Schaum's outline of calculus

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ayres, Frank, 1901-1994
Otros Autores: Mendelson, Elliott
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : McGraw-Hill, [2012]
Edición:6th ed.
Colección:McGraw-Hill's AccessEngineering.
Schaum's outline series.
Temas:
Calculus > Outlines, syllabi, etc.
Coordinates > Outlines, syllabi, etc.
Curvature > Outlines, syllabi, etc.
Differential calculus > Outlines, syllabi, etc.
Differential equations > Outlines, syllabi, etc.
Calculus, Integral > Outlines, syllabi, etc.
Functional analysis > Outlines, syllabi, etc.
Electronic books.
Internet resources.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Linear coordinate systems. Absolute value. Inequalities
  • Rectangular coordinate systems
  • Lines
  • Circles
  • Equations and their graphs
  • Functions
  • Limits
  • Continuity
  • Derivative
  • Rules for differentiating functions
  • Implicit differentiation
  • Tangent and normal lines
  • Law of the mean. Increasing and decreasing functions
  • Maximum and minimum values
  • Curve sketching. Concavity. Symmetry
  • Review of trigonometry
  • Differentiation of trigonometric functions
  • Inverse trigonometric functions
  • Rectilinear and circular motion
  • Related rates
  • Differentials. Newton's method
  • Antiderivatives
  • Definite integral. Area under a curve
  • Fundamental theorem of calculus
  • Natural logarithm
  • Exponential and Logarithmic Functions
  • L'Hopital's Rule
  • Exponential growth and decay
  • Applications of integration I: area and arc length
  • Applications of integration II: volume
  • Techniques of integration I: integration by parts
  • Techniques of integration II: trigonometric integrands and trigonometric substitutions
  • Techniques of integration III: integration by partial fractions
  • Techniques of integration IV: miscellaneous substitutions
  • Improper integrals
  • Applications of integration III: area of a surface of revolution
  • Parametric representation of curves
  • Curvature
  • Plane vectors
  • Curvilinear motion
  • Polar coordinates
  • Infinite sequences
  • Infinite series
  • Series with positive terms. The integral test. Comparison tests
  • Alternating series. Absolute and conditional convergence. The ratio test
  • Power series
  • Taylor and maclaurin series. Taylor's formula with remainder
  • Partial derivatives
  • Total differential. Differentiability. Chain rules
  • Space vectors
  • Surfaces and curves in space
  • Directional derivatives. Maximum and minimum values
  • Vector differentiation and integration
  • Double and iterated integrals
  • Centroids and moments of inertia of plane areas
  • Double integration applied to volume under a surface and the area of a curved surface
  • Triple integrals
  • Masses of variable density
  • Differential equations of first and second order
  • Trigonometric formulas
  • Geometric formulas.

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