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The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics an

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, po

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian. These methods constitute, in part, an extension to

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of P

Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of compu