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Author : Percey Franklyn Smith,Arthur Sullivan Gale,John Haven Neelley
Publisher : Unknown
Page : 366 pages
File Size : 55,5 Mb
Release : 1928
Category : Geometry, Analytic
ISBN : UCAL:$B278208
Author : Percey F. Smith,Arthur Sullivan Gale
Publisher : Alpha Edition
Page : 360 pages
File Size : 54,6 Mb
Release : 2019-12-10
Category : History
ISBN : 9353929466
This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.
Author : Percey Franklyn Smith,Arthur Sullivan Gale
Publisher : Unknown
Page : 342 pages
File Size : 41,5 Mb
Release : 1904
Category : Geometry, Analytical
ISBN : OCLC:298781782
Author : Carl B. Boyer
Publisher : Courier Corporation
Page : 306 pages
File Size : 52,8 Mb
Release : 2012-06-28
Category : Mathematics
ISBN : 9780486154510
This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.
Author : Stanislaw Lojasiewicz
Publisher : Birkhäuser
Page : 535 pages
File Size : 48,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783034876179
facts. An elementary acquaintance with topology, algebra, and analysis (in cluding the notion of a manifold) is sufficient as far as the understanding of this book is concerned. All the necessary properties and theorems have been gathered in the preliminary chapters -either with proofs or with references to standard and elementary textbooks. The first chapter of the book is devoted to a study of the rings Oa of holomorphic functions. The notions of analytic sets and germs are introduced in the second chapter. Its aim is to present elementary properties of these objects, also in connection with ideals of the rings Oa. The case of principal germs (§5) and one-dimensional germs (Puiseux theorem, §6) are treated separately. The main step towards understanding of the local structure of analytic sets is Ruckert's descriptive lemma proved in Chapter III. Among its conse quences is the important Hilbert Nullstellensatz (§4). In the fourth chapter, a study of local structure (normal triples, § 1) is followed by an exposition of the basic properties of analytic sets. The latter includes theorems on the set of singular points, irreducibility, and decom position into irreducible branches (§2). The role played by the ring 0 A of an analytic germ is shown (§4). Then, the Remmert-Stein theorem on re movable singularities is proved (§6). The last part of the chapter deals with analytically constructible sets (§7).
Author : Arthur Sullivan Gale,Percey F 1867-1956 Smith
Publisher : Palala Press
Page : 360 pages
File Size : 42,6 Mb
Release : 2015-11-18
Category : Electronic
ISBN : 1346780463
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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Frederick S. Woods
Publisher : Courier Corporation
Page : 442 pages
File Size : 44,6 Mb
Release : 2013-10-29
Category : Mathematics
ISBN : 9780486159560
For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry. Developed from Professor Woods' lectures at the Massachusetts Institute of Technology, it bridges the gap between intermediate studies in the field and highly specialized works. With exceptional thoroughness, it presents the most important general concepts and methods of advanced algebraic geometry (as distinguished from differential geometry). It offers a thorough study of one-, two-, three-, and four-dimensional coordinated systems, the concepts they entail, and their associated geometrical elements. This study culminates with a discussion of n-dimensional geometry in an abstract sense, of which the earlier subjects form concrete illustrations. As each system of coordinates is introduced, the meaning of the linear and quadratic equations is studied, with principal emphasis on the interpretation of equations as well as on a knowledge of useful geometrical facts. The principle of duality is kept at the forefront, and the nature of imaginary elements and the conventional character of the locus of infinity, dependent upon the type of coordinates used, are carefully explained.
Author : Arthur Sullivan 1877 Gale,Percey F. (Percey Franklyn) 1867 Smith
Publisher : Wentworth Press
Page : 366 pages
File Size : 53,5 Mb
Release : 2016-08-28
Category : History
ISBN : 1372123199
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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Percey F. Smith
Publisher : Forgotten Books
Page : 360 pages
File Size : 45,9 Mb
Release : 2017-09-09
Category : Mathematics
ISBN : 1528233921
Excerpt from New Analytic Geometry A glance at the Table of Contents of the present volume Will reveal the fact that the subject matter differs in many respects from that included in current textbooks on analytic geometry.. The authors have recognized the great importance, in the applications, of the exponential and trigonometric func tions, of setting up and studying functions by their graphs, of parametric equations and the locus problem, and of fitting curves to points determined by empirically given data. To meet this need chapters have been included covering all these topics. The discussion in Chapter VI of transcendental curves and equations is intended to be thorough, and tables are provided, Whenever useful, to lighten the labor of computation. A stu dent loses interest in a function if he is unable to calculate rapidly its numerical values. The problems of Chapter VIII provide a large variety of functions arising from applied prob lems, and careful graphing and measurement of maximum and minimum values are emphasized. The text of Chapter XII 311 Parametric Equations and Loci is unusually complete, and aare is taken to familiarize the student with those curves Which mom in applied mathematics. The study of locus problems )y means of parametric equations is amply illustrated. Chap er XX presents the topic of empirical equations and contains 1. Wide variety of problems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Arthur Sullivan Gale,Percey F 1867-1956 Smith
Publisher : Franklin Classics
Page : 232 pages
File Size : 40,7 Mb
Release : 2018-10-12
Category : Electronic
ISBN : 0342666967
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 : A. C. Burdette
Publisher : Academic Press
Page : 240 pages
File Size : 48,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262413
Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters. Other chapters highlight the application of graphing, foci, directrices, eccentricity, and conic-related topics. The remaining chapters deal with the concept polar and rectangular coordinates, surfaces and curves, and planes. This book will prove useful to undergraduate trigonometric students.
Author : D Kletenik
Publisher : The Minerva Group, Inc.
Page : 300 pages
File Size : 40,9 Mb
Release : 2002
Category : Geometry, Analytic
ISBN : 9780898757149
A translation of a Soviet text covering plane analytic geometry and solid analytic geometry.
Author : Donald W. Trim
Publisher : Addison Wesley Publishing Company
Page : 960 pages
File Size : 45,7 Mb
Release : 1983
Category : Mathematics
ISBN : UOM:39015004019777
Author : Vladimir G. Berkovich
Publisher : American Mathematical Soc.
Page : 169 pages
File Size : 46,8 Mb
Release : 2012-08-02
Category : Algebraic number theory
ISBN : 9780821890202
The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.
Author : Amnon Neeman
Publisher : Cambridge University Press
Page : 433 pages
File Size : 48,8 Mb
Release : 2007-09-13
Category : Mathematics
ISBN : 9780521709835
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.