A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 σελίδες |
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... particular Differential Equation . Vol . 32 , 1848 , pages 413 ... 418 . Remarks on a Paper by the Rev. Brice Bronwin , On the Solu- tion of a Particular Differential Equation . Vol . 33 , 1848 , page 211 . Notes on Quaternions . Same ...
... particular Differential Equation . Vol . 32 , 1848 , pages 413 ... 418 . Remarks on a Paper by the Rev. Brice Bronwin , On the Solu- tion of a Particular Differential Equation . Vol . 33 , 1848 , page 211 . Notes on Quaternions . Same ...
Σελίδα 2
... particular value κ , the function น reduces to a constant v . Then we have U - v k - K = C - v k - K Now the second member being a function of an arbitrary constant is equivalent to an arbitrary constant and may be replaced by C. The ...
... particular value κ , the function น reduces to a constant v . Then we have U - v k - K = C - v k - K Now the second member being a function of an arbitrary constant is equivalent to an arbitrary constant and may be replaced by C. The ...
Σελίδα 5
... particular values of x and y , so that we have from the above equation Y1 = $ ( X ̧ , Y. , X. ) , Уо which establishes a relation between x , and y , and shews that there exists virtually but one arbitrary constant . 5. It is proved in ...
... particular values of x and y , so that we have from the above equation Y1 = $ ( X ̧ , Y. , X. ) , Уо which establishes a relation between x , and y , and shews that there exists virtually but one arbitrary constant . 5. It is proved in ...
Σελίδα 6
... particular dA dA + f1 ( xo , Yo ) = 0 . dx dy . Eliminate between these equations f ( x , y ) , and we have - dA , dA = 0 . dA , dA dx dy dy dx Therefore , by Prop . I. , A , is a function of A ,, so that the solution reduced to the ...
... particular dA dA + f1 ( xo , Yo ) = 0 . dx dy . Eliminate between these equations f ( x , y ) , and we have - dA , dA = 0 . dA , dA dx dy dy dx Therefore , by Prop . I. , A , is a function of A ,, so that the solution reduced to the ...
Σελίδα 7
... particular value to C this will geometrically represent a curve consisting of two branches , and giving to C every possible value we obtain an infinite system of such curves , each consisting of two branches . The aggregate of branches ...
... particular value to C this will geometrically represent a curve consisting of two branches , and giving to C every possible value we obtain an infinite system of such curves , each consisting of two branches . The aggregate of branches ...
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Algebra arbitrary constants Calculus of Variations Cambridge Chap Chapter Christ's College cloth College complete primitive condition Conic Sections contains Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dF dp dp dx dp dq dp dy dq dp du₂ dx dx dx dy dx₁ dx² dy dp dy dx dy dy dy dz dz dy dz dz eliminate English equa expression Extra fcap factor fcap function Geometry given equation Grammar Hence homogeneous function Last Multiplier Latin linear partial differential m₁ Mathematical method ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole proposition reduced relation represent result Schools Second Edition singular solution theorem theory tion transformation Trigonometry u₁ values vanish x₁ Y₁ аф
Δημοφιλή αποσπάσματα
Σελίδα 26 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Σελίδα 15 - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo.
Σελίδα 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 6 - PEILE (JOHN, MA)— AN INTRODUCTION TO GREEK AND LATIN ETYMOLOGY. By JOHN PEILE, MA, Fellow and Tutor of Christ's College, Cambridge, formerly Teacher of Sanskrit in the University of Cambridge. Third and Revised Edition. Crown 8vo.
Σελίδα 46 - Pure gold throughout." — GUARDIAN. " Unquestionably the clearest and most complete elementary treatise on this subject that we possess in any language.
Σελίδα 29 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Σελίδα 25 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.
Σελίδα 22 - DodgSOn.— AN ELEMENTARY TREATISE ON DETERMINANTS, with their Application to Simultaneous Linear Equations and Algebraical Geometry. By CHARLES L. DODGSON, MA, Student and Mathematical Lecturer of Christ Church, Oxford.
Σελίδα 48 - PRACTICAL CHEMISTRY. THE OWENS COLLEGE JUNIOR COURSE OF PRACTICAL CHEMISTRY. By FRANCIS JONES, Chemical Master in the Grammar School, Manchester. With Preface by Professor ROSCOE, and Illustrations. New Edition.
Σελίδα 28 - KITCHENER— A GEOMETRICAL NOTE-BOOK, containing Easy Problems in Geometrical Drawing preparatory to the Study of Geometry. For the use of Schools.