Green’s Functions and Linear Differential Equations pdf

Green’s Functions and Linear Differential Equations pdf

Green’s Functions and Linear Differential Equations pdf : Pages 382

By Prem K. Kythe

Theory, Applications, and Computation

Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Filled with worked examples and exercises, this robust, self-contained text fully explains the differential equation problems, includes graphical representations where necessary, and provides relevant background material.

Euclidean Space ; Metric Space ; Inner Product ; Classes of Continuous Functions ; Convergence ; Convergence of Sequences ; Weak Convergence ; Metric ; Convergence of Infinite Series ;Tests for Convergence of Positive Series ; Functionals ; Examples of Linear Functionals ; Linear Transformations ; Cramer’s Rule ; Green’s Identities ; Differentiation and Integration ; Leibniz’s Rules ; Integration by Parts; Inequalities ; Bessel’s Inequality for Fourier Series ; Bessel’s Inequality for Square-Integrable Functions ; Schwarz’s Inequality for Infinite Sequences

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