【GTM001】GTM on going

註：由於作者、出版編號等信息對我來說沒有太大意義，這裡我只列出書名和出版日期。

————————————————————————————————————

進行中……

一、基本理論

1、集合論

GTM 008： Axiomatic Set Theory (1973)

2、範疇學

GTM 002：Measure and Category - A Survey of the Analogies between Topological and Measure Spaces (1980, 2nd ed.)

GTM 005：Categories for the Working Mathematician (1998, 2nd ed.)

GTM 013：Rings and Categories of Modules (1992)

3、測度論

GTM 018：Measure Theory (1974)

4、數學邏輯

GTM 022：An Algebraic Introduction to Mathematical Logic (1975)

二、空間

1、拓撲空間

(3) Topological Vector Spaces (1999, 2nd ed.)

(4) A Course in Homological Algebra (1997, 2nd ed.)

(6) Projective Planes (1982)

(16) The Structure of Fields (1974)

2、李代數、李群、李空間

(9) Introduction to Lie Algebras and Representation Theory (1997)

3、同倫空間

(10) A Course in Simple-Homotopy Theory (1973)

4、群論

(21) Linear Algebraic Groups (1998)

(23) Linear Algebra (1981)

三、演算法

(7) A Course in Arithmetic (1996)

四、分析學

1、實分析

2、複分析

3、泛函分析

(15) Lectures in Functional Analysis and Operator Theory (1974)

4、其他

(12) Advanced Mathematical Analysis (1973)

五、概論分析

(17) Random Processes (1974)

六、幾何

1、微分幾何

(20) Fibre Bundles (1994, 3rd ed.)

七、其他

(14) Stable Mappings and Their Singularities (1974)

(19) A Hilbert Space Problem Book (1982)

————————————————————————————————————

待處理……

(24) Geometric Functional Analysis and Its Applications (1975)

(25) Real and Abstract Analysis (1975)

(26) Algebraic Theories (1976)

(27) General Topology (1975)

(28) Commutative Algebra I (1975)

(29) Commutative Algebra II (1975)

(30) Lectures in Abstract Algebra I: Basic Concepts (1976)

————————————————————————————————————

已完成……

GTM 001：Introduction to Axiomatic Set Theory (1982, 2nd ed.)

GTM 011：Functions of One Complex Variable I (1978, 2nd ed.)