Calculus TextBook
Bila butuh textbook Calculus, ’salah satu’-nya bisa Anda dapatkan disini. Gratis & dengan format file PDF lengkap. Judulnya : Calculus, by Professor Gilbert Strang.
Table of Content-nya :
01.Introduction to Calculus, pp. 1-43 : Velocity and Distance; Calculus Without Limits; The Velocity at an Instant; Circular Motion; A Review of Trigonometry; A Thousand Points of Light; Computing in Calculus. (PDF - 4.1 MB)
02.Derivatives, pp. 44-90 : The Derivative of a Function; Powers and Polynomials; The Slope and the Tangent Line; Derivative of the Sine and Cosine; The Product and Quotient and Power Rules; Limits; Continuous Functions. (PDF - 4.3 MB)
03: Applications of the Derivative, pp. 91-153 : Linear Approximation; Maximum and Minimum Problems; Second Derivatives:Minimum vs Maximum; Graphs; Ellipses, Parabolas, and Hyperbolas; Iterations x[n+1] = F(x[n]); Newton’s Method and Chaos; The Mean Value Theorem and l’Hopital’s Rule. (PDF - 5.9 MB)
04.The Chain Rule, pp. 154-176 : Derivatives by the Charin Rule; Implicit Differentiation and Related Rates; Inverse Functions and Their Derivatives; Inverses of Trigonometric Functions. (PDF - 2.0 MB)
05.Integrals, pp. 177-227 : The Idea of an Integral; Antiderivatives; Summation vs. Integration; Indefinite Integrals and Substitutions; The Definite Integral; Properties of the Integral and the Average Value; The Fundamental Theorem and Its Consequences; Numerical Integration. (PDF - 4.8 MB)
06.Exponentials and Logarithms, pp. 228-282 : An Overview; The Exponential e^x; Growth and Decay in Science and Economics; Logarithms; Separable Equations Including the Logistic Equation; Powers Instead of Exponentials; Hyperbolic Functions. (PDF - 4.9 MB)
07.Techniques of Integration, pp. 283-310 : Integration by Parts; Trigonometric Integrals; Trigonometric Substitutions; Partial Fractions; Improper Integrals. (PDF - 2.6 MB)
08.Applications of the Integral, pp. 311-347 : Areas and Volumes by Slices; Length of a Plane Curve; Area of a Surface of Revolution; Probability and Calculus; Masses and Moments; Force, Work, and Energy. (PDF - 3.4 MB)
09.Polar Coordinates and Complex Numbers, pp. 348-367 : Polar Coordinates; Polar Equations and Graphs; Slope, Length, and Area for Polar Curves; Complex Numbers. (PDF - 1.7 MB)
10.Infinite Series, pp. 368-391 : The Geometric Series; Convergence Tests: Positive Series; Convergence Tests: All Series; The Taylor Series for e^x, sin x, and cos x; Power Series. (PDF - 2.9 MB)
11.Vectors and Matrices, pp. 398-445 : Vectors and Dot Products; Planes and Projections; Cross Products and Determinants; Matrices and Linear Equations; Linear Algebra in Three Dimensions. (PDF - 4.0 MB)
12.Motion along a Curve, pp. 446-471 : The Position Vector; Plane Motion: Projectiles and Cycloids; Tangent Vector and Normal Vector; Polar Coordinates and Planetary Motion. (PDF - 2.2 MB)
13.Partial Derivatives, pp. 472-520 : Surface and Level Curves; Partial Derivatives; Tangent Planes and Linear Approximations; Directional Derivatives and Gradients; The Chain Rule; Maxima, Minima, and Saddle Points; Constraints and Lagrange Multipliers. (PDF - 4.9 MB)
14.Multiple Integrals, pp. 521-548 : Double Integrals; Changing to Better Coordinates; Triple Integrals; Cylindrical and Spherical Coordinates. (PDF - 2.5 MB)
15.Vector Calculus, pp. 549-598 : Vector Fields; Line Integrals; Green’s Theorem; Surface Integrals; The Divergence Theorem; Stokes’ Theorem and the Curl of F. (PDF - 4.3 MB)
16.Mathematics after Calculus, pp. 599-615 : Linear Algebra; Differential Equations; Discrete Mathematics; (PDF - 1.8 MB).
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