From Calculus to Analysis

Authors: Pedersen, Steen

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  • Exercises embedded in the text with solutions at the end of each section
  • Approaches the real numbers through infinite decimals
  • Classroom tested with both mathematics and mathematics education majors
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eBook $54.99
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  • ISBN 978-3-319-13641-7
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Hardcover $79.99
price for USA in USD
  • ISBN 978-3-319-13640-0
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Softcover $69.99
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  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-38136-7
  • Free shipping for individuals worldwide
About this Textbook

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

About the authors

Steen Pedersen, Ph.D. is a Professor of Mathematics at Wright State University in Dayton, Ohio, USA.  His research interests include fractals, metric geometry, fourier analysis, spectral theory, and operator algebras.

Reviews

“This book is mainly addressed to undergraduate students and it is intended to be a two-semester analysis course for these students. … As the title suggests, this textbook is intended to fill the gap between a calculus course and a student’s first serious real analysis 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.” (Teodora-Liliana Rădulescu, zbMATH 1315.26001, 2015)


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-13641-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-319-13640-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-38136-7
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
From Calculus to Analysis
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-13641-7
DOI
10.1007/978-3-319-13641-7
Hardcover ISBN
978-3-319-13640-0
Softcover ISBN
978-3-319-38136-7
Edition Number
1
Number of Pages
XIX, 342
Number of Illustrations
34 b/w illustrations, 14 illustrations in colour
Topics