"Works" about the history of mathematics can refer to a variety of texts, including books, articles, and papers that explore the development of mathematical concepts, theories, and practices over time.
A glossary of calculus typically includes key terms and definitions that are fundamental to understanding the concepts and techniques in this branch of mathematics. Here is a list of common terms and their meanings: 1. **Limit**: A value that a function approaches as the input approaches a certain point. 2. **Derivative**: A measure of how a function changes as its input changes; it represents the slope of the tangent line to the graph of the function at a given point.
"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.
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.
The history of computing is a fascinating journey that chronicles the evolution of computing machinery, algorithms, and the general concept of computation. Here’s an overview of key developments throughout this history: ### Ancient to Medieval Periods - **Abacus (circa 500 BC)**: The earliest known computing device, used for basic arithmetic calculations. - **Antikythera Mechanism (circa 150 BC)**: An ancient Greek analog computer used to predict astronomical positions and eclipses.
In mathematics, the term **order** can refer to several different concepts depending on the context. Here are a few key interpretations: 1. **Order of an Element**: In group theory, the order of an element \( g \) in a finite group is the smallest positive integer \( n \) such that \( g^n = e \), where \( e \) is the identity element of the group.
The Kraków School of Mathematics refers to a significant historical network of mathematicians centered in Kraków, Poland, particularly during the interwar period (1918-1939). This group was notable for its contributions to various fields of mathematics, including functional analysis, set theory, and topology.
The Mathematical Tables Project refers to a historical initiative primarily aimed at compiling, producing, and disseminating mathematical tables to aid in calculations and various scientific computations. One prominent example of such an effort is the "Mathematical Tables" created by mathematicians in the early to mid-20th century, often involving extensive collaborations and labor. These tables typically included values for functions such as logarithms, trigonometric functions, exponential functions, and other mathematical computations that were labor-intensive to calculate by hand.
The Mathematische Arbeitstagung, often abbreviated as MAT, is a mathematical conference that typically brings together mathematicians to discuss recent research, developments, and ideas in various fields of mathematics. The term is German for "Mathematical Working Conference." These gatherings provide a platform for sharing scientific findings, networking among researchers, and fostering collaboration in the mathematical community. Such events often feature presentations, discussions, and workshops focusing on both theoretical and applied mathematics.
The term "Classification Theorem" can refer to various significant results in different fields of mathematics and science, so the meaning can vary depending on the context. Here are a few notable examples: 1. **Classification Theorem for Finite Groups**: In group theory, the classification of finite simple groups is a major result that categorizes all finite simple groups into several families, along with a number of exceptional groups.
Mathematical principles refer to fundamental concepts, theories, and rules that govern the field of mathematics. These principles serve as the foundation for mathematical reasoning and problem-solving. Here are some key aspects of mathematical principles: 1. **Axioms and Postulates**: These are basic statements or assumptions that are accepted without proof. They form the foundation from which other statements are derived.
"The Whetstone of Witte" is a 16th-century philosophical treatise written by the English scholar and teacher, Richard Mulcaster. The work is primarily concerned with educational theory and practice, emphasizing the importance of a well-rounded education that includes not only academic knowledge but also moral and physical development. In "The Whetstone of Witte," Mulcaster argues for the significance of language and literature in education, promoting the study of classical texts alongside practical subjects.
"Zahlbericht" is a German term that translates to "report on numbers" or "numerical report" in English. It typically refers to a document or report that presents data, statistics, or financial figures. Depending on the context, it could be used in various fields such as finance, economics, business analysis, or even in scientific research to convey quantitative findings.
Cyclical monotonicity is a concept from mathematics, particularly in the field of optimal transport and convex analysis. It is used to characterize certain types of functions, specifically in the context of measures and distributions over metric spaces.
Markov chains are mathematical models that describe systems that transition from one state to another in a memoryless manner, meaning the next state depends only on the current state and not on the previous states. Here are some common examples of Markov chains in various fields: 1. **Game of Monopoly**: The positions of players on a Monopoly board can be modeled as a Markov chain, where each space on the board represents a state.
Mathematical symbols are characters or notations used to represent mathematical concepts, operations, relationships, and quantities. They serve as a universal language that allows mathematicians and scientists to communicate ideas clearly and concisely.
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





