Which Books Are Best for Learning Spherical Trigonometry?

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SUMMARY

The discussion highlights key resources for learning spherical trigonometry, emphasizing the book 'Spherical Trigonometry: "For the Use of Colleges and Schools"' by I. Todhunter as a foundational text. Additionally, W.M. Smart's "Textbook on Spherical Astronomy" is recommended for its relevant chapter on spherical trigonometry within an astronomical context. Glen Van Brummelen's "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry" is noted for its historical insights and instructional value. The availability of Todhunter's work through the Gutenberg Project is also mentioned, providing easy access to this essential resource.

PREREQUISITES
  • Understanding of basic trigonometric concepts
  • Familiarity with spherical geometry
  • Knowledge of astronomy principles (for context in W.M. Smart's book)
  • Access to digital libraries like Project Gutenberg for free resources
NEXT STEPS
  • Research 'Spherical Trigonometry: "For the Use of Colleges and Schools"' by I. Todhunter
  • Explore W.M. Smart's "Textbook on Spherical Astronomy" for applications in astronomy
  • Read Glen Van Brummelen's "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry"
  • Investigate additional resources on spherical geometry and its applications
USEFUL FOR

Students, educators, and professionals in mathematics and astronomy seeking to deepen their understanding of spherical trigonometry and its applications in various fields.

Wrichik Basu
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What are some good books to learn spherical trigonometry from basics to the advanced level?
 
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As far as I know, the bibliography on this subject is mostly old. One good book is 'Spherical Trigonometry: "For the Use of Colleges and Schools" ' by I.Todhunter. There is also this one that has entered the public domain as its copyright has expired so it is available by Google.

As an aside, one good book that I've read that is about Spherical Astronomy - including one chapter of Spherical Trigonometry, is W.M.Smart's "Textbook on Spherical Astronomy" in case you're interested for spherical trigonometry in the context of Astronomy.
 
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QuantumQuest said:
As far as I know, the bibliography on this subject is mostly old. One good book is 'Spherical Trigonometry: "For the Use of Colleges and Schools" ' by I.Todhunter. There is also this one that has entered the public domain as its copyright has expired so it is available by Google.

As an aside, one good book that I've read that is about Spherical Astronomy - including one chapter of Spherical Trigonometry, is W.M.Smart's "Textbook on Spherical Astronomy" in case you're interested for spherical trigonometry in the context of Astronomy.

Gutenberg project has TeXed up version of I.Todhunter's book http://www.gutenberg.org/files/1977...n_id=dac72e51d0dc3808c216536dba2bbb5626215aa7.
 
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I've read Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry by Glen Van Brummelen. I found it to be good. It's a blend of history text and mathematics instruction.
 
Thanks everyone for the recommendations. I'll surely check then out.
 
A. A. Klaf, Dover.
 

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