Partial Differential Equations for Mathematical Physicists

Name: Partial Differential Equations for Mathematical Physicists
SKU: GC-4459577741
Availability: InStock

$40.00

Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and certain aspects of classical mechanics. We have stressed more the methodologies of partial differential equations and how they can be implemented as tools for extracting their solutions rather than dwelling on the foundational aspects. After covering some basic material, the book proceeds to focus mostly on the three main types of second order linear equations, namely those belonging to the elliptic, hyperbolic, and parabolic classes. For such equations a detailed treatment is given of the derivation of Green's functions, and of the roles of characteristics and techniques required in handling the solutions with the expected amount of rigor. In this regard we have discussed at length the method of separation variables, application of Green's function technique, and employment of Fourier and Laplace's transforms. Also collected in the appendices are some useful results from the Dirac delta function, Fourier transform, and Laplace transform meant to be used as supplementary materials to the text. A good number of problems is worked out and an equally large number of exercises has been appended at the end of each chapter keeping in mind the needs of the students. It is expected that this book will provide a systematic and unitary coverage of the basics of partial differential equations. Key Features An adequate and substantive exposition of the subject. Covers a wide range of important topics. Maintains mathematical rigor throughout. Organizes materials in a self-contained way with each chapter ending with a summary. Contains a large number of worked out problems. Additional ISBNs 0367227029, 0429276478, 9780367227029, 9780429276477Partial Differential Equations for Mathematical Physicists 1st Edition is written by Bijan Kumar Bagchi and published by Chapman & Hall. ISBNs for Partial Differential Equations for Mathematical Physicists are 9781000300819, 1000300811 and the print ISBNs are 9780367227029, 0367227029. Additional ISBNs include 0367227029, 0429276478, 9780367227029, 9780429276477.

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This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and certain aspects of classical mechanics. We have stressed more the methodologies of partial differential equations and how they can be implemented as tools for extracting their solutions rather than dwelling on the foundational aspects. After covering some basic material, the book proceeds to focus mostly on the three main types of second order linear equations, namely those belonging to the elliptic, hyperbolic, and parabolic classes. For such equations a detailed treatment is given of the derivation of Green’s functions, and of the roles of characteristics and techniques required in handling the solutions with the expected amount of rigor. In this regard we have discussed at length the method of separation variables, application of Green’s function technique, and employment of Fourier and Laplace’s transforms. Also collected in the appendices are some useful results from the Dirac delta function, Fourier transform, and Laplace transform meant to be used as supplementary materials to the text. A good number of problems is worked out and an equally large number of exercises has been appended at the end of each chapter keeping in mind the needs of the students. It is expected that this book will provide a systematic and unitary coverage of the basics of partial differential equations. Key Features An adequate and substantive exposition of the subject. Covers a wide range of important topics. Maintains mathematical rigor throughout. Organizes materials in a self-contained way with each chapter ending with a summary. Contains a large number of worked out problems. Additional ISBNs 0367227029, 0429276478, 9780367227029, 9780429276477Partial Differential Equations for Mathematical Physicists 1st Edition is written by Bijan Kumar Bagchi and published by Chapman & Hall. ISBNs for Partial Differential Equations for Mathematical Physicists are 9781000300819, 1000300811 and the print ISBNs are 9780367227029, 0367227029. Additional ISBNs include 0367227029, 0429276478, 9780367227029, 9780429276477.