An Introduction to Probability Theory, Sem III, Core V (NEP Odisha)

Product Overview & Details

The book An Introduction to Probability Theory is a comprehensive and well-structured textbook designed to needs of B.Sc. Third Semester (Core V) students of Mathematics as per the Common Minimum Syllabus prescribed for Odisha University and other Universities and Colleges under the recommended National Education Policy 2020 in Odisha. The book also meets the requirements of the students of Computer Science and Engineering of different Universities. The book offers a clear and systematic exposition of fundamental concepts in probability, reinforced with illustrative examples and a wide range of exercises for practice.

The text begins with the foundational notions of Sample Spaces, Events and conditional probabilities, gradually progressing to Real Random Variables, Probability Distributions and Joint Probability Distributions. Special focus is given to essential topics such as Bayes' Theorem, moment-generating functions and limit theorems. The final chapters introduce students to more advanced areas, including Markov Chains and their applications.

This book serves as an essential resource for students aiming to build a strong base in probability theory and develop the analytical skills needed for further study in statistics, data science, and applied mathematics.

• Thorough coverage of probability theory aligned with the B.Sc. curriculum.
• Step-by-step explanations of concepts with illustrative examples.
• A large number of exercises at the end of each chapter for practice and assessment.
• Dedicated chapters on joint probability distributions and Markov Chains.
• Includes an appendix for additional reference and quick review.