Approximating Countable Markov Chains

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Focusing on the intricate concepts of Markov chains and their applications, this monograph presents a fresh perspective on chains with instantaneous states. Aimed at graduate students with a foundational understanding of probability, it builds on the author's previous works while offering new proofs and insights. The trilogy consists of three independent volumes, with this one emphasizing clarity and technical accessibility. The author strives to demystify complex ideas, making them more comprehensible and engaging for readers.