The counterexamples presented here are the first of this kind for notions of differentiability that satisfy a chain rule. Their context arises naturally from requiring differentiability of crucial ...

We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector ...

Abstract: We construct a domain-theoretic calculus for Lipschitz and differentiate functions, which includes addition, subtraction and composition. We then develop a domain-theoretic version of the ...

***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content*** Prerequisites: MATH 2318 and MATH 3333, or ...

Abstract: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...

***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content*** Prerequisites: MATH 2318 and MATH 3333 (or ...

ABSTRACT: This paper presents the way to make expansion for the next form function: to the numerical series. The most widely used methods to solve this problem are Newtons Binomial Theorem and ...

Maths Inverse Trigonometric Functions Formulas: Calculus is one of the most important topics in mathematics. The CBSE Class 11 and 12 introduce students to many advanced concepts in calculus. Nearly ...