Download or read book Selected Papers Of Wilhelm P A Klingenberg written by Wilhelm P A Klingenberg and published by World Scientific. This book was released on 1991-11-18 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of selected papers of Klingenberg covers some of the important mathematical aspects of Riemannian Geometry, Closed Geodesics, Geometric Algebra, Classical Differential Geometry and Foundations of Geometry of Klingenberg. Of significance were his contributions to Riemannian Geometry in the Large which opened a new area in Global Riemannian Geometry. He also introduced the Hilbert manifold of closed curves of class H1 on a Riemannian manifold. In connection with his work in closed geodesics, he became interested in the properties of the geodesic flow. Classical results from dynamical systems became useful tools for the study of closed geodesics. He was also credited for drawing closer together Riemannian Geometry and Hamiltonian systems, which had developed separately since the time of H Poincaré.Besides publishing research papers, Klingenberg also wrote a dozen books and lecture notes, among which is the important reference work “Riemannsche Geometrie im Groβen”.
Download or read book Selected Papers of Morikazu Toda written by Morikazu Toda and published by World Scientific. This book was released on 1993 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers of Dr Morikazu Toda. The papers are arranged in chronological order of publishing dates. Among Dr Toda's many contributions, his works on liquids and nonlinear lattice dynamics should be mentioned. The one-dimensional lattice where nearest neighboring particles interact through an exponential potential is called the Toda lattice which is a miracle and indeed a jewel in theoretical physics. The papers in this volume can be grouped into five subjects: statistical mechanics, theory of liquids and solutions, lattice dynamics, Toda lattice and soliton theory and its applications.
Download or read book Goldbach Conjecture 2nd Edition written by Yuan Wang and published by World Scientific. This book was released on 2002-11-20 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of a most important unsolved mathematical problem — the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture.
Download or read book Almost Complex and Complex Structures written by C. C. Hsiung and published by World Scientific. This book was released on 1995 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained fundamental study of the subject. Besides the following special features it contains the author's detailed solution to the long-standing unsolved problem in the theory of complex manifolds: Does there exist a complex structure on the six-sphere? The special features of the book are: a classification of almost complex (and similarly, almost Hermitian) structures together with inclusion relations; discussions about various known almost Hermitian structures; a necessary and sufficient condition for a general almost Hermitian manifold to have constant holomorphic sectional (or bisectional) curvature and similar conditions for various special almost Hermitian manifolds; some complex Laplacians together with some of their relationships with the real Laplacian; the spectral geometry of Riemannian manifolds and some general almost Hermitian manifolds including Khlerian manifolds as a special case; conditions for an almost complex structure to be a complex structure; some vanishing theorems for Riemannian and almost Hermitian manifolds.
Download or read book The Goldbach Conjecture written by Yuan Wang and published by World Scientific. This book was released on 2002 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of a most important unsolved mathematical problem OCo the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920''s. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture."
Download or read book Structuralism And Structures written by Charles E Rickart and published by World Scientific. This book was released on 1995-02-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term “structuralism” refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper understanding of the concept of structure than is provided by the simple intuitive notion of structures that everyone posseses to some degree. Therefore, a large part of the discussion is devoted directly or indirectly to a study of the nature of structures themselves. A formal definition of a structure, plus some basic general properties and examples, is given early in the discussion. Also, in order to clarify the general notions and to see how they are used, the later chapters are devoted to an examination of how structures enter into some special fields, including linguistics, mental phenomena, mathematics (and its applications), and biology (especially in the theory of evolution). Because the author is a mathematician, certain mathematical ideas have influenced greatly the choice and approach to the material covered. In general, however, the mathematical influence is not on a technical level and is often only implicit. Even the chapter on mathematical structures is nontechnical and is about rather than on mathematics. Only in the last chapter and earlier in three short sections does one find any of the expected “formal” mathematics. In other words, the great bulk of the material is accessible to someone without a mathematical background.
Download or read book Translation Generalized Quadrangles written by Joseph Adolf Thas and published by World Scientific. This book was released on 2006 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translation generalized quadrangles play a key role in the theory of generalized quadrangles, comparable to the role of translation planes in the theory of projective and affine planes. The notion of translation generalized quadrangle is a local analogue of the more global ?Moufang Condition?, a topic of great interest, also due to the classification of all Moufang polygons. Attention is thus paid to recent results in that direction, but also many of the most important results in the general theory of generalized quadrangles that appeared since 1984 are treated.Translation Generalized Quadrangles is essentially self-contained, as the reader is only expected to be familiar with some basic facts on finite generalized quadrangles. Proofs that are either too long or too technical are left out, or just sketched. The three standard works on generalized quadrangles are (co-)authored by the writers of this book: ?Finite Generalized Quadrangles? (1984) by S E Payne and J A Thas, ?Generalized Polygons? (1998) by H Van Maldeghem, and ?Symmetry in Finite Generalized Quadrangles? (2004) by K Thas.
Download or read book Complex Variable Methods In Plane Elasticity written by Jian-ke Lu and published by World Scientific. This book was released on 1995-09-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.
Download or read book Introduction to the Theory of Complex Functions written by Jian-Ke Lu and published by World Scientific. This book was released on 2002 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region ? which is very useful in applications but not seen in textbooks written in English.
Download or read book Topics in Mathematical Analysis and Differential Geometry written by Nicolas K. Laos and published by World Scientific. This book was released on 1998 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.
Download or read book Total Mean Curvature And Submanifolds Of Finite Type 2nd Edition written by Bang-yen Chen and published by World Scientific Publishing Company. This book was released on 2014-10-29 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.
Download or read book Backgrounds Of Arithmetic And Geometry An Introduction written by Dan Branzei and published by World Scientific. This book was released on 1995-10-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to the foundations of Mathematics. The use of the constructive method in Arithmetic and the axiomatic method in Geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
Download or read book Introduction to the Theory of Complex Functions written by Jian-Ke Lu and published by World Scientific Publishing Company. This book was released on 2002-11-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the teaching experience of the authors, and therefore some of the topics are presented in a new form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region — which is very useful in applications but not seen in textbooks written in English.
Download or read book Topics In Integral Geometry written by De-lin Ren and published by World Scientific Publishing Company. This book was released on 1994-07-05 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentials of integral geometry in a homogenous space are presented and the focus is on the basic results and applications. This book provides the readers with new findings, some being published for the first time and serves as an excellent graduate text.
Download or read book Geometry Of Spherical Space Form Groups The Second Edition written by Peter B Gilkey and published by World Scientific. This book was released on 2018-01-04 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group.This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved.
Download or read book Boundary Value Problems For Analytic Functions written by Jian-ke Lu and published by World Scientific. This book was released on 1994-02-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincaré-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.
Download or read book Sammlung written by Jean Louis Koszul and published by World Scientific. This book was released on 1994 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together the major contributions of J L Koszul and some expository articles. They are organized in chronological order.The main subjects included are: cohomology of Lie algebras; relative cohomology; reductive subalgebras and transgression theorem; the formalism of spectral sequences; ?Koszul complexes?; proper and differentiable actions of Lie groups; slices; hermitian forms on complex homogeneous domains; bounded domains; locally flat manifolds; convex homogeneous domains; simplicial spaces; themes related to Gelfand Fuks theory and supergeometry.
