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Produktbild: Schaum's Outline of Calculus, Seventh Edition

Schaum's Outline of Calculus, Seventh Edition

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

22.10.2021

Abbildungen

Illustrationen, nicht spezifiziert

Verlag

McGraw-Hill Education Ltd

Seitenzahl

569

Maße (L/B/H)

28/21/3,2 cm

Gewicht

1111 g

Auflage

7. Auflage

Sprache

Englisch

ISBN

978-1-264-25833-8

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

22.10.2021

Abbildungen

Illustrationen, nicht spezifiziert

Verlag

McGraw-Hill Education Ltd

Seitenzahl

569

Maße (L/B/H)

28/21/3,2 cm

Gewicht

1111 g

Auflage

7. Auflage

Sprache

Englisch

ISBN

978-1-264-25833-8

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Schaum's Outline of Calculus, Seventh Edition
  • Preface
    Chapter 1 Linear Coordinate Systems. Absolute Value. Inequalities.
       Linear Coordinate System
       Finite Intervals
       Infinite Intervals
       Inequalities
       Solved Problems
       Supplementary Problems
    Chapter 2 Rectangular Coordinate Systems
       Coordinate Axes
       Coordinates
       Quadrants
       The Distance Formula
       The Midpoint Formulas
       Proofs of Geometric Theorems
       Solved Problems
       Supplementary Problems
    Chapter 3 Lines
       The Steepness of a Line
       The Sign of the Slope
       Slope and Steepness
       Equations of Lines
       A Point-Slope Equation
       Slope-Intercept Equation
       Parallel Lines
       Perpendicular Lines
       Solved Problems
       Supplementary Problems
    Chapter 4 Circles
       Equations of Circles
       The Standard Equation of a Circle
       Solved Problems
       Supplementary Problems
    Chapter 5 Equations and Their Graphs
       The Graph of an Equation
       Parabolas
       Ellipses
       Hyperbolas
       Conic Sections
       Solved Problems
       Supplementary Problems
    Chapter 6 Functions
       Solved Problems
       Supplementary Problems
    Chapter 7 Limits
       Limit of a Function
       Right and Left Limits
       Theorems on Limits
       Infinity
       Solved Problems
       Supplementary Problems
    Chapter 8 Continuity
       Continuous Function
       Solved Problems
       Supplementary Problems
    Chapter 9 The Derivative
       Delta Notation
       The Derivative
       Notation for Derivatives
       Differentiability
       Solved Problems
       Supplementary Problems
    Chapter 10 Rules for Differentiating Functions
       Differentiation
       Composite Functions. The Chain Rule.
       Chain Rule
       Alternative Formulation of the Chain Rule
       Inverse Functions
       Higher Derivatives
       Solved Problems
       Supplementary Problems
    Chapter 11 Implicit Differentiation
       Implicit Functions
       Derivatives of Higher Order
       Solved Problems
       Supplementary Problems
    Chapter 12 Tangent and Normal Lines
       The Angles of Intersection
       Solved Problems
       Supplementary Problems
    Chapter 13 Law of the Mean. Increasing and Decreasing Functions.
       Relative Maximum and Minimum
       Increasing and Decreasing Functions
       Solved Problems
       Supplementary Problems
    Chapter 14 Maximum and Minimum Values
       Critical Numbers
       Second Derivative Test for Relative Extrema
       First Derivative Test
       Absolute Maximum and Minimum
       Tabular Method for Finding the Absolute Maximum and Minimum
       Solved Problems
       Supplementary Problems
    Chapter 15 Curve Sketching. Concavity. Symmetry.
       Concavity
       Points of Inflection
       Vertical Asymptotes
       Horizontal Asymptotes
       Symmetry
       Inverse Functions and Symmetry
       Even and Odd Functions
       Hints for Sketching the Graph G of y = f (x)
       Solved Problems
       Supplementary Problems
    Chapter 16 Review of Trigonometry
       Angle Measure
       Directed Angles
       Sine and Cosine Functions
       Solved Problems
       Supplementary Problems
    Chapter 17 Differentiation of Trigonometric Functions
       Continuity of cos x and sin x
       Graph of sin x
       Graph of cos x
       Other Trigonometric Functions
       Derivatives
       Other Relationships
       Graph of y = tan x
