Sub plan three from nov.16th to Nov.22th
4 views
Skip to first unread message
Liu
Nov 15, 2009, 10:53:40 AM11/15/09
to maths learning
I intend to add some algebraic topology materials into my plan. From
about Nov. 16th to Nov. 22th there are two works to do.
The first one is the basics about field theory, about which I know
less than I should. In order to learn the theory later, the basic
field theory is needed. There several aspects here, including the
extensions of field, the field of fractions and so on. I plan to
finish these materials within a week. As for the textbook, any basic
textbook is just ok.
Another work is the learning of algebraic topology. Specifically, I
want to begin with the learning of CW complex, which is already a
general language in this field. Then I will read the first sections of
both Chapter 3 and chapter 4 of Allen Hatcher’s book: “Algebraic
Topology”. This book contains extensive materials. The best part is
that, the author provides free download of this book. I have already
uploaded it in this group.
If there isn’t anything in the way next week, I will learn Galois
theory and continue my study of topology.
about Nov. 16th to Nov. 22th there are two works to do.
The first one is the basics about field theory, about which I know
less than I should. In order to learn the theory later, the basic
field theory is needed. There several aspects here, including the
extensions of field, the field of fractions and so on. I plan to
finish these materials within a week. As for the textbook, any basic
textbook is just ok.
Another work is the learning of algebraic topology. Specifically, I
want to begin with the learning of CW complex, which is already a
general language in this field. Then I will read the first sections of
both Chapter 3 and chapter 4 of Allen Hatcher’s book: “Algebraic
Topology”. This book contains extensive materials. The best part is
that, the author provides free download of this book. I have already
uploaded it in this group.
If there isn’t anything in the way next week, I will learn Galois
theory and continue my study of topology.
Akhil Mathew
Nov 15, 2009, 11:01:33 AM11/15/09
to maths learning
I share your goal of learning algebraic topology, especially from
Hatcher's book. By the way, does anyone know any other sources that
might be useful? I have yet to find a topology book that I could
really learn from well. Hatcher at times is somewhat non-rigorous,
which for me makes it difficult to learn from independently. By
contrast ultra-rigorous books like Spanier don't show the geometry.
Hatcher's book. By the way, does anyone know any other sources that
might be useful? I have yet to find a topology book that I could
really learn from well. Hatcher at times is somewhat non-rigorous,
which for me makes it difficult to learn from independently. By
contrast ultra-rigorous books like Spanier don't show the geometry.
Haoyuan Li
Nov 15, 2009, 11:03:55 AM11/15/09
to maths-l...@googlegroups.com
What`s about the book Galois Theory written by the Emil Artin ? It just 90 pages . I hope is not to easy for the group . And I also want to read it .
--
Best,
Haoyuan
Which knot is a knot, which knot is not an unknot?
Mathematics & Applied Mathematics
Mathematics Department
Renmin University of China
59 Zhongguancun Street, Haidian District, Beijing 100872, China
2009/11/15 Liu <lxc...@gmail.com>
--
Best,
Haoyuan
Which knot is a knot, which knot is not an unknot?
Mathematics & Applied Mathematics
Mathematics Department
Renmin University of China
59 Zhongguancun Street, Haidian District, Beijing 100872, China
Liu Xiaochuan
Nov 15, 2009, 8:07:20 PM11/15/09
to maths-l...@googlegroups.com
I got another two books, too. one is "elements of algebraic topology"
by James R. Munkres, I recommend this book, obviously more rigorous.
The other is GTM 133: "Algebraic topology: a first course" by William
Fulton, which I think is a little troublesome, since it sometime deals
with one-dimension or two dimension situations separately, then
generalize the situation to higher dimensions. Though some geometry
aspect is more clear in this way.
by James R. Munkres, I recommend this book, obviously more rigorous.
The other is GTM 133: "Algebraic topology: a first course" by William
Fulton, which I think is a little troublesome, since it sometime deals
with one-dimension or two dimension situations separately, then
generalize the situation to higher dimensions. Though some geometry
aspect is more clear in this way.
--
Xiaochuan Liu
lxc...@gmail.com
Nankai University
Guo Long
Nov 15, 2009, 9:26:19 PM11/15/09
to maths learning
In reponse to Liu's plan for Fields and GaloisThoery, I recommend
Chpter 5 of Hungerford's book 'Algebra' as the basic material, where
the basic structures of fields and the theory of Galois are introduced
simultaneously. Subsections 1--3 of this chpter may be attacked in
this week.
> lxc1...@gmail.com
> Nankai University
Chpter 5 of Hungerford's book 'Algebra' as the basic material, where
the basic structures of fields and the theory of Galois are introduced
simultaneously. Subsections 1--3 of this chpter may be attacked in
this week.
> Nankai University
Reply all
Reply to author
Forward
0 new messages