000			02547nam a22002057a 4500
999			_c16018 _d16018
005			20200828115247.0
008			181119b ||||| |||| 00| 0 eng d
020			_a9780534378639
040			_cPK-IsLIS
082			_bSt491 _a515
100			_aStewart, James
245			_aMultivariable calculus : concepts and contexts _c/ James Stewart
250			_a2nd ed.
260			_aBelmont : _bThomson Brooks/Cole, _c2005
300			_axxiv, 990 p., Ind. A58
490			_aInfinite and Sequences Series _v1 volume
650			_aCalculus
942			_cBK
505	0		_aThe Integral and Comparison Tests; Estimating Sums. Other Convergence Tests. Power Series. Representation of Functions as Power Series. Taylor and Maclaurin Series. The Binomial Series. Applications of Taylor Polynomials. Review. Focus on Problem Solving. 9. VECTORS AND THE GEOMETRY OF SPACE. Three Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Functions and Surfaces. Cylindrical and Spherical Coordinates. Review. Focus on Problem Solving. 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space. Parametric Surfaces. Review. Focus on Problem Solving. 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Lagrange Multipliers. Review. Focus on Problem Solving. 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Interated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Triple Integrals in Cylindrical and Spherical Coordinates. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving. 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green's Theorem. Curl and Divergence. Surface Integrals. Stokes' Theorem. The Divergence Theorem. Summary. Review. Focus on Problem Solving. Appendix A: Intervals, Inequalities, And Absolute Values. Appendix B: Coordinate Geometry. Appendix C: Trigonometry. Appendix D: Precise Definitions Of Limits. Appendix E: A Few Proofs. Appendix F: Sigma Notation. Appendix G: Integration Of Rational Functions By Partial Fractions. Appendix H: Polar Coordinates. Appendix I: Complex Numbers. Appendix J: Answers To Odd-Numbered Exercises.