Note or textbook about algebraic k-theory

Question

I'm reading the Weibel's K-book. It's difficult for me. I have read some $K_0$ with the hlep of Bass' book. But Bass' book is so old. So, are there any more detailed books or notes to recommend.

I appreciate any advice, thanks!

Answer 1

Here are some useful list:

In any field (and any level!), Milnor is a nice choice:

1. Milnor, John W., Introduction to algebraic K-theory, Annals of Mathematics Studies. No. 72. Princeton, N. J.: Princeton University Press and University of Tokyo Press. XIII, 184 p. $ 6.25 (1971). ZBL0237.18005.

and some other Books:

2. Rosenberg, Jonathan, Algebraic K-theory and its applications, Graduate Texts in Mathematics. 147. New York, NY: Springer-Verlag. x, 392 p. (1994). ZBL0801.19001.

3. Inassaridze, Hvedri, Algebraic (K)-theory, Mathematics and its Applications (Dordrecht). 311. Dordrecht: Kluwer Academic Publishers. 438 p. ; (1995). ZBL0836.19001.

4. Dundas, Bjørn Ian; Goodwillie, Thomas G.; McCarthy, Randy, The local structure of algebraic K-theory, Algebra and Applications 18. London: Springer (ISBN 978-1-4471-4392-5/hbk; 978-1-4471-4393-2/ebook). xv, 435 p. (2013). ZBL1272.55002.

5. Lluis-Puebla, Emilio; Loday, Jean-Louis; Gillet, Henri; Soulé, Christophe; Snaith, Victor, Higher algebraic (K)-theory: an overview, Lecture Notes in Mathematics. 1491. Berlin etc.: Springer-Verlag. ix, 164 p. (1992). ZBL0746.19001.