Mean Curvature Flow and Isoperimetric Inequalities

Posted By: AvaxGenius

Date: 16 Apr 2022 21:30:42

Mean Curvature Flow and Isoperimetric Inequalities by Manuel Ritoré
English | PDF | 2010 | 113 Pages | ISBN : 303460212X | 0.98 MB

Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized.

Science Mean curvature Minimal surface Ricci flow Mathematics Differential Geometry Global Analysis Analysis on Manifolds Analysis

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Topics in Physical Mathematics

Posted By: AvaxGenius

Date: 6 Apr 2022 14:49:40

Topics in Physical Mathematics By Kishore Marathe
English | PDF | 2010 | 442 Pages | ISBN : 1848829388 | 4.1 MB

The roots of ’physical mathematics’ can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by technological progress and increasing abstraction in mathematical research, caused a separation of the sciences and mathematics in the 20th century.

Science Differential Geometry Topology Field Theory Global Analysis Analysis Manifolds Physical Mathematics Mathematics Physics

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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

Posted By: AvaxGenius

Date: 21 Mar 2022 18:31:49

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers by Pedro M. Gadea
English | PDF | 2013 | 635 Pages | ISBN : 9400759517 | 6 MB

This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds.

Science Adjoint Representation Differentiable Manifolds Constant Curvature Characteristic Classes Almost Complex Manifold Complex Manifold Mathematics Differential Geometry Geometry Algebra Analysis

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Periodic Monopoles and Difference Modules

Posted By: AvaxGenius

Date: 1 Mar 2022 13:49:52

This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis–Kapustin (GCK) type. It presents a classification of the latter in terms of difference modules with parabolic structure, revealing a kind of Kobayashi–Hitchin correspondence between differential geometric objects and algebraic objects. It also clarifies the asymptotic behaviour of these monopoles around infinity.

Science Monopole Parabolic Structure Differential Geometry Mathematical Physics Algebraic Geometry

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Liutex and Third Generation of Vortex Definition and Identification: An Invited Workshop from Chaos 2020

Posted By: AvaxGenius

Date: 20 Feb 2022 17:03:16

This book collects papers presented in the Invited Workshop, “Liutex and Third Generation of Vortex Definition and Identification for Turbulence,” from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington.

Science vortex science turbulence research vortex dynamics Liutex theory hydrodynamics thermodynamics controlling of turbulence Plasma Physics Engineering Fluid Dynamics Aerospace Technology Astronautics Differential Geometry

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A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics

Posted By: roxul

Date: 26 Jan 2022 10:16:17

Antonio Sergio Teixeira Pires, "A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics"
English | ISBN: 1643273752 | 2019 | 172 pages | PDF | 7 MB

Topology Differential Geometry Condensed Matter Physics

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Geometry of Harmonic Maps (Repost)

Posted By: AvaxGenius

Date: 6 Dec 2021 05:24:18

Geometry of Harmonic Maps by Yuanlong Xin
English | PDF | 1996 | 252 Pages | ISBN : 1461286441 | 14 MB

Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science.

Science Differential Geometry Probability Theory Stochastic Processes Geometry

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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Posted By: roxul

Date: 15 Jul 2021 11:45:29

Tristan Needham, "Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts"
English | ISBN: 0691203695, 0691203709 | 2021 | 584 pages | PDF | 25 MB

Differential Geometry

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Elementary Topics in Differential Geometry

Posted By: IrGens

Date: 17 Mar 2021 04:23:45

Non-Fiction Mathematics Textbooks Differential Geometry

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Differential Geometry and Physics

Posted By: arundhati

Date: 24 Feb 2021 17:30:04

Weiping Zhang, "Differential Geometry and Physics - Proceedings of the 23th International Conference of Differential Geometric Methods in Theoretical Physics"
English | ISBN: 9812703772 | 2006 | 540 pages | PDF | 20 MB

Differential Geometry Mathematics Physics Science

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2019-20 MATRIX Annals

Posted By: AvaxGenius

Date: 11 Feb 2021 04:45:52

2019-20 MATRIX Annals by David R. Wood (Editor-in-Chief)
English | PDF | 2021 | 795 Pages | ISBN : 303062496X | 22.6 MB

MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: