Modern Geometry— Methods and Applications PDF Download

Author: B.A. Dubrovin
Publisher: Springer Science & Business Media
ISBN: 0387961623
Category : Mathematics
Languages : en
Pages : 452

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Book Description
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.

Author: Frank Klaassen
Publisher: Penn State Press
ISBN: 0271056266
Category : Religion
Languages : en
Pages : 292

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Book Description
"Explores two principal genres of illicit learned magic in late Medieval manuscripts: image magic, which could be interpreted and justified in scholastic terms, and ritual magic, which could not"--Provided by publisher.

Author: John P. Kotter
Publisher: Harvard Business Press
ISBN: 1422186431
Category : Business & Economics
Languages : en
Pages : 210

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Book Description
From the ill-fated dot-com bubble to unprecedented merger and acquisition activity to scandal, greed, and, ultimately, recession -- we've learned that widespread and difficult change is no longer the exception. By outlining the process organizations have used to achieve transformational goals and by identifying where and how even top performers derail during the change process, Kotter provides a practical resource for leaders and managers charged with making change initiatives work.

Author: Giuliana Bruno
Publisher: University of Chicago Press
ISBN: 022611483X
Category : Art
Languages : en
Pages : 292

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Book Description
What is the place of materiality—the expression or condition of physical substance—in our visual age of rapidly changing materials and media? How is it fashioned in the arts or manifested in virtual forms? In Surface, cultural critic and theorist Giuliana Bruno deftly explores these questions, seeking to understand materiality in the contemporary world. Arguing that materiality is not a question of the materials themselves but rather the substance of material relations, Bruno investigates the space of those relations, examining how they appear on the surface of different media—on film and video screens, in gallery installations, or on the skins of buildings and people. The object of visual studies, she contends, goes well beyond the image and engages the surface as a place of contact between people and art objects. As Bruno threads through these surface encounters, she unveils the fabrics of the visual—the textural qualities of works of art, whether manifested on canvas, wall, or screen. Illuminating the modern surface condition, she notes how façades are becoming virtual screens and the art of projection is reinvented on gallery walls. She traverses the light spaces of artists Robert Irwin, James Turrell, Tacita Dean, and Anthony McCall; touches on the textured surfaces of Isaac Julien’s and Wong Kar-wai’s filmic screens; and travels across the surface materiality in the architectural practices of Diller Scofidio + Renfro and Herzog & de Meuron to the art of Doris Salcedo and Rachel Whiteread, where the surface tension of media becomes concrete. In performing these critical operations on the surface, she articulates it as a site in which different forms of mediation, memory, and transformation can take place. Surveying object relations across art, architecture, fashion, design, film, and new media, Surface is a magisterial account of contemporary visual culture.

Author: B.A. Dubrovin
Publisher: Springer
ISBN: 9780387908724
Category : Mathematics
Languages : en
Pages : 464

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Book Description
manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S. P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S. P. Novikov and A. T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S. P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B. A. Dubrovin.

Author: Ezra F. Vogel
Publisher: Harvard University Press
ISBN: 0674257413
Category : Biography & Autobiography
Languages : en
Pages : 553

