Mathematical Analysis II by Elias Zakon
Share this page:-
We need Your Support, Kindly Share this Web Page with Other Friends
Congratulations, the link is avaliable for free download.
About this book :-
This final text in the Zakon Series on Mathematics Analysis follows the release of the author's Basic Concepts of Mathematics and Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses in functional analysis, harmonic analysis, probability theory, etc.
The first chapter extends calculus to n-dimensional Euclidean space and, more generally, Banach spaces, covering the inverse function theorem, the implicit function theorem, Taylor expansions, etc. Some basic theorems in functional analysis, including the open mapping theorem and the Banach-Steinhaus uniform boundedness principle, are also proved.
The text then moves to measure theory, with a complete discussion of outer measures, Lebesgue measure, Lebesgue-Stieltjes measures, and differentiation of set functions. The discussion of measurable functions and integration in the following chapter follows an innovative approach, carefully choosing one of the equivalent definitions of measurable functions that allows the most intuitive development of the material. Fubini's theorem, the Radon-Nikodym theorem, and the basic convergence theorems (Fatou's lemma, the monotone convergence theorem, dominated convergence theorem) are covered.
Finally, a chapter relates antidifferentiation to Lebesgue theory, Cauchy integrals, and convergence of parametrized integrals.
Nearly 500 exercises allow students to develop their skills in the area.
Book Detail :-
This book has following details information.
Title:
Mathematical Analysis II by Elias Zakon by NA
Publisher:
Trillia Group
Series:
FreeCompBooks
Year:
2009
Pages:
424
Type:
PDF
Language:
English
ISBN-10 #:
1931705038
ISBN-13 #:
Country:
Pakistan
License:
CC BY 3.0
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
6. Differentiation on En and Other Normed Linear Spaces
7. Volume and Measure
8. Measurable Functions. Integration
9. Calculus Using Lebesgue Theory
Note :-
We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn.
If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS.
Thank you.
Now please OPEN for DOWNLOAD the BOOK.
'
Similar
Mathematical Analysis
Books
|
Mathematical Analysis II by Elias Zakon
This final text in the Zakon Series on Mathematics Analysis follows the release of the author's Basic Concepts of Mathematics and Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses in function . . . READ MORE
|
|
|
Real Variables with Basic Metric Space Topology Robert Ash
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Gear . . . READ MORE
|
|
|
Mathematical Analysis I, Elias Zakon
This book carefully leads the student through the basic topics of real analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, . . . READ MORE
|
|
|
Introduction to Mathematical Analysis Beatriz Lafferriere
This set of lecture notes provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after compl . . . READ MORE
|
|
|
Applied Analysis by John Hunter, Bruno Nachtergaele
This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical r . . . READ MORE
|
|