Author : Yuefan Deng Genre : Mathematics Publisher : ISBN : 1480278874 Type book : PDF, Epub, Kindle and Mobi
File Download : 762 page
This unique book of Ordinary Differential Equations and Laplace Transforms is written for advanced undergraduate students in science, engineering, finance, economics, as well as applied mathematics. It is unique because it contains nearly 1,000 examples and their detailed solutions. A study guide and a textbook merged in one volume, the book solves practical application problems and addresses theory issues. An award-winning professor loved by many of the more than 4,000 students who took his Calculus IV at Stony Brook University, Dr. Yuefan Deng distills his lectures for more 30 semesters to form this manuscript. You will love it.
Author : Lynn Harold Loomis Genre : Mathematics Publisher : World Scientific Publishing Company ISBN : 9789814583954 Type book : PDF, Epub, Kindle and Mobi
File Download : 596 page
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.