Introduction to Higher Algebra

✍ Scribed by Andrzej Mostowski, M. Stark

• Publisher: Elsevier
• Year: 1963
• Tongue: English
• Leaves: 466
• Series: Pure & Applied Mathematics Monograph
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Content:
OTHER TITLES IN THE SERIES ON PURE AND APPLIED MATHEMATICS, Page 2
Front Matter, Page 3
Copyright, Page 4
CHAPTER I - INTRODUCTION, Pages 11-27
CHAPTER II - SOME COMBINATORIAL PROBLEMS, Pages 28-56
CHAPTER III - COMPLEX NUMBERS, Pages 57-103
CHAPTER IV - DETERMINANTS, Pages 104-162
CHAPTER V - VECTOR SPACES AND LINEAR EQUATIONS, Pages 163-201
CHAPTER VI - POLYNOMIALS IN ONE VARIABLE, Pages 202-266
CHAPTER VII - RINGS OF REAL AND COMPLEX POLYNOMIALS, Pages 267-304
CHAPTER VIII - RING OF RATIONAL POLYNOMIALS. ALGEBRAIC AND TRANSCENDENTAL NUMBERS, Pages 305-327
CHAPTER IX - POLYNOMIALS IN SEVERAL VARIABLES AND SYMMETRIC FUNCTIONS, Pages 328-370
CHAPTER X - THE THEORY OF ELIMINATION, Pages 371-394
CHAPTER XI - QUADRATIC AND HERMITIAN FORMS, Pages 395-448
APPENDIX - SOME PROPERTIES OF MATRICES AND QUADRATIC FORMS, Pages 449-467
INDEX, Pages 469-474