Logarithmic Function of a Complex Variable — Study Resources & PYQs
Logarithmic functions involving complex variables.
- Estimated study time: 30 minutes
Study resources
- Logarithm of a Complex Variable (Article) — Shows how inverse hyperbolic/complex expressions reduce to the natural logarithm of a complex variable, with branch-cut discussion.
- Complex Trigonometry / Logarithm (video) (Video) — Covers hyperbolic & inverse-hyperbolic functions of a complex variable and the logarithmic function of a complex variable within the full course.
- MIT OpenCourseWare — Multivariable Calculus (Article) — MIT multivariable-calculus materials covering partial derivatives, homogeneous-function ideas, Taylor expansions, extrema and Lagrange multipliers.
- MIT OpenCourseWare — Linear Algebra (Article) — MIT linear-algebra materials covering matrices, rank, elementary operations, eigenvalues/eigenvectors, Cayley-Hamilton-related concepts and diagonalization.
Logarithmic Function of a Complex Variable previous year questions
- (a) Prove that $\tan\left[i \log \left(\frac{a-ib}{a+ib}\right)\right] = \frac{2ab}{a^2 - b^2}$. (b) Sum to $n$ terms and to infinity the following series: $$1…
- (a) Express $\cosh z$ into real and imaginary parts. (b) Express $\log(\sqrt{3} + i)$ into real and imaginary parts. (c) Sum the series to infinity : $\sin \al…
Taught in these subjects
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-1 — BMAT11 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BMAT11 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-I — BST1101 · Government College of Engineering and Technology, Jammu