عنوان
پدید آورنده
موضوع
رده
QA300
QA300
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789811309380
(Number (ISBN
9811309388
Erroneous ISBN
9789811309373
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Real and complex analysis.
General Material Designation
[Book]
First Statement of Responsibility
Rajnikant Sinha.
Volume Designation
Volume 1 /
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Singapore :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (ix, 637 pages)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Chapter 1. Lebesgue Integration -- Chapter 2. Lp-Spaces -- Chapter 3. Fourier Transforms -- Chapter 4. Holomorphic and Harmonic Functions -- Chapter 5. Conformal Mapping -- Chapter 6. Analytic Continuation -- Chapter 7. Special Functions.
0
SUMMARY OR ABSTRACT
Text of Note
This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz-Fischer theorem, Vitali-Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9789811309380
TOPICAL NAME USED AS SUBJECT
Mathematical analysis.
Mathematical analysis.
DEWEY DECIMAL CLASSIFICATION
Number
515
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA300
PERSONAL NAME - PRIMARY RESPONSIBILITY
Sinha, Rajnikant
ORIGINATING SOURCE
Date of Transaction
20200823224322.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
