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The Real Analysis Lifesaver

All the Tools You Need to Understand Proofs
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
The Real Analysis Lifesaver is an innovative and accessible guide designed to help students navigate the challenging first course in real analysis. It uniquely teaches not only the concepts of real numbers, topology, and sequences, but also how to construct rigorous proofs through a two-step process: working backwards from the problem's core and then formalising the solution. Filled with clear explanations, plenty of worked examples, guided fill-in-the-blank exercises, and a touch of humour, this book builds solid foundations for further study in proof-based mathematics.
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Format: Paperback / softback
$7400
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

This book is ideal for undergraduate students encountering real analysis for the first time, especially those seeking clear explanations and guidance in developing proof-writing skills. It suits motivated learners who want a supportive companion alongside their course materials.

Book Hero thinking about your next read

Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foun

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based maths.

Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach. First, it shows students how to work backwards to solve the crux of the problem, then it guides them on how to write it up formally. The book provides plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding.

Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about maths. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humour. It is the lifesaver that every drowning student needs.

The Real Analysis Lifesaver is the essential companion for any course in real analysis. It is clear, humorous, and written in an easy-to-read style. The book teaches students not just what the proofs are, but how to do them, with more than 40 worked-out examples. Every new definition is accompanied by examples and important clarifications.

Additionally, the book features more than 20 "fill in the blanks" exercises designed to help internalise proof techniques. This approach has been tried and tested in the classroom, ensuring it is an effective tool for any student.

Series: Princeton Lifesaver Study Guides

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  • The Real Analysis Lifesaver
    Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further...
    Paperback
    $7400
    Available
    Ships in 4-6 weeks

Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

Praised for its reader-friendly style and thorough preparation, the book is celebrated for carefully defining and proving all necessary concepts while revealing the author's enthusiasm for real analysis. Reviewers note it is especially beneficial for students transitioning into analysis who find traditional textbooks challenging.

Book Hero reading reviews

Book Details

INFORMATION

ISBN: 9780691172934

Publisher: Princeton University Press

Format: Paperback / softback

Date Published: 10 January 2017

Country: United States

Imprint: Princeton University Press

Illustration: 33 line illus.

Audience: General / adult, Tertiary education

DIMENSIONS

Width: 178.0mm

Height: 254.0mm

Weight: 482g

Pages: 200

About the Author

Raffi Grinberg is an entrepreneur and former management consultant. He graduated with honors from Princeton University with a degree in mathematics in 2012.

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