Cálculo de varias variables trascendentes tempranas James Stewart, traducción Maria del Carmen Rodríguez Pedroza
Language: Español Original language: inglés Publisher: México, D.F. Cengage Learning ©2012Edition: 7a ediciónDescription: xxix, 591 páginas ilustraciones [a color]., figuras. 27 cmISBN: 0538497904; 9786074817850Subject(s): Analisis vectorial | Cálculo de varias variables | Cálculo varias variables | Constants of integration | Derivadas (matematicas) | Ecuaciones diferenciales | Funciones Vectoriales | Funciones | Geometria del Espacio | Integrales | Variables (Matematicas)DDC classification: 515.64Item type | Current location | Collection | Call number | Vol info | Copy number | Status | Date due | Barcode | Item holds |
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CRAI FUA Jaime Posada Colección general | Colección general | 515.64 St491cal (Browse shelf) | 7a ed. 2012 | 1 | Available | 0000055065 | ||
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CRAI FUA Jaime Posada Colección general | Colección general | 515.64 St491cal (Browse shelf) | 7a ed. 2012 | 2 | Available | 0000055067 | ||
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CRAI FUA Jaime Posada Colección general | Colección general | 515.64 St491cal (Browse shelf) | 7a ed. 2012 | 3 | Available | 0000055069 |
Enhanced descriptions from Syndetics:
Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.
Incluye índice y apéndice.
Ecuaciones paramétricas y coordenadas polares. - - Sucesiones y series infinitas. - - Vectores y geometría del espacio. - - Funciones vectoriales. - - Derivadas parciales. - - Integrales múltiples. - - Cálculo vectorial. - - Ecuaciones diferenciales de segundo orden.
CáLCULO de varias variables, Trascendentes tempranas es ampliamente reconocido por su precisión matemática, claridad de la exposición y notables ejemplos y conjuntos de problemas. Millones de estudiantes en todo el mundo han estudiado el cálculo a través del estilo registrado de Stewart, mientras que los instructores han adoptado su planteamiento una y otra vez. En la séptima edición, Stewart continúa estableciendo el estándar para el curso al tiempo que añade contenido cuidadosamente revisado. Las pacientes explicaciones, los excelentes ejercicios centrados en la resolución de problemas y las series de ejercicios cuidadosamente graduadas que han hecho de los textos de Stewart best sellers, continúan proporcionando una base sólida para la séptima edición. De los estudiantes con menos preparación hasta los más talentosos matemáticos, la redacción y la presentación de Stewart les sirven para mejorar el entendimiento y fomentar la confianza.
Calculus. Early trascendentals.
Publicado en inglés por Brooks/Cole, una compañía de Cengage Learning ©2012
Table of contents provided by Syndetics
- Diagnostic Tests
- Review
- Separable Equations
- Applied Project: Which is Faster, Going Up or Coming Down?
- Models for Population Growth
- Applied Project: Calculus and Baseball
- Linear Equations
- Predator-Prey Systems
- Review
- Problems Plus
- 10 Parametric Equations And Polar Coordinates
- Curves Defined by Parametric Equations
- Principles of Problem Solving
- Laboratory Project: Families of Hypocycloids
- Calculus with Parametric Curves
- Laboratory Project: Bezier Curves
- Polar Coordinates
- Areas and Lengths in Polar Coordinates
- Conic Sections
- Conic Sections in Polar Coordinates
- Review
- Problems Plus
- 11 Infinite Sequences And Series
- 2 Limits And Derivatives
- Sequences
- Laboratory Project: Logistic Sequences
- Series
- The Integral Test and Estimates of Sums
- The Comparison Tests
- Alternating Series
- Absolute Convergence and the Ratio and Root Tests
- Strategy for Testing Series
- Power Series
- Representations of Functions as Power Series
- The Tangent and Velocity Problems
- Taylor and Maclaurin Series
- Laboratory Project: An Elusive Limit
- Writing Project: How Newton Discovered the Binomial Series
- Applications of Taylor Polynomials
- Applied Project: Radiation from the Stars
- Review
- Problems Plus
- 12 Vectors And The Geometry Of Space
- Three-Dimensional Coordinate Systems
- Vectors
- The Limit of a Function
- The Dot Product
- The Cross Product
- Discovery Project: The Geometry of a Tetrahedron
- Equations of Lines and Planes
- Quadric Surfaces
- Cylindrical and Spherical Coordinates
- Laboratory Project: Families of Surfaces
- Review
- Problems Plus
- 13 Vector Functions
- Calculating Limits Using the Limit Laws
- Vector Functions and Space Curves
- Derivatives and Integrals of Vector Functions
- Arc Length and Curvature
- Motion in Space: Velocity and Acceleration
