How to Write Clearly and Effectively: A Guide to Everyday Writing in Your Business and Social Life - Softcover

McCloskey, Frank Howland

Softcover

ISBN 10: 1258476347 ISBN 13: 9781258476342

Publisher: Literary Licensing, LLC, 2012

Synopsis

There are also a lot of historical comments spread throughout the text, as well as references to further developments and related results. The book is clearly written, with elegant proofs, and can be recommended as a good introductory course for students in mathematics, but also for those in engineering, physics, economics, needing a quick but rigorous presentation of basic results and tools of functional analysis. Zentralblatt Math This book contains many applications of the abstract results of functional analysis to ordinary differential and integral equations, harmonic analysis, summability, etc. It is well written and can serve as a textbook for an introductory course in functional analysis. Mathematical Reviews This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators. There are also a lot of historical comments spread throughout the text, as well as references to further developments and related results. The book is clearly written, with elegant proofs, and can be recommended as a good introductory course for students in mathematics, but also for those in engineering, physics, economics, needing a quick but rigorous presentation of basic results and tools of functional analysis. Zentralblatt Math This book contains many applications of the abstract results of functional analysis to ordinary differential and integral equations, harmonic analysis, summability, etc. It is well written and can serve as a textbook for an introductory course in functional analysis. Mathematical Reviews This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

Edition details

• Publisher: Literary Licensing, LLC
• Publication date: 2012
• Language: English
• ISBN 10: 1258476347
• ISBN 13: 9781258476342
• Binding: Paperback
• Number of pages: 286