User:Aardvark/Read: Difference between revisions
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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> | ||
Revision as of 21:26, 5 July 2021
Pretty pictures version of Read.
Version 2
Fill in Gaps
Basic Mathematics
Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang.
Calculus
Overview of Calculus by Tom Apostol.
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.
Linear Algebra
Linear algebra 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
Applications of Lie Groups to Differential Equations by Peter Olver.
Algebra Chapter 0
Complex analysis by Paolo Aluffi.
Algebra
Algebra by Serge Lang.
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.