Tight and taut manifolds form an important and special class of surfaces within differential geometry. This book contains in-depth articles by experts in the field as well as an extensive and comprehensive bibliography. This survey will open new avenues for further research and will be an important addition to any geometer's library.
Introduction to the Theory of GroupsAnyone who has studied "abstract algebra" and linear algebra as an undergraduate can understand this book. This edition has been completely revised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions. The first six chapters provide ample material for a first course: beginning with the basic properties of groups and homomorphisms, topics covered include Lagrange's theorem, the Noether isomorphism theorems, symmetric groups, G-sets, the Sylow theorems, finite Abelian groups, the Krull-Schmidt theorem, solvable and nilpotent groups, and the Jordan-Holder theorem.
How do buildings store information and experience in their shape and form? Michael Leyton has attracted considerable attention with his interpretation of geometrical form as a medium for the storage of information and memory. In this publication he draws specific conclusions for the field of architecture and construction, attaching fundamental importance to the complex relationship between symmetry and asymmetry.
Algebra Success in 20 Minutes a Day, 4th Edition (Skill Builders)
Algebra Success in 20 Minutes a Day, 4th Edition is a wonderful introduction or refresher course in basic algebra, including working with integers, equations, inequalities, radicals, and the quadratic formula. It offers 20 simple lessons that promote quick but thorough coverage of practical, essential skills. There is an emphasis on the applicability of algebra skills to real-world and real-work problems. Algebra Success includes a FREE online link to instantly scored practice exercises.
Floer Homology, Gauge Theory, and Low Dimensional Topology
Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such connections. Historically, these equations have come from mathematical physics, and play an important role in the description of the electro-weak and strong nuclear forces.
