D. M. G. Wishart is a British mathematician known for his contributions to statistics, particularly in the area of multivariate statistical analysis. He is credited with developing the Wishart distribution, which is a probability distribution over positive definite matrices. The Wishart distribution plays a significant role in statistical inference, particularly in estimating the covariance matrix of multivariate normal distributions.
"De Gradibus" is a treatise attributed to the ancient Roman philosopher and poet Lucretius, though it is not widely known or discussed. The term "de gradibus" translates to "On Degrees" in Latin, and it's often used in contexts related to measurement, scales, or gradation in various fields, including philosophy and science. However, it is worth noting that "De Gradibus" itself may also refer to different works or texts depending on the context.
The SAT Subject Test in Mathematics Level 1, also known as the SAT Math Level 1 test, was a standardized exam that assessed a student's proficiency in mathematical concepts typically covered in a high school mathematics curriculum.
"Counting on Frameworks" typically refers to an approach in educational contexts, particularly in mathematics, where students build their understanding and skills by using structured frameworks or models for counting and number sense. This concept is often aimed at helping learners develop a solid foundation in numeracy through systematic counting strategies.
John Derbyshire is a British-American author, essayist, and commentator known for his work on various topics including mathematics, science, and political commentary. He is also known for his controversial views on race and immigration. Derbyshire has written for several publications, including National Review, where he was a contributor for many years before he was dismissed in 2012 due to his views, particularly expressed in a controversial article that was criticized for promoting racial segregation.
Clifton Fadiman was a notable American author, editor, and radio personality, born on March 15, 1904, and passing away on June 20, 1999. He is best remembered for his work in the literary world, particularly for his role in popularizing literature through his writings and broadcasts. Fadiman served as an editor for various publications and was also known for his engaging essays and anthologies that aimed to make literature more accessible to the general public.
Rob Eastaway is a British author and mathematician known for his work in popularizing mathematics and its applications. He has written several books on mathematical concepts, often aimed at making them accessible and engaging for a general audience. Eastaway has also contributed to various education initiatives, promoting the importance of mathematics in everyday life. Some of his notable works include "Why Do Buses Come in Threes?" and "The Hidden Maths of Sport.
John Tierney is an American journalist known for his work as a writer and columnist, particularly for The New York Times. He has covered a variety of topics, including science, politics, and social issues. Tierney gained recognition for his analytical and often contrarian views, which challenge conventional wisdom, especially in the realms of public policy and environmental issues. In addition to his work at The New York Times, Tierney has written for various publications and has authored books.
Simon Singh is a British science writer and journalist, known for his work in popularizing science and mathematics. He has authored several influential books, including "Fermat's Enigma," which discusses the history and significance of Fermat's Last Theorem, and "The Code Book," which explores the history of cryptography. Singh is also recognized for his contributions to television, having produced and presented documentaries on scientific topics.
"Addison-Wesley Secondary Math: An Integrated Approach: Focus on Algebra" is a mathematics textbook designed for secondary education, emphasizing algebraic concepts and skills. This textbook is part of the Addison-Wesley series, which has been known for producing educational materials in mathematics. The "Integrated Approach" indicates that the textbook aims to connect various branches of mathematics, such as algebra, geometry, and statistics, rather than treating them as separate subjects.
"Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes" is a work by the French mathematician and philosopher Jean le Rond d'Alembert, published in 1743. The title translates to "Analysis of Infinitesimals for the Understanding of Curved Lines." This work is significant in the history of calculus and mathematical analysis.
"Arithmetic" is a title that can refer to multiple works, but one of the most prominent is "Arithmetic," written by the ancient Greek mathematician Diophantus, often considered the "father of algebra." Diophantus's work is significant for its early treatment of equations and its methods of solving them, laying groundwork for later developments in algebra. Another notable work is "Arithmetic," a textbook by the American mathematician and educator Paul G.
"Foundations of Differential Geometry" typically refers to a foundational text or a collection of principles and concepts that establish the basic framework for the subject of differential geometry. Differential geometry itself is a mathematical discipline that uses techniques of calculus and linear algebra to study geometric problems. It has applications in various fields, including physics, engineering, and computer science. The foundations of differential geometry generally include: 1. **Smooth Manifolds**: Definition and properties of manifolds, including differentiable structures.
"Institutions calculi integralis" is a foundational work on integral calculus by the mathematician Leonhard Euler. Published in the 18th century, it serves as an introduction to the principles and techniques of integral calculus, along with applications and theoretical insights. The book is notable for its systematic presentation of the subject and Euler's ability to introduce new mathematical concepts.
Stephen Wolfram is a British-American computer scientist, entrepreneur, and theoretical physicist, best known for his work in computational science. He is the founder and CEO of Wolfram Research, a company known for developing technology tools and software, most notably Mathematica, a powerful computational software system used for symbolic and numerical calculations, as well as for data visualization and programming.
Steven Goldberg could refer to multiple individuals, but one notable figure is an American author, educator, and historian known for his work in sociology and other academic fields. He may also be involved in various other professions, including business, entertainment, or academia.
The Doctrine of Chances is a principle in probability theory that deals with the likelihood of events occurring over a repeated series of trials or circumstances. It essentially states that if an event occurs multiple times under similar conditions, the probability of observing that event is favorable to its prior estimates based on previous occurrences. This concept is often applied in fields such as statistics, gambling, and risk assessment.
Vector analysis is a branch of mathematics focused on the study of vector fields and the differentiation and integration of vector functions. It is widely used in physics and engineering to analyze vector quantities such as velocity, force, and electric and magnetic fields. The main concepts in vector analysis include: 1. **Vectors**: Objects that have both magnitude and direction, represented in a coordinate system. 2. **Vector Fields**: A function that assigns a vector to every point in space.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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