This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.

This volume is an introduction and a monograph about tight polyhedra. The treatment of the 2-dimensional case is self- contained and fairly elementary. It would be suitable also for undergraduate seminars. Particular emphasis is given to the interplay of various special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes in a way not found in other books. A typical result relates tight submanifolds to combinatorial properties of their convex hulls. The chapters on higher dimensions generalize the 2-dimensional case using concepts from combinatorics and topology, such as combinatorial Morse theory. A number of open problems is discussed.

The sixth edition of this classic work makes mastering a vast amount of information on internal organs much less daunting. It offers a vivid review of the human body and its structure, and it is an ideal study companion as well as an excellent basic reference text. These are some of the many user-friendly features of this book New color plates on embryology and histology More than 200 outstanding full-color illustrations and 130 clinical correlations Side-by-side images with explanatory text An overview of anatomical terms in each section Emphasizing clinical anatomy, this text integrates current information from a wide range of medical disciplines into discussions of the internal organs, including: Cross-sectional anatomy as a basis for working with modern imaging modalities Detailed explanations of organ topography and function Physiological and biochemical information included where appropriate An entire chapter devoted to pregnancy and human development Volume 2: Internal Organs and its companions Volume 1: Locomotor System and Volume 3: Nervous System and Sensory Organs comprise a must-have resource for students of medicine, dentistry, and all allied health fields.

Color Atlas of Human Anatomy, Volume 2: Internal Organs For over 45 years, the three-volume Color Atlas of Human Anatomy has provided readers with a compact review of the human body and its structures. It is ideal for studying, preparing for exams, and as a reference. The new, 7th edition of Volume 2: Internal Organs builds on a robust foundation of scientific knowledge, summarizing in its compactness the macroscopic and topographic anatomy and the functions of the internal organs. Key highlights: Proven concept of concise texts paired with more than 200 color plates of outstanding anatomical illustrations Microscopic anatomy-if necessary for understanding the respective organ Organ functions are explained in connection with the embryological development of the organs, so many anatomical relationships can be better understood For numerous cross-sectional anatomical illustrations, corresponding CT and MRI images are provided, which helps with the application of anatomical knowledge in clinical practice Volume 2: Internal Organs is accompanied by Volume 1: Locomotor System (ISBN 978-3-13-242443-3) and Volume 3: Nervous System and Sensory Organs (ISBN 978-3-13-242451-7).

Dieses Buch ist eine Einfuhrung in die Differentialgeometrie und ein passender Begleiter zum Differentialgeometrie-Modul (ein- und zweisemestrig). Zunachst geht es um die klassischen Aspekte wie die Geometrie von Kurven und Flachen, bevor dann hoherdimensionale Flachen sowie abstrakte Mannigfaltigkeiten betrachtet werden. Die Nahtstelle ist dabei das zentrale Kapitel "Die innere Geometrie von Flachen." Dieses fuhrt den Leser bis hin zu dem beruhmten Satz von Gauss-Bonnet, der ein entscheidendes Bindeglied zwischen lokaler und globaler Geometrie darstellt. Die zweite Halfte des Buches ist der Riemannschen Geometrie gewidmet. Den Abschluss bildet ein Kapitel uber "Einstein-Raume," die eine grosse Bedeutung sowohl in der "Reinen Mathematik" als auch in der Allgemeinen Relativitatstheorie von A. Einstein haben. Es wird grosser Wert auf Anschaulichkeit gelegt, was durch zahlreiche Abbildungen unterstutzt wird. Bei der Neuauflage wurden einige zusatzliche Losungen zu denUbungsaufgaben erganzt."