Introduction to Higher Algebra
Author : Maxime Bôcher
Publisher :
Page : 348 pages
File Size : 50,57 MB
Release : 1907
Category : Algebra
ISBN :
Author : Maxime Bôcher
Publisher :
Page : 348 pages
File Size : 50,57 MB
Release : 1907
Category : Algebra
ISBN :
Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
Page : 540 pages
File Size : 11,74 MB
Release : 2012-12-04
Category : Mathematics
ISBN : 1441987029
An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Author : Lindsay Childs
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 23,22 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468400657
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
Page : 592 pages
File Size : 34,81 MB
Release : 2008-11-26
Category : Mathematics
ISBN : 0387745270
This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
Author : Bocher Maxime
Publisher :
Page : pages
File Size : 12,25 MB
Release : 1901
Category :
ISBN : 9780259617792
Author : Maxime Bôcher
Publisher :
Page : 344 pages
File Size : 30,24 MB
Release : 1907
Category : Algebra
ISBN :
Author : A. Mostowski
Publisher : Elsevier
Page : 475 pages
File Size : 24,19 MB
Release : 2014-07-18
Category : Mathematics
ISBN : 1483280357
Introduction to Higher Algebra is an 11-chapter text that covers some mathematical investigations concerning higher algebra. After an introduction to sets of functions, mathematical induction, and arbitrary numbers, this book goes on considering some combinatorial problems, complex numbers, determinants, vector spaces, and linear equations. These topics are followed by discussions of the determination of polynomials in ne variable, rings of real and complex polynomials, and algebraic and transcendental numbers. The final chapters deal with the polynomials in several variables, symmetric functions, the theory of elimination, and the quadratic and Hermitian forms. This book will be of value to mathematicians and students.
Author : Maxime Bocher
Publisher :
Page : 321 pages
File Size : 44,37 MB
Release : 1947
Category :
ISBN :
Author : Abraham Adrian Albert
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 44,9 MB
Release : 2018-03-21
Category : Mathematics
ISBN : 0486823849
Originally published: Chicago: University of Chicago Press, 1937.
Author : Maxime Bôcher
Publisher :
Page : 0 pages
File Size : 27,22 MB
Release : 1929
Category :
ISBN : 9780722230381