9785030002224
Trigonometric Functions (Problem-Solving Approach) - A. Panchishkin, E. Shavgulidze
MIR (1988)
In Collection
#5390

Read It:
Yes
Trigonometrical Functions, Trigonometry

From the Authors:

By tradition, trigonometry is an important component of mathematics courses at high school, and trigonometry questions are always set at oral and written examinations to those entering universities, engineering colleges, and teacher-training institutes. The aim of this study aid is to help the student to master the basic techniques of solving difficult problems in trigonometry using appropriate definitions and theorems from the school course of mathematics. To present the material in a smooth way, we have enriched the text with some theoretical material from the textbook Algebra and Fundamentals of Analysis edited by Academician A. N. Kolmogorov and an experimental textbook of the same title by Professors N.Ya. Vilenkin, A.G. Mordkovich, and V.K. Smyshlyaev, focussing our attention on the application of theory to solution of problems. That is why our book contains many worked competition problems and also some problems to be solved independently (they are given at the end of each chapter, the answers being at the end of the book). Some of the general material is taken from Elementary Mathematics by Professors G.V. Dorofeev, M.K. Potapov, and N.Kh. Rozov (Mir Publishers, Moscow, 1982), which is one of the best study aids on mathematics for precollege students. We should like to note here that geometrical problems which can be solved trigonometrically and problems involving integrals with trigonometric functions are not considered. At present, there are several problem hooks on mathematics (trigonometry included) for those preparing to pass their entrance examinations (for instance, Problems at Entrance Examinations in Mathematics by Yu.V. Nesterenko, S.N. Olekhnik, and M.K. Potapov (Moscow, Nauka, 1983); A Collection of Competition Problems in Mathematics with Hints and Solutions edited by A.I. PriIepko (Moscow, Nauka, 1986); A Collection of Problems in Mathematics for Pre-college Students edited by A. I. Prilepko (Moscow, Vysshaya Shkola, 1983); A Collection of Competition Problems in Mathematics for Those Entering Engineering Institutes edited by M.1. Skanavi (Moscow, Vysshaya Shkola, 1980). Some problems have been borrowed from these for our study aid and we are grateful to their authors for the permission to use them. The beginning of a solution to a worked example is marked by the symbol .... and its end by the symbol ~. The symbol ~ indicates the end of the proof of a statement. Our book is intended for high-school and pre-college students. We also hope that it will be helpful for the school children studying at the "smaller" mechanicomathematical faculty of Moscow State University.

Product Details
No. of Pages 172