Key topics include countable and uncountable sets, Riemann integration, Beta and Gamma functions, improper integrals, and Frullani's Integral, along with the integral as a function of a parameter.
The book covers the integrability of continuous and monotonic functions, properties of integrable functions, the fundamental theorem of integral calculus, and mean value theorems of integral calculus.
The book uses clear, step-by-step explanations with accompanying diagrams and illustrative examples to explain complex concepts, making them more accessible to students.
Yes, the authors have included exercises and review questions at the end of each chapter to help students assess their understanding of the material.
his book is specifically designed for BA/BSc 3rd-year students at Punjab University, Chandigarh, particularly those enrolled in their 5th semester.
Precize Analysis-1 is structured into Chapters focusing on essential concepts, each accompanied by clear explanations, illustrative examples, and practical problem-solving techniques to aid understanding.
Yes, the book extensively covers improper integrals, focusing on their convergence and various convergence tests, including comparison tests and Dirichlet’s tests.
While it is designed for classroom learning, Precize Analysis-1 can also be effectively used for self-study due to its structured approach, clear explanations, and comprehensive coverage of essential topics.
The authors employ a student-centric approach, using real-world examples, illustrations, and explanations to facilitate deep understanding and engagement. This approach makes complex concepts more accessible and enjoyable for students.