Differential Calculus By Gorakh Prasad Pdf Download
Christal Rasband
How to Download Differential Calculus by Gorakh Prasad PDF for Free
Differential calculus is a branch of mathematics that deals with the study of rates of change of functions and their applications. It is one of the most important topics for students who want to pursue higher studies in engineering, physics, chemistry, economics, and other fields.
One of the best books to learn differential calculus is Differential Calculus by Gorakh Prasad. This book was first published in 1938 by Henares Mathematical Society Benares and has been revised and updated several times since then. It covers all the basic concepts and techniques of differential calculus, such as limits, continuity, differentiation, maxima and minima, mean value theorem, Taylor's theorem, curve tracing, asymptotes, and more. It also contains numerous solved examples and exercises to help students master the subject.
However, finding a hard copy of this book can be difficult and expensive nowadays. That's why many students are looking for a way to download Differential Calculus by Gorakh Prasad PDF for free online. Fortunately, there are some websites that offer this book in digital format for free download or borrowing. Here are some of them:
- Internet Archive: This is a non-profit library that hosts millions of free books, movies, music, software, and more. You can find the 19th edition of Differential Calculus by Gorakh Prasad here and download it as a PDF file or read it online.
- Internet Archive: This is another link from the same website that offers the same book in a different format. You can also download it as a PDF file or read it online.
- Scribd: This is a popular platform that allows users to upload and share documents, books, audiobooks, magazines, and more. You can find Differential Calculus by Gorakh Prasad here and download it as a PDF file or read it online. However, you may need to create an account or sign up for a free trial to access this book.
We hope this article has helped you find Differential Calculus by Gorakh Prasad PDF for free online. If you have any questions or suggestions, please leave a comment below. Happy learning!
Why Learn Differential Calculus?
Differential calculus is not only a fascinating subject to study, but also a very useful one. It has many applications in various fields of science, engineering, economics, and more. Here are some examples of how differential calculus can help you solve real-world problems:
- Calculation of profit and loss with respect to business using graphs: Differential calculus can help you analyze the behavior of a function that represents the cost, revenue, or profit of a business. By finding the derivative of the function, you can determine the rate of change of these quantities and identify the points where they are increasing or decreasing. You can also find the maximum or minimum values of these quantities by using the mean value theorem or the second derivative test.
- Calculation of the rate of change of the temperature: Differential calculus can help you model the temperature changes over time or space using differential equations. By finding the solution of these equations, you can predict the future temperature or find the equilibrium temperature. You can also use derivatives to find the rate of heat transfer or the heat flux.
- Calculation of speed or distance covered such as miles per hour, kilometres per hour, etc.: Differential calculus can help you describe the motion of an object using functions that represent its position, velocity, or acceleration. By finding the derivative of these functions, you can find the instantaneous speed or distance covered by the object at any given time. You can also use integration to find the total distance covered by the object over a period of time.
- Determination of tangent and normal to a curve at a point: Differential calculus can help you find the slope of a curve at any point using the concept of limit. By finding the derivative of the function that defines the curve, you can find the equation of the tangent line or the normal line to the curve at that point. These lines can be used to approximate the curve locally or to find its points of intersection with other curves.
- Prediction of maxima and minima, also to find the maximum and minimum value of a function: Differential calculus can help you optimize a function that represents a quantity that you want to maximize or minimize, such as area, volume, profit, etc. By finding the critical points of the function using the first derivative test or the second derivative test, you can determine whether they are local maxima or minima. You can also use derivatives to find the absolute maxima or minima of a function over a given interval.
These are just some of the many applications of differential calculus that you can learn and explore. By mastering this subject, you will be able to solve various problems that involve rates of change and optimization in applied contexts.
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