Foundations of Computational Mathematics
This book contains a collection of articles corresponding to some of the talks delivered at the Foundations of Computational Mathematics conference held at IMPA in Rio de Janeiro in January 1997. Some ofthe others are published in the December 1996 issue of the Journal of Complexity. Both of these publications were available and distributed at the meeting. Even in this aspect we hope to have achieved a synthesis of the mathematics and computer science cultures as well as of the disciplines. The...
Lezioni Di Geometria Differenziale, Volume 2 - Primary Source Edition
by Luigi Bianchi
Pentagon Graph Paper Journal - 300 Page Pentagon Graph Paper Journal
by Millionaire Moments
In "Exterior Differential Systems", the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study, because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly empha...
Minimal Surfaces and Functions of Bounded Variation (Monographs in Mathematics, #80)
by Giusti
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and bubbles, it has resisted the efforts of many mathematicians for more than a century. It was only in the thirties...
Modern Mathematics and Mechanics (Understanding Complex Systems)
In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- a...
Linear Algebra and Projective Geometry. Pure and Applied Mathematics, Volume II.
by Reinhold Baer
Classical and Discrete Differential Geometry
by David Xianfeng Gu and Emil Saucan
This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks. With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and compl...
Principes Mathematiques de Feu Joseph-Anastase Da Cunha
by Joseph-Anastase Da Cunha
Discrete Geometry and Convexity (Annals of the New York Academy of Sciences, Vol 440)
Weakly Semialgebraic Spaces (Lecture Notes in Mathematics, #1367)
by Manfred Knebusch
The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. The category WSA(R) of weakly semialgebraic spaces over R - the focus of this new volume - contains LSA(R) as a full subcategory. The book provides ample evidence that WSA(R) is "the" right cadre to understand homotopy and homology of semialgebrai...