A Course Of Mathematical Analysis

DETAILS : 

• Author : Mittal P.K. , Narayan Shanti
  
• Publisher ‏ : ‎ S Chand & Company
  
• Publication date ‏ : ‎ 1 March 2005
  
• Language ‏ : ‎ English
  
• Print length ‏ : ‎ 608 pages
  
• ISBN-10 ‏ : ‎ 8121904722
  
• ISBN-13 ‏ : ‎ 978-8121904728
  
• Item Weight ‏ : ‎ 550 g

ABOUT THE BOOK

A Course of Mathematical Analysis, co-authored by the legendary mathematician Shanti Narayan and revised by the prominent academician Prof. P. K. Mittal, is an absolute cornerstone of classical mathematical literature in South Asia. Published by S. Chand & Company, this monumental textbook serves as the definitive foundational manual for undergraduate and postgraduate students pursuing honors degrees in Mathematics, Physics, and Engineering. The core philosophy of this text centers on epistemic rigor and analytical exactitude—proving that the vast landscape of calculus and real-world mathematical modeling rests entirely upon the uncompromising foundations of real numbers, strict limit definitions, and formal proof structures.

The textbook is structured as a progressive, logical journey through the mechanics of real analysis, systematically moving from intuitive calculus concepts to rigorous epsilon-delta formulations. Narayan and Mittal deliver a dense, unbroken prose narrative that explores the structural properties of the real number system, mapping out completeness, density, and neighborhood topologies. The authors provide a meticulous diagnostic breakdown of sequence convergence, infinite series behaviors, and the precise conditions required for Riemann integrability. Furthermore, the volume provides critical commentary on advanced multivariable calculus, analyzing total differentiability, Jacobians, implicit function theorems, and the intricacies of uniform convergence for sequences of functions.

ABOUT THE AUTHOR

Shanti Narayan was an elite Indian mathematician, legendary educator, and former Principal of Hansraj College, Delhi. Alongside co-authors and revisers like Prof. P. K. Mittal, his textbooks—including Differential Calculus, Integral Calculus, and Analytical Solid Geometry—have shaped mathematics education across generations of STEM scholars.