Free Download Geometry for the Artist
English | 2023 | ISBN: 0367628236, 0367628252 | 255 Pages | PDF (True) | 983 MB
Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book's approach is the analysis of art from a geometric point of view-looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter.

Free Download Kähler Geometry of Loop Spaces By Armen Sergeev
2010 | 227 Pages | ISBN: 4931469604 | PDF | 2 MB
In this book we study three important classes of infinite-dimensional Kähler manifolds - loop spaces of compact Lie groups, Teichmüller spaces of complex structures on loop spaces, and Grassmannians of Hilbert spaces. Each of these manifolds has a rich Kähler geometry, considered in the first part of the book, and may be considered as a universal object in a category, containing all its finite-dimensional counterparts.On the other hand, these manifolds are closely related to string theory.

Pressley A Elementary Differential Geometry 2ed 2010 | 25.24 MB
English | 469 Pages

Title: Elementary Differential Geometry (Springer Undergraduate Mathematics Series)
Author: A.N. Pressley
Year: 2010

Parrott S Relativistic Electrodynamics and Differential Geometry 1987 | 27.49 MB
N/A | 317 Pages

Title: Неизвестное название
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Free Download Ventricular Geometry in Post-Myocardial Infarction Aneurysms: Implications for Surgical Ventricular Restoration by V. Rao Parachuri , Srilakshmi M. Adhyapak
English | PDF | 2012 | 162 Pages | ISBN : 1447128605 | 7.9 MB
The topic of heart failure although extensively researched and reported, has several gray areas. This is especially seen in determining strategies for combating advanced heart failure. The global burden of ischemic heart disease is increasing at an alarming rate to almost pandemic proportions. Even in the presence of state-of the art technology for prompt and successful coronary reperfusion, the population progressing to ischemic cardiomyopathy is substantial. The treatment strategies for ischemic cardiomyopathy do not always ensure optimal clinical results, the reasons for which are varied. The proper patient selection is vital as is the tailoring of suitable therapy. The approach is thus multi-pronged, of which surgical ventricular restoration (SVR) has a definite role. Despite various randomized studies like the STICH-hypothesis 2, where there was a huge selection bias, with patients subjected to an erroneous technique of SVR, with inadequate ventricular remodelling assessment.

Free Download R. S. Ward, "Twistor Geometry and Field Theory "
English | ISBN: 052142268X | | 532 pages | PDF | 17 MB
This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.

Free Download Topics in the Geometry of Projective Space: Recent Work of F.L. Zak by R. Lazarsfeld , A. Ven
English | PDF | 1984 | 51 Pages | ISBN : 3764316608 | 4.3 MB
The main topics discussed at the D. M. V. Seminar were the connectedness theorems of Fulton and Hansen, linear normality and subvarieties of small codimension in projective spaces. They are closely related; thus the connectedness theorem can be used to prove the inequality-part of Hartshorne's conjecture on linear normality, whereas Deligne's generalisation of the connectedness theorem leads to a refinement of Barth's results on the topology of varieties with small codimension in a projective space. The material concerning the connectedness theorem itself (including the highly surprising application to tamely ramified coverings of the projective plane) can be found in the paper by Fulton and the first author: W. Fulton, R. Lazarsfeld, Connectivity and its applications in algebraic geometry, Lecture Notes in Math. 862, p. 26-92 (Springer 1981).

Free Download Osserman Manifolds in Semi-Riemannian Geometry by Eduardo García-Río , Demir N. Kupeli , Ramón Vázquez-Lorenzo
English | PDF | 2002| 178 Pages | ISBN : 3540431446 | 14.6 MB
The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.

Free Download Natural Operations in Differential Geometry by Ivan Kolář , Jan Slovák , Peter W. Michor
English | PDF | 1993 | 440 Pages | ISBN : 3540562354 | 41.94 MB
The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op­ erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.

Free Download Holomorphic Curves in Symplectic Geometry by Michèle Audin, Jacques Lafontaine
English | PDF | 1994 | 333 Pages | ISBN : 3764329971 | 44.2 MB
This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C. Sikorav. In an attempt to make this book accessible also to graduate students, the authors provide the necessary examples and techniques needed to understand the applications of the theory. The exposition is essentially self-contained and includes numerous exercises.