Author: Leonhard EulerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 960
Book Description
Elements of Algebra
Author: Leonhard EulerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 960
Book Description
Elements Of Algebra; Volume 1
Author: Leonhard EulerPublisher: Legare Street Press
ISBN: 9781016177900
Category :
Languages : en
Pages : 0
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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Abstract Algebra
Author: Allan ClarkPublisher: Courier Corporation
ISBN: 0486140350
Category : Mathematics
Languages : en
Pages : 242
Book Description
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Elements of Number Theory
Author: John StillwellPublisher: Springer Science & Business Media
ISBN: 0387217355
Category : Mathematics
Languages : en
Pages : 266
Book Description
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.
The Thirteen Books of Euclid's Elements
Author: EuclidPublisher: Createspace Independent Publishing Platform
ISBN: 9781546376675
Category :
Languages : en
Pages : 448
Book Description
Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.
Introduction to Analysis of the Infinite
Author: Leonhard EulerPublisher: Springer Science & Business Media
ISBN: 1461210216
Category : Mathematics
Languages : en
Pages : 341
Book Description
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."
The Elements of Algebra, Vol. 1
Author: John William ColensoPublisher: Forgotten Books
ISBN: 9781330072875
Category : Mathematics
Languages : en
Pages : 214
Book Description
Excerpt from The Elements of Algebra, Vol. 1: Designed for the Use of Schools 1. Algebra is the science which reasons about quantities by means of letters of the Alphabet, and certain signs and symbols, which are employed to represent both the quantities themselves, and the manner in which they are connected with others. Thus we might put a to represent 7. and then twice a would represent 14; or we might put a to represent 3, and then twice a would represent 6, three times a, 9, &c. 2. The sign = (equal) denotes that the quantities between which it stands are equal to one another. Thus, if a = 17, then twice a = 34. 3. The sign stands for then or therefore, and for since or because. 4. The sign + (plus) denotes that the quantity before which it stands is added, and the sign - (minus) that the quantity before which it stands is subtracted. Thus 5 + 3 = 8, 5-3 = 2; and if a = 3 and 5 = 4, then a + b = 3 + 4 = 7, a + b + 2 = 3 + 4 + 2 = 9, 10- a = 10 - 3 = 7, 10- a - b = 10 - 3 - 4 = 7 - 4 = 3. The sign ~ is used to denote that the less of two quantities is taken from the greater, when it is not known which is the greater. Thus o-5 denotes the difference between a and b. 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.
Elements of Linear Algebra
Author: P.M. CohnPublisher: CRC Press
ISBN: 9780412552809
Category : Mathematics
Languages : en
Pages : 244
Book Description
This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding. The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.
Elements Of Algebra; Volume 2
Author: Leonhard EulerPublisher: Legare Street Press
ISBN: 9781016747264
Category :
Languages : en
Pages : 0
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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Algebra I
Author: N. BourbakiPublisher: Springer Science & Business Media
ISBN: 9783540642435
Category : Mathematics
Languages : en
Pages : 750
Book Description
An exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, and the third investigatesalgebras, particularly tensor algebras.