Methods of Algebra
J.E. Hebborn, Charles Plumpton, "Methods of Algebra"
1985 | ISBN-10: 0333383656 | 104 pages | PDF | 1 MB
1985 | ISBN-10: 0333383656 | 104 pages | PDF | 1 MB
Preface
Advanced level mathematics syllabuse s are once again undergoing changes in
content and approach following the revolution in the early 1960swhich led to
the unfortunate dichotomy between 'modern' and 'traditional' mathematics.
The current trend in syllabuses for Advanced level mathematics now being
developed and published by many GCE Boards is towards an integrated
approach, taking the best of the topics and approaches of modern and
traditional mathematics, in an attempt to create a realistic examination target
through syllabuses which are maximal for examining and minimal for
teaching. In addition, resulting from a number of initiatives, core syllabuses
are being developed for Advanced level mathematics consisting of techniques
of pure mathematics as taught in schools and colleges at this level.
The concept of a core can be used in several ways, one of which is
mentioned above, namely the idea of a core syllabus to which options such as
theoretical mechanics, further pure mathematics and statistics can be added.
The books in this series are core books involving a different use of the core
idea. They are books on a range of topics , each of which is central to the
study of Advanced level mathematics, which together cover the main areas of
any single-subject mathematics syllabus at Advanced level.
Particularly at times when economic conditions make the problems of
acquiring comprehensive textbooks giving complete syllabus coverage acute,
schools and colleges and individual students can collect as many of the core
books as they need to supplement books they already have , so that the most
recent syllabuses of, for example , the London, Cambridge , AEB and JMB
GCE Boards can be covered at minimum expense . Alternatively, of course ,
the whole set of core books gives complete syllabus coverage of single-subject
Advanced level mathematics syllabuses .
The aim of each book is to develop a major topic of the single-subject
syllabuses , giving essential book work, worked examples and numerous
exercises arising from the authors' vast experience of examining at this level.
Thus, the core books, as well as being suitable for use in either of the above
ways, are ideal for supplementing comprehensive textbooks by providing
more examples and exercises, so necessary for the preparation and revision
for examinations.
The ability to carry out basic algebraic manipulations accurately and
quickly is essential for Advanced level mathematics and is the key to success
in many other aspects of mathematics. In this particular book we cover the
algebraic techniques essential for the core syllabus of pure mathematics now
being included byGCE Examining Boards in Advanced level syllabuses . The
many worked examples illustrating the various techniques employed form an
essential part of this book and are intended to ensure that the conscientious
student acquires a mastery of manipulative processes involving functions
(algebraic and transcendental), indices, surds, polynomials, quadratic func-
tions and equations, sequences and series, and inequalities. In addition, a
chapter on mathematical proof enumerates the different types of mathe-
matical proof expected to be known at this level and contains many algebraic
illustrations.
The examples and exercises throughout the book are illustrative of those
now being set in single-subject Advanced level mathematics by the GCE
examining boards.
John E. Hebborn
Charles Plumpton
Advanced level mathematics syllabuse s are once again undergoing changes in
content and approach following the revolution in the early 1960swhich led to
the unfortunate dichotomy between 'modern' and 'traditional' mathematics.
The current trend in syllabuses for Advanced level mathematics now being
developed and published by many GCE Boards is towards an integrated
approach, taking the best of the topics and approaches of modern and
traditional mathematics, in an attempt to create a realistic examination target
through syllabuses which are maximal for examining and minimal for
teaching. In addition, resulting from a number of initiatives, core syllabuses
are being developed for Advanced level mathematics consisting of techniques
of pure mathematics as taught in schools and colleges at this level.
The concept of a core can be used in several ways, one of which is
mentioned above, namely the idea of a core syllabus to which options such as
theoretical mechanics, further pure mathematics and statistics can be added.
The books in this series are core books involving a different use of the core
idea. They are books on a range of topics , each of which is central to the
study of Advanced level mathematics, which together cover the main areas of
any single-subject mathematics syllabus at Advanced level.
Particularly at times when economic conditions make the problems of
acquiring comprehensive textbooks giving complete syllabus coverage acute,
schools and colleges and individual students can collect as many of the core
books as they need to supplement books they already have , so that the most
recent syllabuses of, for example , the London, Cambridge , AEB and JMB
GCE Boards can be covered at minimum expense . Alternatively, of course ,
the whole set of core books gives complete syllabus coverage of single-subject
Advanced level mathematics syllabuses .
The aim of each book is to develop a major topic of the single-subject
syllabuses , giving essential book work, worked examples and numerous
exercises arising from the authors' vast experience of examining at this level.
Thus, the core books, as well as being suitable for use in either of the above
ways, are ideal for supplementing comprehensive textbooks by providing
more examples and exercises, so necessary for the preparation and revision
for examinations.
The ability to carry out basic algebraic manipulations accurately and
quickly is essential for Advanced level mathematics and is the key to success
in many other aspects of mathematics. In this particular book we cover the
algebraic techniques essential for the core syllabus of pure mathematics now
being included byGCE Examining Boards in Advanced level syllabuses . The
many worked examples illustrating the various techniques employed form an
essential part of this book and are intended to ensure that the conscientious
student acquires a mastery of manipulative processes involving functions
(algebraic and transcendental), indices, surds, polynomials, quadratic func-
tions and equations, sequences and series, and inequalities. In addition, a
chapter on mathematical proof enumerates the different types of mathe-
matical proof expected to be known at this level and contains many algebraic
illustrations.
The examples and exercises throughout the book are illustrative of those
now being set in single-subject Advanced level mathematics by the GCE
examining boards.
John E. Hebborn
Charles Plumpton