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Combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics and computer science. This book, which stems from many years' experience of teaching, takes reader into the all new world of the subject and prepares them for advance level problems.
This book is suitable as a class text or for individual study. This trusted book covers the Concepts of Combinatorics including the counting techniques, Permutations and Combinations, Arrangements of objects in circular manner, Derangement, generating functions and recurrence relations.
This beautifully organised self guiding book is suitable for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians. This wonder book is also suitable for any one interested in learning combinatorics from SCRATCH and having no basic knowledge.
Concepts are presented in very lucid manner so that students will find it very easy to read. A wide range of solved examples, about 300 combinatorial problems taken from various mathematical competitions and exercises are also included.
-Permutations and Combinations
-partitions of Integers
-counting sequences and generating functions
-Application of Prime Factorization Theorem in combinatorics
-Binomial Coefficients and Multinational Coefficients