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| {{Grid2Col
| | [[File:Read.jpg|thumb|A graphic showing the list's dependencies.]] |
| | content = | | Β |
| {{CardBook
| | This list provides the most direct route to understanding differential geometry, the mathematical language of modern physics. |
| | img = Lang Basic Mathematics Cover.jpg
| | Β |
| | link = Basic Mathematics (Book)
| | __NOTOC__ |
| | title = Basic Mathematics
| | == Fill in Gaps == |
| | authors = Serge Lang
| | <div class="flex-container" style="clear: both;"> |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| | {{BookListing |
| | followon = Β
| | | 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 | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Apostol Calculus V1 Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Calculus === |
| | title = Basic Mathematics
| | | desc = Overview of Calculus by Tom Apostol. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry | |
| }} | | }} |
| {{CardBookFollowOnListItem | | </div> |
| | img = Lang Basic Mathematics Cover.jpg | | == Royal Road to Differential Geometry and Physics == |
| | link = Basic Mathematics (Book) | | <div class="flex-container"> |
| | title = Basic Mathematics
| | {{BookListing |
| | authors = Serge Lang
| | | cover = Lawvere Sets for Mathematics Cover.jpg |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry | | | title = === Sets for Methematics === |
| | | 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 |
| | | title = === Linear Algebra === |
| | | desc = Linear algebra by Georgi Shilov. |
| }} | | }} |
| {{CardBook | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Landau Course in Theoretical Physics V1 Cover.jpg |
| | link = Basic Mathematics (Book)
| | | title = === Mechanics === |
| | title = Basic Mathematics | | | desc = Physics by Lev Landau. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| |
| | followon = Β
| |
| {{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 | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Landau Course in Theoretical Physics V2 Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === The Classical Theory of Fields === |
| | title = Basic Mathematics
| | | desc = Physics by Lev Landau. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Bishop Tensor Analysis Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Tensor Analysis on Manifolds === |
| | title = Basic Mathematics
| | | desc = Tensor analysis by Richard Bishop and Samuel Goldberg. |
| | 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. |
| }} | | }} |
| {{CardBook | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Vaisman Cohomology and Differential Forms Cover.jpg |
| | link = Basic Mathematics (Book)
| | | title = === Cohomology & Differential Forms === |
| | title = Basic Mathematics | | | desc = Cohomology and differential forms by Isu Vaisman. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| |
| | followon = Β
| |
| {{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 | |
| }} | | }} |
| {{CardBookFollowOnListItem | | </div> |
| | img = Lang Basic Mathematics Cover.jpg | | == Backbone == |
| | link = Basic Mathematics (Book) | | <div class="flex-container"> |
| | title = Basic Mathematics
| | {{BookListing |
| | authors = Serge Lang
| | | cover = Arnold Ordinary Differential Equations Cover.jpg |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry | | | title = === Ordinary Differential Equations === |
| | | desc = Ordinary differential equations by Vladimir Arnold. |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Kaplansky Set Theory and Metric Spaces Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Set Theory and Metric Spaces === |
| | title = Basic Mathematics
| | | desc = Set theory and metric spaces by Irving Kaplansky. |
| | 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. |
| }} | | }} |
| {{CardBook | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Rudin Principles of Mathematical Analysis Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Principles of Mathematical Analysis === |
| | title = Basic Mathematics
| | | desc = Mathematical analysis by Walter Rudin. |
| | 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 | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Topology: A Categorical Approach === |
| | title = Basic Mathematics
| | | desc = Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Ahlfors Complex Analysis Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Complex Analysis === |
| | title = Basic Mathematics
| | | desc = Complex analysis by Lars Ahlfors. |
| | 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. |
| }} | | }} |
| {{CardBook | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Aluffi Algebra Chapter 0 Cover.jpg |
| | link = Basic Mathematics (Book)
| | | title = === Algebra Chapter 0 === |
| | title = Basic Mathematics | | | desc = Complex analysis by Paolo Aluffi. |
| | authors = Serge Lang
| |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| |
| | followon = Β
| |
| {{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 | |
| }} | | }} |
| {{CardBookFollowOnListItem | | {{BookListing |
| | img = Lang Basic Mathematics Cover.jpg | | | cover = Lang Algebra Cover.jpg |
| | link = Basic Mathematics (Book) | | | title = === Algebra === |
| | title = Basic Mathematics
| | | desc = Algebra by Serge Lang. |
| | authors = Serge Lang | |
| | description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| |
| }} | | }} |
| {{CardBookFollowOnListItem
| | </div> |
| | 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
| |
| }}
| |
| }}
| |
| {{CardBook
| |
| | 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
| |
| | 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
| |
| }}
| |
| {{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
| |
| }}
| |
| {{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
| |
| }}
| |
| }}
| |
| }}
| |
| <details>
| |
| <summary>Test</summary>
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| test
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| </details> | |