A complex analysis book with a lot of exercises?
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
I am an undergrad student and this semester I took a complex analysis course. can anyone recommend $mathbf a complex analysis book with a lot of exercises?$ I read Ahlfors's and Joseph Back's books but they only have a little number of exercises.
Course Content:
The Complex Plane:
Complex Numbers,
Topology of the Complex Plane.Complex Functions:
Limits and Continuity,
Analytic Functions,
Cauchy-Riemann Equations,
Harmonic Functions,
Elementary Transcendental Functions.Complex Integration:
Complex-valued functions of real variables,
Complex Line Integrals,
Cauchy-Goursat Theorem,
Cauchy Integral Formula,
The Mean Value Property and the Maximum Modulus Principle.Power Series:
Series of Complex Numbers,
Uniform Convergence,
Power Series,
Power Series Expansion of an Analytic Function,
The Zeros of an Analytic Function.Laurent Series and Isolated Singularities:
Laurent Series,
Isolated Singularities of Analytic Functions
complex-analysis reference-request soft-question book-recommendation
edited Sep 6 at 5:58
Anik Bhowmick
490417
asked Sep 6 at 5:09
thomson
15910
 |Â
show 3 more comments
up vote
0
down vote
favorite
I am an undergrad student and this semester I took a complex analysis course. can anyone recommend $mathbf a complex analysis book with a lot of exercises?$ I read Ahlfors's and Joseph Back's books but they only have a little number of exercises.
Course Content:
The Complex Plane:
Complex Numbers,
Topology of the Complex Plane.Complex Functions:
Limits and Continuity,
Analytic Functions,
Cauchy-Riemann Equations,
Harmonic Functions,
Elementary Transcendental Functions.Complex Integration:
Complex-valued functions of real variables,
Complex Line Integrals,
Cauchy-Goursat Theorem,
Cauchy Integral Formula,
The Mean Value Property and the Maximum Modulus Principle.Power Series:
Series of Complex Numbers,
Uniform Convergence,
Power Series,
Power Series Expansion of an Analytic Function,
The Zeros of an Analytic Function.Laurent Series and Isolated Singularities:
Laurent Series,
Isolated Singularities of Analytic Functions
complex-analysis reference-request soft-question book-recommendation
edited Sep 6 at 5:58
Anik Bhowmick
490417
asked Sep 6 at 5:09
thomson
15910
1
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
1
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
1
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
1
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
2
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29
 |Â
show 3 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am an undergrad student and this semester I took a complex analysis course. can anyone recommend $mathbf a complex analysis book with a lot of exercises?$ I read Ahlfors's and Joseph Back's books but they only have a little number of exercises.
Course Content:
The Complex Plane:
Complex Numbers,
Topology of the Complex Plane.Complex Functions:
Limits and Continuity,
Analytic Functions,
Cauchy-Riemann Equations,
Harmonic Functions,
Elementary Transcendental Functions.Complex Integration:
Complex-valued functions of real variables,
Complex Line Integrals,
Cauchy-Goursat Theorem,
Cauchy Integral Formula,
The Mean Value Property and the Maximum Modulus Principle.Power Series:
Series of Complex Numbers,
Uniform Convergence,
Power Series,
Power Series Expansion of an Analytic Function,
The Zeros of an Analytic Function.Laurent Series and Isolated Singularities:
Laurent Series,
Isolated Singularities of Analytic Functions
complex-analysis reference-request soft-question book-recommendation
edited Sep 6 at 5:58
Anik Bhowmick
490417
asked Sep 6 at 5:09
thomson
15910
I am an undergrad student and this semester I took a complex analysis course. can anyone recommend $mathbf a complex analysis book with a lot of exercises?$ I read Ahlfors's and Joseph Back's books but they only have a little number of exercises.
