[PDF] Cálculo Conceptos Y Contextos - James Stewart - 5ta Edición

Cálculo Conceptos y Contextos – James Stewart – 5ta Edición

Descripción

Descubra el poder de aprender cálculo con el enfoque intuitivo, basado en el descubrimiento y de resolución de problemas que se encuentra en CALCULUS: CONCEPTS AND CONTEXTS, 5.ª edición de Stewart & Kokoska. Es una edición actualizada y fácil de leer, está diseñada utilizando los últimos principios de aprendizaje para eliminar las barreras típicas al aprendizaje. La experiencia de aprendizaje inclusivo y cuidadosamente planificada proporciona nuevas explicaciones guiadas paso a paso y ejemplos detallados con soluciones ampliadas.

Numerosos ejercicios brindan oportunidades para practicar, revisar y descubrir conceptos mediante el reconocimiento de patrones. Además, las definiciones precisas, las nuevas notas al margen y las funciones de aprendizaje se centran en conceptos clave y demuestran cómo evitar errores comunes. Cada aspecto de esta edición está diseñado para ayudarlo a comprender los conceptos más importantes de cálculo y aprender a aplicarlos en situaciones del mundo real.

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  • Chapter 1: Functions and Models
    1.1 Four Ways to Represent a Function
    1.2 Mathematical Models: A Catalog of Essential Functions
    1.3 New Functions from Old Functions
    1.4 Exponential Functions
    1.5 Inverse Functions and Logarithms
    1.6 Parametric Curves
    1 Review

    Chapter 2: Limits
    2.1 The Tangent and Velocity Problems
    2.2 The Limit of a Function
    2.3 Calculating Limits Using the Limit Laws
    2.4 Continuity
    2.5 Limits Involving Infinity
    2.6 Derivatives and Rates of Change
    2.7 The Derivative as a Function
    2 Review

    Chapter 3: Differentiation Rules
    3.1 Derivatives of Polynomials and Exponential Functions
    3.2 The Product and Quotient Rules
    3.3 Derivatives of Trigonometric Functions
    3.4 The Chain Rule
    3.5 Implicit Differentiation
    3.6 Inverse Trigonometric Functions and Their Derivatives
    3.7 Derivatives of Logarithmic Functions
    3.8 Rates of Change in the Natural and Social Sciences
    3.9 Linear Approximations and Differentials
    3 Review

    Chapter 4: Applications of Differentiation
    4.1 Related Rates
    4.2 Maximum and Minimum Values
    4.3 Derivatives and the Shapes of Curves
    4.4 Graphing with Calculus and Technology
    4.5 Indeterminate Forms and L'Hospital's Rule
    4.6 Optimization Problems
    4.7 Newton's Method
    4.8 Antiderivatives
    4 Review

    Chapter 5: Integrals
    5.1 Areas and Distances
    5.2 The Definite Integral
    5.3 Evaluating Definite Integrals
    5.4 The Fundamental Theorem of Calculus
    5.5 The Substitution Rule
    5.6 Integration by Parts
    5.7 Additional Techniques of Integration
    5.8 Integration Using Tables and Computer Algebra Systems
    5.9 Approximate Integration
    5.10 Improper Integrals
    5 Review

    Chapter 6: Applications of Integration
    6.1 More about Areas
    6.2 Volumes
    6.3 Volumes by Cylindrical Shells
    6.4 Arc Length
    6.5 Average Value of a Function
    6.6 Applications to Physics and Engineering
    6.7 Applications to Economics and Biology
    6.8 Probability
    6 Review

    Chapter 7: Differential Equations
    7.1 Modeling with Differential Equations
    7.2 Slope Fields and Euler's Method
    7.3 Separable Equations
    7.4 Exponential Growth and Decay
    7.5 The Logistic Equation
    7.6 Predator-Prey Systems
    7 Review

    Chapter 8: Infinite Sequences and Series
    8.1 Sequences
    8.2 Series
    8.3 The Integral and Comparison Tests, Estimating Sums
    8.4 Other Convergence Tests
    8.5 Power Series
    8.6 Representations of Functions as Power Series
    8.7 Taylor and Maclaurin Series
    8.8 Applications of Taylor Polynomials
    8 Review

    Chapter 9: Vectors and the Geometry of Space
    9.1 Three-Dimensional Coordinate Systems
    9.2 Vectors
    9.3 The Dot Product
    9.4 The Cross Product
    9.5 Equations of Lines and Planes
    9.6 Functions and Surfaces
    9.7 Cylindrical and Spherical Coordinates
    9 Review

    Chapter 10: Vector Functions
    10.1 Vector Functions and Space Curves
    10.2 Derivatives and Integrals of Vector Functions
    10.3 Arc Length and Curvature
    10.4 Motion in Space: Velocity and Acceleration
    10.5 Parametric Surfaces
    10 Review

    Chapter 11: Partial Derivatives
    11.1 Functions of Several Variables
    11.2 Limits and Continuity
    11.3 Partial Derivatives
    11.4 Tangent Planes and Linear Approximations
    11.5 The Chain Rule
    11.6 Directional Derivatives and the Gradient Vector
    11.7 Maximum and Minimum Values
    11.8 Lagrange Multipliers
    11 Review

    Chapter 12: Multiple Integrals
    12.1 Double Integrals over Rectangles
    12.2 Iterated Integrals
    12.3 Double Integrals over General Regions
    12.4 Double Integrals in Polar Coordinates
    12.5 Applications of Double Integrals
    12.6 Surface Area
    12.7 Triple Integrals
    12.8 Triple Integrals in Cylindrical and Spherical Coordinates
    12.9 Change of Variables in Multiple Integrals
    12 Review

    Chapter 13: Vector Calculus
    13.1 Vector Fields
    13.2 Line Integrals
    13.3 The Fundamental Theorem for Line Integrals
    13.4 Green's Theorem
    13.5 Curl and Divergence
    13.6 Surface Integrals
    13.7 Stokes' Theorem
    13.8 The Divergence Theorem
    13.9 Summary
    13 Review

    Appendixes
    Appendix A: Intervals, Inequalities, and Absolute Values
    Appendix B: Coordinate Geometry
    Appendix C: Trigonometry
    Appendix D: Precise Definitions of Limits
    Appendix E: A Few Proofs
    Appendix F: Sigma Notation
    Appendix G: Integration of Rational Functions by Partial Fractions
    Appendix H: Polar Coordinates
    Appendix I: Complex Numbers
    Appendix J: Answers to Odd-Numbered Exercises
    Index
  • Citar Libro
    • Título: Cálculo : Conceptos y Contextos
    • Autor/es:
    • ISBN-10: 0357632494
    • ISBN-13: 9780357632499
    • Edición: 5ta Edición
    • Año de edición: 2023
    • Tema: Cálculo
    • Subtema: Cálculo Fundamental
    • Tipo de Archivo: eBook
    • Idioma: eBook en Inglés

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