Introduction to Infinitesimal Analysis: Functions of One Real Variable

Oswald Veblen, N. J. Lennes

ISBN 10: 1332327648 / ISBN 13: 9781332327645

Verlag: Forgotten Books, 2018

Beschreibung

Print on Demand. This book introduces foundational theorems of infinitesimal calculus, providing an essential reference for advanced calculus and theory of functions courses. The author establishes the real number system with logical rigor and clarity, laying a firm foundation for higher-level mathematics. Rigorous arguments are made accessible, illustrating the importance of a precise understanding of irrational numbers and their relation to rational numbers. A detailed treatment of transcendental numbers is included, adding depth to the discussion of irrational numbers. This book's systematic organization and thought-provoking exercises challenge students to explore the subject at an advanced level. By exploring the intricacies of calculus, this book enhances understanding, fostering a solid grasp of the subject's theoretical underpinnings. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Bestandsnummer des Verkäufers 9781332327645_0

Bibliografische Details

• Titel: Introduction to Infinitesimal Analysis: Functions of One Real Variable
• Verlag: Forgotten Books
• Veröffentlichungsdatum: 2018
• Sprache: Englisch
• ISBN-10: 1332327648
• ISBN-13: 9781332327645
• Bindung: Paperback
• Zustand: New
• Buchtyp: print-on-demand item
• Verkäuferkataloge:
  • Calculus

Über diesen Titel

Inhaltsangabe

Excerpt from Introduction to Infinitesimal Analysis: Functions of One Real Variable

When this work was undertaken there was no convenient source in English containing a rigorous and systematic treat ment of the body of theorems usually included in even an ele mentary course on real functions, and it was necessary to refer to the French and German treatises. Since then one treatise, at least, has appeared in English on the Theory of Functions of Real Variables. Nevertheless it is hoped that the present volume, on account of its conciseness, will supply a real want.

The authors are much indebted to Professor E. H. Moore of the University of Chicago for many helpful criticisms and suggestions; to Mr. E. B. Morrow of Princeton University for reading the manuscript and helping prepare the cuts; and to Professor G. A. Bliss of Princeton, who has suggested several desirable changes while reading the proof-sheets.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.