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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.

differential calculus by das and mukherjee pdf free 760

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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