Cornerstones of Real Analysis

Description

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Advanced Real Analysis (available separately or together as a Set via the Related Links nearby), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics.

Key topics and features of Basic Real Analysis:

* Early chapters treat the fundamentals of real variables, sequences and series of functions, the theory of Fourier series for the Riemann integral, metric spaces, and the theoretical underpinnings of multivariable calculus and differential equations

* Subsequent chapters develop the Lebesgue theory in Euclidean and abstract spaces, Fourier series and the Fourier transform for the Lebesgue integral, point-set topology, measure theory in locally compact Hausdorff spaces, and the basics of Hilbert and Banach spaces

* The subjects of Fourier series and harmonic functions are used as recurring motivation for a number of theoretical developments

* The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them

* The text includes many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most of the problems

Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate students preparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician.




Mirror -> Depositfiles

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Cornerstones of Real Analysis" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 1480
2. Cornerstones of Real Analysis
3. Advanced Algebra (Cornerstones)
4. Problems in Real Analysis: Advanced Calculus on the Real Axis
5. Twenty-First Century Psycholinguistics: Four Cornerstones
6. Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis)
7. [request_ebook] Fun of Programming (Cornerstones of Computing)
8. The Real Book of Real Estate: Real Experts. Real Stories. Real Life
9. Real and Complex Clifford Analysis (Advances in Complex Analysis and Its Applications)
10. [request_ebook] Commercial Real Estate Analysis and Investments
11. Real Analysis
12. Real Analysis
13. Real Analysis
14. Real Analysis
15. A Course in Real Analysis
16. Real Analysis