TY - BOOK AU - Lebl,Jiří ED - BC Open Textbook Project, ED - BCcampus. TI - Basic analysis: introduction to real analysis, volume II AV - QA300 .L432 2020eb PB - Jiří Lebl KW - Mathematical analysis KW - Functions of real variables KW - Electronic books N1 - This work is licensed under the Creative Commons Attribution NonCommercial ShareAlike International CC-BY-NC-SA and Creative Commons Attribution ShareAlike International CC-BY-SA; This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license; 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 N2 - "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 UR - https://open.bccampus.ca/browse-our-collection/find-open-textbooks/?uuid=eb105be4-a7dc-4ebc-b5ce-b4eeaed238f5&contributor=&keyword=&subject= UR - http://solr.bccampus.ca:8001/bcc/file/eb105be4-a7dc-4ebc-b5ce-b4eeaed238f5/1/OTB255-01-Basic-Analysis-Introduction-to-Real-Analysis-Volume-2.pdf UR - https://www.jirka.org/ra/html/frontmatter-1.html ER -