| Sumario: | This comprehensive textbook is aimed at undergraduate and postgraduate engineering students who have previously taken an introductory course in differential equations. The book focuses on applied mathematical methods, particularly in engineering contexts, offering a meticulous exploration of systems of ordinary differential equations (ODEs), both linear and non-linear, and partial differential equations (PDEs). It emphasizes practical problem-solving over formal mathematical proofs. The initial chapters provide a foundation in linear ODE systems, including variable coefficient cases using power series methods. Subsequent chapters introduce PDEs, employing Fourier methods to address classical equations under various boundary conditions. The book includes numerous solved exercises and examples, with mechanical oscillator systems as a recurring theme. Authored by Tomas Baenas Tormo, a recognized researcher in celestial mechanics and differential equations, it serves as a valuable resource for engineering students seeking to enhance their mathematical proficiency.
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