عنوان
پدید آورنده
موضوع
رده
QA300 .B29I6 2014
QA300
.
B29I6
2014
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
:9780128010013
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
bnb
Number
986596
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Mathematical Analysis Fundamentals
General Material Designation
[book]
First Statement of Responsibility
\ A. E. Bashirov
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Amsterdam
Name of Publisher, Distributor, etc.
: Elsevier
Date of Publication, Distribution, etc.
, 2014
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 348 p.
Other Physical Details
:ill.
SERIES
Series Title
Elsevier Insights
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Bibliography
Text of Note
Index
CONTENTS NOTE
Text of Note
1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E,E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals.
0
SUMMARY OR ABSTRACT
Text of Note
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces. Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration.Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.--
TOPICAL NAME USED AS SUBJECT
Mathematical analysis.
Analysis.
آنالیز ریاضی
آنالیز
DEWEY DECIMAL CLASSIFICATION
Number
515
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA300
Book number
.
B29I6
2014
PERSONAL NAME - PRIMARY RESPONSIBILITY
Bashirov, Agamirza E.
ORIGINATING SOURCE
Date of Transaction
20160130163100.0
Cataloguing Rules (Descriptive Conventions))
rda
BL
270410
1
Y
