.

Partial Differential Equations in Engineering Problems (Dover Books on Engineering)

Advanced Real Calculus

Krieger Pub. Co

This text surveys fundamental and general existence theorems as well as uniqueness theorems and Picard iterants, applying them to properties of solutions and linear differential equations. A basic knowledge of real function theory  — and for certain results, of elementary functions of a complex variable  — is assumed. 1954 edition.

Existence Theorems for Ordinary Differential Equations

Murray, Francis Joseph

Partial Differential Equations

An Introduction to Kalman Filtering With Applications

Leskiw, Donald M.

Literature & Fiction

Literary

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Books by Miller, Kenneth S.