Sequences and Series in Calculus - De Gruyter Textbook - Joseph D. Fehribach - 書籍 - De Gruyter - 9783110768350 - 2023年7月24日
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Joseph D. Fehribach
Sequences and Series in Calculus - De Gruyter Textbook

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The book Sequences and Series in Calculus is designed as the first college/university calculus course for students who take and do well on the AP AB exam in high school and who are interested in a more proof-oriented treatment of calculus. The text begins with an e-N treatment of sequence convergence, then builds on this to discuss convergence of series—first series of real numbers, then series of functions. The difference between uniform and pointwise convergence is discussed in some detail.

This is followed by a discussion of calculus on power series and Taylor series. Finally improper integrals, integration by parts and partial fractions integration all are introduced. This book is designed both to teach calculus, and to give the readers and students a taste of analysis to help them determine if they wish to study this material even more deeply.

It might be used by colleges and universities who teach special versions of calculus courses for their most mathematically advanced entering first-year students, as might its older sibling text Multivariable and Vector Calculus which appeared in 2020 and is intended for students who take and do well on the AP BC exam.

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2023年7月24日
ISBN13 9783110768350
出版社 De Gruyter
ページ数 133
寸法 150 × 220 × 10 mm   ·   253 g

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