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Introduction to Infinite Series is a book written by William F. Osgood in 1897. The book is an introduction to the study of infinite series, which are mathematical expressions that involve an infinite number of terms. Osgood provides a comprehensive overview of the topic, starting with the basics of series and their properties, and progressing to more advanced topics such as convergence, divergence, and the summation of series. The book is designed for students and professionals who are interested in mathematics and its applications, and it provides a solid foundation for further study in the field. The text is written in a clear and concise style, with plenty of examples and exercises to help readers grasp the concepts. Overall, Introduction to Infinite Series is an essential resource for anyone interested in the study of series and their applications in mathematics and beyond.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Differential and Integral Calculus the subject of Infinite Series forms an important topic. The presentation of this subject should have in view first to make tlie beginner acquainted with the nature and use of infinite series and secondly to introduce him to thi theory of these series in such a way that he sees at each step precisely what the question at issue is and never enters on the proof of a theorem till he feels that the theorem actually requires proof. A ids to tlu attainment of these ends are: (a) a variety of illustrations, taken from the cases that actually arise in practice, of the application of series to computation both in pure and applied mathematics; (b) a full and careful exposition of the meaning and scope of the more ditlicult theorems; (c) the use of diagrams and graphical illustrations in the proofs. The pamphlet that follows is designed to give a presentation of the kind here indicated. The references are to Byerly sD ifferential Calculus, Integral Calculus, and Problems in Differential Calculus; and to B. O. Peirce sS hort Table of I ntegrals; all published by Ginn Co., Boston. WM. F. OSGOOD. Cambridge, A pril 1897.
(Typographical errors above are due to OCR software and don't occur in the book.)
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