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Author: Jun Zhang
Publisher: Springer Nature
ISBN: 3030378888
Category : Mathematics
Languages : en
Pages : 152
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Book Description
This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry. Much of this material has, until now, been scattered throughout the existing literature; this text finally collects that information into one convenient volume. After providing an overview of symplectic geometry, ranging from its background to modern developments, the author reviews the preliminaries with precision. This refresher ensures readers are prepared for the thorough exploration of the Tamarkin category that follows. A variety of applications appear throughout, such as sheaf quantization, sheaf interleaving distance, and sheaf barcodes from projectors. An appendix offers additional perspectives by highlighting further useful topics. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic analysis method. A background in algebra and differential geometry is recommended. This book is part of the "Virtual Series on Symplectic Geometry" http://www.springer.com/series/16019
Author: Jun Zhang
Publisher: Springer Nature
ISBN: 3030378888
Category : Mathematics
Languages : en
Pages : 152
Get Book Here
Book Description
This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry. Much of this material has, until now, been scattered throughout the existing literature; this text finally collects that information into one convenient volume. After providing an overview of symplectic geometry, ranging from its background to modern developments, the author reviews the preliminaries with precision. This refresher ensures readers are prepared for the thorough exploration of the Tamarkin category that follows. A variety of applications appear throughout, such as sheaf quantization, sheaf interleaving distance, and sheaf barcodes from projectors. An appendix offers additional perspectives by highlighting further useful topics. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic analysis method. A background in algebra and differential geometry is recommended. This book is part of the "Virtual Series on Symplectic Geometry" http://www.springer.com/series/16019
Author: Edwin J. Elton
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 742
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Book Description
This introduction to the advanced concepts of investment analysis and portfolio management has been revised to include many new examples. There are new chapters on financial securities and financial markets, together with advice on the use of arbitrary pricing theory, bond management and more.
Author: George M. Frankfurter
Publisher: World Scientific
ISBN: 9812770003
Category : Business & Economics
Languages : en
Pages : 238
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Book Description
The current literature on financial economics is dominated by neoclassical dogma and, supposedly, the notion of value-neutrality. However, the failure of neoclassical economics to deal with real financial phenomena suggests that this might be too simplistic of an approach. This book consists of a collection of essays dealing with financial markets'' imperfections, and the inability of neoclassical economics to deal with such imperfections. Its central argument is that financial economics, as based on the tenets of neoclassical economics, cannot answer or solve the real-life problems that people face. It also shows the direct relationship between economics and politics OCo something that is usually denied in academic models, given that science is supposed to be value-neutral. In this thought-provoking and avant-garde book, the author not only exposes what has gone wrong, but also suggests reforms to both the academic and the political-economic systems that might help make markets fair rather than efficient. Drawing on interdisciplinary fields, this book will appeal to readers who are interested in finance, economics, business, the political economy and philosophy. Sample Chapter(s). Foreword (37 KB). Chapter 1: Method and Methodology (146 KB). Contents: Method and Methodology; What is All Efficiency?; Still Autistic Finance; The Young Finance Faculty''s Guide to Publishing; Prolific Authors in Finance; For-Profit Education: An Idea That Should be Put to Rest?; Weep Not for Microsoft: Monopoly''s Fatal Exception; The Socio-Economics of Scandals; Desperately Seeking Toto; And Now for Something Entirely Different; After the Ball; Capitalism or Industrial Fiefdom; The Theory of Fair Markets (TFM): Toward a New Finance Paradigm. Readership: Graduate students of finance; students of economics, economic methodology and philosophy of science."
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821831359
Category : Differentiable functions
Languages : en
Pages : 276
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Book Description
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 626
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 814
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Book Description
Author: Maurice S. Lee
Publisher: Princeton University Press
ISBN: 0691259240
Category : Literary Criticism
Languages : en
Pages : 296
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Book Description
An engaging look at how debates over the fate of literature in our digital age are powerfully conditioned by the nineteenth century's information revolution What happens to literature during an information revolution? How do readers and writers adapt to proliferating data and texts? These questions appear uniquely urgent today in a world of information overload, big data, and the digital humanities. But as Maurice Lee shows in Overwhelmed, these concerns are not new—they also mattered in the nineteenth century, as the rapid expansion of print created new relationships between literature and information. Exploring four key areas—reading, searching, counting, and testing—in which nineteenth-century British and American literary practices engaged developing information technologies, Overwhelmed delves into a diverse range of writings, from canonical works by Coleridge, Emerson, Charlotte Brontë, Hawthorne, and Dickens to lesser-known texts such as popular adventure novels, standardized literature tests, antiquarian journals, and early statistical literary criticism. In doing so, Lee presents a new argument: rather than being at odds, as generations of critics have viewed them, literature and information in the nineteenth century were entangled in surprisingly collaborative ways. An unexpected, historically grounded look at how a previous information age offers new ways to think about the anxieties and opportunities of our own, Overwhelmed illuminates today’s debates about the digital humanities, the crisis in the humanities, and the future of literature.
Author: Helmut Hofer
Publisher: Springer Nature
ISBN: 3030780074
Category : Mathematics
Languages : en
Pages : 1001
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Book Description
This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts.
Author: Arthur D. Watt
Publisher: Elsevier
ISBN: 1483152308
Category : Technology & Engineering
Languages : en
Pages : 724
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Book Description
Electromagnetic Waves, Volume 14: VLF Radio Engineering provides a detailed coverage of the fields involved in very low frequency (VLF) radio engineering. This book serves as a guide for applying the information in the solution of practical problems. Comprised of seven chapters, this volume starts with an overview of the communications aspect following the flow of information carrying energy from the transmitting to receiving locations. This text then presents the complete systems that consider the interrelationship of the various factors. Other chapters explain the basic concept of a VLF antenna, which is a vertical electric monopole over a perfectly conducting flat plane. This book discusses as well the radio wave propagation at VLF, which has been studied theoretically and experimentally for many years. The final chapter deals with the primary components of a complete VLF radio system. This book is a valuable resource for radio engineers, scientists, and researchers.
Author: Donald MacKenzie
Publisher: MIT Press
ISBN: 0262250047
Category : Technology & Engineering
Languages : en
Pages : 782
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Book Description
In An Engine, Not a Camera, Donald MacKenzie argues that the emergence of modern economic theories of finance affected financial markets in fundamental ways. These new, Nobel Prize-winning theories, based on elegant mathematical models of markets, were not simply external analyses but intrinsic parts of economic processes. Paraphrasing Milton Friedman, MacKenzie says that economic models are an engine of inquiry rather than a camera to reproduce empirical facts. More than that, the emergence of an authoritative theory of financial markets altered those markets fundamentally. For example, in 1970, there was almost no trading in financial derivatives such as "futures." By June of 2004, derivatives contracts totaling $273 trillion were outstanding worldwide. MacKenzie suggests that this growth could never have happened without the development of theories that gave derivatives legitimacy and explained their complexities. MacKenzie examines the role played by finance theory in the two most serious crises to hit the world's financial markets in recent years: the stock market crash of 1987 and the market turmoil that engulfed the hedge fund Long-Term Capital Management in 1998. He also looks at finance theory that is somewhat beyond the mainstream—chaos theorist Benoit Mandelbrot's model of "wild" randomness. MacKenzie's pioneering work in the social studies of finance will interest anyone who wants to understand how America's financial markets have grown into their current form.
