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Mathematics++: Selected Topics Beyond the Basic Courses (Student Mathematical Library, 75, Band 75) - Softcover
Inhaltsangabe
The book is a response to the observation that even in mathematics intensive disciplines like computer science, almost all the mathematics taught in the curriculum is from before the 20th century, because a foundation is all there is time for. Kantor, Matousek, and Samal developed a course for PhD students, and this book is an extension of their lecture notes. It introduces six selected areas of mostly 20th-century mathematics for students and other readers who have gone through the usual undergraduate courses and are accustomed to rigorous presentation with proofs. They are measure and integral, high-dimensional geometry and measure concentration, Fourier analysis, the representation of finite groups, polynomials, and topology. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Über die Autorin bzw. den Autor
Ida Kantor, Charles University, Prague, Czech Republic.
Jiri Matousek, Charles University, Prague, Czech Republic, and ETH, Zurich, Switzerland.
Robert Samal, Charles University, Prague, Czech Republic.
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Mathematics: Selected Topics Beyond the Basic Courses (eng)
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Paperback. Zustand: New. Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications-some quite surprising-in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields. Bestandsnummer des Verkäufers LU-9781470422615
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Mathematics++ : Selected Topics Beyond the Basic Courses
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Paperback. Zustand: Good. Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications-some quite surprising-in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields. Bestandsnummer des Verkäufers CIN1470422611G
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