advanced calculus loomis

Prerequisites are an introduction to linear algebra and multivariable calculus.

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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. There are no discussion topics on this book yet.

This book is based on an honors course in advanced calculus that the authors gave in the 1960's. I don't think that you need to be a "will-be" mathematician or some kind of genius to understand this book like some comment says, because I managed to get much out of this book.

This shopping feature will continue to load items when the Enter key is pressed. 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. There was an error retrieving your Wish Lists. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. I only wish I had read this book early on in my undergraduate career. This book is based on an honors course in advanced calculus … All Rights Reserved. }. Reviewed in the United Kingdom on April 6, 2015. 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. I gave Zorich's book 5 stars, so I can only give this book 4 stars. 12 Partitions and equivalence relations 19, 4 Affine subspaces and quotient spaces 52, Chapter 2 Finite-Dimensional Vector Spaces, 7 The diagonalization of a quadratic form 111, 7 Directional derivatives; the mean-value theorem 146, 8 The differential and product spaces 152, 12 Submanifolds and Lagrange multipliers 172, 14 Uniform continuity and function-valued mappings 179, 16 The second differential and the classification of critical points 186, 1 Metric spaces; open and closed sets 195, 9 The contraction mapping fixed-point theorem 228, 10 The integral of a parametrized arc 236, 2 Differentiable dependence on parameters 274, 5 The subspace an of alternating tensors 310, 8 Exterior powers of scalar product spaces 319, 10 Integration of contented functions 338, 14 Problem set: The Fourier transform 355, Chapter 10 The Integral Calculus on Manifolds, 5 Fullback and Lie derivatives of densities 416, 2 Oriented manifolds and the integration of exterior differential forms 433, 5 Some illustrations of Stokes' theorem 449, 6 The Lie derivative of a differential form 452, Appendix II Elementary differential geometry of surfaces in E3 459, 6 Consequences of the Poisson integral formula 485, 13 Problem set: The calculus of residues 503, 3 The fundamental linear differential form on T*(M) 515, 4 The fundamental exterior two-form on T*(M) 517, ©1997-2020 Barnes & Noble Booksellers, Inc. 122 Fifth Avenue, New York, NY 10011. I have completed reading Calculus by Apostol Vol 1 and 2 and reached nearly half-way through Baby Rudin. The present new edition should be very welcome to the younger generations of students, teachers and researchers in mathematics and natural sciences, not only as a standard text but also as a reference work.” W Kleinert Berlin 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. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. I don't think that you need to be a "will-be" mathematician or some kind of genius to understand this book like some comment says, because I managed to get much out of this book.

This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Previously, the official title was Honors Advanced Calculus and Linear Algebra . I had taken a look at that book, and it seems to be that the book treats the vector calculus…

This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

-- Gary Walker, Ph.D-physics, Reviewed in the United States on March 19, 2018, Reviewed in the United States on October 1, 2017, Reviewed in the United States on August 31, 2017.

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The contents is fine, although less mathematically inclined readers (like myself) will find the book by R. C. Buck.

This book presents linear algebra (a chapter on generalities that hold for all vector spaces, one specializing to the finite dimensional case, later on one about scalar product spaces, and one for multilinear algebra) and multivariable calculus (the differential of maps between normed vector spaces, a quicky on existence and uniqueness theorems for differential equations, and integration of differential forms on manifolds) in a way that makes clear the underlying simplicity and coherence of the subjects.

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. Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- You may also like, {"modules":["unloadOptimization","bandwidthDetection"],"unloadOptimization":{"browsers":{"Firefox":true,"Chrome":true}},"bandwidthDetection":{"url":"https://ir.ebaystatic.com/cr/v/c1/thirtysevens.jpg","maxViews":4,"imgSize":37,"expiry":300000,"timeout":250}}.

Must read for all would-be analysts, geometers, Reviewed in the United States on April 23, 2016. This book is self-contained and starts with the creation of basic tools using the completeness axiom. In my efforts to improve my understanding of maths, I bought this book. Unless one is exceptionally gifted and able to quickly assimilate abstract concepts, a solid course in one-variable real analysis is probably the minimal requirement for using this text (for example, the first 8 chapters of Rudin's Principles of Mathematical Analysis); the level of mathematical sophistication reached by the end of the book is such that it puts the student at a good spot to pursue graduate courses in modern analysis.

For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.

Advanced Calculus (Revised Edition) | Loomis, Lynn Harold, Sternberg, Shlomo Zvi | ISBN: 9789814583930 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon.

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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. Refresh and try again. Such material is normally covered in the later years of an engineering or applied physical sciences degree course, or the first and second years of a mathematics degree course. … -- Gary Walker, Ph.D-physics, Reviewed in the United States on March 19, 2018, Reviewed in the United States on October 1, 2017, Reviewed in the United States on August 31, 2017. 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. The material is structured to benefit those students whose interests lean toward either research in mathematics or its applications.

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