Transition to Analysis with Proof

Nonfiction, Science & Nature, Mathematics, Set Theory, Functional Analysis
Cover of the book Transition to Analysis with Proof by Steven Krantz, CRC Press
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Author: Steven Krantz ISBN: 9781351662932
Publisher: CRC Press Publication: November 9, 2017
Imprint: Chapman and Hall/CRC Language: English
Author: Steven Krantz
ISBN: 9781351662932
Publisher: CRC Press
Publication: November 9, 2017
Imprint: Chapman and Hall/CRC
Language: English

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.

The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.

  • Combines the author’s previous works Elements of Advanced Mathematics with Foundations of Analysis
  • Combines logic, set theory and other elements with a one-semester introduction to analysis.
  • Author is a well-known mathematics educator and researcher
  • Targets a trend to combine two courses into one
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Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.

The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.

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