"Mathematical Models" by Cundy and Rollett is a well-known book that serves as an introduction to the concept of mathematical modeling across various fields. The authors, G. W. Cundy and A. E. Rollett, aim to demonstrate how mathematical techniques can be applied to solve real-world problems. The book covers a variety of topics, including geometrical models, optimization, algebraic structures, and combinatorial problems.
"Mathematical Models" by Fischer typically refers to a specific work or textbook authored by mathematician and educator, likely focusing on the application of mathematical concepts and techniques to model real-world phenomena. Mathematical modeling involves creating abstract representations of systems or processes using mathematical structures, which can be used to analyze, predict, or simulate behavior.
"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.
Mechanica can refer to a few different concepts depending on the context. Here are a few interpretations: 1. **Mechanica (Game)**: There's a video game called "Mechanica," which is an indie title that involves mechanics and puzzles. Players often engage in building and manipulating machines to solve challenges.
"Methoden der mathematischen Physik," translated as "Methods of Mathematical Physics," typically refers to a set of mathematical techniques and tools used to solve problems in physics. This encompasses a variety of mathematical concepts and methods that are foundational for analyzing physical systems, including but not limited to: 1. **Differential Equations**: Many physical systems are described by ordinary or partial differential equations (PDEs).
Metric structures for Riemannian and non-Riemannian spaces refer to mathematical frameworks used to study the geometric and topological properties of spaces equipped with a metric, which measures distances between points. The distinction between Riemannian and non-Riemannian spaces primarily revolves around the kinds of metrics used and the geometric structures that arise from them. ### Riemannian Spaces 1.
"Murderous Maths" is a popular series of children's books authored by British writer and mathematician Kjartan Poskitt. The series is designed to make mathematics engaging and accessible for young readers, often utilizing humor, illustrations, and engaging storytelling to explain mathematical concepts. Each book in the series covers different aspects of mathematics, from basic arithmetic to more advanced topics like geometry and probability.
"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.
"Opera Omnia Leonhard Euler" refers to the complete works of the Swiss mathematician and physicist Leonhard Euler, who is considered one of the most prolific and important mathematicians in history. The term "Opera Omnia" is Latin for "all works" or "complete works." Euler made significant contributions to a wide range of mathematical fields, including calculus, graph theory, topology, number theory, mechanics, and astronomy, among others.
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.
"Perspectiva Corporum Regularium" is a treatise authored by the Italian mathematician and artist Federico Commandino in the 16th century. The title translates to "Perspective of Regular Bodies," and the work focuses on the geometric properties and perspective representations of regular polyhedra. In this treatise, Commandino explores the mathematical principles behind the visualization of three-dimensional shapes in two-dimensional perspectives.
"Polyhedra" is a book written by the mathematician and artist Pierre Scherrer. Published in various editions, the book explores the geometric properties and characteristics of polyhedra, which are solid figures with flat polygonal faces, straight edges, and vertices. The book typically covers various types of polyhedra, their classifications, and intricate relationships. It often includes visual representations, mathematical analyses, and historical context.
"Polyominoes: Puzzles, Patterns, Problems, and Packings" is a book that explores the mathematical and recreational aspects of polyominoes, which are geometric shapes formed by joining one or more equal-sized squares edge to edge. The book discusses various topics related to polyominoes, including their enumeration, tiling problems, combinatorial properties, and applications in puzzles and games.
Primality testing is the process of determining whether a given number is prime or composite. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Conversely, a composite number is a natural number greater than 1 that has at least one divisor other than 1 and itself. ### Basic Concepts: 1. **What is a Prime Number?
"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 and Refutations" is a philosophical and mathematical work by the British mathematician and philosopher Imre Lakatos, first published in 1976. The text is framed as a dialogue between a fictional mathematician and his students, exploring the nature of mathematical reasoning and the development of mathematical knowledge.
"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.
In mathematics, "regular figures" typically refer to regular polygons and regular polyhedra. 1. **Regular Polygons**: A regular polygon is a two-dimensional shape that has all sides of equal length and all interior angles of equal measure. Examples include equilateral triangles, squares, pentagons, hexagons, etc. The properties of these figures make them symmetrical and aesthetically pleasing.
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 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