Comparison Different Line Geometric Representations Functions by Gladys Gibbens (6 results)

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Condition: gut. 16 S., 25 cm, Bibliotheksexemplar, Ecke leicht geknickt. Sprache: Englisch.

Paperback. Condition: New. Print on Demand. This book introduces two methods for constructing a congruence of lines determined by a functional relation between two complex variables, enabling readers to visualize the properties of the function by studying the properties of the resulting congruence. In the first method, two complex variables are represented upon two distinct planes, parallel to each other and a unit apart. If points on the first plane are joined to points on the second plane that correspond to them via a given functional relation, a two-parameter family, or congruence, of straight lines is obtained. The second method uses a Riemann sphere. The two complex variables are projected upon the same sphere, and points of the sphere corresponding to each other via the function are joined by lines. The congruences obtained by either method always have real focal sheets and developables, making them more interesting than those obtained by the first method. The author demonstrates that there are other methods of constructing congruences of lines that impose less drastic restrictions upon the reference planes or spheres. The book then goes on to study the properties of the congruences resulting from these generalizations, including an extension of the method of the Riemann Sphere. By introducing complex variables into the study of lines and geometry, this book sheds new light on a subject of great mathematical interest. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

LeatherBound. Condition: NEW. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Reprinted from 1922 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set and contains approximately 28 pages. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English.

LeatherBound. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Reprinted from 1922 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set and contains approximately 36 pages. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: English.