Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective.
The Finnish mathematician and astronomer Anders Johan Lexell (1740-1784) was a long-time close collaborator as well as the academic successor of Leonhard Euler at the Imperial Academy of Sciences in Saint Petersburg.
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order.
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order.
The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics.
This book argues that we can only understand transformations of nature studies in the Scientific Revolution if we take seriously the interaction between practitioners (those who know by doing) and scholars (those who know by thinking).
In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics-why do so many middle-school and secondary-school students find it difficult to learn algebra well?
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900.
This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Societe Canadienne d'Histoire et de Philosophie des Mathematiques, held at the University of Calgary in Alberta, Canada.
This book presents the entire body of thought of Norbert Wiener (1894-1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live.
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry.
• Numerous recent discoveries of rare historical analog and digital calculators and previously unknown texts, drawings, and pictures from Germany, Austria, Switzerland, Liechtenstein, and France.
• Numerous recent discoveries of rare historical analog and digital calculators and previously unknown texts, drawings, and pictures from Germany, Austria, Switzerland, Liechtenstein, and France.
Book IV of the Konika consists of two parts; the first presents a theory of poles and polars, the second deals with the number of intersections and points of contact in a conic section.
The first three books of the Conica deals with the basic elements of the theory of conical sections, before Apollonius turns to particular problems in the following books.
