Classic Set Theory for Guided Independent Study is a book written by Derek Goldrei. This book is aimed at helping those students who study on their own and are not taught by lecturers. This is because the book has well-explained lectures from the universities for the students of Open University. The book is filled with teaching solutions for the reader so that they can learn even without any access to a teacher.
Classic Set Theory for Guided Independent Study Pdf Review:
The book is aimed at independent study so the contents are explained in a way that they are suitable for students who have no help from any source. Natural numbers and real numbers are explained in the book with respect to each other. At the same time, sets are also explained in the book with relation to other mathematical terms and aspects. The best part about the book is the way in which it teaches real analysis to the students so that they can solve math sums and understand the complication in mathematical problems.
Classic Set Theory for Guided Independent Study Pdf Features:
- The content of the book is written in quite a modern way for the students to understand modern math and its applications.
- For students to test their knowledge, there are exercises in the book. These exercises range from basic to complicated levels so that students can test their selves at all levels.
- Axioms are also mentioned in the book and they are explained in a well-planned way for the better understanding of the reader.
Table of Contents:
- The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers
- Defining natural numbers in terms of sets
- The potential paradoxes in set theory
- The Zermelo-Fraenkel axioms for set theory
- The axiom of choice
- The arithmetic of ordered sets
- Cantor’s two sorts of transfinite number – cardinals and ordinals – and the arithmetic of these.
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