The Theory Of Difference

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Difference Equations, Second Edition

In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.
Rethinking Difference in Gender, Sexuality, and Popular Music

In studies of gender and sexuality in popular music, the concept of difference is often a crucial analytic used to detect social agency; however, the alternative analytic of ambiguity has never been systematically examined. While difference from heterosexual norms is taken to be the multivalent sign of resistance, oppression, and self-invention, it can lead to inflated claims of the degree and power of difference. This book offers critically-oriented case studies that examine the theory and politics of ambiguity. Ambiguity means that there are both positive and negative implications in any gender and sexuality practices, both sameness and difference from heteronormativity, and unfixed possibility in the diverse nature of discourse and practice (rather than just "difference" among fixed multiplicities). Contributors present a diverse array of approaches through music, sound, psyche, body, dance, performance, race, ethnicity, power, discourse, and history. A wide variety of popular music genres are broached, including gay circuit remixes, punk rock, Goth music, cross-dress performance, billboard 100 songs, global pop, and nineteenth-century minstrelsy. The authors examine the ambiguities of performance and reception, and address the vexed question of whether it is possible for genuinely new forms of gender and sexuality to emerge musically. This book makes a distinctive contribution to studies of gender and sexuality in popular music, and will be of interest to fields including Popular Music Studies, Musicology/Ethnomusicology, Cultural Studies, Queer Studies, and Media Studies.
Sexual Difference

A history of feminism and women's rights in Italy. No index. Annotation copyrighted by Book News, Inc., Portland, OR