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Author: Lynn Margaret Batten Publisher: Cambridge University Press ISBN: 0521333172 Category : Mathematics Languages : en Pages : 228
Book Description
This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. A combinatorial approach is used for the greater part of the book but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there are exercises and a section of research problems.
Author: Lynn Margaret Batten Publisher: Cambridge University Press ISBN: 0521333172 Category : Mathematics Languages : en Pages : 228
Book Description
This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. A combinatorial approach is used for the greater part of the book but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there are exercises and a section of research problems.
Author: Klaus Metsch Publisher: Springer ISBN: 3540464441 Category : Mathematics Languages : en Pages : 208
Book Description
A famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd|s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part of itsstructure. Many results related to this conjecture have been proved in the last twenty years. This monograph surveys the subject and presents several new results, such as the recent proof of the Dowling-Wilsonconjecture. Typical methods used in combinatorics are developed so that the text can be understood without too much background. Thus the book will be of interest to anybody doing combinatorics and can also help other readers to learn the techniques used in this particular field.
Author: Paul R. Halmos Publisher: Courier Dover Publications ISBN: 0486822265 Category : Mathematics Languages : en Pages : 209
Book Description
Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.
Author: Georgi E. Shilov Publisher: Courier Corporation ISBN: 0486139433 Category : Mathematics Languages : en Pages : 323
Book Description
Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.
Author: Vitali D. Milman Publisher: Springer ISBN: 3540388222 Category : Mathematics Languages : en Pages : 166
Book Description
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie].
Author: Paul R. Halmos Publisher: Princeton University Press ISBN: 1400882230 Category : Mathematics Languages : en Pages : 196
Book Description
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics. In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space."
Author: Paul R (Paul Richard) 1916- Halmos Publisher: Hassell Street Press ISBN: 9781013915352 Category : Languages : en Pages : 216
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Marián Fabian Publisher: Springer Science & Business Media ISBN: 1441975152 Category : Mathematics Languages : en Pages : 820
Book Description
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
Author: Lynn Margaret Batten
Author: Lynn Margaret Batten
Author: Klaus Metsch
Author: Paul R. Halmos
Author: Georgi E. Shilov
Author: Paul R. Halmos
Author: Vitali D. Milman
Author: Paul R. Halmos
Author: Paul R (Paul Richard) 1916- Halmos
Author: Robert Schatten
Author: Marián Fabian