Course Content:
The Complex Plane:
Complex Numbers,
Topology of the Complex Plane.Complex Functions:
Limits and Continuity,
Analytic Functions,
Cauchy-Riemann Equations,
Harmonic Functions,
Elementary Transcendental Functions.Complex Integration:
Complex-valued functions of real variables,
Complex Line Integrals,
Cauchy-Goursat Theorem,
Cauchy Integral Formula,
The Mean Value Property and the Maximum Modulus Principle.Power Series:
Series of Complex Numbers,
Uniform Convergence,
Power Series,
Power Series Expansion of an Analytic Function,
The Zeros of an Analytic Function.Laurent Series and Isolated Singularities:
Laurent Series,
Isolated Singularities of Analytic Functions
complex-analysis reference-request soft-question book-recommendation
complex-analysis reference-request soft-question book-recommendation
edited Sep 6 at 5:58
Anik Bhowmick
490417
asked Sep 6 at 5:09
thomson
15910
edited Sep 6 at 5:58
Anik Bhowmick
490417
asked Sep 6 at 5:09
thomson
15910
edited Sep 6 at 5:58
Anik Bhowmick
490417
edited Sep 6 at 5:58
Anik Bhowmick
490417
edited Sep 6 at 5:58
Anik Bhowmick
490417
490417
asked Sep 6 at 5:09
thomson
15910
asked Sep 6 at 5:09
thomson
15910
asked Sep 6 at 5:09
thomson
15910
15910
1
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
1
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
1
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
1
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
2
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29
 |Â
show 3 more comments
1
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
1
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
1
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
1
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
2
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29
1
1
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
1
1
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
1
1
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
1
1
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
2
2
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29
 |Â
show 3 more comments
1 Answer
1
active
oldest
votes
up vote
2
down vote
Try
1) Complex variables and applications by J.W.Brown and R.V.Churchill
2) Foundations of complex analysis by S.Ponnusamy
Both book contains a lot of good exercise problems for grow up the knowledge!
answered Sep 6 at 6:23
LDM
541314
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
Try
1) Complex variables and applications by J.W.Brown and R.V.Churchill
2) Foundations of complex analysis by S.Ponnusamy
Both book contains a lot of good exercise problems for grow up the knowledge!
answered Sep 6 at 6:23
LDM
541314
add a comment |Â
up vote
2
down vote
Try
1) Complex variables and applications by J.W.Brown and R.V.Churchill
2) Foundations of complex analysis by S.Ponnusamy
Both book contains a lot of good exercise problems for grow up the knowledge!
answered Sep 6 at 6:23
LDM
541314
add a comment |Â
up vote
2
down vote
up vote
2
down vote
Try
1) Complex variables and applications by J.W.Brown and R.V.Churchill
2) Foundations of complex analysis by S.Ponnusamy
Both book contains a lot of good exercise problems for grow up the knowledge!
answered Sep 6 at 6:23
LDM
541314
Try
1) Complex variables and applications by J.W.Brown and R.V.Churchill
2) Foundations of complex analysis by S.Ponnusamy
Both book contains a lot of good exercise problems for grow up the knowledge!
answered Sep 6 at 6:23
LDM
541314
answered Sep 6 at 6:23
LDM
541314
answered Sep 6 at 6:23
LDM
541314
answered Sep 6 at 6:23
LDM
541314
541314
add a comment |Â
add a comment |Â
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2907112%2fa-complex-analysis-book-with-a-lot-of-exercises%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
1
Maybe you can read E.M.Stein's book: complex analysis.
– Tinzoe-Yui
Sep 6 at 5:14
1
I have used Daniel Alpay's A complex Analysis Problem Book. Maybe you could take a look at it.
– xbh
Sep 6 at 5:18
1
Hi - as an undergrad Priestley was standard (at several unis in the uk e.g. Cambridge). Has lots of exercises though in some sense presentation perhaps slightly more elementary. I read Ahlfors too at the time for another perspective and the two worked well together. Covers most - actually probably all of the above (been a while!) as well as some topics like Fourier / Laplace transforms.
– Mehness
Sep 6 at 5:28
1
I seem to remember that Churchill (now Brown and Churchill) has lots of exercises. Maybe you can take a look inside it on amazon. But buy a cheap used copy. The text material will be pretty simple for someone who's read Alfors.
– saulspatz
Sep 6 at 5:28
2
Brown and Churchill is the best one.
– Emma
Sep 6 at 5:29