Explore
This book helps the student complete the transition from purely manipulative to rigorous mathematics. The clear exposition covers many topics that are assumed by later courses but are often not covered with any depth or organization: basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers (including consequences of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces.
The many exercises and optional topics (isomorphism of complete ordered fields, construction of the real numbers through Dedekind cuts, introduction to normed linear spaces, etc.) allow the instructor to adapt this book to many environments and levels of students. Extensive hypertextual cross-references and hyperlinked indexes of terms and notation add truly interactive elements to the text.
There is a list of errata that records changes made to the text since the version of October 29, 2001. Other formats available at trillia.com
Mathematical Analysis I is a sequel of this work.
Why read this book? Have your say.
You must be logged in to comment.
ozantxt
Rights Information
Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.Downloads
- 810 - pdf (CC BY-NC-ND) at Unglue.it.
Keywords
- Mathematics
- Textbooks
Links
web: http://www.trillia.com/zakon1.htmlEditions