Differential Geometry – alle Bücher, Seite 2

Numerical Geometry, Grid Generation and Scientific Computing

This volume presents a selection of papers presented at the 11th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing held December 12-14, 2022 in memory of Sergei Ale…

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Boukarou Aissa
Partial Differential Equations In Sobolev & Analytic Spaces

Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, …

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Wuchen Li, Bernhard Schmitzer, Gabriele Steidl, François-Xavier Vialard
Variational and Information Flows in Machine Learning and Optimal Transport

This book is based on lectures given at the Mathematisches Forschungsinstitut Oberwolfach on "Computational Variational Flows in Machine Learning and Optimal Transport".Variational and stochasti…

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Svetlin G. Georgiev
An Excursion Through Partial Differential Equations

Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It ex…

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Kazuaki Taira
Functional Analytic Methods for Heat Green Operators

This monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis. Following the recent trend towards constructive methods in the theory o…

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V. Parameswaran Nair
Geometric Quantization and Applications to Fields and Fluids

This open access book explains geometric quantization from a physicist¿s perspective. After presenting the general formalism, it delves into several examples reflecting current research interests in high-…

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Jacques Balayla
Theorems on the Prevalence Threshold and the Geometry of Screening Curves

In Theorems on the Prevalence Threshold and the Geometry of Screening Curves, the author explores the mathematical underpinnings of screening and diagnostic testing, offering a unique and novel perspectiv…

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Justin Corvino, Pengzi Miao
Lectures on Mathematical Relativity

This book introduces and explores some of the deep connections between Einstein's theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at …

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Henrique Fernandes de Lima, Marco Antonio Lázaro Velásquez, Giovanni Molica Bisci
Immersions in Warped Product Spaces

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key top…

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Anahita Eslami Rad
Symplectic and Contact Geometry

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics.Organiz…

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Justin Corvino, Pengzi Miao
Lectures on Mathematical Relativity

This book introduces and explores some of the deep connections between Einstein's theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at …

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Rongwei Yang
A Spectral Theory Of Noncommuting Operators

The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or repre…

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Pierre Py
Lectures on Kahler Groups

"A natural question that sits at the nexus of algebraic geometry, differential geometry, and geometric group theory is: which groups can be realized as fundamental groups of compact Kèahler manifolds…

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Leonid Kurdachenko, Igor Subbotin, Oleksandr Pypka
General Theory of Leibniz Algebras

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebr…

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Sasane Amol
Math Intro Gen Relativ (2nd Ed)

The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians …

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Real and Complex Geometry

The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of com…

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Michael E. Taylor
Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well a…

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Essays on Topology

This book consists of a collection of articles dedicated to Valentin Poénaru, on topology and geometry in a broad sense. Poénaru is one of the leading mathematicians whose work had an essential impact on …

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