Calculus Illustrated. Volume 4: Calculus in Higher Dimensions

The author has taught mathematics at U.S. universities for over 25 years. This book grew directly out of that classroom experience: it has been in continuous use with students and is regularly revised based on their needs and feedback. Its main goal is to deepen the reader's understanding rather than to prepare for any specific exam.This is the fourth volume of the series Calculus Illustrated, a textbook for undergraduate students.Mathematical thinking is often visual. The exposition in this book is driven by its 600 color illustrations.Another unique feature of this book is its study of incremental phenomena well in advance of their continuous counterparts. It is called “Discrete Calculus”.CONTENTSChapter 1: Functions in multidimensional spacesChapter 2: Parametric curvesChapter 3: Functions of several variablesChapter 4: The gradientChapter 5: The integralChapter 6: Vector fields Read more