This book, "A German preparatory course with exercises," by Eduard Schinzel, is a replication of a book originally published before 1867. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible.
This book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.
Highly flexible in format, this basic exercise manual is designed for a wide range of uses, offering balanced coverage of traditional topics and a great variety of practical exercises that vary in rigor and emphasize the use of real data. Supportive text and finely focused study questions are included to both help readers "discover" the meaning and significance of conditions from actual weather/atmospheric data, and to reinforce basic concepts and interrelationships among topics. Discusses traditional topics such as the atmosphere, Earth-sun relationships, solar radiation, climate and climatic analysis, etc. Topics place great emphasis throughout on working with real data. Gives special treatment to the weather map as a basic tool.
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