Calculus : one and several variables, with analytic geometry / S. L. Salas, Einar Hille, John T. Anderson.

Por: Salas, Saturnino LColaborador(es): Hille, Einar, 1894-1980 | Anderson, John T. (John Timothy), 1942-Editor: New York : Wiley, c1986Edición: 5th edDescripción: 2 v. : il. (algunas col) ; 25 cmISBN: 0471831034 (pt. 1)Tema(s): CalculusOtra clasificación: 26-01
Contenidos:
 Contents
Chapter 12 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS [593]
Sequences of Real Numbers [593]
The Limit of a Sequence [599]
Some Important Limits [611]
Limits as x→±∞ [615]
The Indeterminate Form (0/0) [619]
Infinite Limits; The Indeterminate Form (∞/∞) [625]
Improper Integrals [632]
12.8 Additional Exercises [638]
12.9 Chapter Summary Chapter [639]
13 INFINITE SERIES [643]
13.1 Sigma Notation [643]
13.2 Infinite Series [646]
13.3 The Integral Test; Comparison Theorems [656]
13.4 The Root Test; The Ratio Test [664]
13.5 Absolute and Conditional Convergence; Alternating Series [669]
13.6 Taylor Polynomials in x; Taylor Series in x [675]
13.7 Taylor Polynomials in x - a\ Taylor Series in x — a [687]
13.8 Power Series [691]
13.9 Differentiation and Integration of Power Series [697]
13.10 The Binomial Series [709]
13.11 Series Solutions of Differential Equations [711]
13.12 Additional Exercises [715]
13.13 Chapter Summary [718]
Chapter .14 VECTORS [721]
14.1 Cartesian Space Coordinates [721]
14.2 Displacements and Forces [725]
14.3 Vectors [729]
14.4 The Dot Product [738]
14.5 Lines [748]
14.6 Planes [758]
14.7 The Cross Product [766]
14.8 Some Geometry by Vector Methods [774]
14.9 Additional Exercises [776]
14.10 Chapter Summary [779]
Chapter 15 VECTOR CALCULUS [781]
15.1 Vector Functions [781]
15.2 Differentiation Formulas [789]
15.3 Curves [793]
15.4 Arc Length [803]
15.5 Velocity and Acceleration [810]
15.6 Curvature [818]
15.7 Chapter Summary [829]
Chapter 16 FUNCTIONS OF SEVERAL VARIABLES [831]
16.1 Elementary Examples [831]
16.2 A Brief Catalog of the Quadric Surfaces; Projections [835]
16.3 Graphs; Level Curves and Level Surfaces [844]
16.4 Partial Derivatives [851]
16.5 Open Sets and Closed Sets [860]
16.6 Limits and Continuity; Equality of Mixed Partials [864]
16.7 Chapter Summary [873]
Chapter 17 GRADIENTS; EXTREME VALUES; DIFFERENTIALS [875]
17.1 Differentiability and Gradient [875]
17.2 Gradients and Directional Derivatives [882]
17.3 The Mean-Value Theorem; Chain Rules [892]
17.4 The Gradient as a Normal; Tangent Lines and Tangent Planes [904]
17.5 Maximum and Minimum Values [914]
17.6 Second-Partials Test [923]
17.7 Maxima and Minima with Side Conditions [929]
17.8 Differentials [938]
17.9 Reconstructing a Function from Its Gradient [943]
17.10 Chapter Summary [950]
Chapter 18 DOUBLE AND TRIPLE INTEGRALS [953]
18.1 Multiple-Sigma Notation [953]
18.2 The Double Integral over a Rectangle [956]
18.3 The Double Integral over More General Regions [965]
18.4 The Evaluation of Double Integrals by Repeated Integrals [968]
18.5 Double Integrals in Polar Coordinates [980]
18.6 Triple Integrals [990]
18.7 Reduction to Repeated Integrals [993]
18.8 Averages and Centroids [1002]
18,9 Integration in Cylindrical Coordinates [1012]
18,10 Integration in Spherical Coordinates [1017]
18,11 Chapter Summary [1023]
Chapter 19 LINE INTEGRALS AND SURFACE INTEGRALS [1027]
19,1 Work and Line Integrals [1027]
19.2 The Fundamental Theorem for Line Integrals [1035]
19.3 Green’s Theorem [1041]
19.4 Multiple Riemann Sums; Surface Area [1048]
19,5 The Mass of a Material Surface; Surface Integrals [1057]
19.6 The Divergence Theorem [1064]
19.7 Stokes’s Theorem [1069]
19.8 Chapter Summary [1078]
Appendix A SOME ELEMENTARY TOPICS A-1
A.1 Sets A-1
A.2 Radian Measure A-5
A3 Induction A-9
A.4 Complex Numbers A-ll
Appendix B SOME ADDITIONAL PROOFS A-17
B. 1 The Intermediate-Value Theorem A-17
B.2 The Maximum-Minimum Theorem A-18
B3 Inverses A-19
B.4 The Integrability of Continuous Functions A-20
B.5 The Integral as the Limit of Riemann Sums A-24
Appendix C TABLES A-25
Table 1 Natural Logs A-25
Table 2 Exponentials (0.01 to 0.99) A-26
Table 3 Exponentials (1.0 to 4.9) A-27
Table 4 Sines, Cosines, Tangents (Radian Measure) A-28
Table 5 Sines, Cosines, Tangents (Degree Measure) A-30
ANSWERS TO ODD-NUMBERED EXERCISES A-33
INDEX I-1
TABLE OF INTEGRALS Inside Covers
    Average rating: 0.0 (0 votes)
Item type Home library Shelving location Call number Materials specified Status Date due Barcode Course reserves
Libros Libros Instituto de Matemática, CONICET-UNS
Libros ordenados por tema 26 Sa161 (Browse shelf) Part 2 Available A-6387

