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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).
Dies ist eine Einfuhrung in die mathematische Theorie der
Lie-Gruppen. Etwa die erste Halfte des Buches handelt von
Matrizengruppen. Abstrakte Konzepte (auch Mannigfaltigkeiten)
werden erst in der zweiten Halfte vorgestellt. Zur Motivation und
zum besseren historischen Verstandnis sind kurze Texte klassischer
Autoren (wie Sophus Lie selbst) mit eingeflochten. Ausserdem gibt
es zur Anschaulichkeit ein eigenes Kapitel, das ausschliesslich von
diversen geometrischen Transformationsgruppen handelt. Dabei wird
konkret auf die klassischen Geometrien eingegangen.
Als Vorkenntnisse werden nur die ublichen Studieninhalte des
ersten Jahres im Mathematik- oder Physik-Studium vorausgesetzt,
soweit sie die Analysis und die Lineare Algebra betreffen. Das Buch
beginnt damit auf sehr elementarem Niveau. Alles andere wird nicht
nur eingefuhrt, sondern alle Satze werden auch bewiesen. Auf
Verstandlichkeit wird grossen Wert gelegt. Daher eignet sich das
Buch insbesondere als Begleittext zu Lehrveranstaltungen (auch
Proseminaren) in den Bachelor-Studiengangen, aber auch im
Lehramtsstudium und zum Selbststudium.
Das Buch enthalt zahlreiche Ubungsaufgaben mit Losungshinweisen
oder vollstandiger Losung.
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."
A proven classic. This timeless pocket atlas is the ideal visual
companion to histology and cytology textbooks. First published in
1950 and translated into eight languages, Kuehnel's Pocket Atlas of
Cytology, Histology and Microscopic Anatomy is a proven classic.
The fully revised and updated fourth edition contains 745
full-color illustrations - almost 200 more than were included in
the third edition. Superb, high-quality microphotographs and
pathologic stains are accompanied by legends, informative texts,
and numerous cross-references. Key features of the updated fourth
edition: More than 700 high-quality illustrations using advanced
techniques in histology and electron microscopy Practical,
information Concise and focused text Key concepts and ideas
illustrated in less than 550 pages Ideal for exam preparation, this
world-class book is an indispensable visual study tool for medical,
dental and biology students. It can also serve as an outstanding
review and refresher text.
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.
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