Where this fits in school

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United States	8–12	A primary source, not a course — Algebra 1 and Algebra 2 content, with series and the quartic beyond both
United Kingdom	Years 9–13	GCSE Higher → A-level Pure content; no qualification maps to it cleanly
Canada	Ontario 9–12	historical reading beside MTH1W → MPM2D → MCR3U

This book matches no modern course. It is worth reading for the mathematics; it will not put a mark on an exam paper.

Not covered in this book

graphs and the function concept · coordinate geometry · exercises — this volume is exposition only · statistics and data handling · probability

Source these strands elsewhere. They are missing from the book, not from this description.

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What comes next

Fuss's Geometry$44.95

General concept of Algebra
On the addition and subtraction of simple quantities
On the multiplication of simple quantities
On the division of simple quantities
On fractions in general
On the properties of fractions
On the addition and subtraction of fractions
On the multiplication and division of fractions
On decimal fractions
On square numbers
On square roots and the irrational numbers arising from them
On impossible or imaginary numbers
On cubic numbers
On cube roots and on the irrational numbers arising from them
On powers in general
On calculations with powers
On roots of powers in general
On the representation of irrational numbers by fractional exponents
On Logarithms
On logarithmic tables
On the use of logarithms

Division II. On the methods of calculating compound or complex quantities12 sections

On the addition of compound quantities
On the subtraction of compound quantities
On the multiplication of compound quantities
On the division of compound quantities
On the resolution of fractions into infinite series
On the squares of compound quantities
On the extraction of square roots from compound quantities
On cubes and the extraction of cube roots
On the higher powers of compound quantities
On the permutation of letters, on which the proof of the preceding rule is based
On the expansion of irrational powers into infinite series
On the expansion of negative powers

Division III. On algebraic equations and their solution15 sections

On the solution of problems in general
On the solution of equations of the first degree
On the solution of certain questions relating to the preceding chapter
On the solution of equations of the first degree containing two or more unknown quantities
On the solution of indeterminate problems of the first degree
On the solution of pure equations of the second degree
On the solution of complete equations of the second degree
Discussions on the properties of equations of the second degree
On the solution of pure equations of the third degree
On the solution of complete equations of the third degree
On the solution of equations of the third degree having irrational roots
On the solution of incomplete equations of the fourth degree
On the solution of complete equations of the fourth degree
On the solution of equations of the fourth degree by means of equations of the third degree
On the approximate solution of equations

Division IV. On ratios, proportions, and arithmetic and geometric progressions11 sections

On the arithmetical ratio
On arithmetical proportions
On arithmetic progressions
On finding the sum of an arithmetic progression
On geometrical ratio
On the reduction of geometrical ratios to their smallest terms
On compound ratios
On geometric proportions
On geometric progressions
On finding the sum of geometric progressions
Application of geometric proportions and progressions to the computation of compound interest and to other questions of this kind

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Formats and editions

Format	Price	ISBN-13	Where	Buy
Paperback	$54.95	978-1-80910-005-4	Amazon	Buy →
Hardcover	$94.95	978-1-80910-006-1	Amazon	Buy →

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Product details

Publisher: Northern Star Academic Press
Language: English
Translator: Valery Manokhin, PhD
Print length: 217 pages
First published: 2026-09-22

Fuss: Foundations of Pure Mathematics – Part I, Algebra

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Not covered in this book

How this book fits

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Further reading

Table of contents

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More in This Series

Rachinsky's 1001 Problems

Perelman's Entertaining Arithmetic

Markov: Probabilities

Fuss: Foundations of Pure Mathematics – Part I, Algebra

Where this fits in school

Not covered in this book

How this book fits

What comes next

Further reading

Table of contents

Formats and editions

Product details

More in This Series

Rachinsky's 1001 Problems

Perelman's Entertaining Arithmetic

Markov: Probabilities

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