"Clavis Mathematicae," which translates to "The Key to Mathematics," is a work written by the mathematician and philosopher John Wallis in the 17th century. First published in 1657, it serves as a comprehensive exposition of mathematical concepts and forms a significant part of the history of mathematics. In this text, Wallis aimed to provide a systematic approach to mathematics, including various branches such as arithmetic, geometry, algebra, and calculus.
The "Code of the Quipu" refers to a system used by the Inca civilization for record-keeping and communication. The quipu (or khipu) is a collection of colored strings or cords that are knotted in various ways to convey information. Each knot and its color could represent different types of data, such as numerical values, dates, or even categorical information about resources, populations, or tribute.
"Complexities: Women in Mathematics" is a documentary film that explores the experiences and contributions of women in the field of mathematics. The film highlights the challenges that women mathematicians face, including issues related to gender bias, representation, and the barriers to entry and advancement in a traditionally male-dominated field. The documentary features interviews with various female mathematicians who share their personal stories, insights, and achievements.
"Concepts of Modern Mathematics" typically refers to a framework or collection of ideas that encompass various areas of mathematics as understood in the contemporary context. While the specific title may refer to a book or course, the concepts within modern mathematics often include several key themes: 1. **Abstractness and Generalization**: Modern mathematics frequently emphasizes abstract concepts and structures, moving away from concrete and numerical examples. This includes the use of set theory, group theory, and topology.
"Convex Polyhedra" is a significant mathematical book authored by G. B. F. (George B. F.) H. R. (Herman R.) A. (Alfred) Schleinck and F. G. (Frank G.) L. (Lothar) Schenker, originally published in 1970.
"Crocheting Adventures with Hyperbolic Planes" is a book by Daina Taimina that explores the fascinating intersection of mathematics and art through the medium of crochet. The book specifically focuses on hyperbolic geometry, a non-Euclidean geometric concept where, unlike flat (Euclidean) plane geometry, the parallel postulate does not hold.
"De Beghinselen der Weeghconst" (or "The Principles of Weighing") is a work written by the Dutch mathematician and engineer Simon Stevin in the late 16th century, specifically published in 1586. In this book, Stevin discusses the principles of mechanics, particularly focusing on the concepts of weights and measures. It is notable for introducing decimal notation to the world, which significantly influenced mathematics and science by making calculations more straightforward and efficient.
"De arte supputandi" is a Latin phrase that translates to "On the Art of Counting" or "On the Art of Calculation." It is often associated with works concerning arithmetic and mathematics, particularly in the context of teaching or explaining methods of numerical computation. One of the notable historical figures connected to this phrase is the 15th-century mathematician Johann Müller, commonly known as Regiomontanus, who wrote on various mathematical subjects, including arithmetic and astronomy.
"Does God Play Dice?" is a phrase that famously refers to a debate in the field of quantum mechanics regarding the nature of determinism and randomness in the universe. The phrase is often attributed to Albert Einstein, who was skeptical of the inherent randomness that quantum mechanics seems to imply. Einstein believed that the universe was fundamentally deterministic and that the apparent randomness in quantum mechanics was due to a lack of complete knowledge about underlying variables.
The Axiom of Choice (AC) is a significant principle in set theory and has several equivalent formulations and related principles that are considered in the realm of mathematics. Here are some of the prominent equivalents and related statements: 1. **Zorn's Lemma**: This states that if a partially ordered set has the property that every chain (totally ordered subset) has an upper bound, then the entire set has at least one maximal element.
"Euclid and His Modern Rivals" is a book written by the mathematician and philosopher in the early 20th century, Alfred North Whitehead. Published in 1903, the work is known for its critique of the foundational aspects of mathematics, particularly in relation to Euclidean geometry and the developments that followed in modern mathematics.
"Euclides Danicus" refers to the Danish edition of the mathematical work attributed to the ancient Greek mathematician Euclid, primarily known for his work in geometry, notably the "Elements." The term might be used in a specific context, such as a publication, translation, or interpretation of Euclid’s work that has been adapted or edited for a Danish-speaking audience. If it pertains to a specific book, author, or scholarly work, more details would be necessary to provide a precise explanation.
Roland Winston is an American physicist known for his work in the fields of optics and solar energy. He has made significant contributions to the development of non-imaging optics and concentrator photovoltaic systems. His research often focuses on enhancing the efficiency of solar energy collection and conversion, including innovative designs for solar concentrators and thermal collectors. In addition to his academic research, Winston has also been involved in the development of practical applications of his work in the solar industry.
"Finding Ellipses" does not seem to refer to a widely recognized concept, book, or specific topic based on the information available up to October 2023. It may be a phrase that describes a mathematical concept related to identifying or analyzing ellipses in geometry, or it could be the title of a work, project, or initiative that emerged after that date.
"Geometry From Africa" typically refers to the study and exploration of geometric concepts and principles as they relate to African cultures and histories. This can include the analysis of geometric patterns, designs, and structures found in traditional African art, textiles, architecture, and crafts. These geometric patterns are often deeply embedded in the cultural, spiritual, and social practices of various African communities.
"Gradshteyn and Ryzhik" refers to the book "Table of Integrals, Series, and Products," authored by I.S. Gradshteyn and I.M. Ryzhik. This comprehensive reference work, first published in 1943, is widely regarded in mathematics, physics, engineering, and other scientific disciplines for its extensive collection of mathematical formulas, integral tables, series expansions, and other related mathematical functions.
"Gödel, Escher, Bach: An Eternal Golden Braid," often abbreviated as GEB, is a Pulitzer Prize-winning book written by Douglas Hofstadter and published in 1979. The book explores the connections between the works of logician Kurt Gödel, artist M.C. Escher, and composer Johann Sebastian Bach, using their respective contributions as a framework to delve into topics in mathematics, art, music, and cognitive science.
"Harmonices Mundi," also known as "The Harmony of the World," is a work by the German mathematician and astronomer Johannes Kepler, published in 1619. This book is significant in the history of science as it presents Kepler's theories about the relationships between the distances of the planets from the Sun and their respective orbital periods.
"Horologium Oscillatorium" is a significant work in the history of science, written by the French philosopher and mathematician Christiaan Huygens and published in 1673. The title translates to "The Oscillating Clock" or "The Oscillating Timepiece." In this treatise, Huygens describes his research on the principles of pendulum motion, particularly how pendulums can be used to improve the accuracy of clocks.
"How to Solve It" is a book written by the mathematician George Pólya, first published in 1945. The book provides a systematic approach to problem-solving in mathematics and is widely regarded as a classic in the field of mathematical education. Pólya outlines a four-step method for solving problems: 1. **Understanding the Problem**: This involves identifying the knowns and unknowns, clarifying what is being asked, and ensuring that the problem is well understood.

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 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.
  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