By Nigel Lesmoir-Gordon
By Siegfried Bosch
Auf nahezu allen Gebieten der aktuellen Mathematik spielen heute Techniken der Linearen Algebra eine wichtige Rolle. Das Lehrbuch bietet eine systematische Einführung und entspricht dem Lehrstoff einer zweisemestrigen Einführungsveranstaltung. Besonderen Wert legt der Autor auf eine sorgfältige Entwicklung der in der Linearen Algebra gebräuchlichen Begriffsbildungen, wobei jedes Kapitel mit einer Darlegung der zugehörigen geometrischen Ideen beginnt. Ergänzend bietet der Band umfangreiches und themenbezogenes Übungsmaterial.
By Yukiyoshi Nakkajima,Atsushi Shiho
In this quantity, the authors build a concept of weights at the log crystalline cohomologies of households of open gentle forms in attribute p>0, by way of defining and developing 4 filtered complexes. basic homes of those filtered complexes are proved, specifically the p-adic purity, the performance of 3 filtered complexes, the weight-filtered base switch formulation, the weight-filtered Künneth formulation, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. additionally, the authors nation a few theorems at the weight filtration and the slope filtration at the inflexible cohomology of a separated scheme of finite sort over an ideal box of attribute p>0.
By Manuel Ritoré,Carlo Sinestrari,Vicente Miquel,Joan Porti
Geometric flows have many functions in physics and geometry. The suggest curvature movement happens within the description of the interface evolution in sure actual types. this is often regarding the valuables that this kind of stream is the gradient movement of the world sensible and as a result appears to be like evidently in difficulties the place a floor power is minimized. The suggest curvature movement additionally has many geometric purposes, in analogy with the Ricci movement of metrics on summary riemannian manifolds. you can still use this circulate as a device to procure category effects for surfaces pleasant yes curvature stipulations, in addition to to build minimum surfaces. Geometric flows, bought from recommendations of geometric parabolic equations, could be regarded as another device to end up isoperimetric inequalities. nevertheless, isoperimetric inequalities may help in treating numerous elements of convergence of those flows. Isoperimetric inequalities have many functions in different fields of geometry, like hyperbolic manifolds.
By K. P. Hart,Jun-iti Nagata,J. E. Vaughan
• extra phrases from basic Topology than the other booklet ever released
• brief and informative articles
• Authors comprise nearly all of best researchers within the box
• large indexing of terms
By A. L. Besse
By N. L. Alling
By Bart De Bruyn
This publication supplies an creation to the sphere of occurrence Geometry by means of discussing the elemental households of point-line geometries and introducing many of the mathematical suggestions which are crucial for his or her examine. The households of geometries coated during this ebook comprise between others the generalized polygons, close to polygons, polar areas, twin polar areas and designs. additionally a few of the relationships among those geometries are investigated. Ovals and ovoids of projective areas are studied and a few functions to specific geometries may be given. A separate bankruptcy introduces the mandatory mathematical instruments and strategies from graph idea. This bankruptcy itself might be considered as a self-contained creation to strongly standard and distance-regular graphs.
This booklet is largely self-contained, purely assuming the data of uncomplicated notions from (linear) algebra and projective and affine geometry. just about all theorems are followed with proofs and an inventory of routines with complete options is given on the finish of the publication. This publication is geared toward graduate scholars and researchers within the fields of combinatorics and occurrence geometry.
By David E. Blair
This moment variation, divided into fourteen chapters, provides a accomplished therapy of touch and symplectic manifolds from the Riemannian standpoint. The monograph examines the fundamental principles intimately and gives many illustrative examples for the reader.
Riemannian Geometry of touch and Symplectic Manifolds, moment Edition offers new fabric in such a lot chapters, yet a specific emphasis is still on touch manifolds. Researchers, mathematicians, and graduate scholars in touch and symplectic manifold conception and in Riemannian geometry will make the most of this paintings. A uncomplicated direction in Riemannian geometry is a prerequisite.
By Armin Wirsching
Armin Wirsching, vertraut mit der Technik im alten Ägypten, zeigt Schritt für Schritt, wie die Erbauer der Pyramiden deren Maße bestimmten und die Einbauten berechneten. Er gibt Einblicke in das Denken zur Zeit der four. Dynastie und weist nach, dass die Pyramiden von Giza ein Monument des Glaubens an die Sonne sind. Ihre Spitzen markieren die Höhe der Sonne – nach dem Verständnis jener Zeit – an den Tagen der Sonnenwenden im Sommer und wintry weather sowie am Tag des heliakischen Sirius-Aufgangs. In die Hohlräume der Sarkophage hat guy, maßstäblich verkleinert, die Maße der Pyramiden zentimetergenau eingearbeitet, um sie für alle Ewigkeit zu bewahren.