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Author: Ovidiu Racorean
Publisher: CreateSpace
ISBN: 9781494456634
Category :
Languages : en
Pages : 118
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Book Description
In The News: Business Insider - "Hedge fund researcher is working on a higher dimensional geometric model of the stock market" International Business Times - "How do you picture the stock market: a bunch of guys yelling at computer screens on Wall Street? A long list of figures in the paper? Or, perhaps, an ever-shifting, higher dimensional jewel? The latter vision is that of Ovidiu Racorean... " The large public is, for the first time, invited to take a closer look through the "keyhole" of a hedge fund "next generation research laboratory" door. The image reader will discover is astonishing; no exaggeration. From simple to complex, the book presents familiar financial concepts like stocks, market index (Dow Jones Industrial Average), algorithmic trading, to name just a few, in a manner that have never been experienced before. The reader is taken to a journey throughout a financial mathematics world that it seems detached from the 22nd century science. Part of a so called "underground quant researchers group," the author disclose throughout the pages of the book a picture of how quantum computer generation of quants will impact the financial markets in the near future, giving the reader a hint of how far research goes in mathematical finance. ARE WE PREPARED FOR THE QUANTUM COMPUTER TRADING AND INVESTING?
Author: Ovidiu Racorean
Publisher: CreateSpace
ISBN: 9781494456634
Category :
Languages : en
Pages : 118
Get Book Here
Book Description
In The News: Business Insider - "Hedge fund researcher is working on a higher dimensional geometric model of the stock market" International Business Times - "How do you picture the stock market: a bunch of guys yelling at computer screens on Wall Street? A long list of figures in the paper? Or, perhaps, an ever-shifting, higher dimensional jewel? The latter vision is that of Ovidiu Racorean... " The large public is, for the first time, invited to take a closer look through the "keyhole" of a hedge fund "next generation research laboratory" door. The image reader will discover is astonishing; no exaggeration. From simple to complex, the book presents familiar financial concepts like stocks, market index (Dow Jones Industrial Average), algorithmic trading, to name just a few, in a manner that have never been experienced before. The reader is taken to a journey throughout a financial mathematics world that it seems detached from the 22nd century science. Part of a so called "underground quant researchers group," the author disclose throughout the pages of the book a picture of how quantum computer generation of quants will impact the financial markets in the near future, giving the reader a hint of how far research goes in mathematical finance. ARE WE PREPARED FOR THE QUANTUM COMPUTER TRADING AND INVESTING?
Author: Vicente Muñoz
Publisher: American Mathematical Soc.
ISBN: 1470461323
Category : Education
Languages : en
Pages : 408
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Book Description
This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal. Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study. The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.
Author: Glen E. Bredon
Publisher: Springer Science & Business Media
ISBN: 0387979263
Category : Mathematics
Languages : en
Pages : 580
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Book Description
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Author: Michael Davis
Publisher: Princeton University Press
ISBN: 0691131384
Category : Mathematics
Languages : en
Pages : 601
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Book Description
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.
Author: R.B. Sher
Publisher: Elsevier
ISBN: 0080532853
Category : Mathematics
Languages : en
Pages : 1145
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Book Description
Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Author: Charles Nash
Publisher: Courier Corporation
ISBN: 0486318362
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Author: Frank Nielsen
Publisher: Springer Nature
ISBN: 3030654591
Category : Science
Languages : en
Pages : 274
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Book Description
This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).
Author: Keith Burns
Publisher: CRC Press
ISBN: 9781584882534
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models. The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow. The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.
Author: Miles Reid
Publisher: Cambridge University Press
ISBN: 9780521848893
Category : Mathematics
Languages : en
Pages : 218
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Book Description
Geometry aims to describe the world around us. It is central to many branches of mathematics and physics, and offers a whole range of views on the universe. This is an introduction to the ideas of geometry and includes generous helpings of simple explanations and examples. The book is based on many years teaching experience so is thoroughly class-tested, and as prerequisites are minimal, it is suited to newcomers to the subject. There are plenty of illustrations; chapters end with a collection of exercises, and solutions are available for teachers.
Author: Saul Stahl
Publisher: John Wiley & Sons
ISBN: 1118546148
Category : Mathematics
Languages : en
Pages : 430
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Book Description
An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.
