| 期刊全稱 | A Course in Calculus and Real Analysis | | 影響因子2023 | Sudhir R. Ghorpade,Balmohan V. Limaye | | 視頻video | http://file.papertrans.cn/141/140450/140450.mp4 | | 發(fā)行地址 | Introduces the principles of real analysis, as a formidable counterpart to calculus.Offers self-contained introduction to the calculus of functions of one variable.The text is sequenced to emphasize t | | 學(xué)科分類 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 影響因子 | .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. Also, this book helps students get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides | | Pindex | Textbook 20061st edition |
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