عنوان
پدید آورنده
موضوع
رده
QA300 .H45 2019
QA300
.
H45
2019
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3030269035
(Number (ISBN
9783030269036
Erroneous ISBN
3030269019
Erroneous ISBN
9783030269012
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to real analysis /
General Material Designation
[Book]
First Statement of Responsibility
Christopher Heil.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2019]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Graduate texts in mathematics ;
Volume Designation
280
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Preliminaries -- 1. Metric and Normed Spaces -- 2. Lebesgue Measure -- 3. Measurable Functions -- 4. The Lebesgue Integral -- 5. Differentiation -- 6. Absolute Continuity and the Fundamental Theorem of Calculus -- 7. The Lp Spaces -- 8. Hilbert Spaces and L^2(E) -- 9. Convolution and the Fourier Transform.
0
SUMMARY OR ABSTRACT
Text of Note
Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the authors lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject. The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more. Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph. D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course.
OTHER EDITION IN ANOTHER MEDIUM
Title
Introduction to real analysis.
International Standard Book Number
9783030269012
TOPICAL NAME USED AS SUBJECT
Mathematical analysis.
Mathematical analysis.
DEWEY DECIMAL CLASSIFICATION
Number
515
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA300
Book number
.
H45
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Heil, Christopher,1960-
ORIGINATING SOURCE
Date of Transaction
20200823093642.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
