A Treatise on Differential Equations |
From inside the book
Results 1-5 of 42
Page vi
... symbolical methods . I think it necessary to direct attention to instances like these , because the indications which they afford appear to me to have been , in some works of great ability , overlooked , and because I wish to explain my ...
... symbolical methods . I think it necessary to direct attention to instances like these , because the indications which they afford appear to me to have been , in some works of great ability , overlooked , and because I wish to explain my ...
Page vii
... symbolical methods , as applied to differential equations , lead . Generally speaking , these methods present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to ...
... symbolical methods , as applied to differential equations , lead . Generally speaking , these methods present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to ...
Page viii
... symbolical methods only in the latter chapters of the work , I trust that the exposition of them which is there given will repay the attention of the student . I have endea- voured to supply what appeared to me to be serious defects in ...
... symbolical methods only in the latter chapters of the work , I trust that the exposition of them which is there given will repay the attention of the student . I have endea- voured to supply what appeared to me to be serious defects in ...
Page xiv
... 366. General rule , 369. Miscellaneous theorems . Poisson's method , 375 . Duality , 376. Legendre's Transformation , 379. Exercises , 380 . 292 319 361 CHAPTER XVI . SYMBOLICAL METHODS Laws of direct expressions , xiv CONTENTS .
... 366. General rule , 369. Miscellaneous theorems . Poisson's method , 375 . Duality , 376. Legendre's Transformation , 379. Exercises , 380 . 292 319 361 CHAPTER XVI . SYMBOLICAL METHODS Laws of direct expressions , xiv CONTENTS .
Page xv
... SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 . Reduction of binomial equations , 418 . Pfaff's equation , 430. Equations not binomial , 432 ...
... SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 . Reduction of binomial equations , 418 . Pfaff's equation , 430. Equations not binomial , 432 ...
Other editions - View all
Common terms and phrases
2ndly algebraic arbitrary constant arbitrary function assume C₁ C₂ Cambridge Chap Chapter cloth complete primitive condition Crown 8vo curve deduce determined differential coefficients dp dq dp dy dt dt dv dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dz Edition EDUCATIONAL BOOKS elementary eliminating equa exact differential example expressed fcap finite given equation gives Hence homogeneous functions independent variable integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations partial differential equation particular integral primitive equation problem reduced relation represent respect result satisfied second member second order shew singular solution substituting suppose theorem tion transformation TREATISE whence X₁ Y₁ аф
Popular passages
Page 19 - ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. $s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 7 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Page 7 - MARSHALL — A TABLE OF IRREGULAR GREEK VERBS, classified according to the arrangement of Curtius
Page 20 - 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.
Page 66 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 4 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Page 25 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
Page 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.
Page 28 - KITCHENER— A GEOMETRICAL NOTE-BOOK, containing Easy Problems in Geometrical Drawing preparatory to the Study of Geometry. For the use of Schools.
Page 49 - The object of the author in this book is to present the philosophy of Chemistry in such a form that it can be made with profit the subject of College recitations, and furnish the teacher with the means of testing the student's faithfulness and ability.