Elementary Calculus (Classic Reprint) - Couverture souple

Woods, Frederick S. Patterson

Couverture souple

ISBN 10 : 1330075803 ISBN 13 : 9781330075807

Editeur : Forgotten Books, 2018

Synopsis

Master the ideas of calculus with clear, gradual explanations you can actually follow.

This book emphasizes the central idea of limits and builds mathematical rigor at a pace suited to a first course. It offers practical examples and a steady path from basic concepts to deeper techniques, mirroring the way the subject is taught in many colleges. The edition presents a broad range of topics and flexible guidance for different course sequences.

Content spans key areas such as limits and rates, differentiation, summation and integration, and foundational topics in algebraic and analytic functions. It also introduces exponential and logarithmic functions, series, partial differentiation, and applications of calculus to area, volume, and motion. The text includes a wealth of exercises to reinforce understanding and skill.

• Accessible treatment of limits and the concept of a limit as a foundation for the rest of calculus


• Step‑by‑step development of differentiation and the derivative, including applications


• Introduction to integration, area, and accumulated quantities, with worked examples


• Coverage of series, exponential and logarithmic functions, and introductory multivariable ideas

Ideal for readers beginning calculus, or anyone seeking a solid, reliable refresher in the fundamentals.

A propos du livre

Présentation de l'éditeur

Excerpt from Elementary Calculus

This book is adapted to the use of students in the first year in technical school or college, and is based upon the experience of the authors in teaching calculus to students in the Massachusetts Institute of Technology immediately upon entrance. It is accordingly assumed that the student has had college-entrance algebra, including graphs, and an elementary course in trigonometry, but that he has not studied analytic geometry.

The first three chapters form an introductory course in which the fundamental ideas of the calculus are introduced, including derivative, differential, and the definite integral, but the formal work is restricted to that involving only the polynomial. These chapters alone are well fitted for a short course of about a term.

The definition of the derivative is obtained through the concept of speed, using familiar illustrations, and the idea of a derivative as measuring the rate of change of related quantities is emphasized. The slope of a curve is introduced later. This is designed to prevent the student from acquiring the notion that the derivative is fundamentally a geometric concept. For the same reason, problems from mechanics are prominent throughout the book.

With Chapter IV a more formal development of the subject begins, and certain portions of analytic geometry are introduced as needed. These include, among other things, the straight line, the conic sections, the cycloid, and polar coordinates.

The book contains a large number of well-graded exercises for the student. Drill exercises are placed at the end of most sections, and a miscellaneous set of exercises, for review or further work, is found at the end of each chapter except the first.

About the Publisher

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330075803
• ISBN 13: 9781330075807
• Reliure: Broché
• Nombre de pages: 330
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible