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| desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang. | | desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang. | ||
}} | }} | ||
{{BookListing | |||
| cover = Apostol Calculus V1 Cover.jpg | |||
| title = ==== Calculus ==== | |||
| desc = Overview of Calculus by Tom Apostol. | |||
}} | |||
==== Calculus ==== | |||
Overview of Calculus by Tom Apostol. | |||
</div> | </div> | ||
<div class="flex-container"> | <div class="flex-container"> | ||
{{BookListing | |||
| cover = Lawvere Sets for Mathematics Cover.jpg | |||
==== Sets for | | title = ==== Sets for Methematics ==== | ||
Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau. | | desc = Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau. | ||
}} | |||
{{BookListing | |||
| cover = Shilov Linear Algebra Cover.jpg | |||
==== Linear Algebra ==== | | title = ==== Linear Algebra ==== | ||
Linear | | desc = Linear algebra by Georgi Shilov. | ||
}} | |||
{{BookListing | |||
| cover = Landau Course in Theoretical Physics V1 Cover.jpg | |||
| title = Mechanics | |||
Physics by Lev Landau. | | desc = Physics by Lev Landau. | ||
}} | |||
{{BookListing | |||
| cover = Landau Course in Theoretical Physics V2 Cover.jpg | |||
==== The Classical Theory of Fields ==== | | title = ==== The Classical Theory of Fields ==== | ||
Physics by Lev Landau. | | desc = Physics by Lev Landau. | ||
}} | |||
{{BookListing | |||
| cover = Bishop Tensor Analysis Cover.jpg | |||
| title = Tensor Analysis on Manifolds | |||
Tensor analysis by Richard Bishop and Samuel Goldberg. | | desc = Tensor analysis by Richard Bishop and Samuel Goldberg. | ||
}} | |||
{{BookListing | |||
| cover = Sternberg Differential Geometry Cover.jpg | |||
==== Lectures on Differential Geometry ==== | | title = ==== Lectures on Differential Geometry ==== | ||
Differential geometry by Shlomo Sternberg. | | desc = Differential geometry by Shlomo Sternberg. | ||
}} | |||
{{BookListing | |||
| cover = Vaisman Cohomology and Differential Forms Cover.jpg | |||
==== Cohomology & Differential Forms ==== | | title = ==== Cohomology & Differential Forms ==== | ||
Cohomology and differential forms by Isu Vaisman. | | desc = Cohomology and differential forms by Isu Vaisman. | ||
}} | |||
</div> | </div> | ||
=== Backbone === | === Backbone === | ||
<div class="flex-container"> | <div class="flex-container"> | ||
{{BookListing | |||
| cover = Arnold Ordinary Differential Equations Cover.jpg | |||
==== Ordinary Differential Equations ==== | | title = ==== Ordinary Differential Equations ==== | ||
Ordinary differential equations by Vladimir Arnold. | | desc = Ordinary differential equations by Vladimir Arnold. | ||
}} | |||
{{BookListing | |||
| cover = Kaplansky Set Theory and Metric Spaces Cover.jpg | |||
==== Set Theory and Metric Spaces ==== | | title = ==== Set Theory and Metric Spaces ==== | ||
Set theory and metric spaces by Irving Kaplansky. | | desc = Set theory and metric spaces by Irving Kaplansky. | ||
}} | |||
{{BookListing | |||
| cover = E Landau Foundations of Analysis Cover.jpg | |||
==== Foundations of Analysis ==== | | title = ==== Foundations of Analysis ==== | ||
Analysis, intro to numbers, by Edmund Landau. | | desc = Analysis, intro to numbers, by Edmund Landau. | ||
}} | |||
{{BookListing | |||
| cover = Rudin Principles of Mathematical Analysis Cover.jpg | |||
==== Principles of Mathematical Analysis ==== | | title = ==== Principles of Mathematical Analysis ==== | ||
Mathematical analysis by Walter Rudin. | | desc = Mathematical analysis by Walter Rudin. | ||
}} | |||
{{BookListing | |||
| cover = Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg | |||
==== Topology: A Categorical Approach ==== | | title = ==== Topology: A Categorical Approach ==== | ||
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | | desc = Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | ||
}} | |||
{{BookListing | |||
| cover = Ahlfors Complex Analysis Cover.jpg | |||
==== Complex Analysis ==== | | title = ==== Complex Analysis ==== | ||
Complex analysis by Lars Ahlfors. | | desc = Complex analysis by Lars Ahlfors. | ||
}} | |||
{{BookListing | |||
| cover = Olver Applications of Lie Groups to Differential Equations Cover.jpg | |||
==== Applications of Lie Groups to Differential Equations ==== | | title = ==== Applications of Lie Groups to Differential Equations ==== | ||
| desc = Applications of Lie Groups to Differential Equations by Peter Olver. | |||
}} | |||
{{BookListing | |||
| cover = Aluffi Algebra Chapter 0 Cover.jpg | |||
==== Algebra Chapter 0 ==== | | title = ==== Algebra Chapter 0 ==== | ||
Complex analysis by Paolo Aluffi. | | desc = Complex analysis by Paolo Aluffi. | ||
}} | |||
{{BookListing | |||
| cover = Lang Algebra Cover.jpg | |||
==== Algebra ==== | | title = ==== Algebra ==== | ||
Algebra by Serge Lang. | | desc = Algebra by Serge Lang. | ||
}} | |||
</div> | </div> | ||