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Problems In Mathematics With Hints and Solutions is a comprehensive guidebook for candidates who are preparing for their engineering entrance exams and other competitive examinations. Summary Of The Book Problems In Mathematics With Hints and Solutions has been written for students preparing for various entrance exams, as an aid for teachers, and for all those who want to improve their mathematical skills. The authors have included all the essential topics in this book. The in-depth analysis of all these topics, coupled with the hints and solutions provided, make it very easy for the students to grasp the topics. Problems In Mathematics With Hints and Solutions is divided into 4 parts. The first part is Algebra and Trigonometry. This part contains topics like Integers, Divisibility, Combinatorics, Mathematical Induction, Inverse Trigonometric Functions, Irrational Equations, Systems of Equations, Logarithmic Equations, Progressions, Complex Numbers, and Transformations of Trigonometric Expressions. Part 2 of the book is Mathematical Analysis Fundamentals. The topics included are, Derivative, Sequences and their Limits, Antiderivative, and The Integral. The third part, Vector Algebra and Geometry, includes Plane Geometry (Calculation Problems, Construction Problems and Problems on Proof), Vector Algebra and Solid Geometry. The fourth part includes Problems and Questions for oral examinations. This part contains Problem Set for Oral Examination and Sample Exam Papers. This part focuses on the questions that are expected at the examinations. Problems In Mathematics With Hints and Solutions provides the students with all the required theoretical knowledge, as well as numerous solved examples, for easy understanding of concepts. There are over 3000 problems in the book. Most of these problems have been contributed by universities and high schools in the USSR. Answers to all the problems have been provided, some have been provided with complete solutions, and others have also been provided with additional hints. The difficult problems have been marked with asterisks. To make it easy for the readers to understand, the authors have supplemented some of the sections with text. The authors, who examined students in high schools, and also prepared television courses to help students preparing for their entrance exams, have used all this experience while writing this book. About The Authors V. Govorov, P. Dybov, N. Miroshin, and S. Smirnova, have also co-written Problems In Mathematics.