The Elements of the Integral Calculus: With Its Applications to Geometry

John Radford Young

ISBN 10: 1330027531 / ISBN 13: 9781330027530

Editore: Forgotten Books, 2017

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Print on Demand. This book, the third in a series, expands upon analytical science with an examination of the principles of differential calculus. The author focuses on integration of differential expressions, and particularly on the integration of logarithmic and exponential forms, circular functions, and trigonometric forms. The author, limiting the work to equations of one variable and of the first and second order, has deftly explained a subject that can be quite difficult for students and casual readers of analytical science. The author provides a variety of examples and exercises to help the reader apply the principles of calculus to their own work. This book will be a welcome addition to the libraries of teachers, students, and advanced scholars in the field. 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.

Codice articolo 9781330027530_0

Dati bibliografici

• Titolo: The Elements of the Integral Calculus: With Its Applications to Geometry
• Editore: Forgotten Books
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1330027531
• ISBN 13: 9781330027530
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Calculus

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Riassunto

Excerpt from The Elements of the Integral Calculus: With Its Applications to Geometry

The third section contains the elements Of a theory of almost boundless extent, the theory Of Differential Equations. As far as equations Of two variables and Of the first order are. Concerned, and beyond which the powers Of the calculus are at present but very limited, the information conveyed in this section will, it is thought, be found to be sufficiently copious. I have endeavoured to render this part of the subject clear and intelligible, and have, in some cases, preferred appearing lengthy where brevity might involve any Obscurity, as in the article on Riccati's equation, for instance In the latter part Of this section I have compressed into small compass several topics Of a nature too difficult and too extensive to be completely discussed in a work Of this kind; but I have taken care to direct the inquiring student to the sources where more satisfactory information may be Obtained I hope, also, to touch again upon these matters at a more convenient opportunity; in the mean time, I trust that the three volumes now finished may contribute something towards improving the taste and exciting the inquiries Of the young analyst.

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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.