A Course in Mathematics, Vol. 1: For Students of Engineering and Applied Science (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from A Course in Mathematics, Vol. 1: For Students of Engineering and Applied Science
As compared with the usual first course in analytic geometry, there will be found in this volume fewer of the properties of the conic sections, except as they appear in problems set for the student. On the other hand, a greater variety of curves are given, and it is believed that greater emphasis is placed on the essential principles. All work in three dimensions is postponed to the second year, and is to be taken up in the second volume in connection with functions of two or more variables, partial differentiation, and double and triple integration.
This volume contains the matter usually given in a first course in differential calculus, with the exception of differentials, series, indeterminate forms, partial differentiation, envelopes, and some advanced applications to curves. These subjects will find their appropriate place in the further development of the course in the second volume. Integration has been sparingly used as the inverse operation of differentiation. And without employing the integral Sign. Simple applications to areas and velocities are given. To do more would require the expenditure of too much time on the Operation of integration, and the introduction of too many new ideas into one year's work. The integral, as a limit of a sum, with its many applications, will form an important part of the second year's work.
In the preparation of the text the needs of a student who desires to use mathematics as a tool in engineering and scientific work have been primarily considered, but it is believed that the course is also adapted to the student who studies mathematics for its own sake. Abstract discussions are avoided and frequent applications and illustrations are given. Illustrations, however, which are beyond the range of a first-year student's knowledge of physical science are omitted. The proofs are made as rigorous as the maturity of the student will admit. It is to be remembered in this connection that the earlier chapters are to be studied by students who have just entered college.
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
Excerpt from A Course in Mathematics, Vol. 1: For Students of Engineering and Applied Science
As compared with the usual first course in analytic geometry, there will be found in this volume fewer of the properties of the conic sections, except as they appear in problems set for the student. On the other hand, a greater variety of curves are given, and it is believed that greater emphasis is placed on the essential principles. All work in three dimensions is postponed to the second year, and is to be taken up in the second volume in connection with functions of two or more variables, partial differentiation, and double and triple integration.
This volume contains the matter usually given in a first course in differential calculus, with the exception of differentials, series, indeterminate forms, partial differentiation, envelopes, and some advanced applications to curves. These subjects will find their appropriate place in the further development of the course in the second volume. Integration has been sparingly used as the inverse operation of differentiation. And without employing the integral Sign. Simple applications to areas and velocities are given. To do more would require the expenditure of too much time on the Operation of integration, and the introduction of too many new ideas into one year's work. The integral, as a limit of a sum, with its many applications, will form an important part of the second year's work.
In the preparation of the text the needs of a student who desires to use mathematics as a tool in engineering and scientific work have been primarily considered, but it is believed that the course is also adapted to the student who studies mathematics for its own sake. Abstract discussions are avoided and frequent applications and illustrations are given. Illustrations, however, which are beyond the range of a first-year student's knowledge of physical science are omitted. The proofs are made as rigorous as the maturity of the student will admit. It is to be remembered in this connection that the earlier chapters are to be studied by students who have just entered college.
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
CHAPTER I ELIMINATION 1. Determinant notation. Elimination is the process of obtaining from a certain number of equations containing two or more unknown quantities one or move equations which do not contain all of these quantities. The quantities removed are said to have been eliminated. The solution of equations is essentially the elimination of all but one of the unknown quantities. The process of elimination leads to the formation of certain expressions in the coefficients, for which a special name and a corresponding notation have been invented. In this chapter we shall consider equations of the first degree, or linear equations. These are equations in which no term contains more than one unknown quantity, and that in the first degree. Ex. 1. oix + b,y + d = 0, a^x + b2y + c3 = 0. To eliminate multiply the first equation by b, the second by - b, and add. To eliminate x, multiply the first equation by - o2, the second by cq, and add. There result
Table of Contents
CONTENTS; CHAPTER 1 - ELIMINATION; ARTICLE J; 1,2 Determinant notation; 3 Properties of determinants; 4 Solution of n linear equations containing n unknown quantities,; when the determinant of the coefficients of the unknown; quantities is not zero12; 5 Systems of n linear equations containing more than n unknown; quantities15; 6 Systems of n linear equations containing n unknown quantities,; when the determinant of the coefficients of the unknown quantities is zero17; 7 Systems of linear equations in which the number of the equa-; tions is greater than that of the unknown quantities IS; 8- Linear homogeneous equations21; 9 Kliminants23; Problems25; CHAPTER II - GRAPHICAL REPUESENTATION; 10 Ileal number 28; 11 Zero and infinity- 29; 12 Complex numbers 31; 13 Addition of segments of a straight line 32; 11-15 Projection 34; 1ft Coordinate axes 3D; 17 Distance between two points 30; 18-19 Collinear points 38; 20 Variable and function 40; 21 Classes
"Sobre este título" puede pertenecer a otra edición de este libro.
Otras ediciones populares con el mismo título
Resultados de la búsqueda para A Course in Mathematics, Vol. 1: For Students of Engineering...
Imagen del vendedor
A Course in Mathematics, Vol. 1 (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book presents a comprehensive and unified approach to mathematics, integrating algebra, analytic geometry, calculus, and differential equations into a cohesive learning experience. Designed for engineering students or those seeking a deeper understanding of mathematics, the author breaks away from traditional divisions between subjects, introducing principles as needed and developing them concurrently. This approach fosters a more holistic understanding of mathematical concepts and their interconnectedness. The book delves into topics such as graphical representation, polynomials, algebraic functions, conic sections, and transcendental functions, equipping students with the tools to tackle diverse mathematical problems. Numerous applications and illustrations reinforce theoretical concepts, while abstract discussions are minimized. With a focus on practicality and rigor, the book guides students towards a mastery of mathematical principles essential for engineering and scientific pursuits. The author's insights into the interdependence of mathematical disciplines empower students to select the most effective methods for solving problems, demonstrating the elegance and power of a unified mathematical perspective. 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: 9781440084195_0
Comprar nuevo
EUR 20,72
Gastos de envío gratis
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
A Course in Mathematics For Students in Engineering and Applied Science 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-9781440084195
Comprar nuevo
EUR 30,68
Gastos de envío gratis
Se envía dentro de Estados Unidos de America
Se envía dentro de Estados Unidos de America
Cantidad disponible: 15 disponibles
Imagen de archivo
A Course in Mathematics For Students in Engineering and Applied Science 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-9781440084195
Comprar nuevo
EUR 29,61
Envío por EUR 5,82
Se envía de Reino Unido a Estados Unidos de America
Se envía de Reino Unido a Estados Unidos de America
Cantidad disponible: 15 disponibles