analysis in vector spaces a course in advanced calculus

Analysis in Vector Spaces: A Course in Advanced Calculus

Analysis in Vector Spaces: A Course in Advanced Calculus

ISBN: , SKU: , AUTHOR: Akcoglu, Mustafa A. / Bartha, Paul F. A. / Ha, Dzung Minh, PUBLISHER: Wiley-Interscience, The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples. The book aims to cultivate not only knowledge of the major theoretical results, but also the geometric intuition needed for both mathematical problem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology, and notation and also provide a basic introduction to set theory, the properties of real numbers, and a review of linear algebra. An elegant approach to eigenvector problems and the spectral theorem sets the stage for later results on volume and integration. Subsequent chapters present the major results of differential and integral calculus of several variables as well as the theory of manifolds. Additional topical coverage includes: Sets and functions Real numbers Vector functions Normed vector spaces First- and higher-order derivatives Diffeomorphisms and manifolds Multiple integrals Integration on manifolds Stokes' theorem Basic point set topology Numerous examples and exercises are provided in each chapter to reinforce new concepts and to illustrate how results can be applied to additional problems. Furthermore, proofs and examples are presented in a clear style that emphasizes the underlying intuitive ideas. Counterexamples are provided throughout the book to warn against possible mistakes, and extensive appendices outline the construction of real numbers, include a fundamental result about dimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra and single variable calculus, Analysis in Vector Spaces is an excellent book for a second course in analysis for mathematics, physics, computer science, and engineering majors at the undergraduate and graduate levels. It also serves as a valuable reference for further study in any discipline that requires a firm understanding of mathematical techniques and concepts.

A First Course in Calculus (Hardcover)

A First Course in Calculus (Hardcover)

This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts,each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition,the rear of the book contains detailed solutions to a large number of the exercises,allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

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Calculus, a complete course

Calculus, a complete course

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Linear Algebra and Essential Calculus University undergraduate course level

Linear Algebra and Essential Calculus University undergraduate course level

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CfE ADVANCED HIGHER ENGLISH TEXTUAL ANALYSIS BOOK (HODDER GIBSON)

CfE ADVANCED HIGHER ENGLISH TEXTUAL ANALYSIS BOOK (HODDER GIBSON)

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Collins Advanced Science Human Biology Course Book

Collins Advanced Science Human Biology Course Book

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Michel Thomas Method: Perfect Russian Advanced Course

Michel Thomas Method: Perfect Russian Advanced Course: An all-audio Russian course, with a running time of 6 hours.

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Collins Advanced Science Human Biology Course Book

Collins Advanced Science Human Biology Course Book

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Bagatrix - all in one Calculus and Algebra solutions

Bagatrix - all in one Calculus and Algebra solutions

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SPSS Data Analysis, Project Writing, Statistical Analysis

SPSS Data Analysis, Project Writing, Statistical Analysis

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Hugo Advanced Spanish Language Course: 3 CD's plus coursebook

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Wing Chun Kung Fu - Home Study Course - Beginner to Advanced

Wing Chun Kung Fu - Home Study Course - Beginner to Advanced

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BPP ACCA P6 Advanced Taxation course notes upto exam March

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Advances in Decision Analysis in City of London

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Learning and Doing Policy Analysis in Education in City of

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Are you stuck in doing the Data Analysis in Research plan?

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Statswork guide students and researchers in designing their study, data analysis, and interpretation. The outline of the research plan helps to identify why we are doing /conducting the study, how the study examines the research problem, why this research study is significant and recognize the research questions, which you are seeking to answer/examine in this particular research study. Planning of research is an intricate process, and it requires utmost care and diligence. It is important to give a clear and detailed attention when you plan for the research.

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Brand New Sealed Hugo Complete French Language Course - Beginners and Advanced (Books & CDs)

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