General introduction to applied analysis with physical motivation for deeper understanding
Covers vector analysis, calculus of variations, Fourier analysis, and eigenfunction expansion for broad applicability
Discusses recent developments in nonlinear science and mathematical modeling for cutting-edge insights
Explains tools from linear PDE theory such as fundamental solutions, Perron's method, and layer potentials for practical problem-solving
Provides systematic descriptions on the study of blowup solutions to partial differential equations for advanced topics
This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstr