User:Aardvark/Read: Difference between revisions
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<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Lang Basic Mathematics Cover.jpg|center|300px]] | [[File:Lang Basic Mathematics Cover.jpg|center|300px]] | ||
==== Basic Mathematics ==== | ==== Basic Mathematics ==== | ||
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Apostol Calculus V1 Cover.jpg|center|300px]] | [[File:Apostol Calculus V1 Cover.jpg|center|300px]] | ||
==== Calculus ==== | ==== Calculus ==== | ||
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<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]] | [[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]] | ||
==== Sets for Mathematics ==== | ==== Sets for Mathematics ==== | ||
Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau. | Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Shilov Linear Algebra Cover.jpg|center|300px]] | [[File:Shilov Linear Algebra Cover.jpg|center|300px]] | ||
==== Linear Algebra ==== | ==== Linear Algebra ==== | ||
Linear Algabra by Georgi Shilov. | Linear Algabra by Georgi Shilov. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]] | [[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]] | ||
==== Mechanics ==== | ==== Mechanics ==== | ||
Physics by Lev Landau. | Physics by Lev Landau. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]] | [[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]] | ||
==== The Classical Theory of Fields ==== | ==== The Classical Theory of Fields ==== | ||
Physics by Lev Landau. | Physics by Lev Landau. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Bishop Tensor Analysis Cover.jpg|center|300px]] | [[File:Bishop Tensor Analysis Cover.jpg|center|300px]] | ||
==== Tensor Analysis on Manifolds ==== | ==== Tensor Analysis on Manifolds ==== | ||
Tensor analysis by Richard Bishop and Samuel Goldberg. | Tensor analysis by Richard Bishop and Samuel Goldberg. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Sternberg Differential Geometry Cover.jpg|center|300px]] | [[File:Sternberg Differential Geometry Cover.jpg|center|300px]] | ||
==== Lectures on Differential Geometry ==== | ==== Lectures on Differential Geometry ==== | ||
Differential geometry by Shlomo Sternberg. | Differential geometry by Shlomo Sternberg. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]] | [[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]] | ||
==== Cohomology & Differential Forms ==== | ==== Cohomology & Differential Forms ==== | ||
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=== Backbone === | === Backbone === | ||
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start;"> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]] | [[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]] | ||
==== Ordinary Differential Equations ==== | ==== Ordinary Differential Equations ==== | ||
Ordinary differential equations by Vladimir Arnold. | Ordinary differential equations by Vladimir Arnold. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]] | [[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]] | ||
==== Set Theory and Metric Spaces ==== | ==== Set Theory and Metric Spaces ==== | ||
Set theory and metric spaces by Irving Kaplansky. | Set theory and metric spaces by Irving Kaplansky. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:E Landau Foundations of Analysis Cover.jpg|center|300px]] | [[File:E Landau Foundations of Analysis Cover.jpg|center|300px]] | ||
==== Foundations of Analysis ==== | ==== Foundations of Analysis ==== | ||
Analysis, intro to numbers, by Edmund Landau. | Analysis, intro to numbers, by Edmund Landau. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]] | [[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]] | ||
==== Principles of Mathematical Analysis ==== | ==== Principles of Mathematical Analysis ==== | ||
Mathematical analysis by Walter Rudin. | Mathematical analysis by Walter Rudin. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]] | [[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]] | ||
==== Topology: A Categorical Approach ==== | ==== Topology: A Categorical Approach ==== | ||
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Ahlfors Complex Analysis Cover.jpg|center|300px]] | [[File:Ahlfors Complex Analysis Cover.jpg|center|300px]] | ||
==== Complex Analysis ==== | ==== Complex Analysis ==== | ||
Complex analysis by Lars Ahlfors. | Complex analysis by Lars Ahlfors. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]] | [[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]] | ||
==== Applications of Lie Groups to Differential Equations ==== | ==== Applications of Lie Groups to Differential Equations ==== | ||
Complex analysis by Peter Olver. | Complex analysis by Peter Olver. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]] | [[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]] | ||
==== Algebra Chapter 0 ==== | ==== Algebra Chapter 0 ==== | ||
Complex analysis by Paolo Aluffi. | Complex analysis by Paolo Aluffi. | ||
</div> | </div> | ||
<div class="iframe-item" style="flex: | <div class="iframe-item" style="flex: 0 1 25%; margin-bottom: 1em;"> | ||
[[File:Lang Algebra Cover.jpg|center|300px]] | [[File:Lang Algebra Cover.jpg|center|300px]] | ||
==== Algebra ==== | ==== Algebra ==== | ||
Revision as of 19:38, 10 June 2021
Pretty pictures version of Read.
Books
Fill in Gaps
Basic Mathematics
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang.
Calculus
Introduction to Calculus by Tom Apostol.
Road to Differential Geometry and Physics
Sets for Mathematics
Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
Linear Algebra
Linear Algabra by Georgi Shilov.
Mechanics
Physics by Lev Landau.
The Classical Theory of Fields
Physics by Lev Landau.
Tensor Analysis on Manifolds
Tensor analysis by Richard Bishop and Samuel Goldberg.
Lectures on Differential Geometry
Differential geometry by Shlomo Sternberg.
Cohomology & Differential Forms
Cohomology and differential forms by Isu Vaisman.
Backbone
Ordinary Differential Equations
Ordinary differential equations by Vladimir Arnold.
Set Theory and Metric Spaces
Set theory and metric spaces by Irving Kaplansky.
Foundations of Analysis
Analysis, intro to numbers, by Edmund Landau.
Principles of Mathematical Analysis
Mathematical analysis by Walter Rudin.
Topology: A Categorical Approach
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.
Complex Analysis
Complex analysis by Lars Ahlfors.
Applications of Lie Groups to Differential Equations
Complex analysis by Peter Olver.
Algebra Chapter 0
Complex analysis by Paolo Aluffi.
Algebra
Algebra by Serge Lang.