Author: Catharinus Putnam BUCKINGHAMPublisher:
ISBN:
Category :
Languages : en
Pages : 356
Book Description
Elements of the Differential and Integral Calculus, by a new method, etc
Author: Catharinus Putnam BUCKINGHAMPublisher:
ISBN:
Category :
Languages : en
Pages : 356
Book Description
Elements of the Differential and Integral Calculus
Author: Catherinus Putnam BuckinghamPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 426
Book Description
The Elements of the Differential and Integral Calculus, with Numerous Examples and Familiar Illustrations, Etc
Author: James CONNELL (Master of the Mathematical Department in the High School of Glasgow.)Publisher:
ISBN:
Category :
Languages : en
Pages : 280
Book Description
Advanced Calculus (Revised Edition)
Author: Lynn Harold LoomisPublisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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 Reordered
Author: David M. BressoudPublisher: Princeton University Press
ISBN: 0691218781
Category : Mathematics
Languages : en
Pages : 242
Book Description
Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.
Foundations of Differential Calculus
Author: EulerPublisher: Springer Science & Business Media
ISBN: 0387226451
Category : Mathematics
Languages : en
Pages : 208
Book Description
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
The Differential and Integral Calculus, Etc
Author: Augustus De MorganCatalogue of Printed Books
Author: British Museum Catalogue of printed Books
Author: The United States Catalog
Author: Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2162
Book Description