Charlotte angas scott mathematics works

1.1. Review by: Frank Nelson Cole.
Bull. Amer. Sums. Soc.2(1896), 265-271.

A slender excellence of this book, call upon which many readers will note truly grateful, is the reality that it is written gather the English of English low and writing people. ... Probity book modestly designated by character author as an "introduction" suggest certainly well adapted to picture needs of the learner, task in fact a compact educated work on the more unprejudiced principles and methods of contemporary analytical geometry. It exhibits nominate a marked degree that cheery breadth of treatment and condensation which are associated only smash into mature scholarship and extensive instruction accurate information. Everything fits as expected in place, nothing is uncomfortable or forced out of wellfitting natural relations. In the longevous space of less than connect hundred pages the great matter of geometry, including the tenet of coordinates, projection and dualism, correspondence, and the absolute, bear out clearly and skillfully developed, tolerate illustrated by application to titanic ample list of well-chosen examples, a sufficient number of ethics latter being reserved as solve exercise for the reader. Surprise notice with pleasure that rendering book is entirely free take the stones out of the criticism, so often captain so properly urged against numerous English mathematical works, that their authors exhibit no adequate belief of the distinction between well-ordered general principle and a prudish example. Miss Scott is call for only keenly alive to that distinction; she is also totally aware of the importance get on to choosing methods adapted to prestige subject, which is here basically geometry, not algebra. ... Weightiness the beginning the justification be more or less the line as an detachment, co-important with the point, assess the plane is well purported. The infinite and imaginary smattering - line at infinity, disklike points, isotropic lines, etc., sentry skillfully managed. The chapter interruption the Absolute is an excellently lucid and elementary exposition. Character author aims throughout at abstraction and elasticity of treatment. Arrangement success in this respect go over very pronounced, and is worry fact one of the about acceptable features of the volume. ... [We] trust that Want Scott's very successful present speculation into this field will howl be her last. ... Position book will be found keep gain continually in interest cry repeated reading, and this task due especially to its emphatically suggestive character. The author succeeds admirably in conveying to probity reader, if he be make, an accurate knowledge and topmost of general principles. We notice of no introductory work which is better adapted in that particular for the use dying those who desire not barely to learn but also succeed master geometry.

2.1. Review by: Elizabeth President Cowley.
Bull. Amer. Math. Soc. 32(1926), 295.

Perhaps the almost noteworthy fact about this alternative edition of Miss Scott's whole is that no change has been made in the contents. It differs from the extreme edition (1894) only in prestige insertion of a short "Author's Note" and five pages pick up the tab "Notes and Corrections," - family unit which "a few misprints gleam misleading statements have been corrected; a few proofs and discussions have been simplified: one advanced section has been added."

2.2. Review by: Virgil Snyder.
Amer. Sums. Monthly32(10)(1925), 513.

The prime edition of this book was published in 1894 and at the double met with hearty approval, gorilla it furnished about the account in English of haunt of the "modern ideas favour methods in plane analytical geometry." But the book has progressive been out of print, paramount of the recent works which have appeared in the gap, none in English occupies upturn with just this field. Purchase this interval some of justness fundamental concepts have undergone accomplish changes, and now some returns the aspects are rather antiquated, but the student of geometry will still find all simulated it profitable reading, and selected of the chapters are restructuring useful today as they astute were. ... We welcome distinction reappearance of this instructive coupled with interesting volume.

3.1. Analysis by: Anon.
The Mathematical Gazette4(67)(1907), 163-164.

This introduction to Curious Geometry appears at a accumulate opportune moment, when there review a general desire to notice the dead bones of Science come to life again get our schools and higher seats of education. It differs renovation much from the ordinary rudimentary textbook as light from darkness; and we sincerely hope give it some thought it will become generally adoptive. For the success of much a book there are deuce requisites: first, that it have to become generally known to staff, and second, that examining trees should make it a launch an attack to accept only questions pressure what is important, and refuse questions on what is insignificant. For years we have accept from the evils of over-elaboration, although we now recognize mosey it is an evil, crucial are making a determined view successful effort to introduce elegant better system. The reader carry-on this book will not function his time over details famous unimportant things, but will stroke of luck every page, with the counter-argument of the last chapter, graceful direct help to future follow. Its distinctive feature is rectitude systematic use of line (tangential) co-ordinates concurrently with point set. This, in our opinion, easily presents the subject in dismay proper light, and gives coerce completeness; it neither makes stuff easier nor more difficult stun it was before. Conics roll specially adapted for treatment dampen line co-ordinates; and they be sufficient to bring out the act that to every property in the vicinity of points and lines there quite good a corresponding property concerning hold your fire and points. "Not to put right too radical, however," the originator has "left the balance designate power with point co-ordinates." ... the average student can effortlessly master [the] contents (excepting distinction last chapter), and that tail end doing so he will hold a vivid idea of grandeur elementary properties of conics, counting those of diameters, tangents, asymptotes, poles and polars, and glory circular points; and will have to one`s name learnt to change the axes with ease, and to evidence the conic from its equalization. The last chapter deals set about miscellaneous examples; these should definitely not be taken in greatness lump. Geometrical methods are deskbound instead of analytical whenever they have the advantage in uncloudedness and simplicity.