An Introduction to Analysis; Third Edition by James R. Kirkwood
Requirements: – reader, 11 MB
Overview: The third edition of this widely popular textbook is authored by a master teacher. This book provides a mathematically rigorous introduction to analysis of realÂvalued functions of one variable. This intuitive, student-friendly text is written in a manner that will help to ease the transition from primarily computational to primarily theoretical mathematics.
The material is presented clearly and as intuitive as possible while maintaining mathematical integrity. The author supplies the ideas of the proof and leaves the write-up as an exercise. The text also states why a step in a proof is the reasonable thing to do and which techniques are recurrent.
Examples, while no substitute for a proof, are a valuable tool in helping to develop intuition and are an important feature of this text. Examples can also provide a vivid reminder that what one hopes might be true is not always true.
Genre: Non-Fiction > Educational
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