Elements of Abstract Algebra

Elements of Abstract Algebra
Author: Allan Clark
Publisher: Courier Corporation
Total Pages: 242
Release: 2012-07-06
Genre: Mathematics
ISBN: 0486140350

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.

Introduction to Analysis of the Infinite

Introduction to Analysis of the Infinite
Author: Leonhard Euler
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461210216

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..."

An Introduction to Algebraic Structures

An Introduction to Algebraic Structures
Author: Joseph Landin
Publisher: Courier Corporation
Total Pages: 275
Release: 2012-08-29
Genre: Mathematics
ISBN: 0486150410

This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

Elements of Number Theory

Elements of Number Theory
Author: John Stillwell
Publisher: Springer Science & Business Media
Total Pages: 266
Release: 2012-11-12
Genre: Mathematics
ISBN: 0387217355

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.

An Introduction to the Elements of Algebra

An Introduction to the Elements of Algebra
Author: Leonhard Euler
Publisher: Forgotten Books
Total Pages: 232
Release: 2017-11-22
Genre: Mathematics
ISBN: 9780331712308

Excerpt from An Introduction to the Elements of Algebra: Designed for the Use of Those Who Are Acquainted Only With the First Principles of Arithmetic; Selected From the Algebra of Euler None but those who are just entering upon the study of Mathematics need to be informed of the high character of Euler's Algebra. It has been allowed to hold the very first place among elementary works upon this subject. The author was a man of genius. He did not, like most writers, compile from others. He wrote from his own reflections. He simplified and im proved what was known, and added much that was new. He is particularly distinguished for the olearness and comprehensiveness of his views. He seems to have the subject of which he treats present to his mind in all its relations and hearings before he begins to write. The parts of it are arranged in the most admirable order. Each step is introduced by the preceding, and leads to that which follows, and the whole taken together constitutes an entire and connected piece, like a highly wrought story. 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 Mathematics

Elements of Mathematics
Author: John Stillwell
Publisher: Princeton University Press
Total Pages: 440
Release: 2016
Genre: Mathematics
ISBN: 0691171688

An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Elements of Linear Algebra

Elements of Linear Algebra
Author: P.M. Cohn
Publisher: Routledge
Total Pages: 241
Release: 2017-10-19
Genre: Mathematics
ISBN: 1351452843

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.