- #1

Site

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Has anyone had any experience with Mac Lane & Birkhoff's book Algebra or Aluffi's book Algebra: Chapter 0?

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- #1

Site

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Has anyone had any experience with Mac Lane & Birkhoff's book Algebra or Aluffi's book Algebra: Chapter 0?

- #2

MathematicalPhysicist

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I can't say more than that cause I haven't read a lot from it.

But from what I read the reading was quite fluent I didn't feel that I don't understand what's going on (there are some books, especially written by Russians that are hard to follow, not this one).

- #3

A. Bahat

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What about Lang?

- #4

fourier jr

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yeah, definitely lang although he covers a lot more than just the standard undergrad stuff.

- #5

espen180

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- #6

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Does Lang integrate category theory and universal algebra throughout the text?

espen180, unfortunately the closest library that has these books is several hours away.

- #7

espen180

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- #8

A. Bahat

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- #9

xristy

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There is also Lawvere's Conceptual Mathematics - A First Introduction to Categories. It does not cover the usual complement of topics in an undergraduate algebra course but rather aims to present category theory - inevitably covering much algebra.

Lang's Undergraduate Algebra does not discuss much less employ category theory; however, Lang's Algebra (his graduate algebra text) does.

- #10

Sankaku

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- #11

A. Bahat

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To clarify, I was referring to Lang's graduate text.

- #12

mathwonk

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- #13

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I've gotten an overview of algebra from Herstein's Topics in Algebra, though I am shaky on the material in the later chapters. I've read Friedberg for linear algebra as well and have no experience with Galois theory. Would Lang be appropriate at my level to tie my knowledge together? It is hard to judge if it is as legendarily difficult as many reviewers say it is from Amazon reviews...

- #14

fourier jr

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I've gotten an overview of algebra from Herstein's Topics in Algebra, though I am shaky on the material in the later chapters. I've read Friedberg for linear algebra as well and have no experience with Galois theory. Would Lang be appropriate at my level to tie my knowledge together? It is hard to judge if it is as legendarily difficult as many reviewers say it is from Amazon reviews...

if you went with lang you'd probably feel like wile e coyote fairly quickly... I think I'd stick with herstein or another one until you have more than just an overview.

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