TY - BOOK AU - Taylor, L. Joseph TI - Foundations of analysis SN - 9781470425791 AV - QA154 PY - 2016///] CY - Rhode, Island PB - American Mathematical Society KW - Mathematics N1 - 1- The real numbers 2- Sequences 3- Continuous functions 4- The derivative 5- The integral 6- Infinite series 7- Convergence in Euclidean space 8- Functions on Euclidean space 9- Differentiation in several variables 10- Integration in several variables 11- Vector calculus N2 - Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. --- summary provided by publisher ER -