Introduction to Algebraic Geometry
by Yuriy Drozd
Number of pages: 104
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.
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by Robert Hermann - Math Sci Press
Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.
by Marc Levine - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
by J.S. Milne
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
by Donu Arapura - Purdue University
Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author maintains a reasonable balance between rigor and intuition; so it retains the informal quality of lecture notes.