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  • An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics.
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  • Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathematics. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. Although these books are frequently used as textbooks in graduate courses, they are also suitable for individual study.
  • , Stochastic Process and Financial Markets, Narosa Publishing House, New Delhi, 2003. S. Roman, An Introduction the Mathematics of Finance, Springer, 2000. MTM 412 Number Theory and Cryptography Credits: 4. Number Theory: Introduction, Time estimates for doing arithmetic. Divisibilty and Euclidean algorithm.
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Course Catalogue: Mathematics@IISc

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Introduction to Mathematical Systems Theory: Linear

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  • chapters develop probability theory and introduce the axioms of probability, random variables, and joint distributions. The following two chapters are shorter and of an “introduction to” nature: Chapter 4 on limit theorems and Ch apter 5 on simulation. Statistical inference is treated in Chapter 6, which includes a section on Bayesian v
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