Honors Calculus / / Charles R. MacCluer.
This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis c...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
|---|---|
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©2006 |
| Year of Publication: | 2021 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (200 p.) :; 38 line illus. |
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| 100 | 1 | |a MacCluer, Charles R., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Honors Calculus / |c Charles R. MacCluer. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2021] | |
| 264 | 4 | |c ©2006 | |
| 300 | |a 1 online resource (200 p.) : |b 38 line illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Acknowledgments -- |t HONORS CALCULUS -- |t 1 Functions on Sets -- |t 12 The Real Numbers -- |t 3 Metric Properties -- |t 4 Continuity -- |t 5 Limits and Derivatives -- |t 6 Applications of the Derivative -- |t 7 The Riemann Integral -- |t 8 Applications of the Integral -- |t 9 Infinite Series -- |t References -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Calculus |v Textbooks. | |
| 650 | 7 | |a MATHEMATICS / Calculus. |2 bisacsh | |
| 653 | |a Accumulation point. | ||
| 653 | |a Analytic function. | ||
| 653 | |a Bisection, the method. | ||
| 653 | |a Central limit theorem, Conditional convergence. | ||
| 653 | |a Countably infinite. | ||
| 653 | |a Darboux sums. | ||
| 653 | |a Escape velocity. | ||
| 653 | |a Extrema. | ||
| 653 | |a Fluid resistance. | ||
| 653 | |a Graph of a function. | ||
| 653 | |a Heine-Borel lemma. | ||
| 653 | |a Inertial force. | ||
| 653 | |a Infinite series. | ||
| 653 | |a Integrable. | ||
| 653 | |a Lindelof principle. | ||
| 653 | |a Linear approximation. | ||
| 653 | |a Logarithm. | ||
| 653 | |a Mean value theorem. | ||
| 653 | |a Midpoint rule. | ||
| 653 | |a Objective function. | ||
| 653 | |a Observed fact. | ||
| 653 | |a Osculating circle. | ||
| 653 | |a Partial derivative. | ||
| 653 | |a Partial fractions. | ||
| 653 | |a Poisson flow. | ||
| 653 | |a Ratio test. | ||
| 653 | |a Reactor scram. | ||
| 653 | |a Scientific method. | ||
| 653 | |a Secant lines. | ||
| 653 | |a Tangent lines. | ||
| 653 | |a Uniformly continuous. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691218229?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691218229 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691218229.jpg |
| 912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
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