Elementary Integral Calculus


Book Description

Originally published in 1926, this book was written to provide mathematical and scientific students with an introduction to the subject of integral calculus. The text was largely planned around the syllabus for the Higher Certificate Examination. A short historical survey is included. This book will be of value to anyone with an interest in integral calculus, mathematics and the history of education.




Elementary Differential and Integral Calculus


Book Description

Originally published in 1936, this book was written with the intention of preparing candidates for the Higher Certificate Examinations. The text was created to bridge the gap between introductions to differential and integral calculus and advanced textbooks on the subject. This volume will be of value to anyone with an interest in differential and integral calculus, mathematics and the history of education.




An Elementary Course on Variational Problems in Calculus


Book Description

"The book covers topics in detail supported by figures and exercises and also lists some direct (approximate) methods to solve boundary value problems containing ordinary/partial differential equations by variational and residue methods, some of them being of immense importance in the treatment of finite element numerical methods. Variety of disciplines being used in the subject, are given in brief, in respective appendices."--BOOK JACKET.




A First Course in the Differential and Integral Calculus


Book Description

This book provides a comprehensive introduction to the differential and integral calculus. Written by mathematician William F. Osgood, it covers topics such as derivatives, integrals, limits, and series. With clear explanations and a wealth of examples and exercises, this book is an excellent resource for students and professionals alike. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.




An Elementary Course in the Integral Calculus


Book Description

Excerpt from An Elementary Course in the Integral Calculus This book has been written primarily for use at Cornell University and similar institutions. In this university the classes in calculus are composed mainly of students in engineering for whom an elementary course in the Integral Calculus is prescribed for the third term of the first year. Their purpose in taking the course is to acquire facility in performing easy integrations and the power of making the simple applications which arise in practical work. While the requirements of this special class of students have been kept in mind, care has also been taken to make the book suitable for any one beginning the study of this branch of mathematics. The volume contains little more than can be mastered by a student of average ability in a few months, and an effort has been made to present the subject-matter, which is of an elementary character, in a simple manner. The object of the first two chapters is to give the student a clear idea of what the Integral Calculus is, and of the uses to which it may be applied. As this introduction is somewhat longer than is usual in elementary works on the calculus, some teachers may, perhaps, prefer to postpone the reading of several of the articles until the student has had a certain amount of practice in the processes of integration. It is believed, however, that a careful study of Chapters I., II., will arouse the student's interest and quicken his understanding of the subject. 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.







Elementary Calculus


Book Description




Advanced Calculus (Revised Edition)


Book Description

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.







Calculus: Early Transcendentals


Book Description

We see teaching mathematics as a form of story-telling, both when we present in a classroom and when we write materials for exploration and learning. The goal is to explain to you in a captivating manner, at the right pace, and in as clear a way as possible, how mathematics works and what it can do for you. We find mathematics to be intriguing and immensely beautiful. We want you to feel that way, too.




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