Advanced Calculus Pdf Download

Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Size: 54.72 MB
Format: PDF, ePub, Docs
View: 5326
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.

Download Read Online


You May Also Like



Advanced Calculus Pdf Download

Author: Patrick Fitzpatrick
Publisher: American Mathematical Soc.
ISBN: 9780821847916
Size: 58.40 MB
Format: PDF, ePub, Docs
View: 2921


Advanced Calculus Pdf Download

Author: Harold M. Edwards
Publisher: Springer Science & Business Media
ISBN: 0817684123
Size: 57.13 MB
Format: PDF, ePub, Mobi
View: 1874


Advanced Calculus Pdf Download

Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Size: 17.49 MB
Format: PDF, ePub
View: 7530


Advanced Calculus Pdf Download

Author: David V. Widder
Publisher: Courier Corporation
ISBN: 0486134660
Size: 11.55 MB
Format: PDF, Kindle
View: 6678


Advanced Calculus Pdf Download

Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 0486137864
Size: 67.46 MB
Format: PDF
View: 4918


Advanced Calculus Pdf Download

Author: R. Creighton Buck
Publisher: Waveland PressInc
ISBN: 9781577663027
Size: 77.94 MB
Format: PDF, ePub, Docs
View: 4077


Advanced Calculus Pdf Download

Author: Voxman
Publisher: CRC Press
ISBN: 9780824769499
Size: 50.62 MB
Format: PDF, ePub, Mobi
View: 7249


Advanced Calculus Pdf Download

Author: John Srdjan Petrovic
Publisher: CRC Press
ISBN: 1466565640
Size: 51.50 MB
Format: PDF
View: 5682