Bücher von Peter Petersen

This book is meant to be an introduction to Riemannian geometry. The reader is assumed to have some knowledge of standard manifold theory, including basic theory of tensors, forms, and Lie groups. At times we shall also assume familiarity with algebraic topology and de Rham cohomology. Specifically, we recommend that the reader is familiar with texts like [14] or[76, vol. 1]. For the readers who have only learned something like the first two chapters of [65], we have an appendix which covers Stokes' theorem, Cech cohomology, and de Rham cohomology. The reader should also have a nodding acquaintance with ordinary differential equations. For this, a text like [59] is more than sufficient. Most of the material usually taught in basic Riemannian geometry, as well as several more advanced topics, is presented in this text. Many of the theorems from Chapters 7 to 11 appear for the first time in textbook form. This is particularly surprising as we have included essentially only the material students ofRiemannian geometry must know. The approach we have taken deviates in some ways from the standard path. First and foremost, we do not discuss variational calculus, which is usually the sine qua non of the subject. Instead, we have taken a more elementary approach that simply uses standard calculus together with some techniques from differential equations.

Künstler ist der Therapeut nicht nur in den Künstlerischen Therapien. Jeder therapeutische Prozess basiert außer auf Lehrwissen und der Anwendung bewährter Methoden, in einem nicht geringen Maße auf Intuition und kreativem Handeln in der konkreten Arbeit mit dem Patienten. Auf der Basis seiner jahrzehntelangen Erfahrungen mit den verschiedenen Ansätzen stellt der Autor ein übergreifendes Konzept für die heute praktizierten kunsttherapeutischen Verfahren und Psychotherapien vor. Zentral sind dabei die Anregung der Selbstheilungsprozesse, der Rückgriff auf vorhandene Ressourcen und die Befähigung zur Selbstregulation."Wer nicht an Wunder glaubt, der ist kein Realist."(Ben Gurion)

Riemannian Geometry

In addition, there is material throughout the text on linear differential equations and how it integrates with all of the important concepts in linear algebra. This book has several distinguishing features that set it apart from other linear algebra texts.