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World Scientific Publishing Company Analysis and Differential Equations - World Scientific

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Description

This comprehensive text presents advanced methods of integral calculus alongside classical theory of ordinary and partial differential equations, equipping students and researchers with both explicit and implicit solution techniques. The book addresses linear and nonlinear differential equations with detailed treatments of cases that resist standard solution methods, incorporating special functions including Bessel functions to extend the analytical toolkit. Orthonormal polynomials such as Laguerre, Hermite and Legendre polynomials are thoroughly explored with multiple extensions, providing a rigorous foundation for advanced mathematics. Throughout the work, carefully selected examples and function graphs illustrate key concepts, making complex theoretical material accessible and applicable to real-world problems in mathematical analysis and applied mathematics.

Key Features

Analysis and Differential Equations covers explicit and implicit solutions for both linear and nonlinear differential equations with discrete approximation methods.

Special functions including Bessel functions are used to solve differential equations that cannot be addressed through standard techniques.

The book develops Laguerre, Hermite and Legendre orthonormal polynomials with extensions for broader mathematical applications.

Integral calculus methods are presented alongside classical differential equations theory for comprehensive mathematical understanding.

Examples and graphs of functions throughout the text illustrate differential equations concepts for enhanced learning and practical application.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
19 January 2015
Listed Since
09 June 2016

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