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Laplace transforms can seem difficult to understand, but this book makes them approachable. Hrachya Khachatryan introduces the subject in clear language alongside rigorous mathematics, supported by examples, illustrations and Wolfram Language visualizations. Readers move from the forward and inverse transforms of basic functions through advanced topics such as the complex inversion formula and Cauchy's residue theorem. Applications highlight how Laplace transforms simplify ordinary differential equations, partial differential equations, fractional systems and control problems—linking theory to practice across mathematics and engineering.
Readers can check their understanding with end-of-chapter exercises, detailed solutions and a sample final exam. Created with students and instructors in mind, the book also connects directly to the free online course from Wolfram U, Introduction to Laplace Transforms, which features videos that reinforce selected topics. Together, the text and course provide a thorough learning path that blends foundational concepts with worked examples and computational tools, making one of applied mathematics' central techniques both accessible and practical.
Access the free companion ebook edition to interact with Wolfram Language code here.
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