       Graph of y = sec x
       Angles Between Curves
       Solved Problems
       Supplementary Problems
    Chapter 18 Inverse Trigonometric Functions
       The Derivative of sin¿1 x
       The Inverse Cosine Function
       The Inverse Tangent Function
       Solved Problems
       Supplementary Problems
    Chapter 19 Rectilinear and Circular Motion
       Rectilinear Motion
       Motion Under the Influence of Gravity
       Circular Motion
       Solved Problems
       Supplementary Problems
    Chapter 20 Related Rates
       Solved Problems
       Supplementary Problems
    Chapter 21 Differentials. Newton's Method.
       The Differential
       Definition
       Newton's Method
       Solved Problems
       Supplementary Problems
    Chapter 22 Antiderivatives
       Laws for Antiderivatives
       Solved Problems
       Supplementary Problems
    Chapter 23 The Definite Integral. Area Under a Curve.
       Sigma Notation
       Area Under a Curve
       Properties of the Definite Integral
       Solved Problems
       Supplementary Problems
    Chapter 24 The Fundamental Theorem of Calculus
       Mean Value Theorem for Integrals
       Average Value of a Function on a Closed Interval
       Fundamental Theorem of Calculus
       Change of Variable in a Definite Integral
       Solved Problems
       Supplementary Problems
    Chapter 25 The Natural Logarithm
       The Natural Logarithm
       Definition
       Properties of the Natural Logarithm
       Solved Problems
       Supplementary Problems
    Chapter 26 Exponential and Logarithmic Functions
       Definition
       Properties of ex
       The General Exponential Function
       General Logarithmic Functions
       Solved Problems
       Supplementary Problems
    Chapter 27 L'Hôpital's Rule
       L'Hôpital's Rule
       Indeterminate Type 0 · ¿
       Indeterminate Type ¿ ¿ ¿
       Indeterminate Types 00, ¿0, and 1¿
       Solved Problems
       Supplementary Problems
    Chapter 28 Exponential Growth and Decay
       Half-Life
       Solved Problems
       Supplementary Problems
    Chapter 29 Applications of Integration I: Area and Arc Length
       Area Between a Curve and the Y-Axis
       Areas Between Curves
       Arc Length
       Solved Problems
       Supplementary Problems
    Chapter 30 Applications of Integration II: Volume
       Disk Formula
       Washer Method
       Cylindrical Shell Method
       Difference of Shells Formula
       Cross-Section Formula (Slicing Formula)
       Solved Problems
       Supplementary Problems
    Chapter 31 Techniques of Integration I: Integration by Parts
       Solved Problems
       Supplementary Problems
    Chapter 32 Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions
       Trigonometric Integrands
       Trigonometric Substitutions
       Solved Problems
       Supplementary Problems
    Chapter 33 Techniques of Integration III: Integration by Partial Fractions
       Method of Partial Fractions
       Solved Problems
       Supplementary Problems
    Chapter 34 Techniques of Integration IV: Miscellaneous Substitutions
       Solved Problems
       Supplementary Problems
    Chapter 35 Improper Integrals
       Infinite Limits of Integration
       Discontinuities of the Integrand
       Solved Problems
       Supplementary Problems
    Chapter 36 Applications of Integration III: Area of a Surface of Revolution
       Solved Problems
       Supplementary Problems
    Chapter 37 Parametric Representation of Curves
       Parametric Equations
       Arc Length for a Parametric Curve
       Solved Problems
       Supplementary Problems
    Chapter 38 Curvature
       Derivative of Arc Length
       Curvature
       The Radius of Curvature
       The Circle of Curvature
       The Center of Curvature
       The Evolute
       Solved Problems
       Supplementary Problems
    Chapter 39 Plane Vectors
       Scalars and Vectors
       Sum and Difference of Two Vectors
       Components of a Vector
       Scalar Product (or Dot Product)
       Scalar and Vector Projections
       Differentiation of Vector Functions
       Solved Problems
       Supplementary Problems
    Chapter 40 Curvilinear Motion
       Velocity in Curvilinear Motion
       Acceleration in Curvilinear Motion
