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From: Paul on 6 Jun 2010 17:08
Below is from an Amazon review of this complex analysis book which I
am considering buying

"Note: theorems of Picard and Mittag-Leffler are not proved in the
textbook - they are actually assigned as exercises for the reader to
prove). If you need the proofs of these theorems, look them up
elsewhere."

Does anyone know how easy or difficult these exercises are? Is the
reader guided towards the proof by a series of clearly demarcated
steps, each one of which is a routine exercise?

Any other comments on the proofs in the text of these two theorems?

I'm looking for a complex-analysis book to read. My aim is really to
acquire/reacquire interesting knowledge that I learned or should have
learned a long time ago. I've done a Masters degree in maths but that
was a while ago.

(And yes, I'm aware of David Ullrich's book. It sounds excellent, but
I haven't bought or read it yet.)

Paul Epstein
From: José Carlos Santos on 6 Jun 2010 17:19
On 06-06-2010 22:08, Paul wrote:

> Below is from an Amazon review of this complex analysis book which I
> am considering buying
>
> "Note: theorems of Picard and Mittag-Leffler are not proved in the
> textbook - they are actually assigned as exercises for the reader to
> prove). If you need the proofs of these theorems, look them up
> elsewhere."
>
> Does anyone know how easy or difficult these exercises are? Is the
> reader guided towards the proof by a series of clearly demarcated
> steps, each one of which is a routine exercise?
>
> Any other comments on the proofs in the text of these two theorems?
>
> I'm looking for a complex-analysis book to read. My aim is really to
> acquire/reacquire interesting knowledge that I learned or should have
> learned a long time ago. I've done a Masters degree in maths but that
> was a while ago.
>
> (And yes, I'm aware of David Ullrich's book. It sounds excellent, but
> I haven't bought or read it yet.)

It *is* excellent. And it contains proofs of the Picard theorems and of
the Mittag-Leffler theorem.

Best regards,

Jose Carlos Santos
From: rancid moth on 6 Jun 2010 18:13


"Paul" <pauldepstein(a)yahoo.com> wrote in message
news:fa6447e4-26af-4958-87c0-ffa929c3954c(a)e5g2000yqn.googlegroups.com...
> Below is from an Amazon review of this complex analysis book which I
> am considering buying
>
> "Note: theorems of Picard and Mittag-Leffler are not proved in the
> textbook - they are actually assigned as exercises for the reader to
> prove). If you need the proofs of these theorems, look them up
> elsewhere."
>
> Does anyone know how easy or difficult these exercises are? Is the
> reader guided towards the proof by a series of clearly demarcated
> steps, each one of which is a routine exercise?
>
> Any other comments on the proofs in the text of these two theorems?
>
> I'm looking for a complex-analysis book to read. My aim is really to
> acquire/reacquire interesting knowledge that I learned or should have
> learned a long time ago. I've done a Masters degree in maths but that
> was a while ago.
>
> (And yes, I'm aware of David Ullrich's book. It sounds excellent, but
> I haven't bought or read it yet.)
>
> Paul Epstein

you may want to consider "Theory of Functions of a Complex Variable" by
Markushevich.

From: David C. Ullrich on 7 Jun 2010 11:19
On Sun, 06 Jun 2010 22:19:47 +0100, Jos� Carlos Santos
<jcsantos(a)fc.up.pt> wrote:

>On 06-06-2010 22:08, Paul wrote:
>
>> Below is from an Amazon review of this complex analysis book which I
>> am considering buying
>>
>> "Note: theorems of Picard and Mittag-Leffler are not proved in the
>> textbook - they are actually assigned as exercises for the reader to
>> prove). If you need the proofs of these theorems, look them up
>> elsewhere."
>>
>> Does anyone know how easy or difficult these exercises are? Is the
>> reader guided towards the proof by a series of clearly demarcated
>> steps, each one of which is a routine exercise?
>>
>> Any other comments on the proofs in the text of these two theorems?
>>
>> I'm looking for a complex-analysis book to read. My aim is really to
>> acquire/reacquire interesting knowledge that I learned or should have
>> learned a long time ago. I've done a Masters degree in maths but that
>> was a while ago.
>>
>> (And yes, I'm aware of David Ullrich's book. It sounds excellent, but
>> I haven't bought or read it yet.)
>
>It *is* excellent. And it contains proofs of the Picard theorems and of
>the Mittag-Leffler theorem.

Heh - good answer. To make this more useful to search engines,
etc, we should work the title "Complex Made Simple" in somehow...

>Best regards,
>
>Jose Carlos Santos

From: Paul on 7 Jun 2010 16:22
On Jun 7, 4:19 pm, David C. Ullrich <ullr...(a)math.okstate.edu> wrote:
> On Sun, 06 Jun 2010 22:19:47 +0100, José Carlos Santos
>
>
>
>
>
> <jcsan...(a)fc.up.pt> wrote:
> >On 06-06-2010 22:08, Paul wrote:
>
> >> Below is from an Amazon review of this complex analysis book which I
> >> am considering buying
>
> >> "Note: theorems of Picard and Mittag-Leffler are not proved in the
> >> textbook - they are actually assigned as exercises for the reader to
> >> prove). If you need the proofs of these theorems, look them up
> >> elsewhere."
>
> >> Does anyone know how easy or difficult these exercises are?  Is the
> >> reader guided towards the proof by a series of clearly demarcated
> >> steps, each one of which is a routine exercise?
>
> >> Any other comments on the proofs in the text of these two theorems?
>
> >> I'm looking for a complex-analysis book to read.  My aim is really to
> >> acquire/reacquire interesting knowledge that I learned or should have
> >> learned a long time ago.  I've done a Masters degree in maths but that
> >> was a while ago.
>
> >> (And yes, I'm aware of David Ullrich's book.  It sounds excellent, but
> >> I haven't bought or read it yet.)
>
> >It *is* excellent. And it contains proofs of the Picard theorems and of
> >the Mittag-Leffler theorem.
>
> Heh - good answer. To make this more useful to search engines,
> etc, we should work the title "Complex Made Simple" in somehow...
>
>
>
> >Best regards,
>
> >Jose Carlos Santos- Hide quoted text -
>
> - Show quoted text -- Hide quoted text -
>
> - Show quoted text -

Well, the more I sample your book (using books.google etc), the more I
like it.

This will be the next maths book I buy.

Paul Epstein
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