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Partial Differential Equations : a First Course by Rustum Choksi is a nonfiction available to read on EtoBox.

What is Partial Differential Equations : a First Course about?

While partial differential equations (PDEs) are fundamental in mathematics and throughout the sciences, most undergraduate students are only exposed to PDEs through the method of separation of variations. This text is written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study. A recurring theme is the role of concentration as captured by Dirac's delta function. This both guides the student into the structure of the solution to the diffusion equation and PDEs involving the Laplacian and invites them to develop a cognizance for the theory of distributions. Both distributions and the Fourier transform are given full treatment. The book is rich with physical motivations and interpretations, and it takes special care to clearly explain all the technical mathematical arguments, often with pre-motivations and post-reflections. Through these arguments the reader will develop a deeper proficiency and understanding of advanced calculus. While the text is comprehen

Who reads Partial Differential Equations : a First Course?

Author

Rustum Choksi

Publisher

American Mathematical Society

Published

2022

Language

EN

ISBN

9781470468675

Category

nonfiction

Subjects

Mathematics, Stem