Fundamental Mathematical Analysis is popular PDF and ePub book, written by Robert Magnus in 2020-07-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fundamental Mathematical Analysis can be Read Online from any device for your convenience.
Fundamental Mathematical Analysis Book PDF Summary
This textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout. Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental notion of sequence. Infinite series are then introduced, followed by the key concept of continuity. These lay the groundwork for differential and integral calculus, which are carefully covered in the following chapters. Pointers for further study are included throughout the book, and for the more adventurous there is a selection of "nuggets", exciting topics not commonly discussed at this level. Examples of nuggets include Newton's method, the irrationality of π, Bernoulli numbers, and the Gamma function. Based on decades of teaching experience, this book is written with the undergraduate student in mind. A large number of exercises, many with hints, provide the practice necessary for learning, while the included "nuggets" provide opportunities to deepen understanding and broaden horizons.
Detail Book of Fundamental Mathematical Analysis PDF
- Author : Robert Magnus
- Release : 14 July 2020
- Publisher : Springer Nature
- ISBN : 9783030463212
- Genre : Mathematics
- Total Page : 445 pages
- Language : English
- PDF File Size : 20,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Fundamental Mathematical Analysis by Robert Magnus, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.