# Complex Analysis: A First Course with Applications 3rd edition

Dennis G. Zill and Patrick D. Shanahan
Publisher: Jones and Bartlett Learning

## eBook

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Complex Numbers and the Complex Plane
• 1.1: Complex Numbers and Their Properties (7)
• 1.2: Complex Plane (7)
• 1.3: Polar Form of Complex Numbers (5)
• 1.4: Powers and Roots (5)
• 1.5: Sets of Points in the Complex Plane (6)
• 1.6: Applications (3)
• 1: Review Quiz (6)

• Chapter 2: Complex Functions and Mappings
• 2.1: Complex Functions (8)
• 2.2: Complex Functions as Mappings (6)
• 2.3: Linear Mappings (7)
• 2.4: Special Power Functions (5)
• 2.5: Reciprocal Function (4)
• 2.6: Applications (3)
• 2: Review Quiz (3)

• Chapter 3: Analytic Functions
• 3.1: Limits and Continuity (8)
• 3.2: Differentiability and Analyticity (6)
• 3.3: Cauchy-Riemann Equations (4)
• 3.4: Harmonic Functions (4)
• 3.5: Applications (2)
• 3: Review Quiz (4)

• Chapter 4: Elementary Functions
• 4.1: Exponential and Logarithmic Functions (8)
• 4.2: Complex Powers (4)
• 4.3: Trigonometric and Hyperbolic Functions (8)
• 4.4: Inverse Trigonometric and Hyperbolic Functions (6)
• 4.5: Applications
• 4: Review Quiz (7)

• Chapter 5: Integration in the Complex Plane
• 5.1: Real Integrals (6)
• 5.2: Complex Integrals (5)
• 5.3: Cauchy-Goursat Theorem (4)
• 5.4: Independence of Path (5)
• 5.5: Cauchy's Integral Formulas and Their Consequences (5)
• 5.6: Applications (5)
• 5: Review Quiz (11)

• Chapter 6: Series and Residues
• 6.1: Sequences and Series (4)
• 6.2: Taylor Series (6)
• 6.3: Laurent Series (5)
• 6.4: Zeros and Poles (4)
• 6.5: Residues and Residue Theorem (5)
• 6.6: Some Consequences of the Residue Theorem (10)
• 6.7: Applications (3)
• 6: Review Quiz (3)

• Chapter 7: Conformal Mappings
• 7.1: Conformal Mapping (3)
• 7.2: Linear Fractional Transformations (5)
• 7.3: Schwarz-Christoffel Transformations (4)
• 7.4: Poisson Integral Formulas (2)
• 7.5: Applications (2)
• 7: Review Quiz (2)

Complex Analysis: A First Course with Applications, by Dennis G. Zill and Patrick D. Shanahan, is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. The WebAssign component provides students with instant question feedback and links to the appropriate section of an eBook.

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 1: Complex Numbers and the Complex Plane
1.R 6 006 024 026 031 032 036
1.1 7 002a 007 013 023 029 037 043
1.2 7 005 011 013 015 022 024 031
1.3 5 003 017 019 025 035
1.4 5 001 006 011 017 026
1.5 6 004 005 015 020 022 032
1.6 3 009 013 019
Chapter 2: Complex Functions and Mappings
2.R 3 010 021 029
2.1 8 001 007 011 013 016 019 024 037
2.2 6 003 006 009 013 018 022
2.3 7 001 003 006 009 012 025 028
2.4 5 003 022 027 035 051
2.5 4 001 009 011 016
2.6 3 003 011 022
Chapter 3: Analytic Functions
3.R 4 001 024 027 031
3.1 8 001 011 016 021 023 030 038 058
3.2 6 011 013 015 017 025 027
3.3 4 001 007 017 024
3.4 4 003 011 015 017
3.5 2 006 011
Chapter 4: Elementary Functions
4.R 7 001 012 019 023 024 026 035
4.1 8 001 007 010 016 023 027 035 046
4.2 4 002 009 012 016
4.3 8 002 005 010 018 024 026 033 038
4.4 6 001 004 006 009 011 015
Chapter 5: Integration in the Complex Plane
5.R 11 003 008 009 010 011 012 025 032 033 034 037
5.1 6 003 005 007 011 018 027
5.2 5 001 008 015 018 022
5.3 4 009 011 017 025
5.4 5 003 006 011 021 025
5.5 5 001 009 012 017 021
5.6 5 001 005 010 013 025
Chapter 6: Series and Residues
6.R 3 007 023 038
6.1 4 001 016 019 023
6.2 6 002 010 017 026 027 037
6.3 5 001 005 007 013 022
6.4 4 005 013 015 022
6.5 5 001 007 018 025 030
6.6 10 003 007 011 012 015 022 026 031 060 070
6.7 3 003 010 019
Chapter 7: Conformal Mappings
7.R 2 016 021
7.1 3 001 004 015
7.2 5 001 005 017 021 025
7.3 4 001 008 009 011
7.4 2 001 007
7.5 2 012 014
Total 235