Solving Problems In Algebra and Trigonometry

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Author(s): V. Litvinenko, A. Mordkovich
Publisher: Mir Publishers
Year: 1988

Language: English
City: Moscow

Front Cover
Title Page
Preface
Contents
Part I ALGEBRA
Chapter 1 IDENTICAL TRANSFORMATIONS
SEC. 1. FACTORIZATION OF POLYNOMIALS
EXERCISES
SEC. 3. IDENTICAL TRANSFORMATIONS OF IRRATIONAL FUNCTIONS
SEC. 4. IDENTICAL TRANSFORMATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS
SEC. 5. PROVING INEQUALITIES
SEC. 6. COMPARING NUMERICAL EXPRESSIONS
Chapter 2 SOLVING EQUATIONS AND INEQUALITIES
SEC. 7. EQUIVALENT EQUATIONS
SEC. 8. RATIONAL EQUATIONS
SEC. 9. EQUATIONS CONTAINING MODULUS OF THE VARIABLE
SEC. 10. SYSTEM OF RATIONAL EQUATIONS
SEC. 11. PROBLEMS ON SETTING UP EQUATIONS AND SYSTEMS OF EQUATIONS
SEC. 12. IRRATIONAL EQUATIONS
SEC. 13. EXPONENTIAL EQUATIONS
SEC. 14. LOGARITHMIC EQUATIONS
SEC. 15. SYSTEMS OF EXPONENTIAL AND LOGARITHMIC EQUATIONS
SEC. 16. RATIONAL INEQUALITIES
SEC. 17. IRRATIONAL INEQUALITIES
SEC. 18. EXPONENTIAL INEQUALITIES
SEC. 19. LOGARITHMIC INEQUALITIES
SEC. 20. PARAMETRIC EQUATIONS AND INEQUALITIES
Part II TRIGONOMETRY
Chapter 3 IDENTICAL TRANSFORMATIONS
SEC. 21. IDENTICAL TRANSFORMATIONS OF TRIGONOMETRIC FUNCTIONS
SEC. 22. TRANSFORMING FUNCTIONS CONTAINING INVERSE TRIGONOMETRIC FUNCTIONS
SEC. 23. PROVING INEQUALITIES
Chapter 4 SOLVING EQUATIONS AND INEQUALITIES
SEC. 24. EQUATIONS
SEC. 25. SYSTEMS OF EQUATIONS
SEC. 26. INEQUALITIES
SEC. 27. PARAMETRIC EQUATIONS AND INEQUALITIES
Answers
Back Cover