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Image of - More Calculus of a Single Variable | Hardcover
More Calculus of a Single Variable | Hardcover

More Calculus of a Single Variable | Hardcover

by Mercer

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus • such as the real numbers, differentiation and integration, mean value theorems, the exponential function • are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for Ï. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

Highlights

  • binding-icon

    9781493919253

    ISBN:

  • binding-icon

    Mercer

    Author:

  • binding-icon

    411

    Pages:

  • binding-icon

    726 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2014

    Year:

  • edition-icon

    N/A

    Edition:

  • binding-icon

    Hardcover

    Binding:

₹3637

₹4546

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus • such as the real numbers, differentiation and integration, mean value theorems, the exponential function • are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for Ï. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

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