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Eureka is a magazine published by the University of Cambridge that focuses on science, research, and innovation. It aims to communicate complex scientific concepts and research findings to a broader audience in an engaging and accessible manner. The publication often features articles written by students, researchers, and faculty members, highlighting breakthroughs, ongoing projects, and the impact of scientific work on society and the world.
**Ergodic Theory** and **Dynamical Systems** are branches of mathematics that study systems that evolve over time, particularly those that exhibit some form of regularity or structure in their behaviors. ### Dynamical Systems A **Dynamical System** is a formalism used to describe the time-dependent behavior of a point in a geometrical space.
"Elemente der Mathematik" is a significant work by the German mathematician Richard Courant and the mathematician Herbert Robbins. Originally published in 1938, the book is recognized for its comprehensive introduction to various fields of mathematics, presented in a way that emphasizes the underlying principles and connections among different mathematical concepts. The title translates to "Elements of Mathematics," and the work covers topics such as number theory, algebra, geometry, and calculus, among others.
Electronic Transactions on Numerical Analysis (ETNA) is a peer-reviewed academic journal that publishes research articles in the field of numerical analysis. It focuses on the development and analysis of numerical algorithms, as well as their applications in solving mathematical problems. ETNA provides a platform for researchers to disseminate their findings and share advancements in numerical methods, computational techniques, and related areas.
The Electronic Journal of Linear Algebra (ELA) is an academic journal that publishes research articles, reviews, and other types of content focused on the field of linear algebra and its applications. The journal often features work that includes theoretical developments, computational methods, and applications of linear algebra in various areas of mathematics and related fields. ELA is notable for being an open-access journal, meaning that its content is freely available to the public, allowing researchers and practitioners to access the latest findings in linear algebra without subscription fees.
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.
The **East Journal on Approximations** is a scientific journal that focuses on research related to approximation theory and its applications. It publishes articles on various aspects of approximations, including mathematical methods, algorithms, numerical analysis, and practical applications in different fields. The journal aims to provide a platform for researchers to share their findings and advancements in approximation techniques.
ESAIM: Control, Optimisation and Calculus of Variations (often abbreviated as ESAIM: COCV) is a scientific journal that focuses on the areas of control theory, optimization, and the calculus of variations. It is a publication of the European Society for Applied and Industrial Mathematics (ESAIM). The journal publishes high-quality research papers that cover theoretical, computational, and applied aspects of control problems and optimization, as well as the calculus of variations, which involves finding extrema of functionals.
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.
Discrete analysis is a branch of mathematics that focuses on discrete structures, which are distinct and separate rather than continuous. This area encompasses a variety of topics, including combinatorics, graph theory, number theory, and the study of algorithms and discrete mathematics more generally. In discrete analysis, mathematicians examine properties and structures that can be counted or distinctly defined, such as: - **Combinatorics:** The study of counting, arrangement, and combination of items.
"Differential Equations" is a scholarly journal that focuses on the publication of research articles related to the theory, methods, and applications of differential equations. This journal typically includes a variety of topics within this field, such as: - Ordinary Differential Equations (ODEs) - Partial Differential Equations (PDEs) - Functional Differential Equations - Stochastic Differential Equations - Applications of differential equations in physics, engineering, biology, and other fields.
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.
Crelle's Journal, officially known as the "Journal für die reine und angewandte Mathematik," is a mathematical journal founded by August Leopold Crelle in 1826. It is recognized for publishing high-quality research articles covering various fields of pure and applied mathematics. The journal has historically played a significant role in the dissemination of mathematical knowledge and has been a platform for many influential mathematicians to publish their work.
"Contrôle Optimisation et Calcul des Variations" (COCV) is a French term that translates to "Control, Optimization, and Calculus of Variations" in English. It refers to a field of study in mathematics that combines three main areas: 1. **Control Theory**: This area focuses on the analysis and design of systems to achieve desired behaviors by manipulating their inputs.
Constructive approximation is a branch of mathematical analysis that focuses on creating mathematical tools and methods to approximate functions, sequences, or other entities in a way that is both effective and practical. The central idea is to find constructive methods—typically through algorithms or explicit formulas—that allow us to get close to a desired target function or structure, usually within a desired accuracy.
Computing is a peer-reviewed academic journal that covers research and developments in the field of computer science and computing. It typically encompasses a wide range of topics, including but not limited to algorithms, software engineering, computer systems, artificial intelligence, and information technology. The journal serves as a platform for researchers to publish their findings, share insights, and contribute to the body of knowledge within the computing discipline.
Computational and Mathematical Organization Theory (CMOT) is an interdisciplinary field that integrates concepts and methods from computational science, mathematics, and organizational theory to analyze and model complex organizational phenomena. The main objectives of CMOT are to better understand the dynamics and structures of organizations, improve decision-making processes, and enhance organizational performance through quantitative modeling and computational techniques. Key aspects of CMOT include: 1. **Modeling Organizational Behavior**: CMOT uses mathematical models to represent and analyze behaviors within organizations.
Computational Optimization and Applications is an interdisciplinary field that focuses on the development and application of algorithms and computational techniques to solve optimization problems. Optimization involves finding the best solution from a set of possible options, typically concerning some objective function subject to constraints. Here are some key aspects of the field: 1. **Definition**: - **Optimization**: The process of making something as effective or functional as possible, often represented mathematically as minimizing or maximizing an objective function.
Computational Geometry is a scholarly journal that focuses on the field of computational geometry, which deals with the study of geometric objects and their relationships using algorithmic techniques. This field combines aspects of computer science, mathematics, and geometry and involves problems related to the representation, analysis, and manipulation of geometric data.
Compositio Mathematica is a mathematical journal that publishes research articles in various fields of pure and applied mathematics. Established in 1935, it is known for its high-quality papers, featuring contributions from prominent mathematicians. The journal covers a wide array of topics, including algebra, analysis, geometry, number theory, and more. Compositio Mathematica is recognized for its rigorous peer-review process and aims to disseminate significant new research findings to the mathematical community.
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





