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Introductory analysis : a deeper view of calculus /
Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Diego :
Harcourt/Academic Press,
©2001.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Bagby, Richard J. | |
| 245 | 1 | 0 | |a Introductory analysis : |b a deeper view of calculus / |c Richard J. Bagby. |
| 260 | |a San Diego : |b Harcourt/Academic Press, |c ©2001. | ||
| 300 | |a 1 online resource (xvi, 201 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (page 197) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Copyright Page; Contents; Acknowledgments; Preface; Chapter I. The Real Number System; 1. Familiar Number Systems; 2. Intervals; 3. Suprema and Infima; 4. Exact Arithmetic in R; 5. Topics for Further Study; Chapter II. Continuous Functions; 1. Functions in Mathematics; 2. Continuity of Numerical Functions; 3. The Intermediate Value Theorem; 4. More Ways to Form Continuous Functions; 5. Extreme Values; Chapter III. Limits; 1. Sequences and Limits; 2. Limits and Removing Discontinuities; 3. Limits Involving infinity; Chapter IV. The Derivative; 1. Differentiability | |
| 505 | 8 | |a 2. Combining Differentiable Functions3. Mean Values; 4. Second Derivatives and Approximations; 5. Higher Derivatives; 6. Inverse Functions; 7. Implicit Functions and Implicit Differentiation; Chapter V. The Riemann Integral; 1. Areas and Riemann Sums; 2. Simplifying the Conditions for Integrability; 3. Recognizing Integrability; 4. Functions Defined by Integrals; 5. The Fundamental Theorem of Calculus; 6. Topics for Further Study; Chapter VI. Exponential and Logarithmic Functions; 1. Exponents and Logarithms; 2. Algebraic Laws as Definitions; 3. The Natural Logarithm | |
| 505 | 8 | |a 4. The Natural Exponential Function5. An Important Limit; Chapter VII. Curves and Arc Length; 1. The Concept of Arc Length; 2. Arc Length and Integration; 3. Arc Length as a Parameter; 4. The Arctangent and Arcsine Functions; 5. The Fundamental Trigonometric Limit; Chapter VIII. Sequences and Series of Functions; 1. Functions Defined by Limits; 2. Continuity and Uniform Convergence; 3. Integrals and Derivatives; 4. Taylor's Theorem; 5. Power Series; 6. Topics for Further Study; Chapter IX. Additional Computational Methods; 1. L'Hôpital's Rule; 2. Newton's Method; 3. Simpson's Rule | |
| 505 | 8 | |a 4. The Substitution Rule for IntegralsReferences; Index | |
| 520 | |a Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.* Written in an engaging, conversational tone and readable style while softening the rigor and theory* Takes a realistic approach to the necessary and accessible level of abstra. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematical analysis. |2 fast |0 (OCoLC)fst01012068 | |
| 776 | 0 | 8 | |i Print version: |a Bagby, Richard J. |t Introductory analysis. |d San Diego : Harcourt/Academic Press, ©2001 |z 0120725509 |z 9780120725502 |w (DLC) 00103265 |w (OCoLC)45316258 |
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