Multivariable Calculus and Differential Geometry

This book PDF is perfect for those who love Mathematics genre, written by Gerard Walschap and published by Walter de Gruyter GmbH & Co KG which was released on 01 July 2015 with total hardcover pages 365. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Multivariable Calculus and Differential Geometry books below.

Multivariable Calculus and Differential Geometry
Author : Gerard Walschap
File Size : 43,7 Mb
Publisher : Walter de Gruyter GmbH & Co KG
Language : English
Release Date : 01 July 2015
ISBN : 9783110369540
Pages : 365 pages
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Multivariable Calculus and Differential Geometry by Gerard Walschap Book PDF Summary

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

Multivariable Calculus and Differential Geometry

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on

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Multivariable Mathematics

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra

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Multivariate Calculus and Geometry

This book provides the higher-level reader with a comprehensive review of all important aspects of Differential Calculus, Integral Calculus and Geometric Calculus of several variables The revised edition, which includes additional exercises and expanded solutions, and gives a solid description of the basic concepts via simple familiar examples which are

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An Introduction to Multivariable Analysis from Vector to Manifold

Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student and researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the

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Manifolds  Vector Fields  and Differential Forms

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal

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A Geometric Approach to Differential Forms

This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by

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Differential Geometry

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and

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Connections  Sprays and Finsler Structures

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and

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