An Elementary Course on Partial Differential Equations



Any course on partial differential equations (PDEs) is a cora part of pure and applied mathematics. This book will be an invaluable resource to anyone looking for a lucid and comprehensive introduction to PDEs. Designed to strike a balance between theory and problems, it covers all major methods with theoretical rigour and geometric significance besides indicating historical backgrounds.

This book is divided into three parts. It begins with desired and essential fundamentals which include ordinary differential equations, multivariable calculus, and geometry. Thereafter, the text focusses on the formation and classification of PDEs besides impàoratnt techniques leading to the solution of certain types of PDEs. The last part is devoted to first, second, and higher-order PDEs. The chapters have been arranged to help students develop their knowledge gradually and systematically. All methods are formulated through theoretical descriptions in the form of theorems followed by illustrative examples to help the readers. Numerous solved examples and practice problems will assist the student to have a clear and deeper understanding of the involved concepts.

Key features:

Comprehensive coverage of syllabi of major Indian universities including UGC’s CBCS model curriculum
Simplified presentation of topics using definitions, theorems, and examples
Theoretical justification of all major methods for deeper conceptual understanding
Sufficient practice exercises at the end of each chapter



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