This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the ba
A First Course in Analysis
โ Scribed by Donald Yau
- Publisher
- World Scientific Publishing Company
- Year
- 2013
- Tongue
- English
- Leaves
- 206
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.
Readership: Undergraduates and graduate students in analysis.
๐ SIMILAR VOLUMES
The real numbers ; Differentiation ; Integration ; Sequences of functions ; Metric and Euclidean spaces ; Differentiation in higher dimensions ; Integration in higher dimensions ; Curves and surfaces ; Differential forms.
The real numbers -- Differentiation -- Integration -- Sequences of functions -- Metric and Euclidean spaces -- Differentiation in higher dimensions -- Integration in higher dimensions -- Curves and surfaces -- Differential forms.;"This rigorous textbook is intended for a year-long analysis or advan
This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the ba
I'm an electrical engineer, with a focus in signal processing. This is the book I learned Fourier analysis from, and once I did, the classes that EEs usually dread were relatively easy for me. This is the only textbook I actually read every chapter of (and we only covered the first half in the Fou