Fractional calculus is a branch of mathematical analysis that extends the concept of derivatives and integrals to fractional (non-integer) orders. Traditional calculus deals with whole number orders of differentiation and integration, such as the first derivative \( f'(x) \) or the second derivative \( f''(x) \).
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.
"Annales de la Faculté des Sciences de Toulouse" is a scientific journal that publishes research articles in the field of mathematics and related topics. It is associated with the University of Toulouse in France and aims to disseminate significant research findings, focusing particularly on areas of pure and applied mathematics. The journal has a history of contributing to the mathematical community by providing a platform for researchers to share their work.
"Annals of Functional Analysis" is a scientific journal that publishes research articles in the field of functional analysis and its applications. Functional analysis is a branch of mathematical analysis that deals with function spaces and operators, and it has significant applications in various areas of mathematics, physics, engineering, and other disciplines. The journal typically includes original research papers, reviews, and sometimes special issues or thematic collections that focus on specific topics within functional analysis.
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.
Introspection is the process of examining and analyzing one's own thoughts, feelings, and experiences. It involves reflecting on one's internal mental state and gaining insight into personal motivations, beliefs, and emotions. Introspection is often used in psychology to encourage self-awareness and understanding, and it can also play a role in various philosophical discussions regarding consciousness and self-knowledge.
The Arnold Mathematical Journal is a scholarly publication that focuses on a wide range of topics in mathematics. Named after the renowned mathematician Vladimir Arnold, the journal publishes original research articles, survey papers, and expository articles that contribute to the various fields of mathematics. The journal aims to foster communication and collaboration among mathematicians, promoting high-quality research in diverse areas, including but not limited to algebra, geometry, topology, analysis, and applied mathematics.
The Asia-Pacific Journal of Operational Research (APJOR) is a scholarly journal that focuses on the field of operational research and its applications. Published periodically, APJOR features research articles, case studies, and surveys that contribute to the advancement of operational research methodologies, models, and practices within the Asia-Pacific region and beyond. The journal typically includes topics such as optimization, decision analysis, simulation, supply chain management, logistics, and other areas that are relevant to operational research.
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.
Metarepresentation refers to the ability to represent or reflect on one's own representations or mental states, essentially allowing an individual to think about their own thoughts, beliefs, and feelings as well as those of others. It is a concept commonly discussed in various fields, including cognitive science, philosophy, psychology, and linguistics.
Axioms is an interdisciplinary mathematics journal that provides a platform for the publication of original research articles, surveys, and reviews covering a wide array of topics within the field of mathematics. The journal aims to promote high-quality research and foster communication among mathematicians working in different areas. Axioms is known for its open-access model, allowing researchers and the public to access published papers free of charge. This model helps disseminate mathematical knowledge more broadly and supports the idea of open science.
The Banach Journal of Mathematical Analysis is a peer-reviewed mathematical journal that focuses on various areas of mathematical analysis, including but not limited to functional analysis, harmonic analysis, complex analysis, and operator theory. The journal is named after Stefan Banach, a prominent figure in the field of functional analysis.
The Bulletin of Mathematical Sciences is an academic journal that publishes research articles, survey papers, and other mathematical content. Established to promote and disseminate important developments in the field of mathematics, the journal typically features articles covering a wide range of mathematical topics, including pure mathematics, applied mathematics, and interdisciplinary studies involving mathematics. The aim of the Bulletin is to provide a platform for mathematicians to share their findings, review current trends, and highlight significant advancements in the discipline.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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