Having the right answer doesn't guarantee understanding. Encouraging students' development of intuition, this original work begins with a review of basic mathematics and advances to infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore multivariable and vector calculus, partial differential equations, numerical and complex analysis, tensors, complex analysis, and more. 2010 edition.
Multivariable calculus: See especially the sections on multvariable calculus, vector calculus 1, and vector calculus 2. *also : George Cain and James Herod, Multivariable Calculus. Available online ~~~ for ode after terrell book : See especially the sections on ordinary differential equations and Fourier series ~~~ for pde after terrell : See especially the section on partial differential equations.