- Applied Project: Kepler's Laws
- Review
- Problems Plus
- 14 Partial Derivatives
- Functions of Several Variables
- Limits and Continuity
- The Precise Definition of a Limit
- Partial Derivatives
- Tangent Planes and Differentials
- The Chain Rule
- Directional Derivatives and the Gradient Vector
- Maximum and Minimum Values
- Applied Project: Designing a Dumpster
- Discovery Project: Quadratic Approximations and Critical Points
- Lagrange Multipliers
- Applied Project: Rocket Science
- Applied Project: Hydro-Turbine Optimization
- Continuity
- Review
- Problems Plus
- 15 Multiple Integrals
- Double Integrals over Rectangles
- Iterated Integrals
- Double Integrals over General Regions
- Double Integrals in Polar Coordinates
- Applications of Double Integrals
- Surface Area
- Triple Integrals
- Limits at Infinity
- Discovery Project: Volumes of Hyperspheres
- Triple Integrals in Cylindrical and Spherical Coordinates
- Applied Project: Roller Derby
- Discovery Project: The Intersection of Three Cylinders
- Change of Variables in Multiple Integrals
- Review
- Problems Plus
- 16 Vector Calculu
- Line Integrals
- The Fundamental Theorem for Line Integrals
- Horizontal Asymptotes
- Green's Theorem
- Curl and Divergence
- Parametric Surfaces and Their Areas
- Surface Integrals
- Stokes' Theorem
- Writing Project: Three Men and Two Theorems
- The Divergence Theorem
- Summary
- Review
- Problems Plus
- A Preview of Calculus
- Derivatives and Rates of Change
- 17 Second-Order Differential Equations
- Second-Order Linear Equations
- Nonhomogeneous Linear Equations
- Applications of Second-Order Differential Equations
- Series Solutions
- Review
- Problems Plus
- Appendixes
- A Numbers, Inequalities, and Absolute Values
- B Coordinate Geometry and Lines
- Writing Project: Early Methods for Finding Tangents
- C Graphs of Second-Degree Equations
- D Trigonometry
- E Sigma Notation
- F Proofs of Theorems
- G The Logarithm Defined as an Integral
- H Complex Numbers
- I Answers to Odd-Numbered Exercises
- The Derivative as a Function
- Review
- Problems Plus
- 3 Differentiation Rules
- Derivatives of Polynomials and Exponential Functions
- Applied Project: Building a Better Roller Coaster
- The Product and Quotient Rules
- Derivatives of Trigonometric Functions
- 1 Functions And Models
- The Chain Rule
- Applied Project: Where Should a Pilot Start Descent?
- Implicit Differentiation
- Derivatives of Logarithmic Functions
- Rates of Change in the Natural and Social Sciences
- Exponential Growth and Decay
- Related Rates
- Linear Approximations and Differentials
- Laboratory Project: Taylor Polynomials
- Hyperbolic Functions
- Four Ways to Represent a Function
- Review
- Problems Plus
- 4 Applications Of Differentiation
- Maximum and Minimum Values
- Applied Project: The Calculus of Rainbows
- The Mean Value Theorem
- How Derivatives Affect the Shape of a Graph
- Indeterminate Forms and L'Hospital's Rule
- Writing Project: The Origins of l'Hospital's Rule
- Summary of Curve Sketching
- Mathematical Models: A Catalog of Essential Functions
- Graphing with Calculus and Calculators
- Optimization Problems
- Applied Project: The Shape of a Can
- Newton's Metho
- Antiderivatives
- Review
- Problems Plus
- 5 Integrals
- Areas and Distances
- The Definite Integral
- New Functions from Old Functions
- Discovery Project: Area Functions
- The Fundamental Theorem of Calculus
- Indefinite Integrals and the Net Change Theorem
- Writing Project: Newton, Leibniz, and the Invention of Calculus
- The Substitution Rule
- Review
- Problems Plus
- 6 Applications Of Integration
- Areas between Curves
- Volume
- Graphing Calculators and Computers
- Volumes by Cylindrical Shells
- Work
- Average Value of a Function
- Applied Project: Where to Sit at the Movies
- Review
- Problems Plus
- 7 Techniques Of Integration
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitution
- Exponential Functions
- Integration of Rational Functions by Partial Fractions
- Strategy for Integration
- Integration Using Tables and Computer Algebra Systems
- Discovery Project: Patterns in Integrals
- Approximate Integration
- Improper Integrals
- Review
- Problems Plus
- 8 Further Applications Of Integration
- Arc Length
- Inverse Functions and Logarithms
- Discovery Project: Arc Length ConteSt. Area of a Surface of Revolution
- Discovery Project: Rotating on a Slant
- Applications to Physics and Engineering
- Discovery Project: Complementary Coffee Cups
- Probability
- Review
- Problems Plus
- 9 Differential Equations
- Modeling with Differential Equations
- Direction Fields and Euler's Method
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