This book is meticulously crafted to serve as a comprehensive resource for a wide audience, including students, educators, and self-learners who are committed to mastering foundational mathematical concepts. Whether you're solving real-world problems in physics, designing algorithms in computer science, optimizing economic models, or conducting advanced research in engineering, the mathematical tools and concepts presented in this book are indispensable. Self-learners will appreciate the clear explanations and structured progression, designed to build confidence and competence in these critical mathematical domains. Whether as a primary learning source or a supplementary reference, this book stands as an asset for anyone dedicated to the rigorous study of mathematics and its applications across science, technology, and beyond.
- Each topic is developed step-by-step from the basics to an advanced level.
- Topics introduced are supported by examples drawn from the physical and engineering sciences.
- A wealth of worked-out examples and progressively more challenging exercises are incorporated.
- Definitions and theorems are followed by numerical examples to elucidate the concepts contained therein.
1. Functions of a Real Variable
2. Functions of Several Variables
3. Matrix and Vector Space
4. Linear Transformations, Matrices, and Determinants
5. Eigenvalues, Eigenvectors, and Jordan Forms
6. Ordinary Differential Equations
7. Ordinary Differential Equations of Higher Order
8. Introduction to Vectors
9. Vector Differential Calculus
10. Vector Integral Calculus
Kanti B. Datta, Formerly, Professor, Department of Electrical Engineering, Indian Institute of Technology, Kharagpur
Varma P.L.N, Professor, School of Applied Sciences and Humanities, Vignan’s foundation of Science, Technology & Research, Guntur
P. Sudam Sekhar, Associate Professor, School of Applied Sciences and Humanities, Vignan’s foundation of Science, Technology & Research, Guntur
