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A course in calculus and real analysis / Sudhir R. Ghorpade, Balmohan V. Limaye

Tác giả : Sudhir R. Ghorpade, Balmohan V. Limaye

Nhà xuất bản : Springer

Năm xuất bản : 2006

Nơi xuất bản : New York

Mô tả vật lý : x, 432 p. : ill. ; 24 cm

ISBN : 0387305300

Số phân loại : 515

Tùng thư : Undergraduate texts in mathematics

Chủ đề : 1. Calculus -- Textbooks. 2. Toán học. 3. Toán vi phân.

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Tóm tắt :

This book provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization. Throughout the book, the authors highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles.

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