Calculus : (Record no. 127948)

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003 - CONTROL NUMBER IDENTIFIER
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005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230831141608.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 230831b2021 nju||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781119770671 (pbk)
040 ## - CATALOGING SOURCE
Language of cataloging eng
Transcribing agency HNU
Description conventions rda
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 23
Placement Code GC
Classification number 515 Sa31
Item number 2021
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Salas, Saturnino L.
245 ## - TITLE STATEMENT
Title Calculus :
Remainder of title one and several variables /
Statement of responsibility, etc. Saturnino L. Salas, Einar Hille, Garret J. Etgen
250 ## - EDITION STATEMENT
Edition statement Tenth edition.
Remainder of edition statement International adaptation.
264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Hoboken, New Jersey, USA :
Name of producer, publisher, distributor, manufacturer John Wiley & Sons, Inc.,
Date of production, publication, distribution, manufacture, or copyright notice 2021
300 ## - PHYSICAL DESCRIPTION
Extent xvi, 1039 pages, A-90, I-9 :
Other physical details colored illustrations ;
Dimensions 28 cm
500 ## - GENERAL NOTE
General note Includes index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note <br/>Chapter 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 Integrals. 5.7 Working Back from the Chain Rule; the u-Substitution. 5.8 Additional Properties of the Definite Integral. 5.9 Mean-Value Theorems for Integrals; Average Value of a Function. Chapter 6. Some Applications of the Integral. 6.1 More on Area. 6.2 Volume by Parallel Cross-Sections; Discs and Washers. 6.3 Volume by the Shell Method. 6.4 The Centroid of a Region; Pappus’s Theorem on Volumes. 6.5 The Notion of Work. 6.6 Fluid Force. Chapter 7. The Transcendental Functions. 7.1 One-to-One Functions; Inverse Functions. 7.2 The Logarithm Function, Part I. 7.3 The Logarithm Function, Part II. 7.4 The Exponential Function. 7.5 Arbitrary Powers; Other Bases. 7.6 Exponential Growth and Decay. 7.7 The Inverse Trigonometric Functions. 7.8 The Hyperbolic Sine and Cosine. 7.9 The Other Hyperbolic Functions. Chapter 8. Techniques of Integration. 8.1 Integral Tables and Review. 8.2 Integration by Parts. 8.3 Powers and Products of Trigonometric Functions. 8.4 Integrals Featuring Square Root of (a^2 – x^2), Square Root of (a^2 + x^2), and Square Root of (x^2 – a^2). 8.5 Rational Functions; Partial Functions. 8.6 Some Rationalizing Substitutions. 8.7 Numerical Integration. Chapter 9. Differential Equations. 9.1 First-Order Linear Equations. 9.2 Integral Curves; Separable Equations. 9.3 The Equation y′′ + ay′+ by = 0. Chapter 10. The Conic Sections; Polar Coordinates; Parametric Equations. 10.1 Geometry of Parabola, Ellipse, Hyperbola. 10.2 Polar Coordinates. 10.3 Graphing in Polar Coordinates. 10.4 Area in Polar Coordinates. 10.5 Curves Given Parametrically. 10.6 Tangents to Curves Given Parametrically. 10.7 Arc Length and Speed. 10.8 The Area of a Surface of Revolution; Pappus’s Theorem on Surface Area. Chapter 11. Sequences; Indeterminate Forms; Improper Integrals. 11.1 The Least Upper Bound Axiom. 11.2 Sequences of Real Numbers. 11.3 The Limit of a Sequence. 11.4 Some Important Limits. 11.5 The Indeterminate Forms (0/0). 11.6 The Indeterminate Form (∞/∞); Other Indeterminate Forms. 11.7 Improper Integrals. Chapter 12. Infinite Series. 12.1 Sigma Notation. 12.2 Infinite Series. 12.3 The Integral Test; Basic Comparison, Limit Comparison. 12.4 The Root Test; The Ratio Test. 12.5 Absolute and Conditional Convergence; Alternating Series. 