"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.
"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.
"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.
"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.
"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.
"Hydrodynamica" is a term that can refer to several subjects, but it is most commonly associated with the work of Dutch scientist Daniel Bernoulli, particularly his book titled "Hydrodynamica," published in 1738. In this seminal work, Bernoulli laid the foundations for fluid dynamics, which is the study of the behavior of fluids (liquids and gases) in motion.
"In Pursuit of the Unknown" is a book written by the mathematician Ian Stewart. Published in 2013, it explores the role of mathematics in various fields and how it helps to describe and understand the world around us. The book delves into the nature of mathematical thought, the beauty of mathematical ideas, and the ways in which mathematics can be used to solve real-world problems.
Here is a list of notable books about polyhedra that cover a range of topics, including their mathematical properties, geometric constructions, and applications: 1. **"Polyhedra" by Peter Henderson** - This book provides an introduction to polyhedra, exploring their geometric properties and features. 2. **"Regular Polytopes" by H.S.M.
"Journey into Geometries" is a term that can refer to various explorations of geometrical concepts in mathematics, art, and science, focusing on how different geometries can be understood and applied. It often encompasses discussions around non-Euclidean geometries, topology, and their implications in various fields.
Markov chains are a fundamental concept in probability theory and stochastic processes. They consist of a sequence of random variables representing a process that transitions from one state to another in a way that depends only on the current state, not on the history of how that state was reached. This memoryless property is characteristic of Markov processes. ### Key Concepts of Markov Chains: 1. **States**: The possible configurations or conditions in which the process can exist.
"Mathematical cranks" refers to individuals who have unconventional or unorthodox ideas about mathematics, often accompanied by an inflated sense of confidence in their theories. These individuals may believe they have made groundbreaking discoveries or solved longstanding problems in mathematics, but their claims often lack rigorous proof or are based on misunderstandings of mathematical principles. The term "crank" itself can apply to various fields but is particularly noted in mathematics.
"Mathematics Made Difficult" is a book authored by William James Wilkerson published in 1937. It provides an exploration of mathematical concepts and the challenges they can pose to learners. The book is often characterized by its humor and unconventional approach, discussing various mathematical principles in ways that highlight the complexities and frustrations that students may encounter. The text is known for its engaging style, blending anecdotes and illustrations to illustrate the difficulties some may face in understanding mathematics.
"Mathematics and Plausible Reasoning" is a concept popularized by the mathematician Richard H. Tharp in the context of mathematical thinking and problem-solving. The idea generally refers to the methods and processes involved in reasoning that may not always rely on strict formal proofs but instead on logical inference, intuition, and plausible arguments. **Key Concepts:** 1.
"Number Theory: An Approach Through History from Hammurapi to Legendre" is a mathematical text that explores the development of number theory throughout history, spanning from ancient civilizations to the 19th century. Authored by the mathematician Oystein Ore, the book delves into the historical context of mathematical discoveries and how they influenced the evolution of number theory.
As of my last update in October 2023, "Pasta by Design" does not refer to any widely recognized brand, concept, or event. It's possible that it could be a local restaurant, a food concept, or a design initiative focused on pasta, but without specific context, it's challenging to provide a definitive answer.
"Prime Obsession" is a book by mathematician John Derbyshire that focuses on the Riemann Hypothesis, one of the most famous and longstanding unsolved problems in mathematics. The book aims to explain the significance of this hypothesis to both mathematicians and those who may not have a deep background in mathematics.
"Proofs from THE BOOK" is a popular mathematics book written by the mathematician Martin Aigner and his colleague Günter M. Ziegler. The book, first published in 1998, is a collection of elegantly simple and insightful proofs of various theorems in mathematics, particularly in the fields of combinatorics, geometry, number theory, and analysis.
Quasicrystals are a unique class of materials that exhibit a form of order that is not periodic, distinguishing them from traditional crystalline structures. While conventional crystals have a repeating unit cell that creates a periodic lattice, quasicrystals possess an ordered structure that lacks translational symmetry, meaning they do not repeat at regular intervals. This results in a variety of complex shapes and patterns that can be difficult to visualize and comprehend.
"Significant Figures" is a title that is often associated with a variety of works across different genres, including novels, academic texts, or even instructional materials related to mathematics and sciences. Without more specific context about the author or the subject matter, it’s difficult to pinpoint a specific book. In general, "significant figures" in a mathematical or scientific context refer to the digits in a numerical value that contribute to its precision.
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





