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A Handbook of Terms used in Algebra and Analysis - A. G. Howson

A Handbook of Terms used in Algebra and Analysis

Paperback

Published: 6th November 1972
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Degree students of mathematics are often daunted by the mass of definitions and theorems with which they must familiarize themselves. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses. Rather than being like an alphabetical dictionary, the order and division of the sections correspond to the way in which mathematics can be developed. This arrangement, together with the numerous notes and examples that are interspersed with the text, will give students some feeling for the underlying mathematics. Many of the terms are explained in several sections of the book, and alternative definitions are given. Theorems, too, are frequently stated at alternative levels of generality. Where possible, attention is drawn to those occasions where various authors ascribe different meanings to the same term. The handbook will be extremely useful to students for revision purposes. It is also an excellent source of reference for professional mathematicians, lecturers and teachers.

Some mathematical language
Sets and functions
Equivalence relations and quotient sets
Number systems I
Groups I
Rings and fields
Homomorphisms and quotient algebra's
Vector spaces and matrices
Linear Equations and rank
Determinants and multi linear mappings
Polynomials
Groups II
Number systems II
Fields and polynomials
Lattices and Boolean algebra
Ordinal numbers
Eigenvectors and eigenvalues
Quadratic forms and inner products
Categories and functors
Metric spaces and continuity
Topological spaces and continuity
Metric Spaces II
The real numbers
Real-valued function of real variable
Differentiable functions of one variable
Functions of several real variables
Integration
Infinite series and products
Improper integrals
Curves and arc length
Functions of a complex variable
Multiple integrals
Logarithmic, exponential and trigonometric functions
Vector algebra
Vector calculus
Line and surface integrals
Measure and lebesgue integration
Fourier series
some 'named' theorems and properties
Alphabets used in mathematics
Index of symbols
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521096959
ISBN-10: 0521096952
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 252
Published: 6th November 1972
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 1.45
Weight (kg): 0.32