Elementary Algebra For School

by Henry Sinclair Hall

Table Of Contents I. Definitions. Substitutions II. Negative Quantities, Addition of Like Terms III. Simple Brackets. Addition IV. Subtraction, Miscellaneous Examples I V. Multiplication VI. Division VII. Removal and Insertion of Brackets VIII. Simple Eqations IX. Symbolical Expression X. Problems Leading to Simple Equations XI. Highest Common Factor, Lowest Common Multiple of Simple Expressions XII. Elementary Fractions Miscellaneous Examples II XIII. Simultaneous Equations XIV Problems Leading to Simultaneous Equations XV. Involution XVI. Evolution XVII. Resolution into Factors Miscellaneous Examples III VIII. Highest Common Factor XIX. Fraction XX. Lowest Common Multiple XXI. Addition and Subtraction of Fractions XXII. Miscellaneous Fractions Miscellaneous Examples VI XXIII. Harder Equations XXIV. Harder Problems XXV. Quadratic Equations XXVI. Simultaneous Quadratic Equations XXVII. Problems Leading to Quadratic Equations XXVIII. Harder Factors XXIX. Miscellaneous Theorems and Examples XXX. The Theory of Indices XXXI. Elementary Surds XXXII. Ratio, Proportion, and Variation XXIII. Arithmetical Progression XXXIV. Geometrical Progression XXXV. Harmonical Progression Miscellaneous Examples V XXXVI. Theory of Quadratic Equations XXXVII. Permutations and Combinations XXXVIII. Binomial Theorem XXXIX. Logarithms XL. Scales of Notation XLI. Exponential and Logarithmic Series XLII. Miscellaneous Equations XLIII. Interest and Annuities XLIV. Graphical Representation of Functions Miscelaneous Examples VI

Genres: Mathematics

Paperback

First published January 1, 1885

About the author

1848-1934

Reviews

[^ · Rating 4 out of 5]

Maths really is all about practice, practice, and more practice. Unlike modern UK mathematical secondary school text books, Hall & Knight give that really deep intensive practice which is the precursor to that light bulb of mathematical literacy lighting up. Just because we benefit from incredible electronic computing power today, it doesn’t follow that we shouldn’t learn about logarithms (and slide-rules). Algebra is fun – that is once the brain is trained to it! It’s also a very good mental exercise habit throughout life; the saying “Use It Or Lose It” doesn’t apply solely to completing crosswords! This book really is ideal for both getting into and easing back into good algebraic habits.

[Peter · Rating 5 out of 5]

Terrific book, but the coverage of some topics is unsatisfactory and feels more like excerpts from this book’s sequel, Higher Algebra, rather than fully developed chapters in their own right. Probably not H.S. Hall’s fault, though, as I was reading one of the later editions, with a coauthor claiming improvements and additions. It was still way better than modern textbooks.