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# Differential Calculus - B. C. Das, Bratindra Nath Mukherjee - Google Books

## Differential Calculus by Das and Mukherjee PDF Free 760

Differential calculus is one of the most fundamental branches of mathematics, with applications in science, engineering, economics, and many other fields. It deals with the study of rates of change, slopes, curves, and functions. If you want to learn differential calculus or improve your skills, you might be interested in a classic textbook by two Indian mathematicians, B. C. Das and B. N. Mukherjee. In this article, we will tell you what their book is about, who they are, and how you can get their book in PDF format for free.

## What is differential calculus?

Differential calculus is a part of calculus that focuses on how things change. It involves concepts such as derivatives, limits, continuity, differentiability, maxima and minima, mean value theorem, Taylor series, and more. Differential calculus can help us find the rate of change of a quantity, the slope of a curve, the best fit for a set of data points, the optimal solution for a problem, and so on.

### Why is differential calculus important?

Differential calculus has many applications in various fields of knowledge. For example:

• In physics, differential calculus can help us describe the motion of objects, the forces acting on them, the energy they have, and the laws that govern them.

• In chemistry, differential calculus can help us understand the rate of chemical reactions, the equilibrium state of a system, the thermodynamics of a process, and the molecular structure of compounds.

• In biology, differential calculus can help us model the growth of populations, the spread of diseases, the evolution of species, and the functioning of cells.

• In economics, differential calculus can help us analyze the behavior of consumers and producers, the supply and demand of goods and services, the profit and loss of firms, and the effects of policies and taxes.

• In engineering, differential calculus can help us design and optimize systems and structures, such as bridges, buildings, machines, circuits, networks, and more.

### How to learn differential calculus?

Learning differential calculus requires a solid background in algebra and trigonometry. You also need to be familiar with some basic concepts of geometry and logic. To master differential calculus, you need to practice a lot of problems and exercises that test your understanding and application of the rules and formulas. You also need to study some proofs and derivations that show why those rules and formulas work.

One way to learn differential calculus is to use a good textbook that covers all the topics you need to know. A textbook can provide you with clear explanations, examples, diagrams, exercises, solutions, and references. A textbook can also help you prepare for exams and tests that assess your knowledge and skills.

One such textbook is Differential Calculus by B. C. Das and B. N. Mukherjee.

## Who are Das and Mukherjee?

B. C. Das and B. N. Mukherjee are two Indian mathematicians who wrote several books on calculus and analysis. They are well-known and respected in the mathematical community for their contributions to the field.

### B. C. Das

B. C. Das was born in 1898 in Bengal, India. He obtained his B.Sc. and M.Sc. degrees from the University of Calcutta, where he also taught mathematics for many years. He was a prolific writer and published more than 20 books on various topics of mathematics, such as algebra, geometry, trigonometry, calculus, differential equations, and more. He also wrote several papers and articles on mathematical research and education. He died in 1975.

### B. N. Mukherjee

B. N. Mukherjee was born in 1901 in Bengal, India. He also graduated from the University of Calcutta with a B.Sc. and M.Sc. degree in mathematics. He joined the faculty of the same university and became a professor of mathematics. He collaborated with B. C. Das on several books on calculus and analysis, such as Differential Calculus, Integral Calculus, Differential Equations, and more. He also wrote some papers on mathematical topics and history. He died in 1986.

### Their collaboration

B. C. Das and B. N. Mukherjee worked together for many years and produced some of the most popular and influential textbooks on calculus and analysis in India. Their books are widely used by students and teachers of mathematics at various levels of education, from high school to college to university. Their books are known for their clarity, rigor, comprehensiveness, and pedagogy.

## What is their book about?

Differential Calculus by B. C. Das and B. N. Mukherjee is one of their most famous books on calculus. It was first published in 1938 and has been revised and updated several times since then. The latest edition is the 19th edition, which was published in 1975 by U.N. Dhur and Sons, Calcutta.

### Contents of the book

The book covers all the topics of differential calculus that a student needs to know for high school and college level mathematics courses. The book has 16 chapters, which are:

• Functions

• Limits

• Continuity

• Differentiation

• Successive Differentiation

• Mean Value Theorems

• Taylor's Theorem

• Maxima and Minima

• Indeterminate Forms

• Asymptotes

• Curvature

• Partial Differentiation

• Total Differentials

• Taylor's Theorem for Functions of Two Variables

• Maxima and Minima of Functions of Two Variables

• Lagrange's Method of Undetermined Multipliers

The book also has an appendix that contains some useful formulas, tables, and answers to selected exercises.

### Features of the book

The book has many features that make it a valuable resource for learning differential calculus, such as:

• The book has a clear and concise style of writing that explains the concepts and methods of differential calculus in a logical and systematic way.

