📚 Core Book Details
- Author: Debaprasanna Biswas
- Publisher: New Central Book Agency (P) Ltd.
- Target Audience: Frequently used as a textbook and reference for undergraduate mathematics, engineering, computer science (such as BCA/B.Tech), and statistics courses across Indian universities.
📋 Key Topics Covered in Volume 1
While exact contents can vary slightly by edition, a standard undergraduate curriculum structured under this textbook generally covers:
- Theory of Probability: Basic definitions, classical and axiomatic probability, conditional probability, Bayes’ Theorem, and independent events.
- Random Variables: Introduction to one-dimensional discrete and continuous random variables, cumulative distribution functions (CDF), and probability density functions (PDF).
- Mathematical Expectation: Expected values, variance, moments, and moment-generating functions (MGF).
- Standard Probability Distributions: Thorough coverage of discrete distributions (Binomial, Poisson, Uniform) and continuous distributions (Exponential, Normal, and related curve properties).
- Limit Theorems: Concepts surrounding Chebyshev’s Inequality, the Law of Large Numbers, and the Central Limit Theorem (CLT).
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