In this post, we will see the book Solving Problems In Algebra and Trigonometry - V. Litvinenko, A. Mordkovich. About the book:This study aid is intended for students of physical and mathemati­cal faculties of pedagogical institutes.The book contains about 2000 examples, problems, and exercises of which 1700 problems are for solving independently. Along with rather simple problems, there are also problems whose solution requires serious and sometimes inventive work. In the course of preparing the manuscript for print we tried to distribute the space among the basic types of “school” problems in algebra and trigonom­etry. Solving these problems will help the student to acquire pro­fessional skill necessary for a teacher who must know how to solve mathematical problems of the high-school level.This book is not only a collection of problems, it is rather a study aid for practical work, as can be seen in the structure of the text­ book. Each section contains necessary theoretical material and an ample number of worked examples (the total number of which amounts to about 300), which are very useful for the student pri­ marily from the methodological point of view.The book was translated from the Russian by Leonid Levant and was first published by Mir in 1987.PDF | Bookmarked | Cover Contents PART 1. ALGEBRA 7Chapter 1. IDENTICAL TRANSFORMATIONS 7Sec. 1. Factorization of Polynomials 7 Sec. 2. Identical Transformations of Rational Functions 11 Sec. 3. Identical Transformations of Irrational Functions 20 Sec. 4. Identical Transformations of Exponential and Logarith­mic Functions 29 Sec. 5. Proving Inequalities 33 Sec. 6. Comparing Numerical Expressions 41Chapter 2. SOLVING EQUATIONS AND INEQUALITIES 45PART II. TRIGONOMETRY 202Chapter 3. IDENTICAL TRANSFORMATIONS 202Sec. 21. Identical Transformations of Trigonometric Functions 202 Sec. 22. Transforming Functions Containing Inverse Trigonometric Functions 218 Sec. 23. Proving Inequalities 224Chapter 4. SOLVING EQUATIONS AND INEQUALITIES 234Sec. 24. Equations 234 Sec. 25. Systems of Equations 254 Sec. 26. Inequalities 265 Sec. 27. Parametric Equations and Inequalities 276Answers 287