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| Pretty pictures version of [[Read]].
| | {{Grid2Col |
| | | | content = |
| [[File:Read.jpg|thumb|A graphic showing dependencies.]]
| | {{CardBook |
| | | | img = Lang Basic Mathematics Cover.jpg |
| __NOTOC__
| | | link = Basic Mathematics (Book) |
| == Version 2 == | | | title = Basic Mathematics |
| === Fill in Gaps === | | | authors = Serge Lang |
| <div class="flex-container">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| {{BookListing | | | followon = |
| | cover = Lang Basic Mathematics Cover.jpg | | {{CardBookFollowOnListItem |
| | title = ==== Basic Mathematics ==== | | | img = Lang Basic Mathematics Cover.jpg |
| | desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang. | | | link = Basic Mathematics (Book) |
| | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Apostol Calculus V1 Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Calculus ==== | | | link = Basic Mathematics (Book) |
| | desc = Overview of Calculus by Tom Apostol. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="flex-container">
| | | img = Lang Basic Mathematics Cover.jpg |
| {{BookListing | | | link = Basic Mathematics (Book) |
| | cover = Lawvere Sets for Mathematics Cover.jpg | | | title = Basic Mathematics |
| | title = ==== Sets for Methematics ==== | | | authors = Serge Lang |
| | 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. | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing
| |
| | cover = Shilov Linear Algebra Cover.jpg
| |
| | title = ==== Linear Algebra ====
| |
| | desc = Linear algebra by Georgi Shilov.
| |
| }} | | }} |
| {{BookListing | | {{CardBook |
| | cover = Landau Course in Theoretical Physics V1 Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Mechanics ==== | | | link = Basic Mathematics (Book) |
| | desc = Physics by Lev Landau. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | | followon = |
| | {{CardBookFollowOnListItem |
| | | img = Lang Basic Mathematics Cover.jpg |
| | | link = Basic Mathematics (Book) |
| | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Landau Course in Theoretical Physics V2 Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== The Classical Theory of Fields ==== | | | link = Basic Mathematics (Book) |
| | desc = Physics by Lev Landau. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Bishop Tensor Analysis Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Tensor Analysis on Manifolds ==== | | | link = Basic Mathematics (Book) |
| | desc = Tensor analysis by Richard Bishop and Samuel Goldberg. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing
| |
| | cover = Sternberg Differential Geometry Cover.jpg
| |
| | title = ==== Lectures on Differential Geometry ====
| |
| | desc = Differential geometry by Shlomo Sternberg.
| |
| }} | | }} |
| {{BookListing | | {{CardBook |
| | cover = Vaisman Cohomology and Differential Forms Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Cohomology & Differential Forms ==== | | | link = Basic Mathematics (Book) |
| | desc = Cohomology and differential forms by Isu Vaisman. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | | followon = |
| | {{CardBookFollowOnListItem |
| | | img = Lang Basic Mathematics Cover.jpg |
| | | link = Basic Mathematics (Book) |
| | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| </div>
| | {{CardBookFollowOnListItem |
| === Backbone ===
| | | img = Lang Basic Mathematics Cover.jpg |
| <div class="flex-container">
| | | link = Basic Mathematics (Book) |
| {{BookListing | | | title = Basic Mathematics |
| | cover = Arnold Ordinary Differential Equations Cover.jpg | | | authors = Serge Lang |
| | title = ==== Ordinary Differential Equations ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | desc = Ordinary differential equations by Vladimir Arnold. | |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Kaplansky Set Theory and Metric Spaces Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Set Theory and Metric Spaces ==== | | | link = Basic Mathematics (Book) |
| | desc = Set theory and metric spaces by Irving Kaplansky. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing
| |
| | cover = E Landau Foundations of Analysis Cover.jpg
| |
| | title = ==== Foundations of Analysis ====
| |
| | desc = Analysis, intro to numbers, by Edmund Landau.
| |
| }} | | }} |
| {{BookListing | | {{CardBook |
| | cover = Rudin Principles of Mathematical Analysis Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Principles of Mathematical Analysis ==== | | | link = Basic Mathematics (Book) |
| | desc = Mathematical analysis by Walter Rudin. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | | followon = |
| | {{CardBookFollowOnListItem |
| | | img = Lang Basic Mathematics Cover.jpg |
| | | link = Basic Mathematics (Book) |
| | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Topology: A Categorical Approach ==== | | | link = Basic Mathematics (Book) |
| | desc = Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Ahlfors Complex Analysis Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Complex Analysis ==== | | | link = Basic Mathematics (Book) |
| | desc = Complex analysis by Lars Ahlfors. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing
| |
| | cover = Olver Applications of Lie Groups to Differential Equations Cover.jpg
| |
| | title = ==== Applications of Lie Groups to Differential Equations ====
| |
| | desc = Applications of Lie Groups to Differential Equations by Peter Olver.
| |
| }} | | }} |
| {{BookListing | | {{CardBook |
| | cover = Aluffi Algebra Chapter 0 Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Algebra Chapter 0 ==== | | | link = Basic Mathematics (Book) |
| | desc = Complex analysis by Paolo Aluffi. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | | followon = |
| | {{CardBookFollowOnListItem |
| | | img = Lang Basic Mathematics Cover.jpg |
| | | link = Basic Mathematics (Book) |
| | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| {{BookListing | | {{CardBookFollowOnListItem |
| | cover = Lang Algebra Cover.jpg | | | img = Lang Basic Mathematics Cover.jpg |
| | title = ==== Algebra ==== | | | link = Basic Mathematics (Book) |
| | desc = Algebra by Serge Lang. | | | title = Basic Mathematics |
| | | authors = Serge Lang |
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| }} | | }} |
| </div>
| | {{CardBookFollowOnListItem |
| | | | img = Lang Basic Mathematics Cover.jpg |
| == Books ==
| | | link = Basic Mathematics (Book) |
| === Fill in Gaps === | | | title = Basic Mathematics |
| <br>
| | | authors = Serge Lang |
| <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | }} |
| [[File:Lang Basic Mathematics Cover.jpg|center|300px]]
| | }} |
| ==== Basic Mathematics ====
| | {{CardBook |
| Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | title = Basic Mathematics |
| [[File:Apostol Calculus V1 Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Calculus ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Introduction to Calculus by Tom Apostol.
| | | followon = |
| </div>
| | {{CardBookFollowOnListItem |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| === Road to Differential Geometry and Physics ===
| | | link = Basic Mathematics (Book) |
| <br>
| | | title = Basic Mathematics |
| <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| | | authors = Serge Lang |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| [[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]]
| | }} |
| ==== Sets for Mathematics ==== | | {{CardBookFollowOnListItem |
| Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | title = Basic Mathematics |
| [[File:Shilov Linear Algebra Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Linear Algebra ====
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Linear Algabra by Georgi Shilov.
| | }} |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| ==== Mechanics ====
| | | title = Basic Mathematics |
| Physics by Lev Landau.
| | | authors = Serge Lang |
| </div>
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <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.
| | <details> |
| </div>
| | <summary>Test</summary> |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | test |
| [[File:Bishop Tensor Analysis Cover.jpg|center|300px]]
| | </details> |
| ==== Tensor Analysis on Manifolds ====
| |
| Tensor analysis by Richard Bishop and Samuel Goldberg.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| </div>
| |
| | |
| === Backbone ===
| |
| <br>
| |
| <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <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.
| |
| </div>
| |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| |
| [[File:Lang Algebra Cover.jpg|center|300px]]
| |
| ==== Algebra ====
| |
| Algebra by Serge Lang.
| |
| </div>
| |
| </div> | |
