Basic analysis. II : introduction to real analysis, volume II / by Jiří Lebl.
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TextPublisher: Jiří Lebl, Distributor: BCcampus, BC Open Textbook Project Edition: Version 2.3Description: 1 online resource (195 pages) : illustrationsOther title: Introduction to real analysis, volume II | Basic analysis two | Introduction to real analysis, volume twoSubject(s): Mathematical analysis | Functions of real variablesGenre/Form: Electronic books.LOC classification: QA300 | .L432 2020ebOnline resources: BC Open Textbook Project title homepage. | BC Open Textbook Project. | jirka.org HTML File. | Item type | Current library | Call number | URL | Status | Date due | Barcode | Item holds |
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eBook
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Digital Library
Resources in this library are accessible in digital format e.g. eBooks or eJournals accessible online. |
QA300 .L432 2020eb (Browse shelf(Opens below)) | Link to resource | Available |
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Includes bibliographical references and index.
Chapter 8. Several variables and partial derivatives -- Chapter 9. One-dimensional integrals in several variables -- Chapter 10 Multivariable integral -- Chapter 11. Functions as limits.
"This book is a continuation of Basic Analysis: Introduction to Real Analysis - Volume 1. Volume II continues into multivariable analysis, starting with differential calculus, including inverse and implicit function theorems, continuing with differentiation under the integral and path integrals, which are often not covered in a course like this, and multivariable Riemann integral. Finally, there is also a chapter on power series, Arzelà-Ascoli, Stone-Weierstrass, and Fourier series. Together, the two volumes provide enough material for several different types of year-long sequences. A student who absorbs the first volume and the first three chapters of volume II should be more than prepared for real and complex analysis courses at the graduate level"--BCcampus website.
Description based on online resource; title from pdf title page (viewed on July 27, 2020).
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