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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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250225b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031439162 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Item number |
MER |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Mercer, Peter R. |
| 245 ## - TITLE STATEMENT |
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| Title |
A compact capstone course in classical Calculus |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Birkhauser, |
| Date of publication, distribution, etc |
2023 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xi, 157 p. : |
| Other physical details |
ill., (some col.), |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
59.99 |
| Price type code |
€ |
| Unit of pricing |
93.20 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Compact textbooks in mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Alternating Harmonic Series |
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| Topical term or geographic name as entry element |
AM-GM Inequality |
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| Topical term or geographic name as entry element |
Basel problem |
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| Topical term or geographic name as entry element |
Bernoulli's Inequality |
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| Topical term or geographic name as entry element |
Convex function |
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| Topical term or geographic name as entry element |
Jensen's Inequality |
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| Topical term or geographic name as entry element |
Maclaurin Series |
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| Topical term or geographic name as entry element |
Stirling's Formula |
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| Topical term or geographic name as entry element |
Taylor's Theorem |
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| Topical term or geographic name as entry element |
Trapezoid Rule |
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| Topical term or geographic name as entry element |
Triangle Inequality |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |