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Module Theory, Extending Modules and Generalizations
The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature. With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area. Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.
Cathay
Finalist, Pegasus Award for Poetry Criticism Ezra Pound’s Cathay (1915) is a masterpiece both of modernism and of world literature. The muscular precision of images that mark Pound’s translations helped establish a modern style for American literature, at the same time creating a thirst for classical Chinese poetry in English. Pound’s dynamic free-verse translations in a modern idiom formed the basis for T.S. Eliot’s famous claim that Pound was the “inventor of Chinese poetry for our time.” Yet Pound achieved this feat without knowing any Chinese, relying instead on word-for-word “cribs” left by the Orientalist Ernest Fenollosa, whose notebooks reveal a remarkable story of su...
Interactive Documentary
Interactive documentary is still an emerging field that eludes concise definitions or boundaries. Grounded in practice-based research, this collection seeks to expand the sometimes exclusionary field, giving voice to scholars and practitioners working outside the margins. Editors Kathleen M. Ryan and David Staton have curated a collection of chapters written by a global cohort of scholars to explore the ways that interactive documentary as a field of study reveals an even broader reach and definition of humanistic inquiry itself. The contributors included here highlight how emerging digital technologies, collaborative approaches to storytelling, and conceptualizations of practice as research...
Learning Theory and Kernel Machines
This book constitutes the joint refereed proceedings of the 16th Annual Conference on Computational Learning Theory, COLT 2003, and the 7th Kernel Workshop, Kernel 2003, held in Washington, DC in August 2003. The 47 revised full papers presented together with 5 invited contributions and 8 open problem statements were carefully reviewed and selected from 92 submissions. The papers are organized in topical sections on kernel machines, statistical learning theory, online learning, other approaches, and inductive inference learning.
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TEXTBOOK OF TENSOR CALCULUS AND DIFFERENTIAL GEOMETRY
Primarily intended for the undergraduate and postgraduate students of mathematics, this textbook covers both geometry and tensor in a single volume. This book aims to provide a conceptual exposition of the fundamental results in the theory of tensors. It also illustrates the applications of tensors to differential geometry, mechanics and relativity. Organized in ten chapters, it provides the origin and nature of the tensor along with the scope of the tensor calculus. Besides this, it also discusses N-dimensional Riemannian space, characteristic peculiarity of Riemannian space, intrinsic property of surfaces, and properties and transformation of Christoffel’s symbols. Besides the students of mathematics, this book will be equally useful for the postgraduate students of physics. KEY FEATURES : Contains 250 worked out examples Includes more than 350 unsolved problems Gives thorough foundation in Tensors
