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A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics)

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Book Details

  • Publisher: Springer

  • Author: Ghorpade, Sudhir R.

  • Language: English

  • Binding: Hardcover

  • Edition: 2006 Edition

  • ISBN: 9780387305301

  • Release Date: 05-06-2006


About The Book

"A Course in Calculus and Real Analysis" by S. R. Ghorpade and B. V. Limaye offers a self-contained and rigorous introduction to the calculus of functions of one variable. The book emphasizes the structural development of calculus and highlights the significance of fundamental results often accepted on faith in earlier education.

The authors focus on ensuring students gain a clear understanding of essential concepts, such as the ratio of circumference to diameter for all circles, the concept of an angle, and the nature of logarithmic, exponential, and trigonometric functions. This book is ideal for students looking for a deep understanding of calculus, covering essential topics that may not be sufficiently addressed in other courses.

Key Features

  • Comprehensive and rigorous treatment of calculus concepts

  • Detailed coverage of topics inadequately covered in calculus and real analysis courses

  • Carefully proven theorems and numerous exercises to enhance understanding

  • Ideal for self-education and serious study in calculus and real analysis

  • Can be used as a textbook for undergraduate and graduate-level courses