Course content This course gives an introduction to the theory of functions of one complex variable. Central themes in the course are analytic and harmonic functions and their properties, power series ...

Connect the abstract to the concrete. The moment you realise that an integral can represent area, profit, or accumulated carbon emissions, calculus gains purpose—and becomes far easier to retain.

Norman Miller, Discussions: A Corollary to Cauchy's Integral Formula, The American Mathematical Monthly, Vol. 35, No. 3 (Mar., 1928), pp. 134-136 ...

Formal proof of the Cauchy-Goursat Theorem in complex analysis, emphasizing clarity and geometric insight ...

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the ...

The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions ...

This paper analyzes the geometric quantities that remain unchanged during parallel mapping (i.e., mapping from a reference curved surface to a parallel surface with identical normal direction). The ...

Research Article Mathematics THE PLEMELJ FORMULAS WITH UNRESTRICTED APPROACH, AND THE CONTINUITY OF CAUCHY-TYPE INTEGRALS Frederick Bagemihl Authors Info & Affiliations May 15, 1966 55 (5) 1046-1048 ...

Contents Ch 2. Families of sets Ch 3. Measures Ch 4. Construction of measures Ch 5. Measurable functions Ch 6. The Lebesgue integral Ch 7. Limit theorems Ch 8. Properties of Lebesgue integrals Ch 9.