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Measure and Integral

- Theory and Practice
Af: John Srdjan Petrovic Engelsk Hardback

Measure and Integral

- Theory and Practice
Af: John Srdjan Petrovic Engelsk Hardback
Tjek vores konkurrenters priser

This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them.

This material in Measure and Integral: Theory and Practice is typically covered in a graduate course and is almost always treated in an abstract way, with little or no motivation.  The author employs a plethora of examples and exercises and strives to motivate every concept with its historical background. This textbook is accessible to a wider range of students, including at the undergraduate level.

A major problem facing anyone teaching measure theory is how to combine the elementary approach (measure on the real line or in the plane) and the abstract measure theory. The author develops a theory of measure in the plane, then shows how to generalize these ideas to an abstract setting.

The result is a textbook accessible to a wider range of students.

The material requires a good understanding of topics often referred to as advanced calculus, such as Riemann integration on Euclidean spaces and series of functions. Also, a reader is expected to be proficient in the basics of set theory and point-set topology, preferably including metric spaces.

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Tjek vores konkurrenters priser
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Tjek vores konkurrenters priser

This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them.

This material in Measure and Integral: Theory and Practice is typically covered in a graduate course and is almost always treated in an abstract way, with little or no motivation.  The author employs a plethora of examples and exercises and strives to motivate every concept with its historical background. This textbook is accessible to a wider range of students, including at the undergraduate level.

A major problem facing anyone teaching measure theory is how to combine the elementary approach (measure on the real line or in the plane) and the abstract measure theory. The author develops a theory of measure in the plane, then shows how to generalize these ideas to an abstract setting.

The result is a textbook accessible to a wider range of students.

The material requires a good understanding of topics often referred to as advanced calculus, such as Riemann integration on Euclidean spaces and series of functions. Also, a reader is expected to be proficient in the basics of set theory and point-set topology, preferably including metric spaces.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 510
ISBN-13: 9781032712420
Indbinding: Hardback
Udgave:
ISBN-10: 1032712422
Kategori: Regning og matematisk analyse
Udg. Dato: 27 jan 2025
Længde: 35mm
Bredde: 242mm
Højde: 164mm
Forlag: Taylor & Francis Ltd
Oplagsdato: 27 jan 2025
Forfatter(e): John Srdjan Petrovic
Forfatter(e) John Srdjan Petrovic

Kategori Regning og matematisk analyse

ISBN-13 9781032712420

Sprog Engelsk

Indbinding Hardback

Sider 510

Udgave

Længde 35mm

Bredde 242mm

Højde 164mm

Udg. Dato 27 jan 2025

Oplagsdato 27 jan 2025

Forlag Taylor & Francis Ltd