Complex Analysis
ବିଜ୍ଞାପନ ଅନ୍ତର୍ଭୂକ୍ତଆପ୍ ମଧ୍ୟରେ କ୍ରୟଗୁଡ଼ିକ
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ସମସ୍ତେ
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ଏହି ଆପ୍ ବିଷୟରେ
📚 Master Complex Analysis with this syllabus-based learning app for 2025-2026! Perfect for students of BS, MS, ADS, MSc, engineers, and exam aspirants, this app is designed to help you learn Complex Analysis quickly and effectively using MCQs, notes, quizzes and detailed topics.
✔ Complete Complex Analysis syllabus
✔ MCQs and quizzes for self-assessment
✔ Easy-to-understand explanations
✔ Exam-oriented content for quick learning
✔ Inspired by classical authors Lars Valerian Ahlfors, Walter Rudin, Murray Spiegel, James Ward Brown, Ruel V. Churchill, Johan B. Conway, Alice Chang, Rami Shakarchi, George F. Simmons, Theodore W. Gamelin, Elias M. Stein in Complex Analysis
📚 Units & Topics Included:
📗 Unit 1: Basic Concepts and Complex Numbers
1. Complex Number Definition and Operations
2. Properties of Conjugate
3. Modulus and Arguments
4. Polar Form
5. Triangular Inequality
6. Locus of Point
7. Function of a Complex Variable
8. Neighbourhood of a Point
9. Limit of a Function
10. Continuity of a Function
11. Differentiability of a Function
📘 Unit 2: Analytic or Regular or Holomorphic Function
1. Analytic Function Definition
2. Cauchy-Riemann Equations
3. Harmonic Function
4. Orthogonal Trajectories
📙 Unit 3: Elementary Transcendental Functions
1. Complex Exponential Function
2. Complex Logarithmic Function
3. Complex Trigonometric Functions
4. Complex Hyperbolic Functions
📕 Unit 4: Complex Integration
1. Basic Terminology (Locus, Curve)
2. Complex Equation of a Curve
3. Line Integrals
4. Cauchy’s Theorem
5. Cauchy Integral Formula
6. Theorem: ML-Inequality with Examples
📒 Unit 5: Power Series and Related Theorems
1. Power Series Definition
2. Convergent Power Series
3. Radius and Disc of Convergence
4. Taylor Series
5. Laurent Series
6. Abel’s Theorem
📓 Unit 6: Singularities and Calculus of Residue
1. Zero of a Function
2. Singularities (Removable, Pole, Essential)
3. Residue: Definition
4. Residue Theorem
5. Application of Residue Theorem
🎯 Why Choose This App?
This app is perfect for students looking to:
• Learn Complex Analysis 2025-2026
• Quick revision before exams
• Study Complex Numbers and related topics
• Access Complex Analysis Notes & MCQs
• Prepare effectively with topics inspired by top authors of complex analysis
📥 Download Now and master Complex Analysis easily while preparing for 2025-2026 exams!
✔ Complete Complex Analysis syllabus
✔ MCQs and quizzes for self-assessment
✔ Easy-to-understand explanations
✔ Exam-oriented content for quick learning
✔ Inspired by classical authors Lars Valerian Ahlfors, Walter Rudin, Murray Spiegel, James Ward Brown, Ruel V. Churchill, Johan B. Conway, Alice Chang, Rami Shakarchi, George F. Simmons, Theodore W. Gamelin, Elias M. Stein in Complex Analysis
📚 Units & Topics Included:
📗 Unit 1: Basic Concepts and Complex Numbers
1. Complex Number Definition and Operations
2. Properties of Conjugate
3. Modulus and Arguments
4. Polar Form
5. Triangular Inequality
6. Locus of Point
7. Function of a Complex Variable
8. Neighbourhood of a Point
9. Limit of a Function
10. Continuity of a Function
11. Differentiability of a Function
📘 Unit 2: Analytic or Regular or Holomorphic Function
1. Analytic Function Definition
2. Cauchy-Riemann Equations
3. Harmonic Function
4. Orthogonal Trajectories
📙 Unit 3: Elementary Transcendental Functions
1. Complex Exponential Function
2. Complex Logarithmic Function
3. Complex Trigonometric Functions
4. Complex Hyperbolic Functions
📕 Unit 4: Complex Integration
1. Basic Terminology (Locus, Curve)
2. Complex Equation of a Curve
3. Line Integrals
4. Cauchy’s Theorem
5. Cauchy Integral Formula
6. Theorem: ML-Inequality with Examples
📒 Unit 5: Power Series and Related Theorems
1. Power Series Definition
2. Convergent Power Series
3. Radius and Disc of Convergence
4. Taylor Series
5. Laurent Series
6. Abel’s Theorem
📓 Unit 6: Singularities and Calculus of Residue
1. Zero of a Function
2. Singularities (Removable, Pole, Essential)
3. Residue: Definition
4. Residue Theorem
5. Application of Residue Theorem
🎯 Why Choose This App?
This app is perfect for students looking to:
• Learn Complex Analysis 2025-2026
• Quick revision before exams
• Study Complex Numbers and related topics
• Access Complex Analysis Notes & MCQs
• Prepare effectively with topics inspired by top authors of complex analysis
📥 Download Now and master Complex Analysis easily while preparing for 2025-2026 exams!
ଗତ ଅପଡେଟର ସମୟ
ଡେଭେଲପରମାନେ ଆପଣଙ୍କ ଡାଟାକୁ କିପରି ସଂଗ୍ରହ ଏବଂ ସେୟାର କରନ୍ତି ସେହି ଧାରଣା ସହିତ ସୁରକ୍ଷା ଆରମ୍ଭ ହୁଏ। ଆପଣଙ୍କ ବ୍ୟବହାର, ଅଞ୍ଚଳ ଏବଂ ବୟସ ଆଧାରରେ, ଡାଟା ଗୋପନୀୟତା ଓ ସୁରକ୍ଷା ପ୍ରାକ୍ଟିସ ଭିନ୍ନ ହୋଇପାରେ। ଡେଭେଲପର ଏହି ସୂଚନା ପ୍ରଦାନ କରିଛନ୍ତି ଏବଂ ସେ ସମୟାନୁସାରେ ଏହାକୁ ଅପଡେଟ କରିପାରନ୍ତି।
ତୃତୀୟ ପକ୍ଷଗୁଡ଼ିକ ସହ କୌଣସି ଡାଟା ସେୟାର କରାଯାଇନାହିଁ
ଡେଭେଲପରମାନେ କିପରି ସେୟାରିଂର ଘୋଷଣା କରନ୍ତି ସେ ବିଷୟରେ ଅଧିକ ଜାଣନ୍ତୁ
କୌଣସି ଡାଟା ସଂଗ୍ରହ କରାଯାଇନାହିଁ
ଡେଭେଲପରମାନେ କିପରି ସଂଗ୍ରହର ଘୋଷଣା କରନ୍ତି ସେ ବିଷୟରେ ଅଧିକ ଜାଣନ୍ତୁ
ଟ୍ରାଞ୍ଜିଟ ସମୟରେ ଡାଟା ଏନକ୍ରିପ୍ଟ କରାଯାଇଥାଏ
ଡାଟା ଡିଲିଟ କରାଯାଇପାରିବ ନାହିଁ
ନୂଆ କଣ ଅଛି
✨Major improvements in Complex Analysis app!
✅ Horizontal view added for better reading experience
✅ Bookmark feature included for easy reference
✅ MCQs and course content enhanced for self-assessment
✅ App UI improved for smoother and faster usage
🚀This update transforms the previous version into a more advanced, user-friendly learning tool!
✅ Horizontal view added for better reading experience
✅ Bookmark feature included for easy reference
✅ MCQs and course content enhanced for self-assessment
✅ App UI improved for smoother and faster usage
🚀This update transforms the previous version into a more advanced, user-friendly learning tool!
ଆପ ସପୋର୍ଟ
ଡେଭେଲପରଙ୍କ ବିଷୟରେ
kamran Ahmed
kamahm707@gmail.com
Sheer Orah Post Office, Sheer Hafizabad, Pallandri, District Sudhnoti
Pallandri AJK, 12010
Pakistan
