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On the application of differential geometry to MDO
, 2012Multidisciplinary Design Optimization (MDO) is a methodology for optimizing large coupled systems. Over the years, a number of different MDO decomposition strategies, known as architectures, have been developed, and various pieces of analytical work have
Craig Bakker, G. Parks, J. Jarrett
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Modern Differential Geometry of Curves and Surfaces
, 1993"Modern Differential Geometry of Curves and Surfaces" explains the mathematics of curves and surfaces and describes how to draw the pictures illustrating them using "Mathematica".
A. Gray
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A first course in differential geometry
, 1981This book is designed to introduce differential geometry to beginning graduate students as well as to advanced undergraduate students. In the last couple of decades, differential geometry, along with other branches of mathematics, has been greatly ...
C. Hsiung
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Modern Differential Geometry For Physicists
, 1989These notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by the first-year theoretical physics PhD students, or by students attending the one-year MSc course “Fundamental Fields and Forces” at ...
C. Isham
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Outline of a History of Differential Geometry: I
Isis, 1933If the French drew the most consistent economic and political consequences from their revolution, the Germans on the other hand were more profoundly stimulated by the accompanying intellectual upheaval.
D. Struik
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, 2002
The theory of complex manifolds overlaps with several branches of mathematics, including differential geometry, algebraic geometry, several complex variables, global analysis, topology, algebraic number theory, and mathematical physics. Complex manifolds
F. Zheng
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The theory of complex manifolds overlaps with several branches of mathematics, including differential geometry, algebraic geometry, several complex variables, global analysis, topology, algebraic number theory, and mathematical physics. Complex manifolds
F. Zheng
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Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
1996Introduction. I. Elements of Coordinate-Free Differential Geometry. II. Introduction to Stochastic Analysis in Rn III. Stochastic Differential Equations on Manifolds. IV. Langevin's Equation in Geometric Form. V. Nelson's Stochastic Mechanics. VI. The Lagrangian Approach to Hydrodynamics.
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Global Affine Differential Geometry of Hypersurfaces
, 1993The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important ...
A. Li, U. Simon, Guosong Zhao
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Perspectives of Complex Analysis, Differential Geometry and Mathematical Physics
, 2001 openaire +2 more sources
Introductory Differential Geometry For Physicists
, 1992This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientists interested in this field. This book is basically divided into 3 levels; level 0, the nearest to intuition and geometrical experience,
A. Visconti
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