Introduction To Mathematical Analysis
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Introduction To Mathematical Analysis
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Author : Igor Kriz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-25
Introduction To Mathematical Analysis written by Igor Kriz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-25 with Mathematics categories.
The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis, as understood by a mathematician today.
Mathematical Analysis
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Author : Andrew Browder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Analysis written by Andrew Browder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur ing, where algebra deals with counting.
Introductory Mathematical Analysis
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Author : Said Taan El-Hajjar
language : en
Publisher: Xlibris Corporation
Release Date : 2011-06-23
Introductory Mathematical Analysis written by Said Taan El-Hajjar and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-23 with Mathematics categories.
Introductory Mathematical Analysis includes topics from differential and integral calculus that are of interest to students of business, economics, finance and the social sciences. It begins with noncalculus topics such as equations, inequalities, functions, and mathematics of finance. This book contains the theoretical development of the real number system, the continuity, the differentiability, the integration of functions, and the convergence of sequences and series of real numbers. It also includes the development of sequences and series of functions and an analysis of the properties a limit function may inherit from its approximants. It is designed for students who have an intuitive understanding of and basic competency in the standard procedures of the calculus. Some proofs are sufficiently described but are not overdone. Our guiding philosophy led us to build on this foundation in such a way that pupils achieve the elementary results and acquire fundamental skills in higher business and higher calculus. Partially fulfills Core Mathematics requirement.
An Introduction To Mathematical Analysis
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Author : Robert A. Rankin
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
An Introduction To Mathematical Analysis written by Robert A. Rankin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Dealing chiefly with functions of a single real variable, this text by a distinguished educator introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. 1963 edition.
Introduction To Mathematical Analysis
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Author : William R. Parzynski
language : en
Publisher:
Release Date : 1987
Introduction To Mathematical Analysis written by William R. Parzynski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematical analysis categories.
An Interactive Introduction To Mathematical Analysis Paperback With Cd Rom
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Author : Jonathan Lewin
language : en
Publisher: Cambridge University Press
Release Date : 2003-01-13
An Interactive Introduction To Mathematical Analysis Paperback With Cd Rom written by Jonathan Lewin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-13 with Mathematics categories.
This book provides a rigorous course in the calculus of functions of a real variable. Its gentle approach, particularly in its early chapters, makes it especially suitable for students who are not headed for graduate school but, for those who are, this book also provides the opportunity to engage in a penetrating study of real analysis.The companion onscreen version of this text contains hundreds of links to alternative approaches, more complete explanations and solutions to exercises; links that make it more friendly than any printed book could be. In addition, there are links to a wealth of optional material that an instructor can select for a more advanced course, and that students can use as a reference long after their first course has ended. The on-screen version also provides exercises that can be worked interactively with the help of the computer algebra systems that are bundled with Scientific Notebook.
An Introduction To Mathematical Analysis
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Author : Robert Alexander Rankin
language : en
Publisher:
Release Date : 1968
An Introduction To Mathematical Analysis written by Robert Alexander Rankin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Introduction To Mathematical Analysis
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Author : Amritava Gupta
language : en
Publisher: Academic Publishers
Release Date : 2016-04-01
Introduction To Mathematical Analysis written by Amritava Gupta and has been published by Academic Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-01 with Mathematics categories.
This updated edition will serve the needs of advanced undergraduate students and initial post graduate students.
An Introduction To Mathematical Analysis
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Author : Jonathan Lewin
language : en
Publisher:
Release Date : 1988
An Introduction To Mathematical Analysis written by Jonathan Lewin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Matematiksel analiz categories.
Introduction To Mathematical Analysis
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Author : Naokant Deo
language : en
Publisher: Springer
Release Date : 2024-10-27
Introduction To Mathematical Analysis written by Naokant Deo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-27 with Mathematics categories.
This book is a straightforward and comprehensive presentation of the concepts and methodology of elementary real analysis. Targeted to undergraduate students of mathematics and engineering, it serves as the foundation for mathematical reasoning and proofs. The topics discussed are logic, methods of proof, functions, real number properties, sequences and series, limits and continuity and differentiation and integration (Riemann integral and Lebesgue integral). The book explains the concepts and theorems through geometrical and pictorial representation. Limits of sequences and functions, topology of metric spaces, continuity of functions and the Cauchy sequence have been thoroughly discussed in the book.