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Список книг автора Группа авторовFourier Analysis
A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. This pioneering resource tells the full story of Fourier analysis, including its history and its impact on the development of modern mathematical analysis, and also discusses essential concepts and today's applications. Written at a rigorous level, yet in an engaging style that does not dilute the material, Fourier Analysis brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Systematic and comprehensive, the book: Presents material using a cause-and-effect approach, illustrating where ideas originated and what necessitated them Includes material on wavelets, Lebesgue integration, L2 spaces, and related concepts Conveys information in a lucid, readable style, inspiring further reading and research on the subject Provides exercises at the end of each section, as well as illustrations and worked examples throughout the text Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, and physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real-world situations.
Water Waves
Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.
Petri Nets
A Petri net is a mathematical representation of a network. This book first introduces the basic models including time and stochastic extensions, in particular place-transition and high level Petri nets. Their modeling and design capabilities are illustrated by a set of representations of interest in operating and communication systems. The volume then addresses the related verification problems and proposes corresponding solutions by introducing the main notions needed to fully understand the behavior and properties behind Petri nets. Particular attention is devoted to how systems can be fully represented and analyzed in terms of their behavioral, time, and stochastic aspects by using the same formal approach and semantic basis. Finally, illustrative examples are presented in the important fields of interoperability in telecommunication services, programming languages, multimedia architectures, manufacturing systems, and communication protocols.
Linear Algebra
Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.
Classical Algebra
This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject. Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precursors. This book successfully ties together the disconnect between classical and modern algebraand provides readers with answers to many fascinating questions that typically go unexamined, including: What is algebra about? How did it arise? What uses does it have? How did it develop? What problems and issues have occurred in its history? How were these problems and issues resolved? The author answers these questions and more, shedding light on a rich history of the subject—from ancient and medieval times to the present. Structured as eleven «lessons» that are intended to give the reader further insight on classical algebra, each chapter contains thought-provoking problems and stimulating questions, for which complete answers are provided in an appendix. Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, Classical Algebra: Its Nature, Origins, and Uses is an excellent book for mathematics courses at the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics.
Studying Shakespeare
This engaging book draws on all of Shakespeare's plays to show they can still be used as a guide to life. Introduces beginning students and general readers to Shakespeare's plays by highlighting the connections between the issues addressed by the plays and those of our own time. Focuses on the characters, situations and stories in Shakespeare which are still familiar today. Shows how Shakespeare's plays illustrate some of life's most familiar stories – love and obsession, parents and children, sex and politics, suffering and revenge Makes Shakespeare’s plays accessible to the widest possible audience.
Roland Barthes
This book provides a lively introduction to the work of Roland Barthes, one of the twentieth century's most important literary and cultural theorists. The book covers all aspects of Barthes's writings including his work on literary theory, mass communications, the theatre and politics. Moriarty argues that Barthes's writing must not be seen as an unchanging body of thought, and that we should study his ideas in the contexts within which they were formulated, debated and developed.
Psychoanalytic Criticism
What is psychoanalytic criticism and how can it be justified as a type of criticism in its own right? In this new and thoroughly revised edition of her classic textbook, Elizabeth Wright provides a cogent answer to this question and a wide-ranging introduction to psychoanalytic criticism from Freud to the present day. Since each school of psychoanalysis has its own theory of the aesthetic process, the field is complex. Adopting a critical perspective, Elizabeth Wright focuses on major figures and texts in psychoanalysis and in literary and art criticism: classical psychoanalysis; Jungian analytic psychology; objects-relations theory; French psychoanalysis; French anti-psychoanalysis; feminist psychoanalytic criticism. Across these divisions certain problems recur, problems which conceal themselves in a wide range of surprising places, from Shakespearean tragedy to performance theatre from magic realism to detective fiction, from the German Lied to Wagner. These areas are investigated with reference to rival psychoanalytic theories, while connections are traced between the aesthetic process and the psychoanalytic approach. Already established as the leading introduction to the field, this new edition of Psychoanalytic Criticism will be essential reading for students of literature and literary theory, psychoanalysis, feminism and feminist theory, cultural studies and the humanities generally.
Helene Cixous
This book is a clear and accessible introduction to the writings of Helene Cixous, novelist, dramatist and critic, whose work has had a major impact on feminist theory and practice. Susan Sellers, a major scholar on Cixous, provides a lucid account of Cixous's theoretical position, and in particular her distinctive theory of an 'écriture féminine'. She discusses the development of Cixous's literary oeuvre in the context of this theory, and analyses a selection of the works in detail to illustrate the different stages in Cixous's writing career. Focusing on the key novels and plays, Sellers explores a range of issues and themes central to her work; the correlation between the death of Cixous's own father and her 'coming-into-being' as a writer; the psychological process of separation and individuation and the creation of a female authorial self; the discovery of the other and the dramatization of love; the delineation/depiction of an alternative form of relationship between self and other which would have a significance in a wider sphere than that of the merely personal. This much-needed book will be welcomed by students in literature and literary theory, feminism and women's studies, English and French studies and philosophy.
Edward Said
Edward Said is one of the foremost thinkers writing today. His work as a literary and cultural critic, a political commentator, and the champion of the cause of Palestinian rights has given him a unique position in western intellectual life. This new book is a major exploration and assessment of his writings in all these main areas. Focusing on Said's insistence on the connection between literature, politics and culture, Kennedy offers an overview and assessment of the main strands of Said's work, drawing out the links and contradictions between each area. The book begins with an examination of Orientalism, one of the founding texts of post-colonial studies. Kennedy looks at the book in detail, probing both its strengths and weaknesses, and linking it to its sequel, Culture and Imperialism. She then examines Said's work on the Palestinian people, with his emphasis on the need for a Palestinian narrative to counter pro-Israeli accounts of the Middle East, and his searing criticisms of US, Israeli, and even Arab governments. The book closes with an examination of Said's importance in the field of post-colonial studies, notably colonial discourse analysis and post-colonial theory, and his significance as a public intellectual. This book will be of great interest to anyone studying post-colonialism, literary theory, politics, and the Middle East, as well as anyone interested in Said's writings.