
By Christian Bär
Dieses Lehrbuch bietet eine Einführung in die Differentialgeometrie von Kurven und Flächen. Es ist in der vorliegenden dritten, überarbeiteten Auflage um Lösungshinweise sowie Anwendungen in der Kartografie erweitert. Themen sind u. a. euklidische Geometrie, Kurventheorie, Flächentheorie, Krümmungsbegriffe, Minimalflächen, Riemannsche Geometrie und der Satz von Gauß-Bonnet.
Topological Dimension and Dynamical Systems (Universitext) by Michel Coornaert

By Michel Coornaert
Translated from the preferred French variation, the aim of the ebook is to supply a self-contained creation to intend topological measurement, an invariant of dynamical structures brought in 1999 by means of Misha Gromov. The ebook examines how this invariant used to be effectively utilized by Elon Lindenstrauss and Benjamin Weiss to reply to a long-standing open query approximately embeddings of minimum dynamical platforms into shifts.
A huge variety of revisions and additions were made to the unique textual content. bankruptcy five comprises a completely new part dedicated to the Sorgenfrey line. chapters have additionally been further: bankruptcy nine on amenable teams and bankruptcy 10 on suggest topological measurement for non-stop activities of countable amenable teams. those new chapters include fabric that experience by no means earlier than seemed in textbook shape. The bankruptcy on amenable teams is predicated on Følner’s characterization of amenability and should be learn independently from the remainder of the book.
Although the contents of this e-book lead on to a number of lively parts of present learn in arithmetic and mathematical physics, the must haves wanted for studying it stay modest; basically a few familiarities with undergraduate point-set topology and, in an effort to entry the ultimate chapters, a few acquaintance with easy notions in workforce conception. Topological measurement and Dynamical Systems is meant for graduate scholars, in addition to researchers drawn to topology and dynamical platforms. a number of the issues taken care of within the ebook at once result in learn parts that stay to be explored.
Braids and Coverings: Selected Topics (London Mathematical by Vagn Lundsgaard Hansen

By Vagn Lundsgaard Hansen
Riemannian Geometry of Contact and Symplectic Manifolds by David E. Blair

By David E. Blair
This moment version, divided into fourteen chapters, offers a accomplished therapy of touch and symplectic manifolds from the Riemannian viewpoint. The monograph examines the fundamental principles intimately and offers many illustrative examples for the reader.
Riemannian Geometry of touch and Symplectic Manifolds, moment Edition presents new fabric in so much 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 simple direction in Riemannian geometry is a prerequisite.
Foliations and the Geometry of 3-Manifolds (Oxford by Danny Calegari

By Danny Calegari
Automorphisms and Equivalence Relations in Topological by David B. Ellis,Robert Ellis

By David B. Ellis,Robert Ellis
Homogeneous Finsler Spaces (Springer Monographs in by Shaoqiang Deng

By Shaoqiang Deng
This monograph introduces the newest advancements within the research of Lie teams and homogeneous Finsler areas, leading the reader to instructions for additional improvement. The e-book includes many fascinating effects corresponding to a Finslerian model of the Myers-Steenrod Theorem, the life theorem for invariant non-Riemannian Finsler metrics on coset areas, the Berwaldian characterization of worldwide symmetric Finsler areas, the development of examples of reversible non-Berwaldian Finsler areas with vanishing S-curvature, and a type of homogeneous Randers areas with isotropic S-curvature and confident flag curvature. Readers with a few historical past in Lie idea or differential geometry can quick commence learning difficulties pertaining to Lie teams and Finsler geometry.
Space, Number, and Geometry from Helmholtz to Cassirer by Francesca Biagioli

By Francesca Biagioli
Riemann Surfaces (Oxford Graduate Texts in Mathematics) by Simon Donaldson

By Simon Donaldson
diverse issues in mathematical physics.
This graduate textual content on Riemann floor thought proves the basic analytical effects at the lifestyles of meromorphic capabilities and the Uniformisation Theorem. The method taken emphasises PDE tools, acceptable extra normally in international research. the relationship with geometric topology, and specifically the position of the mapping type workforce, can be defined. To this finish, a few extra subtle subject matters were integrated, in comparison with conventional texts at this point. whereas the remedy is
novel, the roots of the topic in conventional calculus and intricate research are stored good in mind.
Part I units up the interaction among complicated research and topology, with the latter taken care of informally. half II works as a speedy first path in Riemann floor thought, together with elliptic curves. The middle of the ebook is contained partly III, the place the basic analytical effects are proved. Following this part, the rest of the textual content illustrates a variety of elements of the extra complicated theory.
Lineare Algebra (Springer-Lehrbuch) (German Edition) by Siegfried Bosch

By Siegfried Bosch
Dieses bewährte Lehrbuch, das nun in einer fünften Auflage vorliegt, bietet eine systematische Einführung in die Lineare Algebra, ein Gebiet, das für nahezu alle Bereiche der Mathematik von Bedeutung ist. Der textual content entspricht in seinem Umfang einer zweisemestrigen Anfängervorlesung, so wie sie heute an vielen Universitäten üblich ist. Besonderer Wert wird auf eine sorgfältige Entwicklung der Begriffsbildungen der Linearen Algebra gelegt, wobei jedes Kapitel mit einer Darlegung der zugehörigen motivierenden geometrischen Ideen beginnt.
Eine Vielzahl von speziell abgestimmten Übungsaufgaben rundet die einzelnen Themen ab. Neu entwickelt wurde ein Aufgabentraining, welches allgemeine Grundsätze zum Lösen von Übungsaufgaben vorstellt und die zugehörigen Lösungsstrategien diskutiert. Für eine Auswahl an Aufgaben werden hierbei die kompletten Lösungen erarbeitet.