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  3. An Analytical Calculus
    Volume 1
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  • Publisher:
    Cambridge University Press
    Publication date:
    07 October 2011
    01 January 1954
    ISBN:
    9780511897238
    9780521090353
    DOI:
    https://doi.org/10.1017/CBO9780511897238
    Dimensions:
    Weight & Pages:
    Dimensions:
    (216 x 140 mm)
    Weight & Pages:
    0.24kg, 180 Pages
    • Subjects:
    Mathematics, Mathematical Modeling and Methods
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    Subjects:
    Mathematics, Mathematical Modeling and Methods
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    Book description

    This is the first volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. This volume is concerned with the basic ideas and applications of differentiation and integration in relation to algebraic and trigonometric functions, but excluding logarithmic and exponential functions. Integration begins on the 'Riemann integral' basis, and the treatment of curves combines accuracy with simplicity, without shirking the awkward problems of sign. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations.

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