Sinopsis
Master the practical power of definite integrals and multiple integration to solve real-world calculus problems.
This edition presents a clear path from the basics of integration to its most useful applications. It emphasizes choosing the right elemental piece for integration, changing limits to simplify problems, and using double and triple integrals to find areas, volumes, and masses. Readers will see how the summation viewpoint leads to the definite integral and how these ideas apply across geometry, physics, and engineering.
- Understand how definite integrals arise from summing infinitely small elements and how to apply them to areas, volumes, and mass calculations.
- Learn strategies for changing variables and limits to simplify complex problems.
- Explore applications in mean density, centers of gravity, and other physical quantities.
- Build skills with structured exercises that connect theory to practical computations using multiple integrals.
Ideal for students of calculus and related fields who want a clear, application-focused introduction to integration techniques.
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Reseña del editor
Excerpt from Essentials of Calculus
The usual division of the subject into differential and integral calculus has been largely disregarded. By the arrangement adopted, the student is early led by easy steps into Simple prao tical applications of the calculus; and the more difficult topics are postponed until late in the course.
The theory of limits has been used exclusively in the develop ment of fundamental principles. Throughout the book much emphasis is placed upon the applications of the calculus to prao tical problems. Only such knowledge of physics on the part of the student is assumed as is usually included in an elementary course in that subject. Some problems are introduced that Show the use of calculus in discussing well-known applications to physical and engineering phenomena. Such problems are so stated, however, as to require no technical knowledge on the part of the student. The applications to geometry are such as are essential and usually to be found in a first course in calculus.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
Excerpt from Essentials of Calculus
In the preparation of this volume, the authors have had in mind the needs of those colleges and technical schools in which the time devoted to calculus is limited to a three-hour course for a year, or perhaps to a five-hour course for two terms.
The usual division of the subject into differential and integral calculus has been largely disregarded. By the arrangement adopted, the student is early led by easy steps into simple practical applications of the calculus; and the more difficult topics are postponed until late in the course.
The theory of limits has been used exclusively in the development of fundamental principles. Throughout the book much emphasis is placed upon the applications of the calculus to practical problems. Only such knowledge of physics on the part of the student is assumed as is usually included in an elementary course in that subject. Some problems are introduced that show the use of calculus in discussing well-known applications to physical and engineering phenomena. Such problems are so stated, however, as to require no technical knowledge on the part of the student. The applications to geometry are such as are essential and usually to be found in a first course in calculus.
In the selection of material, the authors have departed somewhat from the traditional course. Many topics usually included in calculus have been entirely omitted or greatly reduced in extent. Thus, but little attention has been given to special methods of integration; and reduction formulas for integration, order of contact, envelopes, etc., have been omitted entirely. On the other hand, some parts of the text have been extended beyond the usual limits. Functions of two or more variables, because of their importance in physics, have been discussed more fully than usual.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
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Essentials of Calculus (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book introduces the fundamentals of calculus through a blend of theoretical explanations and practical applications. The author maintains a reader-friendly approach, explaining complex topics like limits, derivatives, and integrals with clear language and illustrative examples. The book provides a solid foundation in the subject and demonstrates its relevance to various fields, including science, engineering, and economics. By exploring the historical development of calculus and its role in shaping our understanding of the physical world, the author offers insights into the significance and depth of the subject, making it an invaluable resource for students, educators, and anyone curious about the power of calculus. 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. print-on-demand item. Nº de ref. del artículo: 9781330046616_0
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Essentials of Calculus (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330046616
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Essentials of Calculus (Classic Reprint)
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330046616
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