A Treatise on the Differential Calculus |
From inside the book
Results 1-5 of 36
Page vi
... examples 37 CHAPTER III . Successive Differentiation . 46 Theory of the independent variable 47 Change of the independent variable 48 Order of partial differentiations indifferent 44 46 50 49 Successive differentiation of an explicit ...
... examples 37 CHAPTER III . Successive Differentiation . 46 Theory of the independent variable 47 Change of the independent variable 48 Order of partial differentiations indifferent 44 46 50 49 Successive differentiation of an explicit ...
Page vii
... Maxima and minima corresponding to indeterminate differential coefficients 120 81 Application of indeterminate multipliers to problems of maxima and minima 122 CHAPTER VII . Development of Functions . 86 Examples of CONTENTS . vii.
... Maxima and minima corresponding to indeterminate differential coefficients 120 81 Application of indeterminate multipliers to problems of maxima and minima 122 CHAPTER VII . Development of Functions . 86 Examples of CONTENTS . vii.
Page viii
... Examples of the application of Stirling's theorem 94 149 92 Extension of Taylor's theorem to functions of two ... Example of the application of Taylor's theorem for two variables 150 96 Stirling's theorem applied to functions of ...
... Examples of the application of Stirling's theorem 94 149 92 Extension of Taylor's theorem to functions of two ... Example of the application of Taylor's theorem for two variables 150 96 Stirling's theorem applied to functions of ...
Page ix
... Examples of asymptotes 173 113 Algebraical method of finding curvilinear and rectilinear asymptotes 175 CHAPTER III . Multiple Points , Conjugate Points , Cusps , & c . 114 Definition of multiple points , conjugate points , and cusps ...
... Examples of asymptotes 173 113 Algebraical method of finding curvilinear and rectilinear asymptotes 175 CHAPTER III . Multiple Points , Conjugate Points , Cusps , & c . 114 Definition of multiple points , conjugate points , and cusps ...
Page xi
... examples Homogeneous curves The cycloid 165 Tangent and normal to the cycloid 166 Arc of the cycloid 167 Radius of curvature of the cycloid . 168 Evolute of the cycloid . 245 257 259 260 261 - 262 Page 65 93 - 112 130 141 144 148 242 ...
... examples Homogeneous curves The cycloid 165 Tangent and normal to the cycloid 166 Arc of the cycloid 167 Radius of curvature of the cycloid . 168 Evolute of the cycloid . 245 257 259 260 261 - 262 Page 65 93 - 112 130 141 144 148 242 ...
Contents
6 | |
15 | |
29 | |
44 | |
57 | |
84 | |
86 | |
92 | |
189 | |
191 | |
192 | |
194 | |
197 | |
203 | |
204 | |
206 | |
99 | |
100 | |
107 | |
120 | |
137 | |
149 | |
155 | |
162 | |
168 | |
170 | |
173 | |
175 | |
178 | |
179 | |
181 | |
182 | |
185 | |
186 | |
187 | |
207 | |
209 | |
210 | |
217 | |
223 | |
230 | |
235 | |
237 | |
238 | |
239 | |
240 | |
241 | |
243 | |
245 | |
257 | |
259 | |
260 | |
261 | |
262 | |
Other editions - View all
Common terms and phrases
algebraical arbitrary functions asymptote axis Cambridge change sign constant cosec curve d'u dy d²r d²u d²x d²z d2z d2z d³u d³x d³y d³z denote df df df dx DIFFERENTIAL CALCULUS differential equations du du dy du² dv₁ dx dx dx dy dx dx dz dx² dx³ dxdy dy dF dy dx dy dy dy dy dz dy₁ dy₂ dy³ dz dx dz dy dz dz eliminate expression f(y₁ find the Differential formula ƒ Y₁ Hence implicit function increment independent variables indeterminate limit maxima and minima maximum or minimum minimum value multiplying negative partial differential coefficients points of inflection positive quantity putting regard shews Suppose tangent Taylor's Theorem total differential Trinity College University of Cambridge whence y+dy Y₁ Y₂ zero бу бх
Popular passages
Page 17 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 14 - Confirmation Day. Being a Book of Instruction for Young Persons how they ought to spend that solemn day, on which they renew the Vows of their Baptism, and are confirmed by the Bishop with prayer and the laying on of hands.
Page 11 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers.
Page 18 - Passages in Prose and Verse from English Authors for Translation into Greek and Latin ; together with selected Passages from Greek and Latin Authors for Translation into English : forming a regular course of Exercises in Classical Composition. By the Rev. H. ALFORD, MA, Vicar of Wymeswold, late Fellow of Trinity College, Cambridge. 8vo. 6».
Page 15 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled...
Page 17 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.
Page 13 - Butler's Three Sermons on Human Nature, and Dissertation on Virtue. Edited by W. WHEWELL, DD With a Preface and a Syllabus of the Work. Third Edition. Fcp. 8vo. 3s. 6<J. Butler's Six Sermons on Moral Subjects. A Sequel to the "Three Sermons on Human Nature.
Page 19 - VARRONIANUS. A Critical and Historical Introduction to the Philological Study of the Latin Language. By the Rev.
Page 12 - Five Sermons preached before the University of Cambridge. The first Four in November, 1851, the Fifth on Thursday, March 8th, 1849, being the Hundred and Fiftieth Anniversary of the Society for Promoting Christian Knowledge. By the late Rev. JJ BLUNT, BD CONTENTS : 1.
Page 4 - A Treatise on the Application of Analysis to SOLID GEOMETRY. Commenced by DF GREGORY, MA, late Fellow and Assistant Tutor of Trinity College, Cambridge; Concluded by W.