What does nonstandard analysis offer to our understanding of mathematics? In this groundbreaking book, Robert Golblatt conveys the answer through the following five features: New definitions of familiar concepts, often simpler and more intuitively natural. New and insightful (often simpler) proofs of familiar theorems. New and insightful constructions of familiar objects. New objects of mathematical interest. Powerful new properties and principles of reasoning. Nonstandard analysis provides an enlarged view of the mathematical landscape. It represents yet another state in the emergence of new number systems that is a significant theme in mathematical history. This volume offers a clear, easily accessible introduction to the main concepts and contains plentiful examples and exercises for students to test their understanding. Students should have some background in real analysis and abstract algebra. Copyright (C) Muze Inc. 2005. For personal use only. All rights reserved.