Advanced Differential Equations Md Raisinghania Pdf
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Advanced Differential Equations by M.D. Raisinghania: A Review
Advanced Differential Equations is a book by M.D. Raisinghania, a professor of mathematics at Meerut College, India. The book is intended for students of mathematics, physics and engineering who want to learn advanced concepts and methods of differential equations. The book covers topics such as ordinary differential equations and special functions, partial differential equations, boundary value problems and their solutions by separation of variables, Laplace transforms, Fourier transforms, Hankel transforms and calculus of variations. The book also contains numerous solved examples and exercises based on various university examinations and competitive tests.
The book is divided into five parts, each consisting of several chapters. The first part deals with advanced ordinary differential equations and special functions, such as power series solutions, Bessel functions, Legendre functions, hypergeometric functions and orthogonal polynomials. The second part covers partial differential equations of first and second order, such as linear equations with constant coefficients, non-linear equations, Monge's method, classification of second order equations and canonical forms. The third part discusses boundary value problems and their solutions by separation of variables, such as heat equation, wave equation, Laplace equation and Helmholtz equation. The fourth part introduces Laplace transforms, Fourier transforms and Hankel transforms and their applications to differential equations. The fifth part explains the calculus of variations and its applications to problems of maxima and minima.
The book is well-written and comprehensive, covering a wide range of topics in differential equations. The book provides clear explanations of the theoretical concepts and illustrates them with relevant examples. The book also provides ample practice problems for the students to test their understanding and skills. The book is suitable for both self-study and classroom use.
The book is available in both print and digital formats. The print version can be purchased from S. Chand Publishing[^1^] or Google Books[^2^]. The digital version can be downloaded as a PDF file from Scribd[^3^].
The book has received positive reviews from the readers and the critics. The book has been praised for its clarity, depth and coverage of the subject. The book has also been appreciated for its pedagogical features, such as summaries, hints, remarks and references at the end of each chapter. The book has been recommended as a useful reference for students and teachers of differential equations.
The book has also some limitations and drawbacks. The book is quite lengthy and dense, which may make it difficult for some readers to follow and comprehend. The book also assumes some prior knowledge of basic differential equations and calculus, which may not be available to all students. The book also contains some errors and typos, which may affect the accuracy and quality of the content.
Overall, Advanced Differential Equations by M.D. Raisinghania is a valuable and comprehensive book for learning advanced differential equations. The book covers a wide range of topics and methods in a clear and rigorous manner. The book also provides numerous examples and exercises to enhance the learning experience. The book is suitable for students of mathematics, physics and engineering who want to master differential equations. 061ffe29dd