Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces

Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces PDF Author: Andreĭ Nikolaevich Kolmogorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description

Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces

Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces PDF Author: Andreĭ Nikolaevich Kolmogorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description


Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]

Elements of the Theory of Functions and Functional Analysis [Two Volumes in One] PDF Author: A. N. Kolmogorov
Publisher: Martino Fine Books
ISBN: 9781614273042
Category : Mathematics
Languages : en
Pages : 280

Get Book Here

Book Description
2012 Reprint of Volumes One and Two, 1957-1961. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. A. N. Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, logic, turbulence, classical mechanics and computational complexity. Later in life Kolmogorov changed his research interests to the area of turbulence, where his publications beginning in 1941 had a significant influence on the field. In classical mechanics, he is best known for the Kolmogorov-Arnold-Moser theorem. In 1957 he solved a particular interpretation of Hilbert's thirteenth problem (a joint work with his student V. I. Arnold). He was a founder of algorithmic complexity theory, often referred to as Kolmogorov complexity theory, which he began to develop around this time. Based on the authors' courses and lectures, this two-part advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems.

Elements of the Theory of Functions and Functional Analysis. Volume 1

Elements of the Theory of Functions and Functional Analysis. Volume 1 PDF Author: Andrej Nikolaevič Kolmogorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 129

Get Book Here

Book Description


Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis PDF Author: Andre? Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486406831
Category : Mathematics
Languages : en
Pages : 292

Get Book Here

Book Description
Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Elements of the Theory of Functions and Functional Analysis. Volume 1: Metric and Normed Spaces

Elements of the Theory of Functions and Functional Analysis. Volume 1: Metric and Normed Spaces PDF Author: A.N. Kolmogorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 128

Get Book Here

Book Description


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations PDF Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600

Get Book Here

Book Description
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Introductory Functional Analysis with Applications

Introductory Functional Analysis with Applications PDF Author: Erwin Kreyszig
Publisher: John Wiley & Sons
ISBN: 0471504599
Category : Mathematics
Languages : en
Pages : 706

Get Book Here

Book Description
KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

A Course in Functional Analysis and Measure Theory

A Course in Functional Analysis and Measure Theory PDF Author: Vladimir Kadets
Publisher: Springer
ISBN: 3319920049
Category : Mathematics
Languages : en
Pages : 553

Get Book Here

Book Description
Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

Functional Analysis

Functional Analysis PDF Author: Kosaku Yosida
Publisher: Springer Science & Business Media
ISBN: 3662117916
Category : Mathematics
Languages : en
Pages : 480

Get Book Here

Book Description


Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis PDF Author: A. N. Kolmogorov
Publisher: Dover Publications
ISBN: 9780486697598
Category :
Languages : en
Pages : 0

Get Book Here

Book Description
Concise, rigorous presentation of most of the elements of the theory of metric spaces and normed linear spaces. Discussions of set theory, measure and the Lebesgue integral, theory of functions of a real variable, linear operator equations, more. Translated from the first (1954) Russian edition. Bibliography.