Focusing on the core principles of second-order partial differential equations and systems, this self-contained text offers a comprehensive exploration of Maximum Principles. It not only lays the groundwork for understanding these principles but also presents a range of practical applications, making it an essential resource for students and professionals in the field.
From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.