ANÁLISIS MATEMÁTICO II A


La biblioteca sólo posee la parte 2. AR-BbIMB

Contents --
Chapter 12 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS [593] --
Sequences of Real Numbers [593] --
The Limit of a Sequence [599] --
Some Important Limits [611] --
Limits as x→±∞ [615] --
The Indeterminate Form (0/0) [619] --
Infinite Limits; The Indeterminate Form (∞/∞) [625] --
Improper Integrals [632] --
12.8 Additional Exercises [638] --
12.9 Chapter Summary Chapter [639] --
13 INFINITE SERIES [643] --
13.1 Sigma Notation [643] --
13.2 Infinite Series [646] --
13.3 The Integral Test; Comparison Theorems [656] --
13.4 The Root Test; The Ratio Test [664] --
13.5 Absolute and Conditional Convergence; Alternating Series [669] --
13.6 Taylor Polynomials in x; Taylor Series in x [675] --
13.7 Taylor Polynomials in x - a\ Taylor Series in x — a [687] --
13.8 Power Series [691] --
13.9 Differentiation and Integration of Power Series [697] --
13.10 The Binomial Series [709] --
13.11 Series Solutions of Differential Equations [711] --
13.12 Additional Exercises [715] --
13.13 Chapter Summary [718] --
Chapter .14 VECTORS [721] --
14.1 Cartesian Space Coordinates [721] --
14.2 Displacements and Forces [725] --
14.3 Vectors [729] --
14.4 The Dot Product [738] --
14.5 Lines [748] --
14.6 Planes [758] --
14.7 The Cross Product [766] --
14.8 Some Geometry by Vector Methods [774] --
14.9 Additional Exercises [776] --
14.10 Chapter Summary [779] --
Chapter 15 VECTOR CALCULUS [781] --
15.1 Vector Functions [781] --
15.2 Differentiation Formulas [789] --
15.3 Curves [793] --
15.4 Arc Length [803] --
15.5 Velocity and Acceleration [810] --
15.6 Curvature [818] --
15.7 Chapter Summary [829] --
Chapter 16 FUNCTIONS OF SEVERAL VARIABLES [831] --
16.1 Elementary Examples [831] --
16.2 A Brief Catalog of the Quadric Surfaces; Projections [835] --
16.3 Graphs; Level Curves and Level Surfaces [844] --
16.4 Partial Derivatives [851] --
16.5 Open Sets and Closed Sets [860] --
16.6 Limits and Continuity; Equality of Mixed Partials [864] --
16.7 Chapter Summary [873] --
Chapter 17 GRADIENTS; EXTREME VALUES; DIFFERENTIALS [875] --
17.1 Differentiability and Gradient [875] --
17.2 Gradients and Directional Derivatives [882] --
17.3 The Mean-Value Theorem; Chain Rules [892] --
17.4 The Gradient as a Normal; Tangent Lines and Tangent Planes [904] --
