Basic Algebraic Geometry 1

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture.

Differential calculus in one variable: theory and applications for optimisation, approximations, and plotting functions

by Elena Guardo (Author), Adam Van Tuyl (Author)
Authors are the leading experts on the subject of arithmetically Cohen-Macaulay sets of points in multiprojective spaces
All necessary prerequisites are clearly explained and illustrated with carefully chosen examples
Presents a solution to the interpolation problem for ACM sets of points in P^1 x P^1 along with several applications

Authors: Guirao, Antonio J., Montesinos, Vicente, Zizler, Václav
Provides an invaluable survey of open problems for mathematicians developing MSc and PhD theses in Banach space theory
Presents a selection of open problems, encompassing the longstanding as well as the recent; the general and the more localized
Includes a comprehensive index listing featured problems by subject, concept, and symbols