Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients (Mathematics and Physics for Science and Technology) free ebook download.

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Linear Partial Differential and Difference Equations and Simultaneous Systems with Constant or Homogeneous Coefficients (Mathematics and Physics for Science and Technology) free ebook download

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Author(s):	Luis Manuel Braga da Costa Campos, Luis Antonio Raio Vilela

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	B0CXJJXXHL
Pages:	243	OCR:		Quality:		ISBN13:
Uploader:	rubybook	Upload Date:	7/30/2024 9:45:42 AM

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B0CXJJXXHL pdf
Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series 'Mathematics and Physics for Science and Technology,' which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results. Volume V presents the mathematical theory of partial differential equations and methods of solution satisfying initial and boundary conditions, and includes applications to: acoustic, elastic, water, electromagnetic and other waves  the diffusion of heat, mass, and electricity  and their interactions. This is the third book of the volume.The book starts with six different methods of solution of linear partial differential equations (p.d.e.) with constant coefficients. One of the methods, namely characteristic polynomial, is then extended to a further five classes, including linear p.d.e. with homogeneous power coefficients and finite difference equations and simultaneous systems of both (simultaneous partial differential equations [s.p.d.e.] and simultaneous finite difference equations [s.f.d.e.]). The applications include detailed solutions of the most important p.d.e. in physics and engineering, including the Laplace, heat, diffusion, telegraph, bar, and beam equations. The free and forced solutions are considered together with boundary, initial, asymptotic, starting, and other conditions.The book is intended for graduate students and engineers working with mathematical models and can be applied to problems in mechanical, aerospace, electrical, and other branches of engineering dealing with advanced technology, and also in the physical sciences and applied mathematics.

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Tags: Coefficients Constant Difference Differential Equations Homogeneous Linear Partial Simultaneous Systems

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