By Michael Hvidsten
By Laurent Younes
A direct program of what's provided within the ebook is a department of the automated research of clinical photos, referred to as computational anatomy.
By Francis Buekenhout,Arjeh M. Cohen
This publication offers a self-contained creation to diagram geometry. Tight connections with staff concept are proven. It treats skinny geometries (related to Coxeter teams) and thick structures from a diagrammatic standpoint. Projective and affine geometry are major examples. Polar geometry is influenced through polarities on diagram geometries and the whole class of these polar geometries whose projective planes are Desarguesian is given. It differs from titties' accomplished therapy in that it makes use of Veldkamp's embeddings.
The booklet intends to be a simple reference when you research diagram geometry. workforce theorists will locate examples of using diagram geometry. mild on matroid conception is shed from the viewpoint of geometry with linear diagrams. these attracted to Coxeter teams and people attracted to structures will locate short yet self-contained introductions into those subject matters from the diagrammatic perspective. Graph theorists will locate many hugely general graphs.
The textual content is written so graduate scholars should be in a position to stick to the arguments while not having recourse to additional literature.
A specialty of the publication is the density of examples.
By Ruben Aldrovandi,José Geraldo Pereira
This ebook specializes in the unifying energy of the geometrical language in bringing jointly thoughts from many various parts of physics, starting from classical physics to the theories describing the 4 basic interactions of Nature — gravitational, electromagnetic, robust nuclear, and susceptible nuclear.
The booklet presents in one quantity a radical creation to topology and differential geometry, in addition to many purposes to either mathematical and actual difficulties. it truly is aimed as an ordinary textual content and is meant for first 12 months graduate students.
In addition to the conventional contents of books on particular and basic relativities, this publication discusses additionally a few contemporary advances reminiscent of de Sitter invariant unique relativity, teleparallel gravity and their implications in cosmology for these wishing to arrive a better point of understanding.
By Michael Charles Crabb,Ioan Mackenzie James
By Francis Borceux
This is a unified remedy of some of the algebraic techniques to geometric areas. The examine of algebraic curves within the complicated projective aircraft is the normal hyperlink among linear geometry at an undergraduate point and algebraic geometry at a graduate point, and it's also a massive subject in geometric purposes, reminiscent of cryptography.
380 years in the past, the paintings of Fermat and Descartes led us to check geometric difficulties utilizing coordinates and equations. this present day, this can be the preferred approach of dealing with geometrical difficulties. Linear algebra offers an effective instrument for learning the entire first measure (lines, planes) and moment measure (ellipses, hyperboloids) geometric figures, within the affine, the Euclidean, the Hermitian and the projective contexts. yet contemporary functions of arithmetic, like cryptography, desire those notions not just in genuine or complicated circumstances, but in addition in additional common settings, like in areas developed on finite fields. and naturally, why no longer additionally flip our realization to geometric figures of upper levels? along with all of the linear points of geometry of their such a lot basic environment, this ebook additionally describes helpful algebraic instruments for learning curves of arbitrary measure and investigates effects as complicated because the Bezout theorem, the Cramer paradox, topological staff of a cubic, rational curves etc.
Hence the publication is of curiosity for all those that need to educate or examine linear geometry: affine, Euclidean, Hermitian, projective; it's also of significant curiosity to those that don't need to limit themselves to the undergraduate point of geometric figures of measure one or two.
By Dörte Haftendorn
Das Buch bietet eine Übersicht über Kurven mit Schlaufen und Spitzen, über Spiralen und Rosetten, Ellipsen und andere Kegelschnitte, die zu den faszinierendsten Objekten der Mathematik gehören. Konstruieren und erkunden Sie diese mit GeoGebra und anderen Mathematikwerkzeugen oder von Hand und erzeugen Sie kreativ weitere Kurven. Das nötige mathematische Rüstzeug wird in Herleitungen, Beweisen und Bezügen sorgfältig entwickelt und vielfältig angewendet.
By William L. Burke
By Glen E. Bredon
This e-book deals an introductory path in algebraic topology. beginning with normal topology, it discusses differentiable manifolds, cohomology, items and duality, the elemental team, homology concept, and homotopy idea.
From the reports: "An attention-grabbing and unique graduate textual content in topology and geometry...a sturdy lecturer can use this article to create an outstanding course....A starting graduate pupil can use this article to profit loads of mathematics."―-MATHEMATICAL REVIEWS
By Siegfried Krauter,Christine Bescherer,Friedhelm Padberg