Computations in Algebraic Geometry with Macaulay 2
by D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels
Publisher: Springer 2001
Number of pages: 343
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications.
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by Miroslav Josipovic - viXra
This text is a motivational survey of geometric algebra in 3D. The intention here was to use simple examples and reader is referred to the independent problem solving. The active reading of text is recommended, with paper and pencil in hand.
by Ralph Howard - Royal Institute of Technology Stockholm
The main goal of these notes is to give a proof of the basic facts of harmonic analysis on compact symmetric spaces and then to apply these to concrete problems involving things such as the Radon and related transforms on these spaces.
by S.S. Abhyankar - Tata Institute Of Fundamental Research
From the table of contents: Meromorphic Curves; G-Adic Expansion and Approximate Roots; Characteristic Sequences of a Meromorphic Curve; The Fundamental Theorem and applications; Irreducibility, Newton's Polygon; The Jacobian Problem.
by H.F. Baker - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.