Eudemus of Rhodes was an ancient Greek philosopher and a significant figure in the Peripatetic school, which was founded by Aristotle. He is generally thought to have lived during the 4th century BCE and is most commonly recognized for his contributions to ethics and the study of logic, as well as for his work on the history of philosophy, particularly his study of previous philosophical doctrines. Eudemus is often noted for his efforts in systematizing and clarifying Aristotle's teachings.
The future of mathematics is likely to be shaped by several key trends and developments across various domains. Here are some areas to consider: 1. **Interdisciplinary Applications**: Mathematics is increasingly being integrated with fields such as biology, physics, economics, and social sciences. This trend will likely continue, leading to new mathematical methods and theories that address complex, real-world problems.
"Ars Magna" is a significant book in the context of Cardano, a blockchain platform that aims to provide a more secure and scalable infrastructure for the development of decentralized applications and smart contracts. The title "Ars Magna," which translates to "The Great Art," is often associated with the philosophical and technical explorations of the Cardano project. The book outlines the foundational principles and theories behind Cardano's design, governance, and technology, including its emphasis on scientific rigor and academic research.
"As I was going to St. Ives" is a well-known English nursery rhyme and riddle. The poem begins with the speaker describing their journey to St. Ives, where they encounter a number of people and animals. The riddle aspect lies in the question of how many were going to St. Ives, as it plays with the details given throughout the poem.
Brahmagupta's interpolation formula is a technique for finding the value of a polynomial at a certain point, based on its values at known points. It is often used in the context of numerical analysis and can be particularly useful in the interpolation of data points. Brahmagupta's formula can be derived from the idea of using differences and polynomial interpolation, and it's closely related to what we now know as finite differences.
The British Society for the History of Mathematics (BSHM) is a professional organization dedicated to promoting the study and appreciation of the history of mathematics in the United Kingdom and beyond. Founded in 1994, the BSHM aims to foster interest in the historical context of mathematical developments, serve as a platform for scholars and enthusiasts to share research, and facilitate the exchange of ideas related to the history of mathematics.
Blackboard bold, also known as double-struck or gothic bold, is a typeface style used primarily in mathematics and physics notation. It is characterized by the use of boldface letters that resemble standard characters but have a more stylized appearance, often involving a double line effect. In typesetting, it is commonly used to represent certain sets or specific mathematical objects.
"Bracket" can refer to several different concepts depending on the context. Here are a few common meanings: 1. **Mathematics/Engineering**: In mathematics, a bracket is a symbol that is used to group numbers or variables (e.g., parentheses `()`, square brackets `[]`, or curly braces `{}`). In engineering, brackets can refer to structural elements that support or hold other parts in place.
The Canadian Society for History and Philosophy of Mathematics (CSHPM) is an academic organization dedicated to promoting scholarly research and discourse in the fields of history and philosophy of mathematics. Founded in Canada, its primary goals include facilitating communication and collaboration among researchers, organizing conferences, and publishing research findings related to the history and philosophy of mathematics.
Classical Hamiltonian quaternions refer to a mathematical framework that combines concepts from Hamiltonian mechanics with quaternion algebra. To understand this concept fully, it's helpful to break it down into its components. ### Quaternion Basics Quaternions are a number system that extends complex numbers.
Discovery of:
- the positron by Carl David Anderson
- he cosmic rays by Victor Francis Hess
Leonhard Euler (1707–1783) was one of the most prolific and influential mathematicians in history. His contributions span several areas of mathematics and other scientific disciplines. Here are some of his key contributions: 1. **Graph Theory**: Euler is often credited with founding graph theory, particularly through his solution to the Seven Bridges of Königsberg problem in 1736. He introduced the concept of a graph and laid the groundwork for the study of topological properties.
Georg Cantor's set theory, particularly his ideas about infinity and the various sizes or cardinalities of infinity, has generated substantial controversy and debate since its inception in the late 19th century. Here are some key points of contention: 1. **Concept of Actual Infinity**: Cantor introduced the idea of actual infinity, distinguishing between potential infinity (a process that could continue indefinitely) and actual infinity (a completed totality).
In mathematics, "dialling" doesn't refer to a widely recognized concept or term. However, it seems you may be asking about "dial" in the context of mathematics or related fields, or possibly a typographical error for "Dahlian" or something similar.
"Summa de arithmetica" is a significant mathematical work written by the Italian mathematician Luca Pacioli in 1494. The full title is "Summa de arithmetica, geometria, proportioni et proportionalità" (Summary of Arithmetic, Geometry, Proportions, and Proportionality). This work is noteworthy for being one of the first comprehensive texts on arithmetic and algebra in the Renaissance period.
"The Story of 1" is a children's book by author and illustrator, illustrating the concept of numbers and counting through a simple narrative. The book focuses on the number "1" and explores its significance in various contexts. It teaches children about individuality and the foundation of mathematics in a fun and engaging way. The story typically includes illustrations that depict one of various objects, animals, or scenarios that highlight the number one. The simplicity and repetition in the text help reinforce the concept for young readers.
"The Story of Maths" is a documentary series that explores the history and development of mathematics, highlighting its significance in various cultures and its evolution over time. The series typically delves into key mathematical concepts, notable mathematicians, and landmark discoveries while illustrating how mathematics has shaped human understanding of the world.
"Gaṇita-sāra-saṅgraha" is a significant historical text in the field of mathematics, particularly in Indian mathematics. Written by the mathematician Bhāskara I in the 7th century CE, it serves as a concise compilation of various mathematical concepts and methods. The title translates to "Essence of Mathematics" or "Compendium of Mathematics." The work is primarily notable for its early treatment of arithmetic, algebra, and geometry.
George Gheverghese Joseph is a distinguished mathematician and scholar known for his contributions to the history of mathematics, particularly in the context of the mathematics of the Indian subcontinent. He holds academic positions and has been involved in promoting the understanding of the historical and cultural aspects of mathematics. Joseph is also recognized for his advocacy of diverse mathematical perspectives and for highlighting the contributions of non-Western mathematicians.
The "Glossary of Invariant Theory" typically refers to a compilation of definitions, terms, and concepts related to invariant theory, a branch of mathematics that studies properties of algebraic objects that remain unchanged under certain transformations. Invariant theory is closely linked with group actions, especially in the context of algebraic geometry and representation theory.
Pinned article: ourbigbook/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