Lectures On Fundamental Concepts Of Algebra And Geometry

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Lectures On Fundamental Concepts Of Algebra And Geometry

Author : Young John Wesley
Publisher : Read Books Ltd
Page : 256 pages
File Size : 55,8 Mb
Release : 2013-04-16
Category : Mathematics
ISBN : 9781473391468

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Lectures On Fundamental Concepts Of Algebra And Geometry by Young John Wesley Pdf

A book perfect for math student or keen amateur scientists who wish to learn more about algebra and geometry.

Lectures on Fundamental Concepts of Algebra and Geometry

Author : John Wesley Young
Publisher : Forgotten Books
Page : 259 pages
File Size : 50,5 Mb
Release : 2015-06-16
Category : Mathematics
ISBN : 1330334531

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Lectures on Fundamental Concepts of Algebra and Geometry by John Wesley Young Pdf

Excerpt from Lectures on Fundamental Concepts of Algebra and Geometry The following lectures contain an elementary account of the logical foundations of algebra and geometry, - elementary, in the sense that the technical mathematical equipment presupposed on the part of the reader has been reduced to a minimum. Except in a very few instances, no knowledge of mathematics beyond the most elementary portions of algebra and geometry has been assumed. It has been my purpose to give a general exposition of the abstract, formal point of view developed during the last few decades, rather than an exhaustive treatment of the details of the investigations. The results of recent work on the logical foundations are of vital interest alike to the teachers of mathematics in our secondary schools and colleges and to philosophers and logicians. I hope that both these classes will welcome a concise statement of some of the more fundamental of these results and an elementary exposition, omitting all involved details, of the point of view which governs all present work on the foundations. The book should be available also as a text in connection with so-called Teachers' Courses in colleges and universities. The lectures were given at the University of Illinois during the summer of 1909. 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.

Lectures on Fundamental Concepts of Algebra and Geometryconcepts of Algebra and Geometry

Author : Young John Wesley
Publisher : Sagwan Press
Page : 260 pages
File Size : 43,9 Mb
Release : 2018-02-07
Category : History
ISBN : 1377000834

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Lectures on Fundamental Concepts of Algebra and Geometryconcepts of Algebra and Geometry by Young John Wesley Pdf

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.

Lectures on Fundamental Concepts of Algebra and Geometry; With a Note on the Growth of Algebraic Symbolism

Author : Chair of International History John W Young,John W. Young,William W. Denton,U. G. Mitchell
Publisher : Trieste Publishing
Page : 268 pages
File Size : 42,9 Mb
Release : 2017-09-23
Category : History
ISBN : 0649628306

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Lectures on Fundamental Concepts of Algebra and Geometry; With a Note on the Growth of Algebraic Symbolism by Chair of International History John W Young,John W. Young,William W. Denton,U. G. Mitchell Pdf

Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.

Lectures on Algebraic Geometry II

Author : Günter Harder
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 46,8 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9783834881595

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Lectures on Algebraic Geometry II by Günter Harder Pdf

This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.

Lectures on Algebraic Topology

Author : Sergeĭ Vladimirovich Matveev
Publisher : European Mathematical Society
Page : 112 pages
File Size : 46,5 Mb
Release : 2006
Category : Mathematics
ISBN : 303719023X

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Lectures on Algebraic Topology by Sergeĭ Vladimirovich Matveev Pdf

Algebraic topology is the study of the global properties of spaces by means of algebra. It is an important branch of modern mathematics with a wide degree of applicability to other fields, including geometric topology, differential geometry, functional analysis, differential equations, algebraic geometry, number theory, and theoretical physics. This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner. It presents elements of both homology theory and homotopy theory, and includes various applications. The author's intention is to rely on the geometric approach by appealing to the reader's own intuition to help understanding. The numerous illustrations in the text also serve this purpose. Two features make the text different from the standard literature: first, special attention is given to providing explicit algorithms for calculating the homology groups and for manipulating the fundamental groups. Second, the book contains many exercises, all of which are supplied with hints or solutions. This makes the book suitable for both classroom use and for independent study.

Lectures in Projective Geometry

Author : A. Seidenberg
Publisher : Courier Corporation
Page : 244 pages
File Size : 49,5 Mb
Release : 2012-06-14
Category : Mathematics
ISBN : 9780486154732

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Lectures in Projective Geometry by A. Seidenberg Pdf

An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.

Lectures on Algebraic Geometry I

Author : Günter Harder
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 51,7 Mb
Release : 2008-08-01
Category : Mathematics
ISBN : 9783834895011

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Lectures on Algebraic Geometry I by Günter Harder Pdf

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.

Fundamental Concepts of Algebra

Author : Claude Chevalley
Publisher : Unknown
Page : 241 pages
File Size : 51,8 Mb
Release : 1956
Category : Algebra
ISBN : 0121720500

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Fundamental Concepts of Algebra by Claude Chevalley Pdf

Monoids; Groups; Rings and modules; Algebras; Associative algebras.

Fundamental Concepts of Algebra

Author : Bruce Elwyn Meserve
Publisher : Unknown
Page : 312 pages
File Size : 53,9 Mb
Release : 1953
Category : Algebra
ISBN : UOM:39015048715067

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Fundamental Concepts of Algebra by Bruce Elwyn Meserve Pdf

Lectures on Algebra

Author : Shreeram Shankar Abhyankar
Publisher : World Scientific
Page : 758 pages
File Size : 42,5 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812568267

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Lectures on Algebra by Shreeram Shankar Abhyankar Pdf

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel. Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

Lectures on Convex Geometry

Author : Daniel Hug,Wolfgang Weil
Publisher : Springer Nature
Page : 287 pages
File Size : 43,9 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9783030501808

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Lectures on Convex Geometry by Daniel Hug,Wolfgang Weil Pdf

This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minkowski theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.