A Treatise on Infinitesimal Calculus ... |
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Page viii
... volume which has already exceeded the usual limits of similar works . The latest treatises in which these important transcendants are discussed are mentioned in page 204 ; and the student will in them find much of the information he is ...
... volume which has already exceeded the usual limits of similar works . The latest treatises in which these important transcendants are discussed are mentioned in page 204 ; and the student will in them find much of the information he is ...
Page xii
... and is close on the present boundaries of our knowledge ; I can do little else than exhibit such detached por- tions of it as have yielded to the powers of Analysis . I am , as in the first Volume , under xii PREFACE .
... and is close on the present boundaries of our knowledge ; I can do little else than exhibit such detached por- tions of it as have yielded to the powers of Analysis . I am , as in the first Volume , under xii PREFACE .
Page xiii
... Volume , and their numerals are placed in the inner corners on the top of the pages . Brack- eted numerals are also attached to the more impor- tant equations and are separate for each Chapter ; and reference is for the most part made ...
... Volume , and their numerals are placed in the inner corners on the top of the pages . Brack- eted numerals are also attached to the more impor- tant equations and are separate for each Chapter ; and reference is for the most part made ...
Page xxv
... volume - element , when axis of y is that of revolution .. 346 .. 347 349 254. Investigation of the volume - element of a solid of revolution , when the generating area is referred to polar coor- dinates 350 352 255. A similar process ...
... volume - element , when axis of y is that of revolution .. 346 .. 347 349 254. Investigation of the volume - element of a solid of revolution , when the generating area is referred to polar coor- dinates 350 352 255. A similar process ...
Page xxvii
... volume - element 300. The variation of a product of differentials .. .. 411 412 .. 412 .. 414 415 .. 417 419 420 422 424 426 ing such variations of fr off'r 301. The variation of definite integrals , and modes of simplify- 302 ...
... volume - element 300. The variation of a product of differentials .. .. 411 412 .. 412 .. 414 415 .. 417 419 420 422 424 426 ing such variations of fr off'r 301. The variation of definite integrals , and modes of simplify- 302 ...
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Other editions - View all
A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2015 |
Common terms and phrases
a₁ a₂ angle application axis Beta-function bx dx consequently convergent series coordinates cosec cx² cycloid definite integral denoted determined differential double integral dx a² dx dx dx dy dx Ex dx² dy dx dy² e-ax element-function ellipse equal evaluation expressed find the area finite and continuous fraction function Gamma-function geometrical given Hence infinite infinitesimal infinitesimal element Integral Calculus intrinsic equation involute left-hand member length let us suppose limits of integration multiple integrals plane curve polar coordinates preceding proper fraction radius range of integration replaced result right-hand member subject-variable substituting surface symbols theorem tion values variable x-integration x₁ x²)¹ x²)³ αξ πα