Second edition of this introduction to real analysis, rooted in the historical issues that shaped its development.

The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included.

Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences.

Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today.

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis.

The story begins with Riemann's definition of the integral, and then follows the efforts of those who wrestled with the difficulties inherent in it, until Lebesgue finally broke with Riemann's definition.

The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically ...

Six of the seven chapters of Act V can be read completely independently from the rest of the book.

The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries.