Pre-Owned Mathematical Analysis

Key Features:Y New edition in multi-colour with improvised figuresY New version of outstanding textbook catering to international segmentsY Well developed, rigorous and not too pedantic subject matterY Application of modern methods to smooth out and shorten classical techniquesY Special effort has been made to include most of the lecture notes based on authors' decadal teachingexperience.About the Book:The book is intended to serve as a text in Mathematical Analysis for the undergraduate and postgraduatestudents of various universities. Professionals will also find this book useful.The book has theory from its very beginning. The foundations have been laid very carefully and thetreatment is rigorous based on modern lines. It opens with a brief outline of the essential properties ofrational numbers and using Dedekind's cut, the properties of real numbers are also established. Thisfoundation supports the subsequent chapters: Topological Framework Real Sequences and Series,Continuity, Differentiation, Functions of Several Variables, Elementary and Implicit Functions, Riemannand Riemann-Stieltjes Integrals, Lebesgue Integrals, Surface, Double and Triple Integrals are discussedin detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals have been presented inas simple and lucid manner as possible. Number of solved examples to illustrate various types have alsobeen included.As per need, in the present atmosphere, a chapter on Metric Spaces discussing completeness,compactness and connectedness of the spaces has been added. Finally, two appendices discussing Beta-Gamma functions, and Cantor's theory of real numbers, add glory to the contents of the book.