Birkhäuser boston aug 2003 (3 risultati)

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author's previous text,'Continuous Functions of Vector Variables': specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topicsencompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss.Prerequisites includebackground in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. 'Derivatives and Integrals of Multivariable Functions'isa rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry. 332 pp. Englisch.…

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results withawide variety ofexercises that range from thestraightforward to the state-of-the-art. Complete solutions to allproblems are provided. The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines. 168 pp. Englisch.…

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book we display the fundamental structure underlying classical electro dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We expect from our readers that they know elementary electrodynamics in the conventional (1 + 3)-dimensional form including Maxwell's equations. More over, they should be familiar with linear algebra and elementary analysis, in cluding vector analysis. Some knowledge of differential geometry would help. Our approach rests on the metric-free integral formulation of the conservation laws of electrodynamics in the tradition of F. Kottler (1922), E. Cartan (1923), and D. van Dantzig (1934), and we stress, in particular, the axiomatic point of view. In this manner we are led to an understanding of why the Maxwell equa tions have their specific form. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro magnetics and of the chapter 'Charge and Magnetic Flux' of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in cluding R. A. Toupin's Bressanone lectures (1965); for the exact references see the end of the introduction on page 11. . 436 pp. Englisch.…