Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.
Key to any mathematical work, and it is perhaps yet undecided whether aK ey is a help or a hindrance. If aK ey is designed to supersede the necessity of investigation and labor on the part of the teacher; to present to his mind every combination of thought which ought to be suggested by a problem, and to permit him to float sluggishly along the current of ideas developed by the author, it would certainly do great harm, and should be excluded from every school. I f, on the contrary, aK ey is so constructed as to suggest ideas, both in regard to particular questions and general science, which the Text-book might not impart; if it develops methods of solution too particular or too elaborate to find a place in the text; if it is mainly designed to lessen the mechanical labor of teachingy rather than the labor of study and investigation; it may, in the hands of a good teacher, prove a valuable auxiliary.
(Typographical errors above are due to OCR software and don't occur in the book.)
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