This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.

1. 1. Introduction To Applied Mathematics

   

   A concise introduction to core techniques of applied mathematics that develops tools such as linear algebra, ordinary and partial differential equations, Fourier series and transforms, Green’s functions, eigenfunction expansions, calculus of variations, and approximation methods; the book emphasizes modeling physical and engineering problems, intuitive derivations and practical solution methods for boundary-value and spectral problems, supported by examples and exercises to build problem-solving skills.

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2. 2. Wavelets And Filter Banks

   

   This book introduces the mathematical foundations and practical design of wavelets and discrete filter banks, covering multiresolution analysis, scaling functions, orthogonal and biorthogonal wavelet constructions, and the theory of perfect reconstruction. It develops fast algorithms for decomposition and reconstruction (including Mallat’s algorithm and the lifting scheme), explains filter design and implementation issues, and connects the theory to applications in signal and image processing such as compression and denoising, with examples and exercises for both theory and practice.

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3. 3. Linear Algebra And Its Applications

   

   This textbook develops the fundamentals of linear algebra with a focus on geometric intuition, computational techniques, and real-world applications: vectors, matrices, solutions of linear systems, matrix factorizations, determinants, eigenvalues and eigenvectors, and the singular value decomposition. It balances theory and practice by explaining why concepts work, demonstrating algorithms for computation, and illustrating uses in engineering, data analysis, differential equations, and computer graphics, while providing numerous examples and exercises to build both conceptual understanding and problem-solving skills.

4. 4. Introduction To Linear Algebra

   

   This textbook introduces fundamental concepts of linear algebra through a blend of geometric intuition and computational methods, covering vectors and matrices, systems of linear equations, linear independence, bases and subspaces, rank and determinants, eigenvalues and eigenvectors, and orthogonality. It emphasizes practical solution techniques such as Gaussian elimination, QR factorization and the singular value decomposition, and presents applications to least squares problems, differential equations and data analysis. The exposition balances theory, proofs and numerous examples to develop both conceptual understanding and algorithmic skill for use in engineering, science and applied mathematics.