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A treatise on plane and advanced trigonometry 平面与高等三角

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A treatise on plane and advanced trigonometry 平面与高等三角

最 低 价：￥467.80

定 价：￥519.80

作 者：E. W. Hobson　著 著

出 版 社：

出版时间：2004-12-1

I S B N：0486441776

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    内容简介
    This account of the theory of the circular functions and their appli-cations to plane trigonometry will provide invaluable assistance to tudents of mathematics who intend to proceed further in the study of analysis. Other students, too, will benefit from the depth with which the more elementary parts of the subject are treated.
    Starting with the measurement of angular magnitude and of lines,the text proceeds to discussions of circular functions, including those of two or more angles and of submultiple angles; various the-orems; the expansion of functions of multiple angles; and relations between the circular functions and the circular measure of an angle,including a strict proof of the expansions of the sine and cosine of an angle in powers of the circular measure. Succeeding chapters cover trigonometrical tables, relations between the sides and angles of a triangle, the solution of triangles, and properties of triangles and
    quadrilaterals.

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    目录
    CHAPTER I THE MEASUREMENT OF ANGULAR MAGNITUDE
    CHAPTER II THE MEASUREMENT OF LINES PROJECTIONS
    CHAPTER III THE CIRCULAR FUNCTIONS
    CHAPTER IV THE CIRCULAR FUNCTIONS OF TWO OR MORE ANGLES
    CHAPTER V THE CIRCULAR FUNCTIONS OF SUBMULTIPLE ANGLES
    CHAPTER VI VARIOUS THEOREMS
    CHAPTER VII EXPANSION OF FUNCITONS OF MULTIPLE ANGLES
    CHAPTER VIII RELATIONS BETWEEN THE CIRCULAR FUNCTIONS AND THE CIRCULAR MEASURE OF AN ANGLE
    CHAPTER IX TRIGONOMETRICAL TABLES
    CHAPTER X RELATIONS BETWEEN THE SIDES AND ANGLES OF A TRIANGLE
    CHAPTER XI THE SOLUTION OF TRIANGLES
    CHAPTER XII PROPERTIES OF TRIANGLES AND QUADRILATERALS
    CHAPTER XIII COMPLEX NUMBENS
    CHAPTER XIV THE THEORY OF INFINITE SERIES
    CHAPTER XV THE EXPONENTIAL FUNCTION LOGARITHMS
    CHAPTER XVI THE HYPERBOLIC FUNCTIONS
    CHAPTER XVII INFINITE PRODUCTS
    CHAPTER XVIII CONTINUED FRACTIONS

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