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This volume includes topics such as: invariants of strongly pseudoconvex CR manifolds; the integral formulas of the Pontrjagin characteristic forms on an oriented differentiable manifold; the construction of tensor fields and connections on the frame bundle; and cellular manufacturing systems.
The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstandin...
Contents:My Early Life, 1913–1948 (Y-C Wong)On the Eigenvalues and Numerical Range of a Quaternionic Matrix (Y-H Au-Yeung)Monopoles as Fibre Bundles and Strings as Infinite Rank Tensors (H-M Chan & S T Tsou)Approximation by Affine Functions (J-T Chan)A Review on Optimal Design for Mixture Models (L-Y Chan)Griffiths' Formalism on the Calculus of Variations via Exterior Differential Systems (W-S Cheung)Change of Measures, Likelihood Ratio Martingales and Some Applications (T L Lai)Beyond the Impossibility of a 16-Square Identity (K Y Lam & P Yiu)Lie Group Homomorphisms which Induce Isomorphisms of Representation Rings (S P Lam)A Lifting Theorem, and Rings with Isomorphic Matrix Rings (T Y La...
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and author's own contributions to Bernstein type theorems for higher codimensions. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.
The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. The Congressional Record began publication in 1873. Debates for sessions prior to 1873 are recorded in The Debates and Proceedings in the Congress of the United States (1789-1824), the Register of Debates in Congress (1824-1837), and the Congressional Globe (1833-1873)
This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists who visited the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute's newsletter Imprints during the period 2010-2020, they offer glimpses of an esoteric universe as viewed and experienced by some of the leading and creative practitioners of the craft of mathematics.The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer sc...
The University of Hong Kong is one of Hong Kong’s largest single community enterprises. First incorporated as a self-governing body of scholars by the University Ordinance of 1911 its first faculties were formed from the Hong Kong College of Medicine founded in 1887. The growth and development of the University to its present internationally-recognized status is a continuing process, but the Council of the University has commissioned the writing and publication of this informal account as a sort of Festschrift for the first seventy years of its existence. After these years of vicissitude, including a complete break in its formal existence during the six years of 1942-47, it has emerged as one of the most influential single forces in the long process of creating an intellectual and cultural identity for the territory of Hong Kong.