An Elementary Course on Partial Differential Equations
- Authors:
- Aftab Alam, Aligarh Muslim University, India
- Mohammad Imdad, Aligarh Muslim University, India
- Date Published: August 2022
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9781009276658
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Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their historical backgrounds, theoretical rigour, and geometric significance. The book is divided into three parts. It starts with basic topics like ordinary differential equations, multivariable calculus, and geometry. This is followed by important techniques to solve certain types of partial differential equations. 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. Each method is discussed through theoretical descriptions in the form of theorems followed by illustrative problems to help the readers. Finally, numerous solved examples and practice problems helps the student learn to apply this knowledge.
Read more- Comprehensive coverage following the UGC's CBCS syllabus as well as those of most major universities across India
- Simplified presentation of topics using definitions, theorems, and examples
- Theoretic justifications of all major methods for deeper conceptual understanding
- Sufficient practice exercises at the end of each chapter
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×Product details
- Date Published: August 2022
- format: Adobe eBook Reader
- isbn: 9781009276658
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Relevant Pre-requisites and Terminologies
2. Solution, Classification, and Formation of Partial Differential Equations
3. Easily Solvable Partial Differential Equations
4. First-Order Partial Differential Equations
5. Second-Order Partial Differential Equations
6. Higher Order Linear Partial Differential Equations.
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