Faces of Geometry: II Edition, Magnaghi-Delfino Paola, Mele Giampiero, Norando Tullia

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Автор: Yau Shing-Tung, Nadis Steve
Название: The Shape of Inner Space: String Theory and the Geometry of the Universe`s Hidden Dimensions
ISBN: 0465020232 ISBN-13(EAN): 9780465020232
Издательство: Неизвестно
Цена: 27590.00 T
Наличие на складе: Невозможна поставка.
Описание: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see What if you were told that we actually live in a 10-dimensional universe-- that the leading theory of nature posits only 4 out of 10 are accessible to our everyday senses? How do we account for the other 6 dimensions? What do they look like, where are they hiding, and what, if anything at all, do they do? In The Shape of Inner Space, geometer and leading string theorist Shing- Tung Yau unpacks the widely-held belief that these undetected dimensions are tightly curled in elaborate, twisted shapes called "Calabi-Yau manifolds." Yau explains that these spaces are so miniscule that humans will probably never see any of them directly. Amazingly, however, this hidden realm may hold the answers to some of the most profound questions we have about our universe. In examining his life's work, Yau emphasises his most important finding: proof of the manifold's mathematical existence. This discovery has been critical in advancing our understanding of geometry and string theory, and, more broadly, physics and the universe. With this acquired knowledge, string theorists can go beyond the concept of the universe that Einstein left us with, and possibly expose some of nature's greatest mysteries. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we think about mathematics, cosmology, and our quest to learn the shape of the inner universe.

Автор: Keke Zhang
Название: Theory and Modeling of Rotating Fluids
ISBN: 0521850096 ISBN-13(EAN): 9780521850094
Издательство: Cambridge Academ
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Цена: 161570.00 T
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Описание: The first systematic account of the theory and modelling of rotating fluids in half a century, recommended for researchers and postgraduate students in fields of atmospheres, oceanography, geophysics, astrophysics and engineering. It unifies three traditionally separated topics in rotating fluids: thermal convection, inertial waves, and precession-driven flow.

Автор: Landi Giovanni, Zampini Alessandro
Название: Linear Algebra and Analytic Geometry for Physical Sciences
ISBN: 3319783602 ISBN-13(EAN): 9783319783604
Издательство: Springer
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Цена: 60550.00 T
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Описание: A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections.

Автор: Donaldson Simon, Eliashberg Yakov, Gromov Mikhael
Название: Different faces of geometry
ISBN: 0306486571 ISBN-13(EAN): 9780306486579
Издательство: Springer
Цена: 213360.00 T
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Описание: Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: Amoebas and Tropical GeometryConvex Geometry and Asymptotic Geometric AnalysisDifferential Topology of 4-Manifolds3-Dimensional Contact GeometryFloer Homology and Low-Dimensional TopologyKГ¤hler GeometryLagrangian and Special Lagrangian SubmanifoldsRefined Seiberg-Witten Invariants.

Автор: J?rgen Jost
Название: Riemannian Geometry and Geometric Analysis
ISBN: 3319618598 ISBN-13(EAN): 9783319618593
Издательство: Springer
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Цена: 79190.00 T
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Описание: This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

Автор: Yau Shing-Tung, Nadis Steve
Название: The Shape of a Life: One Mathematician`s Search for the Universe`s Hidden Geometry
ISBN: 0300235909 ISBN-13(EAN): 9780300235906
Издательство: Wiley
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Цена: 21120.00 T
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Описание: A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape--the Calabi-Yau manifold--that may store the hidden dimensions of our universe.

"An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind."--Nina MacLaughlin, Boston Globe

"Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading."--Judith Goodstein, American Scientist

Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world's most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal-winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems.

With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

Автор: Shafarevich Igor R
Название: Basic Algebraic Geometry
ISBN: 3642379559 ISBN-13(EAN): 9783642379550
Издательство: Springer
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Цена: 74530.00 T
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Описание: Here is the first of a two-volume work offering an introduction to algebraic geometry. It makes the topic accessible to non-specialists and beginners and is suitable for undergraduates in mathematics as well as students of theoretical physics.

Автор: Paola Magnaghi-Delfino; Giampiero Mele; Tullia Nor
Название: Faces of Geometry. From Agnesi to Mirzakhani
ISBN: 3030297950 ISBN-13(EAN): 9783030297954
Издательство: Springer
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Цена: 93160.00 T
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Описание: The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics.

Автор: Magnaghi-Delfino Paola, Mele Giampiero, Norando Tullia
Название: Faces of Geometry. from Agnesi to Mirzakhani
ISBN: 3030297985 ISBN-13(EAN): 9783030297985
Издательство: Springer
Цена: 93160.00 T
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Описание: The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics.

Автор: Grosche Christian
Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9814460079 ISBN-13(EAN): 9789814460071
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

Автор: Falconer Kenneth
Название: Fractal Geometry
ISBN: 111994239X ISBN-13(EAN): 9781119942399
Издательство: Wiley
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Цена: 45350.00 T
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Описание: This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science.