دانلود کتاب A Synopsis of Elementary Results in Pure and Applied Mathematics: Volume 1: Containing Propositions, Formulae, and Methods of Analysis, with Abridged ... (Cambridge Library Collection - Mathematics)

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Front Cover
PART
Circle of similitude
-MATHEMATICAL TABLES
ELIMINATION-
FACTORS
100
MULTIPLICATION AND DIVISION
ANHARMONIC RATIO AND PENCIL
LOWEST COMMON MULTIPLE
ARITHMETICAL PROGRESSION
SIMULTANEOUS EQUATIONS AND EXAMPLES
CONTINUED FRACTIONS AND CONVERGENTS
TO REDUCE A QUADRATIC SURD TO A CONTINUED FRACTION
IMAGINARY EXPRESSIONS
EXPANSION OF A FRACTION
POLYGONAL NUMBERS
INEQUALITIES
Common and Hyperbolic Logarithms
FACTORS OF AN EQUATION
LIMITS OF THE ROOTS
-THEORY OF EQUATIONS
COMMENSURABle Roots
SYMMETRICAL FUNCTIONS OF THE ROOTS OF AN EQUATION-
Definitions
JOINT PROPERTIES OF THE ELLIPSE AND HYPERBOLA—
Symmetrical Determinants
CS: CA CX
Orthogonal Transformation
-PLANE TRIGONOMETRY
Squares of distances of P from equidistant points on
RATIOS OF 45°, 60°, 15°, 18°,
multiples
ADDITIONAL FORMULE
Explanation of the Table
RIGHT-ANGLED TRIANGLES-
POLYHEDRONS
RADICAL AXIS-
Of two Circles
POLE AND POLAR
Page
1151
1174
ASYMPTOTIC PROPERTIES OF THE HYPERBOLA—
DIAMETERS
CIRCLE OF CURVATURE
THE GENERAL EQUATION
—DIFFERENTIAL CALCULUS
PARTIAL DIFFERENTIATION
IMPLICIT FUNCTIONS-
Abel\'s series
JACOBIANS
Expansion of cos no, &c in powers of sin and cos 0
One independent variable
FUNCTIONS OF TWO INDEPENDENT VARIABLES
CHANGE OF THE INDEPENDENT VARIABLE
MAXIMA AND MINIMA-
—INTEGRAL CALCULUS
STANDARD INTEGRALS
Taylor\'s and Maclaurin\'s theorems
SUCCESSIVE INTEGRATION
DEFINITE INTEGRALS-
APPROXIMATE INTEGRATION BY BERNOULLI\'S SERIES
INTEGRATION OF LOGARITHMIC AND EXPONENTIAL FORMS
INTEGRATION OF CIRCULAR FORMS
INTEGRATION OF CIRCULAR LOGARITHMIC AND EXPONENTIAL FORMS
MISCELLANEOUS THEOREMS-
Fourier\'s formula
Summation of series by the function
MULTIPLE INTEGRALS-
Method by Maclaurin\'s theorem
EXPANSION OF FUNCTIONS IN TRIGONOMETRICAL SERIES
FUNCTIONS OF ONE INDEPENDENT VARIABLE
FUNCTIONS OF TWO DEPENDENT VARIABLES
—CALCULUS OF VARIATIONS
APPENDIX-
SINGULAR SOLUTIONS
Riccati\'s Equation
HIGHER ORDER LINEAR EQUATIONS
EXACT DIFFERENTIAL EQUATIONS
EQUATIONS WITH MORE THAN TWO VARIABLES
PARTIAL DIFFERENTIAL EQUATIONS
SECOND ORDER P D EQUATIONS
LAW OF RECIPROCITY
SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS BY SERIES
FORMULE FOR FIRST AND nth DIFFERENCES
MECHANICAL QUADRATURE
THE CIRCLE
LENGTHS AND AREAS
Co-axal circles
THE ELLIPSE AND HYPERBOLA
THE HYPERBOLA REFERRED TO ITS ASYMPTOTES
ANALYTICAL CONICS IN TRILINEAR COORDINATES
NINE-POINT CIRCLE
ANHARMONIC RATIO
PARTICULAR CONICS
CONIC AND SELF-CONJUGATE TRIANGLE
CARNOT\'S, PASCAL\'S, AND BRIANCHON\'S THEOREMS
THE METHOD OF RECIPROCAL POLARS
ON THE INTERSECTION OF TWO CONICS-
INVARIANTS AND COVARIANTS
TANGENT AND NORMAL
SINGULARITIES OF CURVES---
INVERSE CURves
Instantaneous centre
LINKAGES AND LINKWORK
A linkage for drawing an Ellipse
-SOLID COORDINATE GEOMETRY
TRANSFORMATION OF COORDINATES
CENTRAL QUADRIC SURFACE-
THE GENERAL EQUATION OF A QUADRIC
RECIPROCAL POLARS
GENERAL THEORY OF SURFACES-
GEODESICS
Momental ellipsoids
PERIMETERS, AREAS, VOLUMES, CENTRES OF MASS, AND MOMENTS
ELLIPSOID, HYPERBOLOID, AND PARABOLOID
Arbogast\'s method of expanding ø
COLLINEAR AND CONCURRENT SYSTEMS
5626
3150
3380
5590
4001-28