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Partial Differential Equations

Victor Henner | Tatyana Belozerova | Alexander Nepomnyashchy
€61.50
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A01=Alexander Nepomnyashchy
A01=Tatyana Belozerova
A01=Victor Henner
advanced PDE solution strategies
Arbitrary Differentiable Function
Author_Alexander Nepomnyashchy
Author_Tatyana Belozerova
Author_Victor Henner
boundary value problems
Burgers Equation
Canonical forms
Category=PB
Category=PBK
Category=PBKJ
Category=PHU
Dark Soliton
eigenfunction expansion
Electrical Oscillations
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eq_nobargain
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first order equations
Fourier Analysis
Fourier Series
Galilean Symmetry
Galilean Transformation
Green's function techniques
heat diffusion modeling
Hopf Cole Transformation
Initial Curve
Integral Surface
Inverse Scattering Transform Method
Kink Center
Laplace and Poisson equations
Linear PDE
Longitudinal Vibrations of a Rod
nonlinear dynamics equations
Order Ordinary Differential Equation
Ordinary Differential Equation
PDE Form
Piecewise Smooth Function
Reading Exercise
Regular Sturm Liouville Problem
Rod oscillations
Singular Sturm Liouville Problems
Soliton
Soliton Solutions
Sturm Liouville
Sturm Liouville Equation
Sturm Liouville Operator
Sturm Liouville Problem
Tangent Vector
The Sturm-Liouville Problem
wave propagation analysis

Product details

  • ISBN 9781032475080
  • Weight: 740g
  • Dimensions: 178 x 254mm
  • Publication Date: 29 Mar 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Description

Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor.

This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses.

Highlights:



  • Offers a complete first course on PDEs




  • The text’s flexible structure promotes varied syllabi for courses




  • Written with a teach-by-example approach which offers numerous examples and applications




  • Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions




  • The text’s graphical material makes excellent use of modern software packages




  • Features numerous examples and applications which are suitable for readers studying the subject remotely or independently
About Alexander Nepomnyashchy | Tatyana Belozerova | Victor Henner

Victor Henner is a professor at the Department of Physics and Astronomy at the University of Louisville. He has Ph.Ds from the Novosibirsk Institute of Mathematics in Russia and Moscow State University. He co-wrote with Tatyana Belozerova Ordinary and Partial Differential Equations.

Tatyana Belozerova is a professor at Perm State University in Russia. Along with Ordinary and Partial Differential Equations, she co-wrote with Victor Henner Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions.

Alexander Nepomnyashchy is a mathematics professor at Northwestern University and hails from the Faculty of Mathematics at Technion-Israel Institute of Technology. His research interests include non-linear stability theory and pattern formation.

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