Titlebook: A Geometric Approach to Differential Forms; David Bachman Textbook 20061st edition Birkhäuser Boston 2006 algebra.calculus.differential eq

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Albert Schweitzer’s Legacy for Educationwhich measures the variation of some other function. Suppose . is a 1-form on ℝ.. What do we mean by the “variation” of .? One thing we can try is to plug in a vector field .. The result is a function from ℝ. to ℝ. We can then think about how this function varies near a point . of ℝ.. But . can vary

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Textbook 20061st editionsible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler

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a natural picture that students can easily grasp; algebraic .The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial diff

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Albert Schweitzer’s Legacy for Education in a lot of ways, so we need to pick one. In Section 1.5, we learned how to take another vector, ., and use it to vary .. Hence, the derivative of ., which we shall denote “.,” is a function that acts on both . and .. In other words, it must be a 2-form!

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Textbook 20061st editiondimensions. A centerpiece of the text is the generalized Stokes‘ theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember...The text is designed to support three distinct course tracks: the first a

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eorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember...The text is designed to support three distinct course tracks: the first a978-0-8176-4520-5