Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Back in 1948, the journal Physical Review published a paper entitled “Space-Time Approach to Quantum Electrodynamics” by a young physicist named R.P. Feynman at Cornell University. The paper described ...

Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

Applications of Fréchet derivative emerge in the sensitivity analysis of matrix functions. Our work extends the generalized complex step approximation using the complex computation f(A + eiθhE) as a ...

This is a preview. Log in through your library . Abstract This paper presents a study of instructors' and students' perceptions of the knowledge to be learned about limits of functions in a college ...