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Book Description
Winner of the Lionel Gelber Prize National Book Critics Circle Award Finalist An Economist Best Book of the Year | A Financial Times Book of the Year | A Wall Street Journal Book of the Year | A Washington Post Book of the Year | A Bloomberg News Book of the Year | An Esquire China Book of the Year | A Gates Notes Top Read of the Year Perhaps no one in the twentieth century had a greater long-term impact on world history than Deng Xiaoping. And no scholar of contemporary East Asian history and culture is better qualified than Ezra Vogel to disentangle the many contradictions embodied in the life and legacy of China’s boldest strategist. Once described by Mao Zedong as a “needle inside a ball of cotton,” Deng was the pragmatic yet disciplined driving force behind China’s radical transformation in the late twentieth century. He confronted the damage wrought by the Cultural Revolution, dissolved Mao’s cult of personality, and loosened the economic and social policies that had stunted China’s growth. Obsessed with modernization and technology, Deng opened trade relations with the West, which lifted hundreds of millions of his countrymen out of poverty. Yet at the same time he answered to his authoritarian roots, most notably when he ordered the crackdown in June 1989 at Tiananmen Square. Deng’s youthful commitment to the Communist Party was cemented in Paris in the early 1920s, among a group of Chinese student-workers that also included Zhou Enlai. Deng returned home in 1927 to join the Chinese Revolution on the ground floor. In the fifty years of his tumultuous rise to power, he endured accusations, purges, and even exile before becoming China’s preeminent leader from 1978 to 1989 and again in 1992. When he reached the top, Deng saw an opportunity to creatively destroy much of the economic system he had helped build for five decades as a loyal follower of Mao—and he did not hesitate.

Author: Chaohao Gu
Publisher: Springer Science & Business Media
ISBN: 1402030886
Category : Science
Languages : en
Pages : 317

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Book Description
The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years. Audience: The book has been written for specialists, teachers and graduate students (or undergraduate students of higher grade) in mathematics and physics.

Author: Michele Tracy Berger
Publisher: Routledge
ISBN: 1135045186
Category : Social Science
Languages : en
Pages : 460

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Book Description
Transforming Scholarship is a user-friendly work of practical guidance and inspiration for supporting a student's interest in a Women's Studies degree. Berger and Radeloff use empirical evidence to help students with the major barriers they face when exploring Women's Studies: the negative response a student often faces when announcing to the world that he or she is interested in Women’s Studies; and the perceived lack of employment and career options that supposedly comes with graduating with a Women's Studies degree. This book will support students to think critically about what they know, how to demonstrate what they know, and how to prepare for life both personally and professionally after the degree. Transforming Scholarship is a practical guide for students interested in women’s and gender studies that targets advanced undergraduates who have a firm connection to the discipline. This book is ideal for women’s and gender capstone courses, and for those who have finished their degree and need a resource to assist in conceptualizing the answers to the question "What’s next?" This second edition of Transforming Scholarship focuses on areas that undergraduates might want integrate into their women’s and gender studies education: study abroad, civic engagement projects, internships, independent studies, and honors theses. It includes exercises to help flesh out talents, passions, and skills, and how to link them to employment, information about the diversity of employment opportunities (and further professional training) available, and a plan to help prepare for graduation. It also delves into how to live a feminist life after graduation, including activism after college, building and sustaining feminist communities, and feminist parenting. The authors have also added new "Point of View" boxes throughout the book, where scholars focus on contemporary issues and deepen a student’s understanding of the organizations and individuals fighting to end sexist oppression.

Author: C. Rogers
Publisher: Cambridge University Press
ISBN: 9780521012881
Category : Mathematics
Languages : en
Pages : 436

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Book Description
This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.

Author: Christine DeVine
Publisher: Cambridge Scholars Publishing
ISBN: 1443832367
Category : Juvenile Nonfiction
Languages : en
Pages : 205

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Book Description
From the Irish Cailleach and other shape-shifters of folk legends to modern movie “transformers”; from Ovid’s Metamorphoses to the moment when Gregor Samsa woke up one morning to find himself transformed into an insect in Kafka’s novella; from conversion narratives to slave narratives, turning points and transformations have always been central to literary works and to cultural developments. In fact, with Freytag’s pyramid in mind, one could claim that all literary works focus on the trope of a transformation born of a turning point, because such moments comprise the very essence and vitality of human life and culture. But why are turning points necessarily transformational and in what way? And what brings about those turning points in language, literature, culture and human lives? These are essentially the questions the essays in this volume seek to answer. The contributors examine turning points and transformations – personal, literary and cultural – brought about through the randomness of the universe as well as through human interference, and discuss ways in which humans in general and writers in particular, through their art, experience and cope with the ineluctable results.