2 edition of **Introduction to Hilbert space.** found in the catalog.

Introduction to Hilbert space.

Sterling K. Berberian

- 172 Want to read
- 32 Currently reading

Published
**1961**
by Oxford University Press in New York
.

Written in English

- Hilbert space.

**Edition Notes**

Includes bibliography.

Series | University texts in the mathematical sciences |

Classifications | |
---|---|

LC Classifications | QA691 .B4 |

The Physical Object | |

Pagination | 206 p. |

Number of Pages | 206 |

ID Numbers | |

Open Library | OL17769345M |

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. In this video, I introduce the Hilbert Space and describe its properties. Questions? Let me know in the comments! Prereqs: Previous video on vector spaces, knowledge of what real and rational.

A Hilbert space is a mathematical concept covering the extra-dimensional use of Euclidean space—i.e., a space with more than three dimensions. A Hilbert space uses the mathematics of two and three dimensions to try and describe what happens in greater than three dimensions. It is named after David Hilbert.. Vector algebra and calculus are methods normally used in the two-dimensional. “Introduction to Hilbert Space” was a very important and fundamental topic, but for most students it was far too fundamental. Despite the low attendance the professor had to start his presentation. Like all Piki, he was too small to use the lectern in the intended way and like all proud Piki, he refused to use a /5(18).

An Introduction to Hilbert Space - by N. Young July We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Over exercises provide examples and counter-examples for definitions and theorems in the book, as well as generalization of some material in the text. Aside from being an exposition of basic material on Hilbert space, this book may also serve as an introduction to other areas of functional analysis.2/5(1).

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This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in Cited by: Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and by: The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics.

Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the This textbook is an introduction to the theory of Hilbert spaces and /5(12).

From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated Brand: Springer-Verlag New York.

This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics.

Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in. Introduction to Hilbert Space book. Read reviews from world’s largest community for readers. Presents an introduction to Hilbert Space.

This book treats /5(7). Description of the book "Introduction to Hilbert Space and the Theory of Spectral Multiplicity": Reprint of Edition.

Full facsimile of the original edition, not. Buy An Introduction to Hilbert Space (Cambridge Mathematical Textbooks) 1 by Young, N. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(6). This textbook is an introduction to the theory of Hilbert space and its applications.

The notion of Hilbert space is central in functional analysis and is used in numerous Cited by: Hilbert space, emerged from Hilbert’s e orts to generalize the concept of Euclidean space to an in nite dimensional space [7].

The theory of Hilbert space that Hilbert and others de-veloped has not only greatly enriched the world of mathematics but has proven extremely useful in the development of scienti c theories, particularly quantum. Introduction to Hilbert spaces with applications Article (PDF Available) in Journal of Applied Mathematics and Stochastic Analysis 3(4) January with 3, Reads How we measure 'reads'.

Introduction to Hilbert Spaces with Applications by Debnath, Lokenath; Mikusinski, Piotr and a great selection of related books, art and collectibles available now at The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions.A Hilbert space is an abstract vector space possessing the structure of an inner product that allows.

: An Introduction to Hilbert Space (Cambridge Mathematical Textbooks) () by Young, N. and a great selection of similar New, Used and /5(12). In this video, I describe two types of Hilbert Spaces, finite-dimensional and infinite-dimensional.

Questions. Let me know in the comments. Prereqs: The two videos in. Hilbert spaces provide a user-friendly framework for the study of a wide range of subjects, from Fourier Analysis to Quantum Mechanics.

Ideas from linear algebra underlie much of what follows, so we begin with a brief review of linear (or vector) spaces. De nition: A linear space is a set Xwith an associated scalar eld F (in this course either File Size: KB. What makes this book probably stand apart from other standard books on finite-dimensional linear algebra is the introduction to Hilbert Space Theory.

The generic model of a finite-dimensional Hilbert space (real or complex) is IRn or sn but the true relevance of operators in Hilbert spaces surfaces only when they are infinite-dimensional. This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory.

All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. However, I am not aware of similar types of books for the theory of Hilbert spaces.

The book that comes most closely to what I have in mind is probably Halmos' A Hilbert Space Problem Book. However, as the title of this book indicates, this book is meant as a problem book and not really a reference text.

An Introduction to Hilbert Space Young N. Year: Publisher: CUP. Language: english. Pages: ISBN File: DJVU, MB. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that.

Which book either on functional analysis or specifically for Hilbert spaces has the best way of explaining with most examples and to the point without much applications. I studied Limaye's book and Kreyszig's book but all the books on functional analysis are too clumsy for me.This book is based on lectures given in a one-quarter course at UCLA.

The aim. is to present som.e of the basic concepts and techniques of Functional of relevance to n problem.s in Control.

ion and other areas in System. Science. The students are expected to have had an introductory course in Hilbert Space theory.Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis.

It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs.