General relativity is a fundamental theory of gravitation formulated by Albert Einstein and published in 1915. It redefined the concept of gravity, moving beyond the Newtonian perspective. Here's an overview of the key features of general relativity: ### Key Concepts of General Relativity: 1. **Curvature of Spacetime**: Instead of viewing gravity as a force that acts at a distance, general relativity describes it as the curvature of spacetime caused by mass and energy.
"Annales Scientifiques de l'École Normale Supérieure" is a prominent scientific journal published by the École Normale Supérieure in France. It covers various fields of mathematics, physics, and other sciences, and it features original research articles, reviews, and other scholarly content. The journal is highly regarded within the academic community and often serves as a platform for influential research, particularly in theoretical and applied sciences.
The Archive for Rational Mechanics and Analysis is a scholarly journal that focuses on the field of mechanics and mathematical analysis.
"Arkiv för Matematik" is a mathematical journal that publishes research articles in various areas of mathematics. It is known for its rigorous peer-review process and aims to present high-quality research. The journal often includes work from both established researchers and newcomers in the field. "Arkiv för Matematik" was founded in 1961 and is published by the Swedish Mathematical Society. It covers a wide range of topics within mathematics and serves as a platform for disseminating significant findings in the mathematical community.
The Asian Journal of Mathematics is a peer-reviewed academic journal that publishes original research articles in various fields of mathematics. It is known for its wide-ranging coverage of topics within both pure and applied mathematics. The journal aims to provide a platform for mathematicians, researchers, and practitioners to share their findings and contribute to the advancement of mathematical knowledge. The journal typically includes articles on areas such as algebra, analysis, geometry, topology, and mathematical physics, among others.
The Association for Women in Mathematics (AWM) Newsletter is a publication that serves to communicate news and information related to women in the field of mathematics. It typically includes articles on various topics such as research, education, career development, and issues specifically affecting women in mathematics. The newsletter may also feature profiles of prominent women mathematicians, announcements of awards, events, conferences, and initiatives aimed at promoting gender equity within the mathematical community.
"Cahiers de Topologie et Géométrie Différentielle Catégoriques" is a scientific journal that focuses on fields related to topology, differential geometry, and category theory. The journal publishes research articles, surveys, and other contributions that explore the interconnections between these areas of mathematics. The title translates to "Notebooks of Topology and Categorical Differential Geometry," indicating a focus on both foundational theories and advanced topics in the fields mentioned.
The Canadian Journal of Mathematics (CJM) is a peer-reviewed academic journal that publishes original research articles in all areas of mathematics. It is known for its high-quality papers and contributions to various mathematical fields, including pure and applied mathematics. The journal serves as a platform for mathematicians from around the world to share their research findings, and it has a reputation for fostering significant advancements in mathematical theory and applications.
Deutsche Mathematik was a mathematical movement in Germany during the early 20th century, particularly prominent in the years leading up to and during the Nazi regime. It is often associated with a shift away from the more abstract and internationally-oriented mathematics that was prevalent before World War I. The movement emphasized a more "German" approach to mathematics, which was sometimes characterized by a focus on applications, historical context, and national pride in German mathematical achievements.
The International Journal of Mathematics is a peer-reviewed academic journal that publishes research articles in the field of mathematics. Established in 1990, it covers a wide range of topics within mathematics, including but not limited to pure mathematics, applied mathematics, and mathematical theory. The journal aims to provide a platform for the dissemination of innovative research findings and developments in the mathematical sciences. Research papers submitted to the journal undergo a rigorous review process to ensure the quality and relevance of the content.
The Duke Mathematical Journal is a prestigious peer-reviewed academic journal published by Duke University. It focuses on a wide range of topics in pure and applied mathematics, including but not limited to algebra, analysis, geometry, and topology. Established in 1935, the journal is known for publishing high-quality research articles and is aimed at mathematicians and researchers in the field. The journal's strong reputation is reflected in its impact factor and its influential role in disseminating significant advancements and findings within the mathematical community.
"Geometriae Dedicata" is generally understood to refer to a mathematical journal that focuses on research in the field of geometry. The full title is "Geometriae Dedicata," and it serves as a platform for the publication of original research articles, particularly those related to various aspects of geometry, including algebraic geometry, differential geometry, and geometric analysis.
Edinburgh Mathematical Notes (EMN) is a journal that publishes research articles in the field of mathematics. It is associated with the University of Edinburgh and features work that covers a wide range of mathematical topics. The journal serves as a platform for mathematicians to share their findings, promote mathematical research, and facilitate collaboration within the mathematical community. Typically, EMN includes research papers, expository articles, and notes on significant developments in various mathematical areas.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.
Figure 4. Visual Studio Code extension tree navigation.
Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact