Description
Copy-and-go complex analysis for Undergraduate Complex Analysis (also suitable for strong Grade 12/IB enrichment). The workbook is organized into 12 concise chapters that follow a tight cycle—short lesson notes, Solved Exercises, then aligned Practice—and closes with a consolidated Answer Key for rapid feedback and reteach. Sequencing covers the core first-course arc: complex numbers and the Argand plane; complex functions with limits/continuity; differentiability via Cauchy–Riemann equations and harmonicity; elementary analytic families (exponential, logarithm, trigonometric); contour integration with the ML-estimate and primitives; Cauchy’s Theorem and Cauchy’s Integral Formula (including higher derivatives); power/Taylor series; Laurent series and isolated singularities; residues and the Residue Theorem; conformal mappings/Möbius transformations; harmonic functions and boundary-value ideas; and applications to real integrals and potential/flow. Layout is clean and print-ready for copies or digital annotation. Use full chapters for weekly sets, or pull targeted item clusters for tutorials, recitations, or exam prep. Students see a definition/theorem, study a model, and practice immediately—tight loops that build proof fluency, computational skill, and estimation.
Topics Covered (content)
Complex numbers/plane; functions, limits, continuity; Cauchy–Riemann and harmonic functions; (e^z), Log, trig; contour integration and ML bound; Cauchy’s Theorem & Integral Formula; power/Taylor series; Laurent series & singularities; residues & Residue Theorem; conformal maps/Möbius transforms; harmonic functions/Dirichlet ideas; applications to real integrals and fluid/electrostatic models.
Included Features
• Lesson notes → Solved Exercises → Practice in every chapter
• End-of-book Answer Key covering all exercises
• Mix of proofs, computations, counterexamples, and estimates
• Print-ready PDF with consistent spacing for quick grading/annotation.
Perfect for
• Undergraduate Complex Analysis; Grade 12/IB enrichment/bridge
• University tutorials/recitations, tutoring centers, olympiad foundations
• Weekly problem sets, targeted reteach, and midterm/final review.
Highlights
Description
Copy-and-go complex analysis for Undergraduate Complex Analysis (also suitable for strong Grade 12/IB enrichment). The workbook is organized into 12 concise chapters that follow a tight cycle—short lesson notes, Solved Exercises, then aligned Practice—and closes with a consolidated Answer Key for rapid feedback and reteach. Sequencing covers the core first-course arc: complex numbers and the Argand plane; complex functions with limits/continuity; differentiability via Cauchy–Riemann equations and harmonicity; elementary analytic families (exponential, logarithm, trigonometric); contour integration with the ML-estimate and primitives; Cauchy’s Theorem and Cauchy’s Integral Formula (including higher derivatives); power/Taylor series; Laurent series and isolated singularities; residues and the Residue Theorem; conformal mappings/Möbius transformations; harmonic functions and boundary-value ideas; and applications to real integrals and potential/flow. Layout is clean and print-ready for copies or digital annotation. Use full chapters for weekly sets, or pull targeted item clusters for tutorials, recitations, or exam prep. Students see a definition/theorem, study a model, and practice immediately—tight loops that build proof fluency, computational skill, and estimation.
Topics Covered (content)
Complex numbers/plane; functions, limits, continuity; Cauchy–Riemann and harmonic functions; (e^z), Log, trig; contour integration and ML bound; Cauchy’s Theorem & Integral Formula; power/Taylor series; Laurent series & singularities; residues & Residue Theorem; conformal maps/Möbius transforms; harmonic functions/Dirichlet ideas; applications to real integrals and fluid/electrostatic models.
Included Features
• Lesson notes → Solved Exercises → Practice in every chapter
• End-of-book Answer Key covering all exercises
• Mix of proofs, computations, counterexamples, and estimates
• Print-ready PDF with consistent spacing for quick grading/annotation.
Perfect for
• Undergraduate Complex Analysis; Grade 12/IB enrichment/bridge
• University tutorials/recitations, tutoring centers, olympiad foundations
• Weekly problem sets, targeted reteach, and midterm/final review.
