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Grassmann Algebra

John Browne
Grassmann Algebra
Contents: Introduction; The Exterior Product; The Regressive Product;Geometric Interpretations; The Complement; The Interior Product; Exploring Screw Algebra; Exploring Mechanics; Exploring Grassmann Algebra; Exploring the Generalized Product; Exploring Hypercomplex Algebra; Exploring Clifford Algebra; Exploring Grassmann Matrix Algebra....

Physical Applications of Geometric Algebra

Anthony Lasenby and Chris Doran
Physical Applications of Geometric Algebra
Contents: 1 An Introduction to Geometric Algebra 2 Geometric Algebra of 3-d Space 3 Foundations of Geometric Algebra 4 Groups, Bivectors and Hamiltonian Mechanics 5 Linear Algebra 6 Balanced Algebras and Projective Geometry 7 Geometric Calculus 8 Spacetime Algebra 9...

Lectures on Commutative Algebra

Sudhir R. Ghorpade
Lectures on Commutative Algebra
These notes are based on the lectures given at the NBHM sponsored Annual Foundational School-II held at Bhaskaracharya Pratishthana, Pune and the Department of Mathematics, University of Pune in June 2006. Like the earlier notes, A Quick Review of Commutative...

A Course In Commutative Algebra

Robert B. Ash
A Course In Commutative Algebra
Contents: Ring Theory Background; Primary Decomposition and Associated Primes; Integral Extensions; Valuation Rings; Completion; Dimension Theory; Depth; Homological Methods; Regular Local Rings....

Commutator Theory for Congruence Modular Varieties

Ralph Freese and Ralph McKenzie
Commutator Theory for Congruence Modular Varieties
Contents: The Commutator in Groups and Rings; Universal Algebra; One Commutator in Modular Varieties;Its Basic Properties; The Fundamental Theorem on Abelian Algebras; Permutability and a Characterization ofModular Varieties; The Center and Nilpotent Algebras; Congruence Identities; Rings Associated With Modular Varieties:...

Instabilities in crystal growth by atomic or molecular beams

Paolo Politi, Genevieve Grenet, Alain Marty, Anne Ponchet, Jacques Villain
Instabilities in crystal growth by atomic or molecular beams
The planar front of a growing a crystal is often destroyed by instabilities. In the case of growth from a condensed phase, the most frequent ones are diffusion instabilities, which will be but briefly discussed in simple terms in chapter...