Real Analysis With Complete Analysis & Solution And Explanation With More 6700+ Solved Problems With Complete Explanation Useful For College Level Mathematics Advanced Mathematics Entrance Exams Like Isi Mstat/ Iit Jam Mathematics / Cmi Entrance / Institute Of Mathematics And Application And Ias Mathematics Optional Paper  (SPIRAL, SOURAV SIR'S CLASSES)

WRITTEN ACCORDING TO LATEST PATTERN OF THE EXAMINATIONS ALL OVER INDIA. ALL SECTIONS ARE THOROUGHLY EXPLAINED WITH AMPLE SHORT . MCQ QUESTIONS WITH THEIR ANSWERS AND EXPLANATIONS AS WELL. 5000+ MCQ ARE SOLVED WITH EXPLANATIONS 20 MODEL PAPERS ALL SOLVED ARE ADDED. SELECTIVE PREVIOUS YEAR PAPERS ARE SOLVED SUGGESTION PAPERS ALSO ADDED TOPICS COVERED ARE AS FOLLOWS. Mathematics BOOK I Sequences and Series: Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers. Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms. BOOK II Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Statistics BOOK III Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Random Variables: Probability mass function, probability density function and cumulative distribution functions. BOOK IV Joint Distributions: Joint, marginal and conditional distributions. Sampling distributions: Chi-square, t and F distributions, and their properties