Difference between revisions of "Read"
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**Fill in Gaps**: | <nowiki>**</nowiki>Fill in Gaps**: | ||
Lang - Basic Mathematics | Lang - Basic Mathematics | ||
Apostol - Calculus | Apostol - Calculus | ||
**Royal Road To Differential Geometry and Physics**: | |||
<nowiki>**</nowiki>Royal Road To Differential Geometry and Physics**: | |||
Lawvere - Sets for Mathematics | Lawvere - Sets for Mathematics | ||
Shilov - Linear Algebra (and) | Shilov - Linear Algebra (and) | ||
Lev Landau - courses in physics Volume 1+2 (then) | Lev Landau - courses in physics Volume 1+2 (then) | ||
Bishop - Tensor Analysis (or) | Bishop - Tensor Analysis (or)\* | ||
Sternberg - Differential Geometry (then) | |||
Sternberg - Differential Geometry (then)\*\* | |||
Isu Vaisman - Cohomology and Differential Forms | Isu Vaisman - Cohomology and Differential Forms | ||
**Backbone**: | |||
<nowiki>**</nowiki>Backbone**: | |||
Arnold - Ordinary Differential Equations | Arnold - Ordinary Differential Equations | ||
Kaplansky - Set Theory and Metric Spaces (and) | Kaplansky - Set Theory and Metric Spaces (and) | ||
Edmund Landau - Foundations of Analysis (then) | Edmund Landau - Foundations of Analysis (then) | ||
Rudin - Principles of Mathematical Analysis | Rudin - Principles of Mathematical Analysis | ||
Bradley, Bryson, Terrilla - Topology: A Categorical Approach | Bradley, Bryson, Terrilla - Topology: A Categorical Approach | ||
Ahlfors - Complex Analysis | Ahlfors - Complex Analysis | ||
Olver - Applications of Lie Groups to Differential Equations | Olver - Applications of Lie Groups to Differential Equations | ||
Aluffi - Algebra Chapter 0 (or) | |||
Lang - Algebra -- | Aluffi - Algebra Chapter 0 (or) \* | ||
Lang - Algebra\*\* | |||
\* = easier | |||
\*\* = direct | |||
<nowiki>**</nowiki>Good General Videos**: | |||
https://www.youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic | |||
notes: | |||
https://drive.google.com/file/d/1nchF1fRGSY3R3rP1QmjUg7fe28tAS428/view | |||
https://www.youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ | |||
Revision as of 13:21, 21 May 2021
**Fill in Gaps**:
Lang - Basic Mathematics
Apostol - Calculus
**Royal Road To Differential Geometry and Physics**:
Lawvere - Sets for Mathematics Shilov - Linear Algebra (and)
Lev Landau - courses in physics Volume 1+2 (then) Bishop - Tensor Analysis (or)\*
Sternberg - Differential Geometry (then)\*\*
Isu Vaisman - Cohomology and Differential Forms
**Backbone**:
Arnold - Ordinary Differential Equations
Kaplansky - Set Theory and Metric Spaces (and)
Edmund Landau - Foundations of Analysis (then) Rudin - Principles of Mathematical Analysis
Bradley, Bryson, Terrilla - Topology: A Categorical Approach
Ahlfors - Complex Analysis Olver - Applications of Lie Groups to Differential Equations
Aluffi - Algebra Chapter 0 (or) \*
Lang - Algebra\*\*
\* = easier
\*\* = direct
**Good General Videos**:
https://www.youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic
notes:
https://drive.google.com/file/d/1nchF1fRGSY3R3rP1QmjUg7fe28tAS428/view