Book:Alfred Wrigley/Examples and Problems in Pure and Applied Mathematics

Subject Matter

 * Mathematical exercises

This book is often referred to as Wrigley's Examples.

Contents

 * ADVERTISEMENT.

A Deficiency in Examples illustrative of the different branches of Mathematical Science has long been felt both by Pupils and Tutors. Elementary Works usually contain collections of Examples; but these are generally too limited in number and variety.

The whole course of Mathematics read by Undergraduates in Cambridge will define the scope of the proposed Book. Every subject will be separately illustrated by a copious collection of appropriate Examples. One volume it is hoped will comprise the whole. The present part contains Examples in Arithmetic, Algebra, Logarithms, Geometry, Plane Trigonometry, Mensuration, Conic Sections (or Analytical Geometry of two Dimensions), and such Problems in Mechanics as do not depend for their solution on the differential and Integral Calculus.

Every problem-question has its answer annexed. In order to ensure accuracy in this particular, every problem solved by one of the Authors has been carefully revised by his colleague. And with the same care has every Theorem in the Work been demonstrated.

With each of the more difficult questions a hint will be given, by the aid of which it is presumed the Student may complete the solution. This will be found especially of service to such Students as are without Tutors.

Those subjects which chiefly occupy the time of Mathematical Students in the Naval and Military Colleges have received especial attention from the Authors. The greatest care has been used in stating the questions so as to render them easily understood. Those problems which in their enunciation and solution bespeak a refined analytical generalisation, have been simplified to render them more generally useful, or have been altogether excluded. The chief object has been to supply the greatest number of useful questions solvable by the greatest number of attentive Students.


 * May 17th, 1845


 * ARITHMETIC.


 * Vulgar Fractions
 * Decimal Fractions
 * Extraction of Roots
 * Duodecimals
 * Direct Simple Proportion
 * Inverse Simple Proportion
 * Compound Proportion
 * Practice
 * Simple Interest
 * Compound Interest
 * Discount
 * Purchase of Stocks
 * Single Fellowship
 * Double Fellowship


 * ALGEBRA.


 * Elementary
 * Division
 * Greatest Common Measure
 * Least Common Multiple
 * Fractions
 * Surds
 * Equations
 * Problems in Simple Equations
 * Problems in Quadratic Equations
 * Ratio, Proportion, and Variation
 * Arithmetical Progression
 * Geometrical Progression
 * Harmonical Progression
 * Piling of Balls and Shells
 * Permutations and Combinations
 * Binomial and Multinomial Theorems
 * Indeterminate Coefficients
 * Scales of Notation
 * Properties of Numbers
 * Logarithms


 * GEOMETRICAL DEDUCTIONS


 * MENSURATION.
 * Areas of Plane Figures
 * Surfaces and Contents of Solids
 * Measurement of Shot, &c


 * TRIGONOMETRY.


 * Trigonometrical Formulae
 * Properties of Plane Figures
 * Solution of Triangles
 * Heights and Distances
 * Expansions, Series, &c.
 * Solution of Equations
 * Subsidiary Angles


 * ANALYTICAL GEOMETRY AND CONIC SECTIONS.


 * Application of Algebra
 * Straight Line
 * Parabola
 * Ellipse
 * Hyperbola
 * Section of the Cone, &c


 * STATICS.


 * Forces on one Point and in the same Plane
 * Forces in one Plane, not through the same Point
 * Forces not in the same Plane
 * The Centre of Gravity
 * Machines
 * Friction


 * DYNAMICS.
 * Impact of Bodies
 * Uniformly accelerated Motion and Gravity
 * Motion upon a Curve, and the Simple Pendulum
 * Projectiles


 * ERRATA.