Problems In Mathematics By V Gov: A Review and Guide for Aspiring Mathematicians

Problems In Mathematics By V Gov: A Comprehensive Book for Competitive Exams

Are you looking for a book that can help you master the fundamentals of mathematics and prepare you for various competitive exams? If yes, then you might want to check out Problems In Mathematics By V Gov, a classic text that has been designed to work as an elementary textbook for beginners and junior students.

Problems In Mathematics By V Gov

This book is written by V. M. Govorov, P. Dybov, N. Miroshin, and S. Smirnova, who are renowned mathematicians and educators from Russia. They have compiled a collection of problems in algebra and number theory, along with hints and solutions, that will challenge and stimulate your mind.

In this article, we will review the features, benefits, and tips on how to use this book effectively. By the end of this article, you will have a clear idea of why this book is one of the best choices for learning and practicing mathematics.

Features of the book

Problems In Mathematics By V Gov has many features that make it a valuable resource for anyone who wants to improve their mathematical skills and knowledge. Here are some of them:

Covers a wide range of topics in algebra and number theory

The book consists of 35 chapters that cover various topics such as ratio, proportion, variation, progressions, scales of notation, surds, imaginary quantities, quadratic equations, permutations, combinations, binomial theorem, logarithms, series, inequalities, limits, fractions, indeterminate equations, summation of series, theory of numbers, probability, determinants, theory of equations, etc.

The topics are arranged in a logical sequence that helps in building the concepts gradually and systematically. The book also covers some advanced topics that are not usually found in other books at this level.

Provides hints and solutions for each problem

The book contains more than 1000 problems that are carefully selected to illustrate the various concepts and techniques. The problems range from simple to difficult, from routine to original, from elementary to advanced.

Each problem is accompanied by a hint that gives a clue or a direction on how to solve it. The hints are designed to help you think about the problem without revealing too much information. The solutions are given at the end of each chapter in a detailed and step-by-step manner. The solutions also explain the underlying logic and reasoning behind each step.

Includes practice exercises and unsolved questions

The book also provides practice exercises at the end of each chapter that test your understanding and application of the concepts learned in that chapter. The exercises consist of multiple-choice questions, fill-in-the-blanks questions, true-false questions, etc.

In addition to the practice exercises, the book also has unsolved questions that are meant for further exploration and challenge. These questions are marked with an asterisk (*) and are usually more difficult or require more creativity than the regular problems. The answers to these questions are not given in the book, but you can try to find them on your own or with the help of a teacher or a friend.

Uses clear and concise language and notation

The book uses a clear and concise language that is easy to understand and follow. The authors avoid unnecessary jargon and technical terms that might confuse or intimidate the readers. The book also uses a consistent and standard notation that is familiar to most students and teachers of mathematics.

Benefits of the book

Problems In Mathematics By V Gov has many benefits that make it a worthwhile investment for anyone who wants to learn and practice mathematics. Here are some of them:

Helps in developing mathematical skills and concepts

The book helps you in developing various mathematical skills and concepts that are essential for any student of mathematics. These include arithmetic, algebra, number theory, logic, analysis, etc. The book also helps you in developing your mathematical intuition, imagination, and creativity.

Prepares for various competitive exams such as JEE, Olympiads, etc.

The book prepares you for various competitive exams that require a high level of mathematical aptitude and problem-solving skills. These include exams such as JEE (Joint Entrance Examination), Olympiads (International Mathematical Olympiad, Regional Mathematical Olympiad, etc.), NTSE (National Talent Search Examination), etc.

The book covers the syllabus and topics that are relevant for these exams. The book also exposes you to the types and formats of questions that are asked in these exams. The book also helps you in developing your speed, accuracy, and confidence in solving mathematical problems.

Enhances logical thinking and problem-solving abilities

The book enhances your logical thinking and problem-solving abilities by presenting you with challenging and interesting problems that require you to apply your knowledge and skills in novel ways. The book also helps you in developing your analytical and critical thinking skills by making you question your assumptions and verify your results.

