Artículos relacionados a Analytic Geometry of Space (Classic Reprint)
Sinopsis
In this book, which is planned for an introductory course, the first eight chapters include the subjects usually treated in rectangular coordinates. They presuppose as much knowledge of algebra, geometry, and trigonometry as is contained in the major requirement of the College Entrance Examination Board, and as much plane analytic geometry as is contained in the better elementary textbooks. In this portion, proofs of theorems from more advanced subjects in algebra are supplied as needed. A mong the features of this part are the development of linear systems of planes, plane coordinates, the concept of infinity, the treatment of imaginaries, and the distinction between centers and vertices of quadric surfaces. The study of this portion can be regarded as a first course, not demanding more than thirty or forty lessons. In Chapter IX tetrahedral coordinates are introduced by means of linear transformations, under which various invariant properties are established. These coordinates are used throughout the next three chapters. The notation is so chosen that no ambiguity can arise between tetrahedral and rectangular systems. The selection of subject matter is such as to be of greatest service for further study of algebraic geometry. In Chapter XIII a more advanced knowledge of plane analytic geometry is presupposed, but the part involving Pliicker snumbers may be omitted without disturbing the continuity of the subject. In the last chapter extensive use is made of the calculus, including the use of partial differentiation and of the element of arc. The second part will require about fifty lessons.
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the l
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
Excerpt from Analytic Geometry of Space
In Chapter IX tetrahedral coordinates are introduced by means of linear transformations, under which various invariant proper ties are established. These co'ordinates are used throughout the next three chapters. The notation is so chosen that no ambigu ity can arise between tetrahedral and rectangular systems. The selection of subject matter is such as to be of greatest service for further study of algebraic geometry.
In Chapter XIII a more advanced knowledge of plane analytic geometry is presupposed, but the part involving Plucker's num bers may be omitted without disturbing the continuity of the subject. In the last chapter extensive use is made of the cal culns, including the use of partial differentiation and of the element of arc.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
In this book, which is planned for an introductory course, the first eight chapters include the subjects usually treated in rectangular coordinates. They presuppose as much knowledge of algebra, geometry, and trigonometry as is contained in the major requirement of the College Entrance Examination Board, and as much plane analytic geometry as is contained in the better elementary textbooks. In this portion, proofs of theorems from more advanced subjects in algebra are supplied as needed. A mong the features of this part are the development of linear systems of planes, plane coordinates, the concept of infinity, the treatment of imaginaries, and the distinction between centers and vertices of quadric surfaces. The study of this portion can be regarded as a first course, not demanding more than thirty or forty lessons. In Chapter IX tetrahedral coordinates are introduced by means of linear transformations, under which various invariant properties are established. These coordinates are used throughout the next three chapters. The notation is so chosen that no ambiguity can arise between tetrahedral and rectangular systems. The selection of subject matter is such as to be of greatest service for further study of algebraic geometry. In Chapter XIII a more advanced knowledge of plane analytic geometry is presupposed, but the part involving Pliicker snumbers may be omitted without disturbing the continuity of the subject. In the last chapter extensive use is made of the calculus, including the use of partial differentiation and of the element of arc. The second part will require about fifty lessons.
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the l
"Sobre este título" puede pertenecer a otra edición de este libro.
Comprar nuevo
Ver este artículo
EUR 19,12
GRATIS gastos de envío desde Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para Analytic Geometry of Space (Classic Reprint)
Imagen del vendedor
Analytic Geometry of Space (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book offers a comprehensive exploration of the geometry of three-dimensional space, a field that has fascinated mathematicians for centuries. Building upon the foundations of plane analytic geometry, the author guides readers through a detailed examination of planes, lines, and quadric surfaces. The book employs various coordinate systems ââ â including rectangular, polar, cylindrical, and spherical ââ â to provide a multifaceted understanding of spatial relationships. The text delves into the complex relationship between equations and geometric figures, offering readers a powerful tool for visualizing and analyzing three-dimensional objects. Through the exploration of diverse forms of quadric surfaces, including ellipsoids, hyperboloids, paraboloids, and cones, the author reveals the underlying patterns and principles that govern spatial geometry. The bookââ â¢s exploration of linear transformations and invariant properties offers a deeper understanding of the fundamental nature of geometric objects. The use of tetrahedral coordinates, introduced through linear transformations, provides a unique and elegant framework for studying quadric surfaces and their properties. Ultimately, this book serves as a valuable resource for those seeking to unravel the complexities of spatial geometry. 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. Nº de ref. del artículo: 9781440091773_0
Gastos de envío:
GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Analytic Geometry of Space Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440091773
Cantidad disponible: 15 disponibles
Imagen de archivo
Analytic Geometry of Space Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440091773
Gastos de envío:
EUR 5,78
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 15 disponibles
Imagen de archivo
Analytic Geometry of Space (Classic Reprint)
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 306 pages. 9.00x6.00x0.69 inches. This item is printed on demand. Nº de ref. del artículo: zk1440091773
Gastos de envío:
EUR 28,79
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles