Advanced Ordinary Differential Equations and Boundary Value Problems: (Book Series P-13/24) (Mastering Mathematical Sciences : Complete 24-Book Series ... NET, JRF, GATE, SET & Ph.D. Entrance Exams)

By Dr. Jitendra Singh

Advanced Ordinary Differential Equations and Boundary Value Problems is a comprehensive and student-friendly resource designed for aspirants preparing for the CSIR NET (JRF) in Mathematical Sciences and other advanced mathematics competitive examinations. This book systematically develops theoretical insight while strengthening problem-solving ability through an extensive set of conceptual explanations, worked examples, and 100+ multiple-choice questions (MCQs) per chapter. The content is structured to facilitate both in-depth learning and strategic revision , making it ideal for self-study as well as guided instruction. Chapter 1 - Sturm-Liouville Theory Introduces the formulation and analysis of eigenvalue problems , essential in solving boundary value problems. Explores the orthogonality of eigenfunctions , completeness, and expansion theorems. Demonstrates a wide range of applications in heat flow, wave motion, and quantum mechanics . Features 100+ MCQs focused on conceptual clarity, derivations, and applications. Chapter 2 - Green's Functions for ODEs Offers a step-by-step construction of Green's functions for various boundary conditions. Illustrates how Green's functions simplify the solution of non-homogeneous linear differential equations . Includes practical examples drawn from physics, engineering, and applied mathematics . Concludes with 100+ MCQs to reinforce understanding and test exam readiness. Chapter 3 - Higher-Order Linear Differential Equations Presents the general theory of higher-order ODEs with detailed classification and examples. Covers standard solution methods including: Method of Undetermined Coefficients Variation of Parameters Reduction of Order Applies theory to real-world systems in mechanical vibrations, electrical circuits, and structural mechanics . Accompanied by 100+ MCQs that target both theory and application-based reasoning. This book is more than just a study guide--it is a complete learning companion that helps bridge the gap between theory and application. Each chapter has been crafted to: Strengthen conceptual understanding , Provide exposure to exam-style questions , and Encourage analytical thinking through carefully graded exercises. Whether you're preparing for a competitive exam, pursuing research, or deepening your knowledge of differential equations, this book is designed to support your success.

• Format: Hardcover
• Language: English
• ISBN: B0F5WKYTX2
• ISBN13: 9798280896703
• Release Date: April 2025
• Publisher: Independently published
• Length: 189 Pages
• Dimensions: 9.0" x 0.6" x 6.0"