Calculus in Vector Spaces without Norm
Author | : A. Frölicher |
Publisher | : Springer |
Total Pages | : 159 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 354034862X |
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Author | : A. Frölicher |
Publisher | : Springer |
Total Pages | : 159 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 354034862X |
Author | : A. Frolicher |
Publisher | : |
Total Pages | : 164 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662205228 |
Author | : Alfred Frölicher |
Publisher | : |
Total Pages | : 329 |
Release | : 1966 |
Genre | : Calculus |
ISBN | : |
Author | : Alfred Fröhlicher |
Publisher | : |
Total Pages | : 146 |
Release | : 1966 |
Genre | : |
ISBN | : |
Author | : Rodney Coleman |
Publisher | : Springer Science & Business Media |
Total Pages | : 255 |
Release | : 2012-07-25 |
Genre | : Mathematics |
ISBN | : 1461438942 |
This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.
Author | : Lawrence Corwin |
Publisher | : CRC Press |
Total Pages | : 616 |
Release | : 1994-12-08 |
Genre | : Mathematics |
ISBN | : 9780824792794 |
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Author | : Lucien Waelbroeck |
Publisher | : Springer |
Total Pages | : 165 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540369384 |
The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.
Author | : Lawrence J. Corwin |
Publisher | : |
Total Pages | : 806 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : |
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Author | : Jürgen Voigt |
Publisher | : Springer Nature |
Total Pages | : 152 |
Release | : 2020-03-06 |
Genre | : Mathematics |
ISBN | : 3030329453 |
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Author | : N. Bourbaki |
Publisher | : Springer Science & Business Media |
Total Pages | : 368 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 3642617158 |
This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, reflecting decades of progress in the field.