Offers an introduction to functions of two variables important to careers both within and outside of mathematics. This book includes a section on tangent lines, emphasis on the chain rule, a rearrangement of several chapters, refined examples, and exercises. It maintains a balance between intuition, explanation, methodology, and justification.

Infinite dimensional holomorphy is the study of holomorphic or analytic func- tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini- tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and...