Understanding Integro-Differential Equations

Understanding Integro-Differential Equations is a clear, authoritative guide that unlocks the theory and practice of integro-differential equations for students, researchers, and engineers. Whether you’re confronting coupled integral–differential models in physics, engineering, biology, or finance, this book turns complex concepts into usable tools.

Start with rigorous yet approachable explanations of Volterra and Fredholm integro-differential equations, kernel properties, existence and uniqueness theorems, and stability analysis. Progress to practical solution techniques—Laplace and Fourier transforms, Green’s functions, perturbation methods—and contemporary numerical approaches for discretization and approximation. Numerous worked examples and step-by-step derivations make advanced material accessible while preserving mathematical depth.

Readers will appreciate how theory connects to real-world modelling: viscoelastic materials, population dynamics, thermal diffusion, and control systems are discussed with attention to boundary value problems and initial-value formulations. Ideal for advanced undergraduates, graduate students, and practitioners, this text supports coursework and independent study, and serves as a dependable reference for applied mathematicians and computational scientists.

Structured for clarity and usability, Understanding Integro-Differential Equations emphasizes intuition, practical problem-solving, and modern computational strategies. Its global relevance makes it suitable for academic programs and research labs across North America, Europe, Asia, and Australia. Gain the confidence to model, analyze, and numerically solve integro-differential problems—add this indispensable resource to your library today.

Note: eBooks do not include supplementary materials such as CDs, access codes, etc.