The Real Number System (Classic Reprint) - Hardcover

John M. H. Olmsted

Hardcover

ISBN 10: 0265839262 ISBN 13: 9780265839263

Publisher: Forgotten Books, 2018

Synopsis

A rigorous, multi-level introduction to real numbers, fields, and functions that helps learners of many backgrounds grasp core ideas with clarity and precision.

The book emphasizes elementary explanations and careful proofs, with examples and exercises designed for a wide audience. It guides readers from high school through undergraduate levels, and even toward graduate-leaning material in later chapters, all while keeping the discussion concrete and accessible.

• Clear, well-structured content that matches a range of learner backgrounds, from beginners to advanced students.
• Extensive practice, with hundreds of exercises to test understanding and build fluency.
• Plain-English explanations of key concepts like fields, ordered fields, intervals, and rational functions, plus systematic definitions and proofs.
• Flexible pathways through the material, including routes that emphasize different topics and levels of depth.

Ideal for readers seeking a solid, practical foundation in abstract mathematics and for instructors planning courses at multiple levels.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0265839262
• ISBN 13: 9780265839263
• Binding: Hardcover
• Number of pages: 228