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Pretty pictures version of [[Read]]. | |||
__NOTOC__ | |||
{{ | == Version 2 == | ||
| | === Fill in Gaps === | ||
<div class="flex-container"> | |||
{{BookListing | |||
| cover = File:Lang Basic Mathematics.jpg | |||
| title = Basic Mathematics | | title = Basic Mathematics | ||
| | | desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang. | ||
}} | }} | ||
< | Β Β <div class="flex-item"> | ||
< | Β Β Β Β <div class="book-cover"> | ||
[[File:Lang Basic Mathematics Cover.jpg|center|300px]] | |||
</ | Β Β Β Β </div> | ||
Β Β Β Β <div class="book-title"> | |||
==== Basic Mathematics ==== | |||
Β Β Β Β </div> | |||
Β Β Β Β <div class="book-desc"> | |||
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | |||
Β Β Β Β </div> | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Apostol Calculus V1 Cover.jpg|center|300px]] | |||
==== Calculus ==== | |||
Overview of Calculus by Tom Apostol. | |||
Β Β </div> | |||
</div> | |||
<div class="flex-container"> | |||
Β Β <div class="flex-item"> | |||
[[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]] | |||
==== 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. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Shilov Linear Algebra Cover.jpg|center|300px]] | |||
==== Linear Algebra ==== | |||
Linear Algabra by Georgi Shilov. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]] | |||
==== Mechanics ==== | |||
Physics by Lev Landau. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]] | |||
==== The Classical Theory of Fields ==== | |||
Physics by Lev Landau. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Bishop Tensor Analysis Cover.jpg|center|300px]] | |||
==== Tensor Analysis on Manifolds ==== | |||
Tensor analysis by Richard Bishop and Samuel Goldberg. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Sternberg Differential Geometry Cover.jpg|center|300px]] | |||
==== Lectures on Differential Geometry ==== | |||
Differential geometry by Shlomo Sternberg. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]] | |||
==== Cohomology & Differential Forms ==== | |||
Cohomology and differential forms by Isu Vaisman. | |||
Β Β </div> | |||
</div> | |||
=== Backbone === | |||
<div class="flex-container"> | |||
Β Β <div class="flex-item"> | |||
[[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]] | |||
==== Ordinary Differential Equations ==== | |||
Ordinary differential equations by Vladimir Arnold. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]] | |||
==== Set Theory and Metric Spaces ==== | |||
Set theory and metric spaces by Irving Kaplansky. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:E Landau Foundations of Analysis Cover.jpg|center|300px]] | |||
==== Foundations of Analysis ==== | |||
Analysis, intro to numbers, by Edmund Landau. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]] | |||
==== Principles of Mathematical Analysis ==== | |||
Mathematical analysis by Walter Rudin. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]] | |||
==== Topology: A Categorical Approach ==== | |||
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Ahlfors Complex Analysis Cover.jpg|center|300px]] | |||
==== Complex Analysis ==== | |||
Complex analysis by Lars Ahlfors. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]] | |||
==== Applications of Lie Groups to Differential Equations ==== | |||
Complex analysis by Peter Olver. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]] | |||
==== Algebra Chapter 0 ==== | |||
Complex analysis by Paolo Aluffi. | |||
Β Β </div> | |||
Β Β <div class="flex-item"> | |||
[[File:Lang Algebra Cover.jpg|center|300px]] | |||
==== Algebra ==== | |||
Algebra by Serge Lang. | |||
Β Β </div> | |||
</div> | |||
Β | |||
== Books == | |||
=== Fill in Gaps === | |||
<br> | |||
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;"> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Lang Basic Mathematics Cover.jpg|center|300px]] | |||
==== Basic Mathematics ==== | |||
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Apostol Calculus V1 Cover.jpg|center|300px]] | |||
==== Calculus ==== | |||
Introduction to Calculus by Tom Apostol. | |||
Β Β </div> | |||
</div> | |||
=== Road to Differential Geometry and Physics === | |||
<br> | |||
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;"> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]] | |||
==== 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. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Shilov Linear Algebra Cover.jpg|center|300px]] | |||
==== Linear Algebra ==== | |||
Linear Algabra by Georgi Shilov. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]] | |||
==== Mechanics ==== | |||
Physics by Lev Landau. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]] | |||
==== The Classical Theory of Fields ==== | |||
Physics by Lev Landau. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Bishop Tensor Analysis Cover.jpg|center|300px]] | |||
==== Tensor Analysis on Manifolds ==== | |||
Tensor analysis by Richard Bishop and Samuel Goldberg. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Sternberg Differential Geometry Cover.jpg|center|300px]] | |||
==== Lectures on Differential Geometry ==== | |||
Differential geometry by Shlomo Sternberg. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]] | |||
==== Cohomology & Differential Forms ==== | |||
Cohomology and differential forms by Isu Vaisman. | |||
Β Β </div> | |||
</div> | |||
Β | |||
=== Backbone === | |||
<br> | |||
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;"> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]] | |||
==== Ordinary Differential Equations ==== | |||
Ordinary differential equations by Vladimir Arnold. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]] | |||
==== Set Theory and Metric Spaces ==== | |||
Set theory and metric spaces by Irving Kaplansky. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:E Landau Foundations of Analysis Cover.jpg|center|300px]] | |||
==== Foundations of Analysis ==== | |||
Analysis, intro to numbers, by Edmund Landau. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]] | |||
==== Principles of Mathematical Analysis ==== | |||
Mathematical analysis by Walter Rudin. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]] | |||
==== Topology: A Categorical Approach ==== | |||
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Ahlfors Complex Analysis Cover.jpg|center|300px]] | |||
==== Complex Analysis ==== | |||
Complex analysis by Lars Ahlfors. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]] | |||
==== Applications of Lie Groups to Differential Equations ==== | |||
Complex analysis by Peter Olver. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]] | |||
==== Algebra Chapter 0 ==== | |||
Complex analysis by Paolo Aluffi. | |||
Β Β </div> | |||
Β Β <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;"> | |||
[[File:Lang Algebra Cover.jpg|center|300px]] | |||
==== Algebra ==== | |||
Algebra by Serge Lang. | |||
Β Β </div> | |||
</div> |