12.6 Taylor Polynomials in x; Taylor Series in x. 12.7 Taylor Polynomials and Taylor Series in x – a. 12.8 Power Series. 12.9 Differentiation and Integration of Power Series. Chapter 13. Vectors. 13.1 Rectangular Space Coordinates. 13.2 Vectors in Three-Dimensional Space. 13.3 The Dot Product. 13.4 The Cross Product. 13.5 Lines. 13.6 Planes. 13.7 Higher Dimensions. Chapter 14. Vector Calculus. 14.1 Limit, Continuity, Vector Derivative. 14.2 The Rules of Differentiation. 14.3 Curves. 14.4 Arc Length. 14.5 Curvilinear Motion; Curvature. 14.6 Vector Calculus in Mechanics. 14.7 Planetary Motion. Chapter 15. Functions of Several Variables. 15.1 Elementary Examples. 15.2 A Brief Catalogue of Quadric Surfaces; Projections. 15.3 Graphs; Level Curves and Level Surfaces. 15.4 Partial Derivatives. 15.5 Open Sets and Closed Sets. 15.6 Limits and Continuity; Equality of Mixed Partials. Chapter 16. Gradients; Extreme Values; Differentials. 16.1 Differentiability and Gradient. 16.2 Gradients and Directional Derivatives. 16.3 The Mean-Value Theorem; the Chain Rule. 16.4 The Gradient as a Normal; Tangent Lines and Tangent Planes. 16.5 Local Extreme Values. 16.6 Absolute Extreme Values. 16.7 Maxima and Minima with Side Conditions. 16.8 Differentials. 16.9 Reconstructing a Function from Its Gradient. Chapter 17. Multiple Integrals. 17.1 Multiple-Sigma Notation. 17.2 Double Integrals. 17.3 The Evaluation of Double Integrals by Repeated Integrals. 17.4 The Double Integral as the Limit or Riemann Sums; Polar Coordinates. 17.5 Further Applications of Double Integration. 17.6 Triple Integrals. 17.7 Reduction to Repeated Integrals. 17.8 Cylindrical Coordinates. 17.9 The Triple Integral as the Limit of Riemann Sums; Spherical Coordinates. 17.10 Jacobians; Changing Variables in Multiple Integration. Chapter 18. Line Integrals and Surface Integrals. 18.1 Line Integrals. 18.2 The Fundamental Theorem for Line Integrals. 18.3 Work-Energy Formula; Conservation of Mechanical Energy. 18.4 Another Notation for Line Integrals; Line Integrals with Respect to Arc Length. 18.5 Green’s Theorem. 18.6 Parametrized Surfaces; Surface Area. 18.7 Surface Integrals. 18.8 The Vector Differential Operator Ñ. 18.9 The Divergence Theorem. 18.10 Stokes’s Theorem. Chapter 19. Additional Differential Equations. 19.1 Bernoulli Equations; Homogeneous Equations. 19.2 Exact Differential Equations; Integrating Factors. 19.3 Numerical Methods. 19.4 The Equation y′′ + ay′+ by = ø(x). 19.5 Mechanical Vibrations. Appendix A. Some Additional Topics. A.1 Rotation of Axes; Eliminating the xy-Term. A.2 Determinants. Appendix B. Some Additional Proofs. B.1 The Intermediate-Value Theorem. B.2 Boundedness; Extreme-Value Theorem. B.3 Inverses. B.4 The Integrability of Continuous Functions. B.5 The Integral as the Limit of Riemann Sums.<br/>
520 ## - SUMMARY, ETC.
Summary, etc. For 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.
521 ## - TARGET AUDIENCE NOTE
Target audience note College of Engineering and Computer Studies
Source Bachelor of Science in Civil Engineering
521 ## - TARGET AUDIENCE NOTE
Target audience note College of Engineering and Computer Studies
Source Bachelor of Science in Electronics Engineering
546 ## - LANGUAGE NOTE
Language note Text in English
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Calculus.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Hille, Einar.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Etgen, Garret J.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Classification part 500-599
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Checked out Date last seen Date last checked out Price effective from Koha item type
    Dewey Decimal Classification     GC College Library College Library General Circulation Section 07/25/2023 Library Fund 3 GC 515 Sa31 2021 HNU004074 07/31/2025 06/13/2025 06/13/2025 08/31/2023 Books