Introductory calculus

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roberts, A. Wayne (Arthur Wayne), 1934-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, Academic Press [1972]
Edición:2d ed.,
Temas:
Calculus.
Geometry, Analytic.
Calcul infinit�esimal.
G�eom�etrie analytique.
calculus.
Calculus
Geometry, Analytic
Acceso en línea:Texto completo
Tabla de Contenidos:
  • What is Analytic Geometry?
  • Vectors in the Plane
  • The Straight Line
  • The Conic Sections
  • Number Machines
  • Functions
  • Graphs; Getting the Picture
  • This is the Limit
  • Composition of Functions; the Inverse
  • Well-Behaved Functions
  • Approximation
  • The Definition
  • Notation
  • The Speedometer Reading
  • Computational Rules
  • The Derivative as a Linear Transformation
  • The Mean Value Theorem
  • Higher Derivatives
  • Taylor's Formula
  • Graphs; Refining the Picture
  • Maxima-Minima Problems
  • Velocity and Acceleration; Related Rates
  • The Area under a Curve
  • The Integral Defined
  • Properties of the Integral
  • The Fundamental Theorem
  • Improper Integrals.
  • Trigonometric Functions
  • Derivatives of the Trigonometric Functions
  • Derivatives of the Inverse Trigonometric Functions
  • The Logarithm and Its Inverse
  • The Hyperbolic Functions
  • A Tool for Finding Limits
  • A Summary
  • Trigonometric Substitutions
  • Integration by Parts
  • Rational Functions
  • Other Methods
  • Parametric Equations
  • Curves
  • Differentiation of Vector-Valued Functions
  • Acceleration and Curvature
  • Polar Coordinates
  • Solving Linear Equations
  • More about Vectors
  • Linear Transformations
  • Determinants
  • Change of Basis
  • Bilinear Transformations and Quadratic Forms
  • Symmetric Matrices
  • Vectors in R3
  • Lines and Planes in R3
  • Surfaces in R3
  • Functions
  • The Approximation of Problem.
  • The Definition
  • Real-Valued Functions of Several Variables
  • Higher Derivatives
  • More About Extreme Values of Functions
  • The Integral on a Rectangle
  • The Integral on a Nice Set
  • Change of Variables
  • Sequence and Series
  • Positive Series
  • Series with Some Negative Terms
  • Functions Defined by Infinite Series
  • Problems that Lead to Differential Equations
  • Families of Solutions
  • Linear Differential Equations with Constant Coefficients
  • First-Order Linear Differential Equations
  • Other First-Order, First-Degree Differential Equations
  • Approximating Solutions.

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