A first course in real analysis
This book is designed for a first course in real analysis which follows the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors include such elementary topics as the axioms of algebra and their immediate consequences and proofs of theorems on limits. The pace is deliberately slow, the proofs are detailed. The emphasis of the presentation is on theory, but the books also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There are many problems which require the student to learn techniques of proofs and the standard tools of analysis. -- Back cover.
Beyond its central premise, the book can be read through the connected lenses of Nonfiction. Those themes offer useful points of attention as the characters, ideas, or world develop, especially where the book complicates the expectations of its primary category.
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What the reading experience may hold
A fuller profile for choosing with more confidence—not just another copy of the preview.
Nonfiction
Use these as starting points rather than limits; the most memorable books often stretch beyond their catalog labels.
No specific content concerns can be confirmed from the available English catalog information. Consult a publisher or reader-supplied guide when detailed warnings matter.
These notes are inferred from available catalog information and may not be complete. Check a publisher or reader-supplied guide if you need comprehensive warnings.
Balanced tone · Steady pace
Best when you want to settle into a longer reading experience.
A good fit if…
Readers looking for a substantial, immersive commitment with room for a world or argument to unfold.
This book's DNA
A visual estimate based on this edition's categories, description, and length. Select a star to explore the signals.
This signal is descriptive, not a rating. It helps compare the kind of reading experience this edition may offer.
Spoiler-Free Emotional Arc
A broad estimate of the book’s emotional rhythm, shown without story events or outcomes.
This visualization is an interpretive estimate based on catalog description, categories, tone, pace, and content signals. It does not describe specific scenes.
A quick reading snapshot
Edition facts and catalog signals to help you decide whether this book fits what you want to read next.
- ISBN-13
- 978-0-3879-0215-9
- Language
- English
- Edition record
- OL4900048M
A more thoughtful way into this book
This guide uses the edition details and category signals above to help you choose deliberately. It does not replace the author's work or a full review.
Best when you want to settle into a longer reading experience.
Begin with its place in Nonfiction, then notice where the book resists that label.
Read for connection, not completion.
Mark one passage that sharpens the book's central concern and one that complicates it. That tension often reveals more than a quick summary.
Three questions to carry with you
- Whose perspective organizes the story, and whose perspective remains outside it?
- Which sources or lived experiences carry the author’s central argument?
- How does the book change the way you understand its larger subject?
Editorial framework by Wesley Bryan, BookenDeX Founder and Editor.
More Nonfiction books
These matches combine shared categories with author, publication-era, and reading-length signals.
