A Course in Mathematics: For Students in Engineering and Applied Science (Classic Reprint): For Students of Engineering and Applied Science (Classic Reprint) - Softcover

Woods, Frederick S.

Softcover

ISBN 10: 144008419X ISBN 13: 9781440084195

Verlag: Forgotten Books, 2010

Inhaltsangabe

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

Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 144008419X
• ISBN 13: 9781440084195
• Einband: Taschenbuch
• Anzahl der Seiten: 400
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