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Cover of Hyperbolic Geometry and Barbilian Spaces

Cover of Frontiers in Number Theory, Physics, and Geometry I

The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than 10 years after a first meeting between number theorists and physicists at the Centre de Physique des Houches, a second two-week event focused on the broader interface of number theory, geometry, and physics. This book collects the material presented at this meeting.

Cover of Positive Polynomials in Control

Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomial...

Cover of Introduction to Algebraic Geometry and Algebraic Groups

Cover of Algebraic Cobordism

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

Cover of Geometry and Analysis

Geometry and Analysis

Published 1 January 1982
Adult

Cover of Projective Geometry - With Applications to Engineering

Cover of Revue de Mathematiques Speciales, 1909, Vol. 20 (Classic Reprint)

Cover of Annali Di Matematica Pura Ed Applicata, 1907, Vol. 13

Cover of Nouvelles Annales de Mathematiques, 1847, Vol. 6

Cover of Fractals

Fractals are shapes in which an identical motif repeats itself on an ever diminishing scale. A coastline, for instance, is a fractal, with each bay or headland having its own smaller bays and headlands--as is a tree with a trunk that separates into two smaller side branches, which in their turn separate into side branches that are smaller still. No longer mathematical curiosities, fractals are now a vital subject of mathematical study, practical application, and popular interest. For readers int...

Cover of Treatise on the Art of Measuring; Containing All That Is Useful in Bonnycastle, Hutton, Hawney, Ingram, and Several Other Modern Works on Mensuration; To Which Are Added Trigonometry, with Its Application to Heights and Distances; Surveying; Gauging, 1831

Cover of Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields Into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Cover of Constant Mean Curvature Surfaces with Boundary

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical f...

Cover of Geometric Phases in Classical and Quantum Mechanics

Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Cover of Geometries and Groups

Cover of The Hyperbola and the Parabola,

The Hyperbola and the Parabola,

Published 11 September 2015
Adult

Cover of Cauchy's Theorem (Geometry)

Cauchy's Theorem (Geometry)

Published 15 August 2010
Adult

Cover of Catalan Surface

Catalan Surface

Published 15 August 2010
Adult

Cover of Solutions of the Examples in an Elementary Treatise on Conic Sections

Cover of Topographie Des Gehirns (Classic Reprint)

Cover of The Theory of the Imaginary in Geometry

Cover of Rigid Cohomology over Laurent Series Fields

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le Stum's overconvergent site. Applications of this new theory to arithmetic questions, such as l-independe...

Cover of Aufgaben Aus Der Rationellen Mechanik, Betreffend Die Bewegung Eines Materiellen Punktes (Classic Reprint)