Search Results for "forms"

Geometry of Differential Forms

Geometry of Differential Forms

  • Author: Shigeyuki Morita
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821810453
  • Category: Mathematics
  • Page: 321
  • View: 9816
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Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. This book is a comprehensive introduction to differential forms. It begins with a quick presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and Frobenius theorems.The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated in the book is a detailed description of the Chern-Weil theory. With minimal prerequisites, the book can serve as a textbook for an advanced undergraduate or a graduate course in differential geometry.

The Algebraic and Geometric Theory of Quadratic Forms

The Algebraic and Geometric Theory of Quadratic Forms

  • Author: Richard S. Elman,Nikita Karpenko,Alexander Merkurjev
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821873229
  • Category: Mathematics
  • Page: 435
  • View: 5537
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This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.

Forms

Forms

Whole, Rhythm, Hierarchy, Network

  • Author: Caroline Levine
  • Publisher: Princeton University Press
  • ISBN: 1400852609
  • Category: Literary Criticism
  • Page: 192
  • View: 2636
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A radically new way of thinking about form and context in literature, politics, and beyond Forms offers a powerful new answer to one of the most pressing problems facing literary, critical, and cultural studies today—how to connect form to political, social, and historical context. Caroline Levine argues that forms organize not only works of art but also political life—and our attempts to know both art and politics. Inescapable and frequently troubling, forms shape every aspect of our experience. Yet, forms don't impose their order in any simple way. Multiple shapes, patterns, and arrangements, overlapping and colliding, generate complex and unpredictable social landscapes that challenge and unsettle conventional analytic models in literary and cultural studies. Borrowing the concept of "affordances" from design theory, this book investigates the specific ways that four major forms—wholes, rhythms, hierarchies, and networks—have structured culture, politics, and scholarly knowledge across periods, and it proposes exciting new ways of linking formalism to historicism and literature to politics. Levine rereads both formalist and antiformalist theorists, including Cleanth Brooks, Michel Foucault, Jacques Rancière, Mary Poovey, and Judith Butler, and she offers engaging accounts of a wide range of objects, from medieval convents and modern theme parks to Sophocles's Antigone and the television series The Wire. The result is a radically new way of thinking about form for the next generation and essential reading for scholars and students across the humanities who must wrestle with the problem of form and context.

Forms Under Revised Article 9

Forms Under Revised Article 9

  • Author: American Bar Association. Task Force on Forms under Revised Article 9
  • Publisher: American Bar Association
  • ISBN: 9781590310816
  • Category: Security (Law)
  • Page: 268
  • View: 4091
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"... a collection of many forms likely to be useful to attorneys who practice commercial law in general, and who provide financial transactions services ... [also] offers ... analyses of the role of the form in the larger context of Revised Article 9 of the Uniform Commercial Code and other applicable law." -- Introd.

A Project Manager's Book of Forms

A Project Manager's Book of Forms

A Companion to the PMBOK Guide

  • Author: Cynthia Snyder Stackpole
  • Publisher: John Wiley & Sons
  • ISBN: 1118000250
  • Category: Technology & Engineering
  • Page: 256
  • View: 7979
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This source book of forms and procedures for using them follows exactly the content of the PMBOK® Guide. It provides a road-map approach so readers know exactly where they are and what forms precede and follow their current position on a project. The volume contains forms in hard copy for reproduction as well as in an accompanying CD for use and customization by a wide variety of project managers, consultants, and other associated professionals. (PMBOK is a registered mark of the Project Management Institute, Inc.)

The 1-2-3 of Modular Forms

The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway

  • Author: Jan Hendrik Bruinier,Gerard van der Geer,Günter Harder,Don Zagier
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540741190
  • Category: Mathematics
  • Page: 266
  • View: 3795
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This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.

Plato's Forms

Plato's Forms

Varieties of Interpretation

  • Author: William A. Welton
  • Publisher: Lexington Books
  • ISBN: 9780739105146
  • Category: Philosophy
  • Page: 321
  • View: 2428
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The "theory of forms" usually attributed to Plato is one of the most famous of philosophical theories, yet it has engendered such controversy in the literature on Plato that scholars even debate whether or not such a theory exists in his texts. Plato's Forms: Varieties of Interpretation is an ambitious work that brings together, in a single volume, widely divergent approaches to the topic of the forms in Plato's dialogues. With contributions rooted in both Anglo-American and Continental philosophy, the book illustrates the contentious role the forms have played in Platonic scholarship and suggests new approaches to a central problem of Plato studies.

Development and Formulation of Veterinary Dosage Forms, Second Edition

Development and Formulation of Veterinary Dosage Forms, Second Edition

  • Author: Gregory E. Hardee,J. Desmond Baggo
  • Publisher: CRC Press
  • ISBN: 9781420001860
  • Category: Medical
  • Page: 504
  • View: 6780
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This up-to-the-minute Second Edition of an incomparable resource describes in detail the bases for developing dosage forms for use in animals-highlighting the data necessary to meet regulatory approval. Demonstrates the successful characterization, control, and registration of new veterinary medicines! Thoroughly rewritten and enlarged to reflect the technical advances that have occurred since the previous edition, Development and Formulation of Veterinary Dosage Forms, Second Edition discusses the reasons for dosage form selection explains the latest available technologies examines new drug therapeutics reveals up-to-date techniques and applications for pharmacokinetic data covers the formulation of products derived from biotechnology elucidates recent analytical methods shows how to determine the type of dosage form appropriate for particular species and more! Written by a team of international authorities from North America and Europe and containing over 1100 bibliographic citation, figures, and tables, Development and Formulation of Veterinary Dosage Forms, Second Edition is an essential reference for pharmaceutical, animal, and quality control scientists; research pharmacists and pharmacologists; veterinarians; drug quality assurance and regulatory personnel in government and industry; pathologists; microbiologists; virologists; physiologists; toxicologists; and upper-level undergraduate and graduate students in these disciplines.

Basic Forms in Music

Basic Forms in Music

  • Author: Charles W. Walton
  • Publisher: Alfred Music
  • ISBN: 9781457408229
  • Category: Music
  • Page: 224
  • View: 7357
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Musical forms are illustrated through representative literature of all periods. Includes complete examples as well as suggestions for further listening and analytical experiences.

Colonialism and Its Forms of Knowledge

Colonialism and Its Forms of Knowledge

The British in India

  • Author: Bernard S. Cohn,David Scott (anthropologue.)
  • Publisher: Princeton University Press
  • ISBN: 9780691000435
  • Category: History
  • Page: 189
  • View: 1390
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Bernard Cohn's interest in the construction of Empire as an intellectual and cultural phenomenon has set the agenda for the academic study of modern Indian culture for over two decades. His earlier publications have shown how dramatic British innovations in India, including revenue and legal systems, led to fundamental structural changes in Indian social relations. This collection of his writings in the last fifteen years discusses areas in which the colonial impact has generally been overlooked. The essays form a multifaceted exploration of the ways in which the British discovery, collection, and codification of information about Indian society contributed to colonial cultural hegemony and political control. Cohn argues that the British Orientalists' study of Indian languages was important to the colonial project of control and command. He also asserts that an arena of colonial power that seemed most benign and most susceptible to indigenous influences--mostly law--in fact became responsible for the institutional reactivation of peculiarly British notions about how to regulate a colonial society made up of "others." He shows how the very Orientalist imagination that led to brilliant antiquarian collections, archaeological finds, and photographic forays were in fact forms of constructing an India that could be better packaged, inferiorized, and ruled. A final essay on cloth suggests how clothes have been part of the history of both colonialism and anticolonialism.