This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Diffusion Tensor Imaging (DTI) is a variation of diffusion-weighed imaging. Particularly in the neurosciences, this technique has gained tremendous momentum in the past decade, both from a technical point of view as well as in its applications. DTI is mainly used in neurological diagnosis and psychiatric and neurologic research, e.g. in order to locate brain tumors and depict their invasivity. DTI offers a unique in-vivo insight into the three-dimensional structure of the human central nervous system. While easy interpretation and evaluation is often hampered by the complexity of both the technique and neuroanatomy, this atlas helps you recognize every one of the important structures rapidly and unambiguously. In the introduction, this atlas provides a concise outline of the evolution of diffusion imaging and describes its potential applications. In the core part of the atlas, the neuroanatomically important structures are clearly labeled both on DTI-derived color maps and conventional MRI. Complex fiber architecture is illustrated schematically and described concisely in textboxes directly on the relevant page. In the final part of the atlas, a straightforward, step-by-step approach for the three-dimensional reconstruction of the most prominent fiber structures is given, and potential pitfalls are indicated. The atlas aims at neuroscientists, neuoanatomists, neurologists, psychiatrists, clinical psychologists, physicists, and computer scientists. For advanced users, the atlas may serve as a reference work, while students and scientists are thoroughly introduced in DTI.
Diffusion Tensor Imaging (DTI) is a variation of diffusion-weighed imaging. Particularly in the neurosciences, this technique has gained tremendous momentum in the past decade, both from a technical point of view as well as in its applications. DTI is mainly used in neurological diagnosis and psychiatric and neurologic research, e.g. in order to locate brain tumors and depict their invasivity. DTI offers a unique in-vivo insight into the three-dimensional structure of the human central nervous system. While easy interpretation and evaluation is often hampered by the complexity of both the technique and neuroanatomy, this atlas helps you recognize every one of the important structures rapidly and unambiguously. In the introduction, this atlas provides a concise outline of the evolution of diffusion imaging and describes its potential applications. In the core part of the atlas, the neuroanatomically important structures are clearly labeled both on DTI-derived color maps and conventional MRI. Complex fiber architecture is illustrated schematically and described concisely in textboxes directly on the relevant page. In the final part of the atlas, a straightforward, step-by-step approach for the three-dimensional reconstruction of the most prominent fiber structures is given, and potential pitfalls are indicated. The atlas aims at neuroscientists, neuoanatomists, neurologists, psychiatrists, clinical psychologists, physicists, and computer scientists. For advanced users, the atlas may serve as a reference work, while students and scientists are thoroughly introduced in DTI.
This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
A valuable learning tool as well as a reference, this book provides students and researchers in surface science and nanoscience with the theoretical crystallographic foundations, which are necessary to understand local structure and symmetry of bulk crystals, including ideal and real single crystal surfaces. The author deals with the subject at an introductory level, providing numerous graphic examples to illustrate the mathematical formalism. The book brings together and logically connects many seemingly disparate structural issues and notations used frequently by surface scientists and nanoscientists. Numerous exercises of varying difficulty, ranging from simple questions to small research projects, are included to stimulate discussions about the different subjects. From the contents: Bulk Crystals, Three-Dimensional Lattices - Crystal Layers, Two-Dimensional Lattices, Symmetry - Ideal Single Crystal Surfaces - Real Crystal Surfaces - Adsorbate layers - Interference Lattices - Chiral Surfaces - Experimental Analysis of Real Crystal Surfaces - Nanoparticles and Crystallites - Quasicrystals - Nanotubes
Laser diodes represent a key element in the emerging field of opto electronics which includes, for example, optical communication, optical sensors or optical disc systems. For all these applications, information is either transmitted, stored or read out. The performance of these systems depends to a great deal on the performance of the laser diode with regard to its modulation and noise characteristics. Since the modulation and noise characteristics of laser diodes are of vital importance for optoelectronic systems, the need for a book arises that concentrates on this subject. This book thus closes the gap between books on the device physics of semiconductor lasers and books on system design. Complementary to the specific topics concerning modulation and noise, the first part of this book reviews the basic laser characteristics, so that even a reader without detailed knowledge of laser diodes may follow the text. In order to understand the book, the reader should have a basic knowledge of electronics, semiconductor physics and optical communica tions. The work is primarily written for the engineer or scientist working in the field of optoelectronics; however, since the book is self-contained and since it contains a lot of numerical examples, it may serve as a textbook for graduate students. In the field of laser diode modulation and noise a vast amount has been published during recent years. Even though the book contains more than 600 references, only a small part of the existing literature is included.
Ayurveda and Yoga - Prevention and Self-Healing through Awareness" is intended as a small guide to a fulfilling and happy life through self-knowledge. Ayurveda and yoga point the way to how life can be made healthier and how living conditions can be influenced to promote good health and a happy life. Following his education as a naturopath and completion of a university degree in business administration Klaus-Rupprecht Wasmuht successfully pursued a career in industry and later became an independent entrepreneur in England. Since 2003 he has devoted himself exclusively to health care. During his multi-annual training and further education in authentic ayurvedic healing treatments in South India, he has been able to establish close contacts with numerous Vaidyas in the last 15 years, leading to a lively exchange of experience. Currently in charge of the Ayurveda and naturopathic practice in the Hanseatic city of Lübeck, he is author of scientific publications and active as a speaker and seminar leader at the Federal Association "Freie Heilpraktiker e.V. Berufs- und Fachverband" (Federal Association of Independent Health Practitioners).
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
The German contribution in a famous Turkish victory at Gallipoli has been overshadowed by the Mustafa Kemal legend. The commanding presence of German General Liman von Sanders in the operations is well known. But relatively little is known about the background of German military intervention in Ottoman affairs. Klaus Wolf fills this gap as a result of extensive research in the German records and the published literature. He examines the military assistance offered by the German Empire in the years preceding 1914 and the German involvement in ensuring that the Ottomans fought on the side of the Central Powers and that they made best use of the German military and naval missions. He highlights the fundamental reforms that were required after the battering the Turks received in various Balkan wars, particularly in the Turkish Army, and the challenges that faced the members of the German missions. When the allied invasion of Gallipoli was launched, German officers became a vital part of a robust Turkish defense – be it at sea or on land, at senior command level or commanding units of infantry and artillery. In due course German aviators were to be, in effect, founding fathers of the Turkish air arm; whilst junior ranks played an important part as, for example, machine gunners. This book is not only their missing memorial but a missing link in understanding the tragedy that was Gallipoli.
Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
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