       Tangential and Normal Components of Acceleration
       Solved Problems
       Supplementary Problems
    Chapter 41 Polar Coordinates
       Polar and Rectangular Coordinates
       Some Typical Polar Curves
       Angle of Inclination
       Points of Intersection
       Angle of Intersection
       The Derivative of the Arc Length
       Curvature
       Solved Problems
       Supplementary Problems
    Chapter 42 Infinite Sequences
       Infinite Sequences
       Limit of a Sequence
       Monotonic Sequences
       Solved Problems
       Supplementary Problems
    Chapter 43 Infinite Series
       Geometric Series
       Solved Problems
       Supplementary Problems
    Chapter 44 Series with Positive Terms. The Integral Test. Comparison Tests.
       Series of Positive Terms
       Solved Problems
       Supplementary Problems
    Chapter 45 Alternating Series. Absolute and Conditional Convergence. The Ratio Test.
       Alternating Series
       Definition
       Solved Problems
       Supplementary Problems
    Chapter 46 Power Series
       Power Series
       Uniform Convergence
       Solved Problems
       Supplementary Problems
    Chapter 47 Taylor and Maclaurin Series. Taylor's Formula with Remainder.
       Taylor and Maclaurin Series
       Applications of Taylor's Formula with Remainder
       Solved Problems
       Supplementary Problems
    Chapter 48 Partial Derivatives
       Functions of Several Variables
       Limits
       Continuity
       Partial Derivatives
       Partial Derivatives of Higher Order
       Solved Problems
       Supplementary Problems
    Chapter 49 Total Differential. Differentiability. Chain Rules.
       Total Differential
       Differentiability
       Chain Rules
       Chain Rule (2 ¿ 1)
       Chain Rule (2 ¿ 2)
       Implicit Differentiation
       Solved Problems
       Supplementary Problems
    Chapter 50 Space Vectors
       Vectors in Space
       Direction Cosines of a Vector
       Determinants
       Vector Perpendicular to Two Vectors
       Vector Product of Two Vectors
       Triple Scalar Product
       The Straight Line
       The Plane
       Solved Problems
       Supplem entary Problems
    Chapter 51 Surfaces and Curves in Space
       Planes
       Spheres
       Cylindrical Surfaces
       Ellipsoid
       Elliptic Paraboloid
       Elliptic Cone
       Hyperbolic Paraboloid
       Hyperboloid of One Sheet
       Hyperboloid of Two Sheets
       Tangent Line and Normal Plane to a Space Curve
       Tangent Plane and Normal Line to a Surface
       Surface of Revolution
       Solved Problems
       Supplementary Problems
    Chapter 52 Directional Derivatives. Maximum and Minimum Values.
       Directional Derivatives
       Relative Maximum and Minimum Values
       Absolute Maximum and Minimum Values
       Solved Problems
       Supplementary Problems
    Chapter 53 Vector Differentiation and Integration
       Vector Differentiation
       Space Curves
       Surfaces
       The Operation ¿
       Divergence and Curl
       Integration
       Line Integrals
       Solved Problems
       Supplementary Problems
    Chapter 54 Double and Iterated Integrals
       The Double Integral
       The Iterated Integral
       Solved Problems
       Supplementary Problems
    Chapter 55 Centroids and Moments of Inertia of Plane Areas
       Plane Area by Double Integration
       Centroids
       Moments of Inertia
       Solved Problems
       Supplementary Problems
    Chapter 56 Double Integration Applied to Volume Under a Surface and the Area of a Curved Surface
       Solved Problems
       Supplementary Problems
    Chapter 57 Triple Integrals
       Cylindrical and Spherical Coordinates
       The Triple Integral
       Evaluation of Triple Integrals
       Centroids and Moments of Inertia
       Solved Problems
       Supplementary Problems
    Chapter 58 Masses of Variable Density
       Solved Problems
       Supplementary Problems
    Chapter 59 Differential Equations of First and Second Order
       Separable Differential Equations
       Homogeneous Functions
       Integrating Factors
       Second-Order Equations
       Solved Problems
       Supplementary Problems
    Appendix A Trigonometric Formulas
    Appendix B Geometric Formulas
    Index