Modules / Lectures

Sl.No Chapter Name English
1IntroductionPDF unavailable
2Introduction to Complex NumbersPDF unavailable
3de Moivre’s Formula and Stereographic ProjectionPDF unavailable
4Topology of the Complex Plane Part-IPDF unavailable
5Topology of the Complex Plane Part-IIPDF unavailable
6Topology of the Complex Plane Part-IIIPDF unavailable
7Introduction to Complex FunctionsPDF unavailable
8Limits and ContinuityPDF unavailable
9DifferentiationPDF unavailable
10Cauchy-Riemann Equations and DifferentiabilityPDF unavailable
11Analytic functions; the exponential functionPDF unavailable
12Sine, Cosine and Harmonic functionsPDF unavailable
13Branches of Multifunctions; Hyperbolic FunctionsPDF unavailable
14Problem Solving Session IPDF unavailable
15Integration and ContoursPDF unavailable
16Contour IntegrationPDF unavailable
17Introduction to Cauchy’s TheoremPDF unavailable
18Cauchy’s Theorem for a RectanglePDF unavailable
19Cauchy’s theorem Part - IIPDF unavailable
20Cauchy’s Theorem Part - IIIPDF unavailable
21Cauchy’s Integral Formula and its ConsequencesPDF unavailable
22The First and Second Derivatives of Analytic FunctionsPDF unavailable
23Morera’s Theorem and Higher Order Derivatives of Analytic FunctionsPDF unavailable
24Problem Solving Session IIPDF unavailable
25Introduction to Complex Power SeriesPDF unavailable
26Analyticity of Power SeriesPDF unavailable
27Taylor’s TheoremPDF unavailable
28Zeroes of Analytic FunctionsPDF unavailable
29Counting the Zeroes of Analytic FunctionsPDF unavailable
30Open mapping theorem – Part IPDF unavailable
31Open mapping theorem – Part IIPDF unavailable
32Properties of Mobius Transformations Part IPDF unavailable
33Properties of Mobius Transformations Part IIPDF unavailable
34Problem Solving Session IIIPDF unavailable
35Removable SingularitiesPDF unavailable
36Poles Classification of Isolated SingularitiesPDF unavailable
37Essential Singularity & Introduction to Laurent SeriesPDF unavailable
38Laurent’s TheoremPDF unavailable
39Residue Theorem and ApplicationsPDF unavailable
40Problem Solving Session IVPDF unavailable

Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available