• The book has a lot of examples that illustrate the application of differential calculus to various problems in geometry, physics, engineering, and other fields.

• The book has a lot of exercises that test the understanding and skills of the students on each topic. The exercises are graded according to their difficulty level and have hints or solutions provided at the end of the book.

• The book has some proofs and derivations that show the validity and generality of the rules and formulas of differential calculus.

• The book has some historical notes that give some background information on the development and discovery of differential calculus by various mathematicians.

### Reviews of the book

The book has received many positive reviews from students, teachers, and experts who have used it or read it over the years. Some of the reviews are:

"This is one of the best books on differential calculus I have ever read. It covers all the topics in a clear and rigorous way, with plenty of examples and exercises to practice. It also has some interesting historical notes that add some flavor to the subject."

If you are interested in reading Differential Calculus by B. C. Das and B. N. Mukherjee, you might be wondering how you can get the PDF version of the book for free. There are two ways to do this: legal and illegal.

### Legal ways to access the PDF

The legal ways to access the PDF of the book are:

• Borrowing the book from a library or a friend and scanning it yourself.

• Buying the book from a bookstore or an online seller and converting it to PDF yourself.

• Finding a legitimate website or platform that offers the PDF of the book for free or for a low price.

These ways are legal because they do not violate the copyright laws or the terms and conditions of the publisher or the authors. However, they might have some drawbacks, such as:

• The quality of the scanned or converted PDF might be poor or inconsistent.

• The cost of buying the book might be high or unavailable in your area.

• The availability of the legitimate website or platform might be limited or unreliable.

### Illegal ways to access the PDF

The illegal ways to access the PDF of the book are:

• Sharing the PDF with others without permission or authorization.

• Modifying or copying the PDF without giving credit or attribution.

These ways are illegal because they violate the copyright laws or the terms and conditions of the publisher or the authors. However, they might have some benefits, such as:

• The quality of the downloaded PDF might be high or consistent.

• The availability of the pirated website or torrent site might be wide or reliable.

Before you decide to download the PDF of Differential Calculus by B. C. Das and B. N. Mukherjee for free, you should weigh the risks and benefits of doing so. Here are some factors to consider:

RisksBenefits

You might get infected with malware or viruses that can harm your device or data.You can save money and time by not buying or borrowing the book.

You might get caught by law enforcement agencies or internet service providers that can impose fines or penalties on you.You can access the book anytime and anywhere without any restrictions or limitations.

You might get sued by the publisher or the authors that can demand compensation or damages from you.You can share the book with others who might benefit from it as well.

You might lose respect and credibility as a student or a professional who uses illegal sources of information.You can learn differential calculus from one of the best books on the subject ever written.

The choice is yours, but we recommend that you follow the legal and ethical ways to access the PDF of Differential Calculus by B. C. Das and B. N. Mukherjee for free.

## Conclusion

Differential Calculus by B. C. Das and B. N. Mukherjee is a classic textbook on differential calculus that covers all the topics you need to know for high school and college level mathematics courses. It is written by two Indian mathematicians who are well-known and respected in the mathematical community for their contributions to the field. It has many features that make it a valuable resource for learning differential calculus, such as clear explanations, examples, exercises, proofs, and historical notes. It also has many positive reviews from students, teachers, and experts who have used it or read it over the years.

If you want to read this book, you can get it in PDF format for free by using either legal or illegal ways. However, you should be aware of the risks and benefits of each way before you decide to download it. We hope that this article has helped you understand what Differential Calculus by B. C. Das and B. N. Mukherjee is about, who they are, and how you can get their book in PDF format for free.

## FAQs

Here are some frequently asked questions about Differential Calculus by B. C. Das and B. N. Mukherjee:

• Q: What is the difference between differential calculus and integral calculus?

• A: Differential calculus deals with the study of rates of change, slopes, curves, and functions, while integral calculus deals with the study of areas, volumes, sums, and integrals.

• Q: Who invented differential calculus?

• A: Differential calculus was invented independently by Isaac Newton and Gottfried Leibniz in the 17th century.

• Q: How many editions of Differential Calculus by B. C. Das and B. N. Mukherjee are there?

• A: There are 19 editions of Differential Calculus by B. C. Das and B. N. Mukherjee, the latest one being published in 1975.

• Q: Where can I buy Differential Calculus by B. C. Das and B. N. Mukherjee?

• A: You can buy Differential Calculus by B. C. Das and B. N. Mukherjee from online sellers such as Amazon or Flipkart, or from local bookstores in India.

• Q: Is Differential Calculus by B. C. Das and B. N. Mukherjee suitable for beginners?

• A: Yes, Differential Calculus by B. C. Das and B. N. Mukherjee is suitable for beginners who have a solid background in algebra and trigonometry.

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