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Partial Differential Equations

by A. K. Nandakumaran

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A modern introduction to core equations of mathematical physics

$88.57 USD
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Hardcover New English

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AlbakiReads Editorial

A modern introduction to core equations of mathematical physics

Nandakumaran organizes the classical theory of partial differential equations around three foundational families: Laplace and Poisson equations, heat or diffusion equations, and wave equations in one or more spatial dimensions. Designed to be self-contained while assuming relatively little prior background, the book moves from these central models toward advanced material including conservation laws and the Hamilton-Jacobi equation. Real-world applications appear throughout, connecting the mathematical treatment to the phenomena these equations are used to represent. Chapter-end references also provide routes for extending study beyond the main text.

Good fit for readers who enjoy

  • Senior undergraduate mathematics students beginning PDE study
  • Graduate students seeking a self-contained foundation in classical PDE theory
  • Readers interested in mathematical models of diffusion, waves, and potential theory

Themes

Partial differential equationsMathematical physicsLaplace and Poisson equationsDiffusion and wave equationsConservation laws

Based on publisher information and book metadata.

Book overview

Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics - Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.
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