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## Details

Genre/Form: | eBooks (www) Electronic books Textbooks |
---|---|

Material Type: | Document, Government publication, State or province government publication, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Robert R Rogers; Eugene Boman; Open SUNY Textbooks, |

OCLC Number: | 880721663 |

Description: | 1 online resource (198 pages) : illustrations, portraits (some color) ; digital files (PDF or EPUB). |

Contents: | Three lessons before we begin -- Numbers real (R) and rational (Q) -- Calculus in the 17th and 18th centuries -- Questions concerning power series -- Joseph Fourier : the man who broke calculus -- Convergence of sequences and series -- Convergence of the Taylor series : a "tayl" of three remainders -- Continuity : what it isn't and what it is -- Intermediate and extreme values -- Back to power series -- Back to the real numbers -- On the nature of numbers -- Building the real numbers. |

Responsibility: | Robert Rogers, Eugene Boman. |

More information: |

### Abstract:

"This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem"--Provided by publisher.

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## Similar Items

### Related Subjects:(7)

- Functions of real variables -- Textbooks.
- Mathematical analysis -- Textbooks.
- Calculus -- Textbooks.
- Calculus.
- Functions of real variables.
- Mathematical analysis.
- MATHEMATICS / General.

### User lists with this item (1)

- Open Textbooks - Mathematics(12 items)
by uwestlibrary updated 2015-07-27