From Calculus to Analysis

Authors: Schinazi, Rinaldo B.

  • Contains excellent exercise sets
  • Introduces the principles of real analysis, as a formidable counterpart to calculus
  • Places appropriate emphasis on techniques and definitions
  • Carefully written book with a thoughtful perspective for students
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eBook $44.99
price for USA (gross)
  • ISBN 978-0-8176-8289-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-8176-8288-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This comprehensive textbook is intended for a two-semester sequence in analysis. The first four chapters present a practical introduction to analysis by using the tools and concepts of calculus. The last five chapters present a first course in analysis. The presentation is clear and concise, allowing students to master the calculus tools that are crucial in understanding analysis.

From Calculus to Analysis prepares readers for their first analysis course—important because many undergraduate programs traditionally require such a course. Undergraduates and some advanced high-school seniors will find this text a useful and pleasant experience in the classroom or as a self-study guide. The only prerequisite is a standard calculus course.

Reviews

“The goal of this very readable text which is accompanied by a wealth of exercises is to advance the students technical experience, in particular in estimating algebraic expressions, and at the same time to enhance their mathematical culture.” (R. Steinbauer, Monatshefte für Mathematik, 2016)


Table of contents (9 chapters)

  • Number Systems

    Schinazi, Rinaldo B.

    Pages 1-32

  • Sequences and Series

    Schinazi, Rinaldo B.

    Pages 33-63

  • Power Series and Special Functions

    Schinazi, Rinaldo B.

    Pages 65-94

  • Fifty Ways to Estimate the Number π

    Schinazi, Rinaldo B.

    Pages 95-135

  • Continuity, Limits, and Differentiation

    Schinazi, Rinaldo B.

    Pages 137-176

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-8176-8289-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-8176-8288-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
From Calculus to Analysis
Authors
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8289-7
DOI
10.1007/978-0-8176-8289-7
Hardcover ISBN
978-0-8176-8288-0
Edition Number
1
Number of Pages
X, 250
Number of Illustrations and Tables
7 b/w illustrations
Topics