A Course In Advanced Calculus
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A Course In Advanced Calculus
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Author : Robert S. Borden
language : en
Publisher: Courier Corporation
Release Date : 1998-01-01
A Course In Advanced Calculus written by Robert S. Borden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
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.
Advanced Calculus
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Author : Frederick Shenstone Woods
language : en
Publisher:
Release Date : 1954
Advanced Calculus written by Frederick Shenstone Woods and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Calculus categories.
Advanced Calculus
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Author : Patrick Fitzpatrick
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Advanced Calculus written by Patrick Fitzpatrick and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
A Problems Based Course In Advanced Calculus
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Author : John M. Erdman
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-07-09
A Problems Based Course In Advanced Calculus written by John M. Erdman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Mathematics categories.
This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.
Advanced Calculus
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Author : Frederick S. Woods
language : en
Publisher:
Release Date : 1932
Advanced Calculus written by Frederick S. Woods and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932 with Calculus categories.
Fast Start Advanced Calculus
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Author : Daniel Ashlock
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-09-26
Fast Start Advanced Calculus written by Daniel Ashlock and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-26 with Mathematics categories.
This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.
A Course In Advanced Calculus
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Author :
language : en
Publisher:
Release Date : 2009
A Course In Advanced Calculus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Old School Advanced Calculus
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Author : William Fite
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-03-11
Old School Advanced Calculus written by William Fite and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-11 with categories.
Old School Advanced Calculus is exactly what the title says it is: A full year course in advanced calculus the way it was offered at all American universities until the 1970's saw the sundering of the sequence into various "analysis for mathematicians" and "analysis for physical science students" courses. With the republication of this comprehensive, long-out-of-print text by Fite in a wonderfully inexpensive edition, the hope is to bring the advanced calculus course as it was taught for nearly half a century back into the consciousness of the 21st century mathematics and physical science students and educators. The main advantage of the original AC course, as exemplified by Fite, is a unified presentation of mathematical analysis comprised of virtually all the main topics of undergraduate analysis needed by both mathematics and physical science majors, covered using a uniform terminology and level of rigor. Even if each semester was taught by a different faculty member, they were both bound by more or less the same syllabus, which limited their ability to diverge from it drastically. When the subject selection, notation and rigor level is consistent throughout like it is with books like Fine's, then a balance that benefits all involved is achieved and maintained in the entire course. Pure mathematics students get exposed to important physical and geometric applications along with mathematical rigor. Physics and engineering students get exposed to pure mathematics and the abstract minimalist deductive skills it builds in them that will be invaluable when they begin research. Fite, in particular, does a terrific job of combining a careful "epsilon-delta' presentation of calculus of one and several variables with many applications to classical physics, differential equations and geometry. This book can be used for a number of different courses, either a standard classical advanced calculus course, an honors calculus course for strong freshman or independent reading by students or professors of analysis. Requiring only a year-long basic single variable calculus course as prerequisite, a course based on this book will give both the beginning mathematics major and serious physics or engineering major a thorough grounding in classical analysis and it's many applications in preparation for further research in either real variables or mathematical physics. A lengthy new preface has been added by Karo Maestro explaining the history of the advanced calculus course in America and where Fite's book was groundbreaking as one of the first standard such texts. He has also added a recommended reading section reviewing many of the other standard classical analysis texts for additional reading.
Advanced Calculus Of A Single Variable
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Author : Tunc Geveci
language : en
Publisher: Springer
Release Date : 2016-03-30
Advanced Calculus Of A Single Variable written by Tunc Geveci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Mathematics categories.
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.