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Algebra and Geometry
This volume contains five review articles, three in the Al gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968. v CONTENTS ALGEBRA RING THEORY L. A. Bokut', K. A. Zhevlakov, and E. N. Kuz'min § 1. Associative Rings. . . . . . . . . . . . . . . . . . . . 3 § 2. Lie Algebras and Their Generalizations. . . . . . . 13 ~ 3. Alternative and Jordan Rings. . . . . . . . . . . . . . . . 18 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
Global Homotopy Theory
A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.
Cubical Homotopy Theory
A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.
From Turbine to Wind Farms
This book is a timely compilation of the different aspects of wind energy power systems. It combines several scientific disciplines to cover the multi-dimensional aspects of this yet young emerging research field. It brings together findings from natural and social science and especially from the extensive field of numerical modelling.
Representations of Finite Dimensional Algebras
This volume contains the proceedings of the Tsukuba International Conference on Representations of Algebras and Related Topics (fifth ICRA), held at the University of Tsukuba, August 13-18, 1990. The conference focused on the rapid development of research on representations of finite-dimensional algebras and group representations. A subset of the fifty-seven lectures are collected here, together with a number of other papers not originally presented at the conference. With contributions by some of the world's leading experts in this area, this book provides a valuable overview of the frontier of research in representations of algebras.
Character Theory and the McKay Conjecture
Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.
Representations of Solvable Lie Groups and their Applications
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Nanoindentation in Materials Science
Nanotechnologies have already attracted massive interest in multiple fields of science and industry. In the past decades, we have witnessed the progress in micro-level experimental techniques that revolutionize the material science. Designing new materials based on the knowledge of mechanics of their building blocks and microstructure manipulations at nanometer scale have become a reality. Nanoindentation, as a leading micro-level mechanical testing technique, has attracted wide attention in numerous research fields and applications. Nowadays, an extensive variety of testing areas ranging from classical thin coatings in machinery engineering, electronics and composites to far fields of civil engineering, biomechanics, implantology or even agriculture can be covered with this universal testing tool. The book aims to be a walk through achievements in some of the distant fields and to give a brief overview of the current frontiers in nanoindentation. Although it is not possible to cover the whole width of the possible themes in one book, it is believed that the reader will benefit from the topics variety and the book will serve as a useful source of literature references.
Differential Geometry of Singular Spaces and Reduction of Symmetry
In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.
