# Problems In Mathematics

210.00

• Paper Book

MTG’s “Problems in Mathematics” by V. Govorov, P. Dybov, N. Miroshin & S. Smirnova is a comprehensive and effective resource for mastering calculus concepts and problem-solving techniques. It contains challenging problems to helps you ace mathematics effectively.

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MTG’s “Problems in Mathematics” is a concise and comprehensive resource which offers a diverse collection of challenging mathematical problems, covering a wide range of topics, from algebra and geometry to trigonometry and calculus. It has a vast no. of questions along with answers given at the end of the book.

It is beneficial for students preparing for:

• JEE
• WBJEE
• BITSAT
• KCET
• KEAM
• MHT CET
• Preface (iii)
• Part 1. Algebra, Trigonometry, and Elementary Functions
• 1.1. Problems on Integers. Criteria for Divisibility
• 1.2. Real Numbers. Transformation of Algebraic Expressions
• 1.3. Mathematical Induction. Elements of Combinatorics
• Binomial Theorem
• 1.4. Equations and Inequalities of the First and the Second Degree
• 1.5. Equations of Higher Degrees. Rational Inequalities
• 1.6. Irrational Equations and Inequalities
• 1.7. Systems of Equations and Inequalities
• 1.8. The Domain of Definition and the Range of a Function
• 1.9. Exponential and Logarithmic Equations and Inequalities
• 1.10. Transformations of Trigonometric Expressions
• Inverse Trigonometric Functions
• 1.11. Solution of Trigonometric Equations, Inequalities, and Systems of Equations
• 1.12. Progressions
• 1.13. Solution of Problems on Derivation of Equations
• 1.14. Complex Numbers
• Part 2. Fundamentals of Mathematical Analysis
• 2.1. Sequences and Their Limits. An Infinitely Decreasing Geometric Progression. Limits of Functions
• 2.2. The Derivative. Investigating the Behaviour of Functions with the Aid of the Derivative
• 2.3. Graphs of Functions
• 2.4. The Antiderivative. The Integral. The Area of a Curvilinear Trapezoid
• Part 3. Geometry and Vector Algebra
• 3.1. Vector Algebra
• 3.2. Plane Geometry. Problems on Proof
• 3.3. Plane Geometry. Construction Problems
• 3.4. Plane Geometry. Calculation Problems
• 3.5. Solid Geometry. Problems on Proof
• 3.6. Solid Geometry. Calculation Problems
• Part 4. Oral Examination Problems and Questions
• 4.1. Sample Examination Papers
• 4.2. Problems Set at an Oral Examination