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001 | vtls000001634 | ||
003 | VRT | ||
005 | 20250102223524.0 | ||
008 | 081108s2007 njua | 001 0 eng | ||
020 | _a9780470073330 (acidfree paper) | ||
020 | _a0470073330 (acid-free paper) | ||
039 | 9 |
_a201402040059 _bVLOAD _c201010091004 _dmalmash _c200811091111 _dvenkatrajand _c200811080943 _dNoora _y200811080940 _zNoora |
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050 | 0 | 0 |
_aQA303.2 _b.E84 2007 |
100 | 1 |
_aEtgen, Garret J., _d1937- _913220 |
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245 | 1 | 0 |
_aCalculus : _bOne Variable. |
250 | _a10th ed. | ||
260 |
_aHoboken, NJ : _bWiley, _cc2007. |
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300 |
_axix, 637, 65, 7 p. : _bill. (some col.) ; _c28 cm. |
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500 | _aAt head of title: Salas, Hille, Etgen. | ||
500 | _aRevised by Garret J. Etgen. | ||
500 | _aIncludes index. | ||
505 | _aChapter 1. Precalculus Review. 1.1 What is Calculus? 1.2 Review of Elementary Mathematics. 1.3 Review of Inequalities. 1.4 Coordinate Plane; Analytic Geometry. 1.5 Functions. 1.6 The Elementary Functions. 1.7 Combinations of Functions. 1.8 A Note on Mathematical Proof; Mathematical Induction. Chapter 2. Limits and Continuity. 2.1 The Limit Process (An Intuitive Introduction). 2.2 Definition of Limit. 2.3 Some Limit Theorems. 2.4 Continuity. 2.5 The Pinching Theorem; Trigonometric Limits. 2.6 Two Basic Theorems. Chapter 3. The Derivative; The Process of Differentiation. 3.1 The Derivative. 3.2 Some Differentiation Formulas. 3.3 The d/dx Notation; Derivatives of Higher Order. 3.4 The Derivative as a Rate of Change. 3.5 The Chain Rule. 3.6 Differentiating the Trigonometric Functions. 3.7 Implicit Differentiation; Rational Powers. Chapter 4. The Mean-Value Theorem; Applications of the First and Second Derivatives. 4.1 The Mean-Value Theorem. 4.2 Increasing and Decreasing Functions. 4.3 Local Extreme Values. 4.4 Endpoint Extreme Values; Absolute Extreme Values. 4.5 Some Max-Min Problems. 4.6 Concavity and Points of Inflection. 4.7 Vertical and Horizontal Asymptotes; Vertical Tangents and Cusps. 4.8 Some Curve Sketching. 4.9 Velocity and Acceleration; Speed. 4.10 Related Rates of Change Per Unit Time. 4.11 Differentials. 4.12 Newton-Raphson Approximations. Chapter 5. Integration. 5.1 An Area Problem; A Speed-Distance Problem. 5.2 The Definite Integral of a Continuous Function. 5.3 The Function f(x) = Integral from a to x of f(t) dt. 5.4 The Fundamental Theorem of Integral Calculus. 5.5 Some Area Problems. 5.6 Indefinite I | ||
520 | _aFor ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. The book consistently provides clear calculus content to help them master these concepts and understand its relevance to the real world. Throughout the pages, it offers a perfect balance of theory and applications to elevate their mathematical insights. Readers will also find that the book emphasizes both problem-solving skills and real-world applications. | ||
650 | 0 |
_aCalculus _9921 |
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700 | 1 |
_aSalas, Saturnino L. _925071 |
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_2lcc _n0 _cBK |
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_c10332 _d10332 |