Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.
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Category: Geometry
Modern Geometry (Classic Reprint)
Excerpt from Modern Geometry
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The Teaching of Drawing (Classic Reprint)
Excerpt from The Teaching of Drawing
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Conic Sections and Analytical Geometry: Theoretically and Practically Illustrated (Classic Reprint)
Excerpt from Conic Sections and Analytical Geometry: Theoretically and Practically Illustrated
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Euclid’s Elements of Geometry: Books I. II. III. IV. VI. and Portions of Books V. and XI, with Notes, Examples, Exercises, Appendices and a Collection of Examination Papers (Classic Reprint)
Excerpt from Euclid’s Elements of Geometry: Books I. II. III. IV. Vi. And Portions of Books V. And XI., With Notes, Examples, Exercises, Appendices and a Collection of Examination Papers
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String, Straight-edge and Shadow: The Story of Geometry
From the early peoples who marvelled at the geometry of nature — the beehive and bird’s nest — to ancient civilisations who questioned beautiful geometric forms and asked ‘why?’, the story of geometry spans thousands of years. Using only three simple tools — the string, the straight-edge and the shadow — human beings revealed the basic principles and constructions of elementary geometry. Weaving history and legend, this fascinating book reconstructs the discoveries of mathematics’s most famous figures. Through illustrations and diagrams, readers are able to follow the reasoning that lead to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, or the construction of the five regular solids. This insightful and engaging book makes geometry accessible to everyone. Readers will be fascinated with how the knowledge and wisdom of so many cultures helped shape our civilisation today. String, Straight-edge and Shadow is also a useful and inspiring book for those teaching geometry in Steiner-Waldorf classrooms.
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Euclid’s Elements of Geometry: Books I. II. III. IV. VI. and Portions of Books V. and XI, with Notes, Examples, Exercises, Appendices and a Collection of Examination Papers (Classic Reprint)
Excerpt from Euclid’s Elements of Geometry: Books I. II. III. IV. Vi. And Portions of Books V. And XI., With Notes, Examples, Exercises, Appendices and a Collection of Examination Papers
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