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Handbook of Measure Theory: In two volumes

Science and Technics


by
E. Pap

Book Details

Format: EPUB

Page count: 1,632 pages

File size: 22.1 MB

Protection: DRM

Language: English

The main goal of this Handbook is

to survey measure theory with its many different branches and its

relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which

support the idea of “measure” in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various

areas they contain many special topics and challenging

problems valuable for experts and rich sources of inspiration.

Mathematicians from other areas as well as physicists, computer

scientists, engineers and econometrists will find useful results and

powerful methods for their research. The reader may find in the

Handbook many close relations to other mathematical areas: real

analysis, probability theory, statistics, ergodic theory,

functional analysis, potential theory, topology, set theory,

geometry, differential equations, optimization, variational

analysis, decision making and others. The Handbook is a rich

source of relevant references to articles, books and lecture

notes and it contains for the reader’s convenience an extensive

subject and author index.

The main goal of this Handbook is

to survey measure theory with its many different branches and its

relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which

support the idea of “measure” in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various

areas they contain many special topics… (more)

The main goal of this Handbook is

to survey measure theory with its many different branches and its

relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which

support the idea of “measure” in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various

areas they contain many special topics and challenging

problems valuable for experts and rich sources of inspiration.

Mathematicians from other areas as well as physicists, computer

scientists, engineers and econometrists will find useful results and

powerful methods for their research. The reader may find in the

Handbook many close relations to other mathematical areas: real

analysis, probability theory, statistics, ergodic theory,

functional analysis, potential theory, topology, set theory,

geometry, differential equations, optimization, variational

analysis, decision making and others. The Handbook is a rich

source of relevant references to articles, books and lecture

notes and it contains for the reader’s convenience an extensive

subject and author index.

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