Classical Analysis of Real Valued Functions is popular PDF and ePub book, written by V.S. Serov in 2023-09-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Classical Analysis of Real Valued Functions can be Read Online from any device for your convenience.
Classical Analysis of Real Valued Functions Book PDF Summary
Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to differential geometry, Fourier series, differential equations, and other subjects. The first part of Classical Analysis of Real-Valued Functions covers the theorems of existence of supremum and infimum of bounded sets on the real line and the Lagrange formula for differentiable functions. Applications of these results are crucial for classical mathematical analysis, and many are threaded through the text. In the second part of the book, the implicit function theorem plays a central role, while the Gauss–Ostrogradskii formula, surface integration, Heine–Borel lemma, the Ascoli–Arzelà theorem, and the one-dimensional indefinite Lebesgue integral are also covered. This book is intended for first and second year students majoring in mathematics although students of engineering disciplines will also gain important and helpful insights. It is appropriate for courses in mathematical analysis, functional analysis, real analysis, and calculus and can be used for self-study as well.
Detail Book of Classical Analysis of Real Valued Functions PDF
- Author : V.S. Serov
- Release : 11 September 2023
- Publisher : SIAM
- ISBN : 9781611977677
- Genre : Mathematics
- Total Page : 423 pages
- Language : English
- PDF File Size : 13,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Classical Analysis of Real Valued Functions by V.S. Serov, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
