Gill G.S. The Calculus Bible

Birkhäuser Basel, 2010. — 426 p. This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is no artificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early...

Elsevier, 2014. — 348 p. — ISBN: 9780128010013 The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such...

Textbook. — New York: Springer, 2010. — 526 p. — (Undergraduate Texts in Mathematics). — ISBN 978-1-4419-7331-3. With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones — the change of variables formula, implicit and inverse function theorems, the...