Functions on Euclidean Spaces Differential Calculus in Several Variables Integral Calculus in Several Variables Change of Variables Formula, Improper Multiple Integrals Line and Surface Integrals ...

We prove a generalization to several variables of Nevanlinna's theorem describing analytic functions that map the upper half-plane to itself and satisfy a growth condition. We use this to characterize ...

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About the bookThe book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

THE exposition of a mathematical subject in its early stages of development is apt to require a bulky volume; the appearance of this concise treatise, covering so much ground, would consequently ...

On this page you will find the listing of graduate course descriptions (selected). See course listings for current semester, here.

All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve ...

Given that several variables influence bipedalism across multiple behavioral contexts in chimpanzees, it is likely that the early evolution of human bipedalism occurred under the influence of numerous ...

In the present study, we explored multiple relationships among in-stream environmental variables, species diversity (species richness and species evenness), functional diversity (functional richness, ...