Which trigonometry course? Rashevsky, Rybkin, Davidov, Anoshchenko, Derzhavin
Five complete plane-trigonometry courses are in the catalogue, from an 81-page short course to a 192-page full course. All place at US grades 10–12 and England Years 10–13.
The books compared
| Book | Length | Goes further on | Exercises |
|---|---|---|---|
| Rashevsky's Trigonometry$39.95 | 81 pages | the short course: functions, radian measure, identities, equations, triangles | with answers |
| Rybkin's Plane Trigonometry$49.95 | 117 pages, 11 chapters, 126 sections | graphs of the functions; a chapter of trigonometric equations; how the tables are built; field measurement | worked examples, no exercise sets |
| Davidov's Trigonometry$49.95 | 176 pages, 97 sections | spherical trigonometry; a Supplement reaching De Moivre's formula and infinite series | 265 problems, 212 answered |
| Anoshchenko's Trigonometry$49.95 | 188 pages, 25 chapters | field triangulation; trigonometric equations, inverse functions, maxima and minima | no exercise sets in the contents; pair with a problem book |
| Derzhavin's Trigonometry$54.95 | 192 pages, 86 sections | logarithmic tables bound in; the derivative; series for sine and cosine; computing π | no exercise sets in the contents; pair with a problem book |
How to choose
- A first course, quickly
- Rashevsky's Trigonometry. It is the shortest, it carries exercises with answers, and it stops at the solution of triangles.
- The graphs a modern course expects
- Rybkin's Plane Trigonometry or Derzhavin's Trigonometry, the two that include the graphs of the functions. Rybkin's has no exercise sets of its own, so pair it with Rybkin's Trigonometry Problems.
- Spherical trigonometry, or a bridge towards analysis
- Davidov's Trigonometry, with a full spherical part and 265 problems.
- The full classical course with tables and measurement in the field
- Derzhavin's Trigonometry or Anoshchenko's Trigonometry. Derzhavin's reaches the derivative and series; Anoshchenko's gives more room to equations, inverse functions and maxima and minima.
Problem books
- Rybkin's Trigonometry Problems — 1,009 problems with an answer key; Part Two reaches solid geometry · $44.95
- Vereshchagin's Plane Trigonometry — includes a physics section · $49.95
- Schiff's Trigonometry Problems — 389 problems with 306 further parts · $39.95
Before and after
All five follow the second course in algebra (Which algebra book, with exercises and answers?) and lead to Kiselev's Calculus.