Multivariable and Vector Analysis
by WWL Chen
This set of notes has been organized in such a way to create a single volume suitable for an introduction to some of the basic ideas in multivariable and vector analysis.
To read the notes, click the chapters below for connection to the appropriate PDF files.
The material is available free to all individuals, on the understanding that it is not to be used for financial gain, and may be downloaded and/or photocopied, with or without permission from the author. However, the documents may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible to any individuals other than its owners.
SECTION A --- MULTIVARIABLE ANALYSIS
Chapter 1: FUNCTIONS OF SEVERAL VARIABLES
Chapter 2: DIFFERENTIATION
Chapter 3: IMPLICIT AND INVERSE FUNCTION THEOREMS
Chapter 4: HIGHER ORDER DERIVATIVES
Chapter 5: DOUBLE AND TRIPLE INTEGRALS
Chapter 6: CHANGE OF VARIABLES
SECTION B --- VECTOR ANALYSIS
Chapter 7: PATHS
Chapter 8: VECTOR FIELDS
Chapter 9: INTEGRALS OVER PATHS
Chapter 10: PARAMETRIZED SURFACES
Chapter 11: INTEGRALS OVER SURFACES
Chapter 12: INTEGRATION THEOREMS