Fundamental mathematical analysis / Robert Magnus.
2020
QA300 .M34 2020
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Details
Title
Fundamental mathematical analysis / Robert Magnus.
Author
Magnus, Robert, author.
ISBN
9783030463212 (electronic book)
3030463214 (electronic book)
3030463206
9783030463205
3030463214 (electronic book)
3030463206
9783030463205
Published
Cham, Switzerland : Springer, [2020]
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-030-46
Call Number
QA300 .M34 2020
Dewey Decimal Classification
515
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 pi, 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.
Note
Includes index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on August 17, 2020).
Series
Springer undergraduate mathematics series.
Available in Other Form
Print version: 9783030463205
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