The Directional Calculus: Based Upon the Methods of Hermann Grassmann

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Ginn, 1890 - 247 páginas
 

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Página 256 - Its peculiarities are the rigorous use of the Doctrine of Limits, as a foundation of the subject, and as preliminary to the adoption of the more direct and practically convenient infinitesimal notation and nomenclature ; the early introduction of a few simple formulas and methods for integrating; a rather elaborate treatment of the use of infinitesimals in pure geometry: and the attempt to excite and keep up the interest of the student by bringing in throughout the whole book, and not merely at the...
Página 256 - ... has been inserted on Line, Surface, and Space Integrals. The Key has been enlarged and improved, and the Table of Integrals, formerly published separately, has been much enlarged, and is now bound with the Calculus. John E. Clark, Prof, of Mathematics, Sheffield Scientific School of Yale University : The additions to the present edition seem to me most judicious and to greatly enhance its value for the purposes of university instruction, for which in several important respects it seems to me...
Página 256 - Mailing price, $2.15; for introduction, $2.00. 'pIIIS work contains, in addition to the subjects usually treated in a text-book on the Integral Calculus, an introduction to Elliptic Integrals and Elliptic Functions ; the Elements of the Theory of Functions ; a Key to the Solution of Differential Equations ; and a Table of Integrals. John E. Clark, Prof, of Mathematics...
Página 75 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 255 - Mailing price, 55 cents ; for introduction, 50 cents. rFHE design of the author has been to give to students a more complete and accurate knowledge of the nature and use of Logarithms than they can acquire from the cursory study commonly bestowed on this subject.
Página 195 - The locus of a point, the sum of the squares of whose distances from n fixed points is constant, is a circle.
Página 49 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 144. Theorem. The bisector of an exterior angle of a triangle divides the opposite side produced into segments proportional to the other two sides.
Página 132 - To prove that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola.
Página 195 - Find the locus of a point the sum of the squares of whose distances from two given points is constant.

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