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Author: J. N. Sharma Publisher: Krishna Prakashan Media ISBN: Category : Algebraic topology Languages : en Pages : 474
Book Description
This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book.
Author: J. N. Sharma Publisher: Krishna Prakashan Media ISBN: Category : Algebraic topology Languages : en Pages : 474
Book Description
This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book.
Author: Publisher: ISBN: Category : Engineers Languages : en Pages : 782
Book Description
Fifth ed.- published in 7 vols.: Who's who in biotechnology; Who's who in chemistry & plastics; Who's who in civil engineering, earth sciences & energy; Who's who in electronics & computer science; Who's who in mechanical engineering & materials science; Who's who in physics & optics; and, Master index of expertise/master index of names.
Author: Lynn Harold Loomis Publisher: 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.
Author: Halsey Royden Publisher: Pearson Modern Classics for Advanced Mathematics Series ISBN: 9780134689494 Category : Functional analysis Languages : en Pages : 0
Book Description
This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Author: Jan W. Churchwell Publisher: Primary Source Microfilm ISBN: Category : Engineers Languages : en Pages : 840
Book Description
Directory of leading scientists and engineers who are the leaders in the most important areas of American technology. Each entry gives education, publications, achievements, area of expertise, honors, patents, and personal information.
Author: J. N. Sharma
Author: J. N. Sharma
Author: Bhāratī Kṛṣṇa Tīrtha
Author: Institute for Advanced Study (Princeton, N.J.)
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Author: Lynn Harold Loomis
Author: 
Author: Halsey Royden
Author: 
Author: Jan W. Churchwell
Author: Australian Academy of Science