Description
Book SynopsisThis is a book on many variable calculus. It is the second volume of a set of two. It includes proofs of all theorems presented, either in the text itself, or in an appendix. It also includes a sufficient introduction to linear algebra to allow the accurate presentation of many variable calculus.The use of elementary linear algebra in presenting the topics of multi- variable calculus is more extensive than usual in this book. It makes many of these topics easier to understand and remember. The book will prepare readers for more advanced math courses and also for courses in physical science.
Table of ContentsMatrices and Linear Transformations; Determinants; Spectral Theory; Vector Valued Functions; Vector Valued Functions of One Variable; Motion on a Space Curve; Some Curvilinear Coordinate Systems; Functions of Many Variables; The Derivative of a Function of Many Variables; Optimization; The Riemann Integral on ℝn; The Integral in Other Coordinates; The Integral on Two Dimensional Surfaces in ℝ3; Calculus of Vector Fields; Stokes and Green's Theorems.
