Metric Spaces

Metric Spaces PDF

Author: Victor Bryant

Publisher: Cambridge University Press

Published: 1985-05-02

Total Pages: 116

ISBN-13: 9780521318976

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An introduction to metric spaces for those interested in the applications as well as theory.

Set Theory and Metric Spaces

Set Theory and Metric Spaces PDF

Author: Irving Kaplansky

Publisher: American Mathematical Society

Published: 2020-09-10

Total Pages: 140

ISBN-13: 1470463849

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This is a book that could profitably be read by many graduate students or by seniors in strong major programs … has a number of good features. There are many informal comments scattered between the formal development of theorems and these are done in a light and pleasant style. … There is a complete proof of the equivalence of the axiom of choice, Zorn's Lemma, and well-ordering, as well as a discussion of the use of these concepts. There is also an interesting discussion of the continuum problem … The presentation of metric spaces before topological spaces … should be welcomed by most students, since metric spaces are much closer to the ideas of Euclidean spaces with which they are already familiar. —Canadian Mathematical Bulletin Kaplansky has a well-deserved reputation for his expository talents. The selection of topics is excellent. — Lance Small, UC San Diego This book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates with his permission numerous exercises from those notes. The volume includes an Appendix that helps bridge the gap between metric and topological spaces, a Selected Bibliography, and an Index.

Architect's Pocket Book

Architect's Pocket Book PDF

Author: Charlotte Baden-Powell

Publisher: Routledge

Published: 2007-06

Total Pages: 322

ISBN-13: 1136429301

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This fully revised edition of the pocket book includes everyday information which the architect/designer normally has to find from a wide variety of sources and which is not always easily to hand. The book is of use to the student as well as the experienced practitioner. There is no similar compendium currently available. The book includes data about planning, structure, services, building elements, materials and addresses, and is intended to be used both at the drawing board and on site. The selection of the material by the author is based on many years' experience of architectural practice in both public and private offices. Now fully updated to take into account the new 2002 editions to the Building Regulations documents H, J, L1 and L2. Charlotte Baden-Powell was trained at the Architectural Association in London and has practised as an architect for 38 years. She began by working for British Rail and later for Sir Denys Lasdun. Since then she has run her own practice in London and Bath, dealing with new works as well as the restoration and extension of old buildings. She has written and lectured about the design of kitchens and bathrooms and is the author of Fireplace Design and Construction.

Gradient Flows

Gradient Flows PDF

Author: Luigi Ambrosio

Publisher: Springer Science & Business Media

Published: 2008-10-29

Total Pages: 334

ISBN-13: 376438722X

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The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

Planning

Planning PDF

Author: Edward David Mills

Publisher: Butterworth-Heinemann

Published: 1985

Total Pages: 680

ISBN-13:

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