A Course of Mathematics: Composed for the Use of the Royal Military Academy

T. Tegg, 1843 - Mathematics - 895 pages

Contents

 ARITHMETIC 1 Reduction 16 Compound Addition 23 Compound Proportion 37 Addition of Vulgar Fractions 45 Addition of Decimals 49 Rule of Three in Decimals 55 To Extract the Square Root 59
 Definitions 493 115 498 Application to Heights Distances 504 Fundamental Formula 510 185 517 Mensuration of Solids 520 Land Surveying 524 280 538

 Ratios Proportions Progressions 65 Subtraction 87 31 95 Division by Detached Coefficients 108 Least Common Multiple 115 Extraction of Roots 127 Binomial Theorem 172 Ratios and Proportion 185 Budans Criterion 196 Nature of Equations 274 Transformation of Equations 280 Sturms Theorem 297 Inequations 308 Permutations and Combinations 318 Method of Undetermined Coefficients 323 Piling of Balls and Shells 326 Investigation of Binomial Theorem 334 Exponential Equations 340 Interest and Annuities 346 Definitions 357 Theorems 363 88 399 Problems 402 Exercises in Plane Geometry 417 357 427 Spherical Geometry 442 431 450 108 456 Hyperbola 472 Application of Algebra to Geometry 487
 Artificers Works and Timber Mea 548 292 549 Practical Questions in Mensuration 557 Use of Subsidiary Angles 608 ANALYTICAL GEOMETRY 643 Equation to the Circle 655 Equation to the Hyperbola 661 Polar Coordinates 666 Of Three Dimensions 673 DIFFERENTIAL CALCULUS 689 Inverse Functions 706 Maxima and Minima 720 Method of Least Squares 726 Method of Limits 749 Infinitesimal method 759 Integration by Parts 762 Integration of Rational Functions 771 308 777 On Exponential Functions 786 Integration by Series 795 Definitions Fundamental Notions 803 The Lever 810 323 829 Collision of Spherical Bodies 834 The Laws of Gravity 841 Curves referred to Polar Coordinates 755 844 Practical Rules in Projectiles 851 Centres of Percussion Oscillation 861 Diving Bell and Condensing Machine 889