Understanding calculus/

Bear, H. S.

Understanding calculus/ H.S. Bear. - 2nd ed. - Piscataway, NJ : Hoboken, N.J. : IEEE Press ; Wiley-Interscience, c2003. - xvii, 301 p. : ill. ; 26 cm.

Chapter 1: Lines. Chapter 2: Parabolas, Ellipses, Hyperbolas. Chapter 3: Differentiation. Chapter 4: Differentiation Formulas. Chapter 5: The Chain Rule. Chapter 6: Trigonometric Functions. Chapter 7: Exponential Functions and Logarithms. Chapter 8: Inverse Functions. Chapter 9: Derivatives and Graphs. Chapter 10: Following the Tangent Line.; Chapter 11: The Indefinite Integral. Chapter 12: The Definite Integral. Chapter 13: Work, Volume, and Force. Chapter 14: Parametric Equations. Chapter 15: Change of Variable. Chapter 16: Integrating Rational Functions. Chapter 17: Integrations by Parts. Chapter 18: Trigonometric Integrals. Chapter 19: Trigonometric Substitution. Chapter 20: Numerical Integration. Chapter 21: Limit At ∞; Sequences. Chapter 22: Improper Integrals. Chapter 23: Series. Chapter 24: Power Series. Chapter 25: Taylor Polynomials. Chapter 26: Taylor Series. Chapter 27: Separable Differential Equations. Chapter 28: First-Order Linear Equations. Chapter 29: Homogeneous Second-Order Linear Equations. Chapter 30: Nonhomogeneous Second-Order Equations. Chapter 31: Vectors. Chapter 32: The Dot Product. Chapter 33: Lines and Planes in Space. Chapter 34: Surfaces. Chapter 35: Partial Derivatives. Chapter 36: Tangent Plane and Differential Approximation. Chapter 37: Chain Rules. Chapter 38: Gradient and Directional Derivatives. Chapter 39: Maxima and Minima. Chapter 40: Double Integrals. Chapter 41: Line Integrals. Chapter 42: Green’s Theorem. Chapter 43: Exact Differentials.

0471433071


Calculus.

515 / BEA/U
SIKKIM UNIVERSITY
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