000 01693nam a2200193Ia 4500
008 210916s9999 xx 000 0 und d
020 _a9781259064784
082 _a517
_bRUD
100 _aRudin, Walter
_96401
245 0 _aPrinciples of mathematical analysis
250 _a3rd ed.
260 _aChennai
_bMcGraw Hill
_c1976
300 _a342p.
520 _aPrinciples of Mathematical Analysis is a comprehensive guide, with eleven chapters which cover concepts relating to mathematical analysis. The book starts with an introduction on concepts such as normal, real and complex fields, sets which are ordered, an extended system of real numbers and Euclidean spaces. There also exercises given towards the end of the chapters and appendices which serve as a reference source. The next chapters broadly cover concepts pertaining to the properties of space i.e. topology and series and sequences of numbers. Within these chapters aspects like connected perfect, finite, countable and uncountable sets and metric spaces are explained. Also, a number of sequences like convergent, cauchy and special sequences, normal and power series and subsequences, along with exercises for practice are given in this book. The other chapters contain subject matters of functions and its series, differentiation, continuity, variables and their functions, theory of Lebesgue and Riemann-Stieltjes Integral and certain special kind of functions. The third edition of Principles of Mathematical Analysis was published by Tata McGraw- Hill Education in 2013. It is available in paperback.
650 _aMathematical analysis
_9465
650 _aMathematics
_9435
650 _aCalculus
_96320
942 _cBK
999 _c6408
_d6408