Provides a solid foundation for higher studies in mathematics

The book provides you with a solid foundation for higher studies in mathematics by giving you a thorough understanding of the basic concepts and principles of mathematics. The book also prepares you for the advanced topics and methods that are used in higher mathematics. The book also helps you in developing your interest and curiosity in mathematics by exposing you to the beauty and elegance of mathematics.

How to use the book effectively

Problems In Mathematics By V Gov is a powerful tool that can help you achieve your mathematical goals if used effectively. Here are some tips on how to use the book effectively:

Follow the sequence of chapters and topics

The book is designed to be followed in a sequential manner, from the first chapter to the last chapter. The chapters and topics are arranged in a logical order that builds on the previous ones. Therefore, it is advisable to follow the sequence of chapters and topics as given in the book, rather than skipping or jumping around.

Review the theory and examples before attempting the problems

The book provides a brief summary of the theory and examples for each topic before presenting the problems. It is important to review the theory and examples carefully before attempting the problems, as they will help you understand the concepts and techniques involved. The theory and examples will also help you recall the relevant formulas, definitions, properties, etc.

Use the hints and solutions only as a last resort

The book provides hints and solutions for each problem, but they are meant to be used only as a last resort, not as a first option. It is recommended to try to solve the problems on your own first, without looking at the hints or solutions. This will help you develop your own methods and strategies for solving problems, as well as improve your confidence and self-reliance.

If you get stuck or need some guidance, you can use the hints as a clue or a direction on how to proceed. However, do not rely on the hints too much or too often, as they might prevent you from discovering other ways of solving the problem. Try to use the hints sparingly and only when necessary.

If you cannot solve the problem even after using the hint, or if you want to check your answer or method, you can look at the solution. However, do not just copy or memorize the solution without understanding it. Try to understand each step of the solution and why it works. Try to compare your solution with the given one and see where you went wrong or how you can improve it.

Practice regularly and revise frequently

Conclusion

Problems In Mathematics By V Gov is a comprehensive book for competitive exams that covers a wide range of topics in algebra and number theory. It provides hints and solutions for each problem, along with practice exercises and unsolved questions. It uses clear and concise language and notation that is easy to understand and follow.

The book helps in developing mathematical skills and concepts, preparing for various competitive exams such as JEE, Olympiads, NTSE, etc., enhancing logical thinking and problem-solving abilities, and providing a solid foundation for higher studies in mathematics.

If you are looking for a book that can help you master the fundamentals of mathematics and prepare you for various competitive exams, then you should definitely get a copy of Problems In Mathematics By V Gov. It will challenge and stimulate your mind and help you achieve your mathematical goals.

FAQs

Here are some frequently asked questions about Problems In Mathematics By V Gov:

Q1. Where can I buy Problems In Mathematics By V Gov?

A1. You can buy Problems In Mathematics By V Gov from online platforms such as Amazon or Flipkart, or from offline bookstores near you.

Q2. What is the price of Problems In Mathematics By V Gov?

A2. The price of Problems In Mathematics By V Gov may vary depending on the seller and the edition. However, the average price of the book is around Rs. 200.

Q3. What is the difficulty level of Problems In Mathematics By V Gov?

A3. The difficulty level of Problems In Mathematics By V Gov varies from problem to problem. Some problems are simple and straightforward, while some are complex and original. The book is suitable for beginners and junior students who have a basic knowledge of mathematics.

Q4. How many problems are there in Problems In Mathematics By V Gov?

A4. There are more than 1000 problems in Problems In Mathematics By V Gov, divided into 35 chapters. Each chapter has around 20 to 40 problems, along with hints and solutions.

Q5. Is Problems In Mathematics By V Gov enough for JEE preparation?

A5. Problems In Mathematics By V Gov is a good book for JEE preparation, as it covers most of the topics that are asked in JEE Main and Advanced. However, it is not enough by itself, as you also need to study other books and materials that cover other aspects of JEE syllabus such as physics, chemistry, coordinate geometry, calculus, etc. 71b2f0854b