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# The Ultimate Resource for Competitive Exams: Problems In Mathematics By V Govorov

If you are looking for a comprehensive and challenging book on mathematics, you might have come across Problems In Mathematics By V Govorov. This book is a classic text that contains hundreds of problems with hints and solutions on various topics of mathematics. It is widely used by students and teachers alike for preparing for various competitive examinations. In this article, we will explore what this book is about, what are its features and benefits, and how to download it for free.

## Features of the book

The book Problems In Mathematics By V Govorov has many features that make it a valuable resource for learning and practicing mathematics. Here are some of them:

### Content and structure

The book covers a wide range of topics in mathematics, such as algebra, geometry, trigonometry, calculus, differential equations, vector analysis, complex numbers, probability, combinatorics, number theory, and more. It has 35 chapters that are divided into sections according to the difficulty level and type of problems. Each section contains several problems with hints and solutions. The problems are carefully selected to illustrate various concepts, methods, techniques, and applications of mathematics. Some examples of problems are:

- Find all real values of x such that (x + 1)/(x^2 + x + 1) = (x^2 + x + 1)/(x^3 + x^2 + x + 1). - Prove that if a triangle has two equal angles, then its circumcenter lies on its median. - Evaluate the integral (sin x)^3 dx from 0 to π/2. - Solve the differential equation y' = y^2 + x. - Find a unit vector perpendicular to both i + j + k and i j k. - Find all complex roots of z^4 + 16 = 0. - A box contains 10 white balls and 6 black balls. Three balls are drawn at random without replacement. What is the probability that they are all white? - How many ways are there to arrange the letters of the word MATHEMATICS such that no two vowels are adjacent? - Find the smallest positive integer n such that 2^n ends with 43.

### Hints and solutions

One of the most useful features of the book is that it provides hints and solutions for each problem. The hints are given at the end of each section, while the solutions are given at the end of each chapter. The hints and solutions are concise and clear, explaining the main steps and ideas involved in solving the problems. They also provide alternative methods, tips, tricks, and references for further reading. The hints and solutions help the students in understanding and solving the problems, as well as in developing their mathematical thinking and creativity.

### Difficulty level and scope

The book Problems In Mathematics By V Govorov is not for beginners or faint-hearted. The problems are challenging and require a good knowledge of mathematics and its applications. They also test the students' ability to apply various concepts and techniques in different situations, to analyze and synthesize information, to reason logically and critically, and to communicate effectively. The book is suitable for students who are preparing for various competitive examinations, such as Olympiads, JEE, NEET, CAT, GRE, GMAT, etc. It is also useful for teachers who want to enrich their teaching with interesting and stimulating problems.

## Benefits of the book

The book Problems In Mathematics By V Govorov has many benefits for students and teachers who want to improve their mathematical skills and knowledge. Here are some of them:

### Conceptual clarity and practice

The book helps the students in building the concepts of mathematics by providing them with a variety of problems that illustrate and reinforce them. The book also provides ample practice for different types of problems, ranging from simple to complex, from theoretical to practical, from routine to non-routine. The book helps the students in mastering the topics of mathematics by exposing them to different aspects and applications of them.

### Problem-solving skills and confidence

The book enhances the problem-solving skills of the students by challenging them with problems that require them to use various strategies, such as trial and error, elimination, substitution, induction, contradiction, etc. The book also boosts their confidence and interest in mathematics by giving them a sense of achievement and satisfaction when they solve the problems. The book helps the students in becoming better problem-solvers and mathematicians.

You might be tempted to download the book Problems In Mathematics By V Govorov for free from some websites that offer pdf files of books. However, you should be aware of the legal and ethical issues involved in doing so. Here are some of them:

### Alternatives and sources

If you want to access the book Problems In Mathematics By V Govorov legally and ethically, you have several alternatives and sources to choose from. You can buy or borrow the book from a bookstore or a library. You can also access it online from some websites that offer legitimate e-books or subscription services. Some reliable sources to buy or borrow the book from are:

• Internet Archive

## for various competitive examinations. The book has many features and benefits that make it a valuable resource for learning and practicing mathematics. However, downloading the book for free is illegal and unethical, and it has negative consequences for the authors, publishers, and readers. Therefore, one should access the book legally and ethically from reliable sources. FAQs

Here are some frequently asked questions about the book Problems In Mathematics By V Govorov:

• What is the ISBN of the book?

The ISBN of the book is 978-9351762559.

• What is the edition and year of publication of the book?

The book is the second edition and it was published in 2016.

• What is the price of the book?

The price of the book is 165.00 on Amazon.in.

• Who are the publishers of the book?

The publishers of the book are Maxford Books.

• Where can I find more books by the same authors?

You can find more books by the same authors on Amazon.in, Google Books, or Internet Archive.

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