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Lectures on the Ricci Flow
An introduction to Ricci flow suitable for graduate students and research mathematicians.
Ricci-Calculus
This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus...
Matteo Ricci
Matteo Ricci (1552–1610), the first of the early Jesuit missionaries of the China mission, is widely considered the most outstanding cultural mediator of all time between China and the West. This engrossing and fluid book offers a thorough, knowledgeable biography of this fascinating and influential man, telling a deeply human and captivating story that still resonates today. Michela Fontana traces Ricci's travels in China in detail, providing a rich portrait of Ming China and the growing importance of cultural exchanges between China and the West. She shows how Ricci incorporated his ideas of "cultural accommodation" into both his life and his writings aimed at the Chinese elite. Her biography is the first to highlight Ricci's immensely important scientific work and that of key Christian converts, such as Xu Guangqi, who translated Euclid's Elements together with Ricci. Exploring the history of science in China and the West as well as their dramatically different cultural attitudes toward religious and philosophical issues, Michela Fontana introduces not only Ricci's life but the first significant encounter between Western and Chinese civilizations.
Tubes
This book expresses the full understanding of Weyl's formula for the volume of a tube, its roots and its implications. Historical notes and Mathematica drawings have been added to this revised second edition. From the reviews: "Will do much to make Weyl's tube formula more accessible to modern readers.... A high point is the presentation of estimates for the volumes of tubes in ambient Riemannian manifolds whose curvature is bounded above or below." --BULLETIN OF THE AMS
Differential Geometry Of Warped Product Manifolds And Submanifolds
A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important...
Curious Land
How the Jesuit accomodation to internal events in China laid the foundation for modern study of China in the West. First published as Studia Leibnitiana, Supplementa 25 (1985) by Fritz Steiner Verlag. Annotation copyright Book News, Inc. Portland, Or.
The Geometrical Beauty of Plants
This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.