17.5 Maximum and Minimum Values [914] --
17.6 Second-Partials Test [923] --
17.7 Maxima and Minima with Side Conditions [929] --
17.8 Differentials [938] --
17.9 Reconstructing a Function from Its Gradient [943] --
17.10 Chapter Summary [950] --
Chapter 18 DOUBLE AND TRIPLE INTEGRALS [953] --
18.1 Multiple-Sigma Notation [953] --
18.2 The Double Integral over a Rectangle [956] --
18.3 The Double Integral over More General Regions [965] --
18.4 The Evaluation of Double Integrals by Repeated Integrals [968] --
18.5 Double Integrals in Polar Coordinates [980] --
18.6 Triple Integrals [990] --
18.7 Reduction to Repeated Integrals [993] --
18.8 Averages and Centroids [1002] --
18,9 Integration in Cylindrical Coordinates [1012] --
18,10 Integration in Spherical Coordinates [1017] --
18,11 Chapter Summary [1023] --
Chapter 19 LINE INTEGRALS AND SURFACE INTEGRALS [1027] --
19,1 Work and Line Integrals [1027] --
19.2 The Fundamental Theorem for Line Integrals [1035] --
19.3 Green’s Theorem [1041] --
19.4 Multiple Riemann Sums; Surface Area [1048] --
19,5 The Mass of a Material Surface; Surface Integrals [1057] --
19.6 The Divergence Theorem [1064] --
19.7 Stokes’s Theorem [1069] --
19.8 Chapter Summary [1078] --
Appendix A SOME ELEMENTARY TOPICS A-1 --
A.1 Sets A-1 --
A.2 Radian Measure A-5 --
A3 Induction A-9 --
A.4 Complex Numbers A-ll --
Appendix B SOME ADDITIONAL PROOFS A-17 --
B. 1 The Intermediate-Value Theorem A-17 --
B.2 The Maximum-Minimum Theorem A-18 --
B3 Inverses A-19 --
B.4 The Integrability of Continuous Functions A-20 --
B.5 The Integral as the Limit of Riemann Sums A-24 --
Appendix C TABLES A-25 --
Table 1 Natural Logs A-25 --
Table 2 Exponentials (0.01 to 0.99) A-26 --
Table 3 Exponentials (1.0 to 4.9) A-27 --
Table 4 Sines, Cosines, Tangents (Radian Measure) A-28 --
Table 5 Sines, Cosines, Tangents (Degree Measure) A-30 --
ANSWERS TO ODD-NUMBERED EXERCISES A-33 --
INDEX I-1 --
TABLE OF INTEGRALS Inside Covers --

MR, REVIEW #

There are no comments on this title.

to post a comment.

Click on an image to view it in the image viewer

¿Necesita ayuda?

Si necesita ayuda para encontrar información, puede visitar personalmente la biblioteca en Av. Alem 1253 Bahía Blanca, llamarnos por teléfono al 291 459 5116, o enviarnos un mensaje a biblioteca.antonio.monteiro@gmail.com

Powered by Koha