Heavenly mathematics Van Brummelen, Glen
2012., 20121223, 2012, 2013-01-01
eBook
Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject ...in high schools until the 1950s. Today, however, it is rarely taught.Heavenly Mathematicstraces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions.
Heavenly Mathematicsis illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries.
The book develops new methodologies to unravel the mathematics of nonlinear dynamics using simple trigonometry. It offers a complete tutorial for neophytes, as well as experts, in nonlinear dynamics, ...as it examines, using an original and simple approach, the fundamental example of Chaos, the Lorenz-Haken equations, with high order trigonometry. The book will appeal to physicists, mathematicians, and graduate and undergraduate students alike.
This research is a descriptive-analytical study that aims to describe how student solve high order thinking (HOT) problem. The research subject was a student who was chosen based on HOT ...problem-solving in a non-routine way and took a mathematics course at Science Education of Universitas Sarjanawiyata Tamansiswa Yogyakarta DS Setiana1. Data were collected using observation, documentation and interviews methods, then will be analyzed descriptively. Based on the analysis that has been done, it was found that: (1) the strategy used by the student to solve the HOT problem was obtained from the internet; (2) there are errors when student applied the strategy that has been obtained in solving the HOT problem; (3) the student have difficulties when solving HOT problem in the same way. The results of this analysis are expected to provide a little description for educational activists related to the solving of HOT problem by students.
Lagrange's Trigonometric Identity is usually proven analytically by summing a geometric series in the complex numbers. This Proof Without Words is purely geometric.
Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The ...modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned. The Algebra and Trigonometry 2e revision focused on improving relevance and representation as well as mathematical clarity and accuracy. Introductory narratives, examples, and problems were reviewed and revised using a diversity, equity, and inclusion framework. Many contexts, scenarios, and images have been changed to become even more relevant to students’ lives and interests. To maintain our commitment to accuracy and precision, examples, exercises, and solutions were reviewed by multiple faculty experts. All improvement suggestions and errata updates from the first edition were considered and unified across the different formats of the text. The first edition of Algebra and Trigonometry by OpenStax is available in web view here.
SummaryWe give two formulas for finding the volumes of solids of revolution in hyperbolic geometry. We also prove each formula. These formulas and their proofs are analogous to the ones in Euclidean ...geometry. We also provide several examples of their use. These formulas may be useful in college geometry courses that include a section on hyperbolic geometry.
Mathematic Nasution, Mahyuddin K M; Salim Sitompul, Opim; Nasution, Sawaluddin ...
Journal of physics. Conference series,
06/2020, Letnik:
1566, Številka:
1
Journal Article
Recenzirano
Odprti dostop
This paper provides a classical interpretation of mathematics from terms to categories such as arithmetic, geometry, algebra, and trigonometry. The background of interpretation is based on ...mathematics itself as reasoning, which contains systematic and structure. However, the mathematical term is recognized by them, but it comes with a variety of symbols and ways of interpretation. That interpretation is accumulated into universe of discourse which is a means of mathematics itself, and it states the mathematic.
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