Book 3

Functions of Several Variables

[2038/49%]

L. D. Kudryavtsev, A. D. Kutasov, V. I. Chekhlov, M. I. Shabunin

Chapter 3.1Differential Calculus of Functions of Several Variables[507/73%]

Section 3.1Various Types of Sets in

n

-Dimensional Space[83/30%]

Section 3.2Functions of Several Variables. Limit and Continuity of Several Variables. Mappings[112/71%]

Section 3.3Partial Derivatives. The Differential of a Function of Several Variables. Differentiable Mappings[111/79%]

Section 3.4Higher-Order Partial Derivatives and Differentials. Taylor's Formula and Taylor Series[86/84%]

Section 3.5Extrema of Functions[62/97%]

Section 3.6Geometric Applications[53/87%]

Chapter 3.2Multiple, Curvilinear, and Surface Integrals[766/62%]

Section 3.7Jordan Measure. Measurable Sets[77/3%]

Section 3.8The Multiple Riemann Integral and Its Properties[258/48%]

Section 3.9Geometric and Physical Applications of Multiple Integrals[101/86%]

Section 3.10Curvilinear Integrals[126/94%]

Section 3.11Surface Integrals[72/92%]

Section 3.12Scalar and Vector Fields[132/58%]

Chapter 3.3Integrals Depending on a Parameter. Fourier Integral. Fourier Transform[125/47%]

Section 3.13Proper Integrals Depending on a Parameter[34/50%]

Section 3.14Uniform Convergence of Improper Integrals Depending on a Parameter[25/24%]

Section 3.15Differentiation and Integration with Respect to a Parameter of Improper Integrals[29/48%]

Section 3.16Euler Integrals and Some Other Integrals[20/60%]

Section 3.17Fourier Integral. Fourier Transform[17/59%]

Chapter 3.4Introduction to Functional Analysis[640/13%]

Section 3.18Metric Spaces[210/20%]

Section 3.19Normed and Seminormed Spaces[207/8%]

Section 3.20Hilbert Spaces[105/9%]

Section 3.21Topological Spaces. Generalized Functions[118/15%]