: Maxima and minima, concavity, points of inflexion, asymptotes, and curve tracing.
To get the most out of this challenging textbook, alter your study habits with these strategies:
To help you study effectively, let me know how you would like to proceed. I can provide to classic calculus problems, explain a specific theorem like Leibniz's or Euler's, or share study strategies for university math exams.
If you are looking for free PDF resources because of budget constraints, consider open-source textbooks that cover the exact same syllabus: Differential Calculus Ghosh Maity Part 1 Pdf Download
: Successive differentiation, Mean Value Theorems, expansion of functions, and partial differentiation. Free Alternatives
The book is structured to transition a student from high school algebra and trigonometry into the rigorous world of analysis. Typical chapters in Part 1 include:
: Detailed exploration of functional relations and Cauchy’s definition of limits. : Maxima and minima, concavity, points of inflexion,
: Covers successive differentiation, expansion of functions, and the use of mathematical induction for higher-order derivatives.
If you cannot find the book and need to study the exact same syllabus immediately, these open-source resources cover identical topics:
Unlike many textbooks that prioritize rote memorization, Ghosh and Maity aimed "to set forth the processes of thinking by which the concepts and methods of Calculus are developed". The authors sought to instill genuine insight, creating a resource that could be "read, and for the most part understood, without the help of class-room explanations". If you are looking for free PDF resources
Differentiability vs. continuity (proving that differentiability implies continuity, but not vice versa).
The book has been in print for decades, and many libraries, especially in India, hold physical copies. You can purchase a new or used print edition from online bookstores. Your university or local library is also an excellent resource. Many library catalogs show that this book is a staple in their collections, such as the library of the Military Institute of Science and Technology (MIST).