quartonews.it » Math and Science » Linear Functional Analysis (Springer Undergraduate Mathematics Series)

Author: | Bryan Rynne,M.A. Youngson |

Subcategory: | Mathematics |

Language: | English |

Publisher: | Springer (September 20, 2006) |

Pages: | 273 pages |

Category: | Math and Science |

Rating: | 4.5 |

Other formats: | lrf rtf doc azw |

Linear Functional Analysis. Authors: Rynne, Bryan, Youngson, . Linear Functional Analysis.

Linear Functional Analysis. Contains a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. Extended coverage of the uniform boundedness theorem. This is an undergraduate introduction to functional analysis, with minimal prerequisites, namely linear algebra and some real analysis. It is extensively cross-referenced, has a good index, a separate index of symbols (Very Good Feature), and complete solutions to all the exercises. Springer Undergraduate Mathematics Series.

Ships from and sold by Blackwell's . Tracked Service to the USA. The book is readable and conceptually useful for undergraduate students in mathematics and physics.

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Further Linear Algebra (Springer Undergraduate Mathematics Series). Vector Calculus (Springer Undergraduate Mathematics Series). Real Analysis (Springer Undergraduate Mathematics Series). Ultimately, this is a very good book on Functional Analysis, full of useful information for the mathematician, and it shows you how far Analysis, as a subject, extends beyond the basic idea of "a more rigorous version of single-variable calculus".

This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate . Linear Functional Analysis Springer Undergraduate Mathematics Series.

This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Издание: иллюстрированное.

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material.

Springer Undergraduate Mathematics Series. Bryan P. Rynne and Martin A. Youngson. Chaplain University of Dundee K. Erdmann Oxford University . acIntyre Queen Mary, University of London . Rogers University of Cambridge E. Süli Oxford University . Toland University of Bath. Rynne, BSc, PhD Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK.

Springer Undergraduate Mathematics Series Advisory Board . Complex Analysis (Springer Undergraduate Mathematics Series) Geometry (Springer Undergraduate Mathematics Series). Symmetries (Springer Undergraduate Mathematics Series).

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material.

The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations.

Further highlights of the second edition include:

a new chapter on the Hahn–Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis;

extended coverage of the uniform boundedness theorem;

plenty of exercises, with solutions provided at the back of the book.

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