Differential Geometry – all Bücher

Muhittin E. Aydin, Svetlin G. Georgiev
Differential Geometry

This textbook offers a different approach to classical textbooks in Differential Geometry. It includes practical examples and over 300 advanced problems designed for graduate students in various fields, s…

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Paulo Ventura Araújo
Differential Geometry

This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical an…

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Kai Köhler
Differential Geometry and Homogeneous Spaces

This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of R…

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Peter Wriggers, Shahab Sahraee
Tensor Calculus and Differential Geometry for Engineers

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems…

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Christian Bär
Elementare Differentialgeometrie

De Gruyter Studium

Die dritte Auflage des bewährten Lehrbuchs bietet, vollständig überarbeitet und aktualisiert, eine fundierte und zugängliche Einführung in die Differentialgeometrie von Kurven und Flächen. Beginnend mit…

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Marcus Hildebrandt
Differential Geometric Foundations of Non-Equilibrium Thermodynamics

While all field theories are nowadays available in a modern, differential geometric, coordinate free formulation on manifolds this has been so far only rudimentary accomplished in general non-equilibrium …

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Lukas Scharfe
Geometrie der Allgemeinen Relativitätstheorie

Zu Recht wird Albert Einsteins Entdeckung der Allgemeinen Relativitätstheorie bewundert, denn ihre Erkenntnisse haben unseren Blick auf das Universum grundlegend verändert. Aus mathematischer Perspektive …

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Maciej Dunajski
Solitons, Instantons, and Twistors

The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore…

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Jürgen Jost
Bernhard Riemann

Klassische Texte der Wissenschaft

Die Geburtsstunde der modernen Geometrie war am 10.06.1854, als Bernhard Riemann in seinem Habilitationsvortrag differenzierbare Mannigfaltigkeiten, Riemannsche Metriken, Schnittkrümmungen und Normalkoord…

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Kevin P. Knudson
Algebraic Topology

De Gruyter Textbook

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singu…

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Vignon Oussa
A Bridge Between Lie Theory and Frame Theory

Comprehensive textbook examining meaningful connections between the subjects of Lie theory, differential geometry, and signal analysis A Bridge Between Lie Theory and Frame Theory serves as a bridge betwe…

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Jerzy Plebanski, Andrzej Krasinski
An Introduction to General Relativity and Cosmology

"Experts Plebaânski and Krasiânski provide a thorough introduction to the tools of general relativity and relativistic cosmology, guiding advanced students through complete derivations of the results. Sta…

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Vladimir Kobelev
Fundamentals of Structural Optimization (II)

This book provides a comprehensive overview of analytical methods for solving optimization problems, covering principles and mathematical techniques alongside numerical solution routines, including MAPLE …

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Khaled Zennir Svetlin G Aissa Boukarou
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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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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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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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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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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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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Morphology, Neurogeometry, Semiotics

Lecture Notes in Morphogenesis

Jean Petitot is a polyhedric thinker whose contributions has been fundamental in a number of disciplines, such as epistemology, morphodynamics, differential geometry, structural semiotics, neurogeometry, …

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