carnevalemanfredonia.it
» » Elementary Real Analysis: Second Edition (2008)

eBook Elementary Real Analysis: Second Edition (2008) download

by Judith B. Bruckner,Andrew M. Bruckner,Brian S. Thomson

eBook Elementary Real Analysis: Second Edition  (2008) download ISBN: 143484367X
Author: Judith B. Bruckner,Andrew M. Bruckner,Brian S. Thomson
Publisher: Createspace Independent Pub; 2 edition (April 7, 2008)
Language: English
Pages: 684
ePub: 1255 kb
Fb2: 1254 kb
Rating: 4.9
Other formats: rtf azw lrf lit
Category: Math Sciences
Subcategory: Mathematics

by Andrew M. Bruckner (Author), Judith B. Bruckner (Author) . Brian S. Thomson (Author) & 0 more.

by Andrew M. Bruckner (Author), Brian S. Thomson (Author). Find all the books, read about the author, and more. Are you an author? Learn about Author Central. ISBN-13: 978-1434844125.

Brian S. Thomson (Author), Judith B. Bruckner (Author), Andrew M. .has been added to your Cart. Bruckner (Author) & 0 more. ISBN-13: 978-1434841612.

Prentice-Hall, 2001, xv 735 pp. The present title contains Chapters 1-8. Thomson Judith B. Bruckner Andrew M. Bruckner

Brian S. Bruckner. This version of Elementary Real Analysis contains all the chapters of the text. com, 2008, xvi 740 pp. Designing a Course We have attempted to write this book in a manner sufficiently flexible to make it possible to use the book for courses of various lengths and a variety of levels of mathematical sophistication.

The book is really good. It provides a clear exposition of almost all basic real analysis topics. Really, this is one of the most pedagogical books I have read for elementary real analysis. It is excellent as a complement for more advanced books, but limited for self study, because there isn't a solutions manual so that you can check your answers. It would be great if the authors could publish one (many of the other books the have written have one). Very highly recommended for everyone's library.

Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis. Thomson · judith b bruckner · Andrew M Bruckner. The 19th century saw a systematic development of real analysis in which many theorems were proved using compactness. As to its conceptual nature, Pincherle's theorem may be found as in a Monthly paper aiming to provide conceptually easy proofs of well-known the- orems. In the work of Dini, Pincherle, Bolzano, Young, Riesz, and Lebesgue, one finds such proofs which (sometimes with minor modification) additionally are highly uniform in the sense that the objects proved to exist only depend on few of the parameters of the theorem.

For a trade paperback copy of the text, with the same numbering of Theorems and Exercises (but with different page numbering), please visit our web site. Original Citation: Elementary Real Analysis, Brian S. Thomson, Judith B. Bruckner, Andrew M. Prentice-Hall, 2001, xv 735 p.

For beginning graduate-level courses in Real Analysis, Measure Theory, Lebesque Integration, and Functional Analysis. An important new graduate text that motivates the reader by providing the historical evolution of modern analysis. Sensitive to the needs of students with varied backgrounds and objectives, this text presents the tools, methods and history of analysis. The text includes the topics that "every graduate student must know" as well as specialized topics that prepare students for further study in analysis.

This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001. Chapter 1. Real Numbers Chapter 2. Sequences Chapter 3. Infinite sums Chapter 4. Sets of real numbers Chapter 5. Continuous functions Chapter 6. More on continuous functions and sets Chapter 7. Differentiation Chapter 8. The Integral Chapter 9. Sequences and series of functions Chapter 10. Power series Chapter 11. Euclidean Space R^n Chapter 12. Differentiation on R^n Chapter 13. Metric Spaces
Comments: (7)
Buriwield
The book is really good. It provides a clear exposition of almost all basic real analysis topics. It is excellent as a complement for more advanced books, but limited for self study, because there isn't a solutions manual so that you can check your answers. It would be great if the authors could publish one (many of the other books the have written have one).
Fani
I am a Data Scientist by profession with CS and EE background, I have reached a point in my career where I needed to go beyond LSE based optimizations. Long story short, I realized I have to strengthen my concepts in sequences, convergence, sets, etc. before I can really appreciate Hilbert Spaces, and take a deeper dive into more cutting edge optimizations techniques.
This book is like a story book, authors have accomplished a feat of unproportional amount to make it so intuitive and succinct. There are rare books that are written with such clarity and diligence towards readers. I highly recommend to those who are taking course in undergrad on this subject, specially to those who do self study, this is an extremely fundamental and critical subject and this book is equally spot on.
Sermak Light
You will probably need some previous exposure to analysis to really appreciate this one but if you do not have such - you will have to take it on faith that this book is the ultimate real analysis reference to introduce you to the subject and help you master it in ways suitable to any further study that would need mathematical analysis.. Seriously.
Cherry The Countess
Really, this is one of the most pedagogical books I have read for elementary real analysis.
Very highly recommended for everyone's library.
Meri
Good beginner book
Gashakar
Very good book
Malodred
Reasonably good book for beginners - authors are completely unresponsive to requests for additional information.
I am in love with this book. I have no idea how many analysis books I have already worked with now ( a lot) - none of them can
match up with this book. It is just beautiful: Clear exposition of ideas, exposition of ideas which get one even more interested, expositions in a way that help you grasp the concepts intuitively before delving into the formal details. And when it comes to the formalism, it is still precise enough to be suited for a math major. Not only that, it contains also chapters on points or metric spaces, and even explores topics as the Baire category theorem or the Lebesgue-Integral in the supplementary & advanced sections of the book (which are non-mandatory for the understanding of the rest). From time to time you will even find references to the history and philosophy of mathematics. This book is my bible.