This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics
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This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize stude
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This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years,
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There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these
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The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and
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Preface These are the lecture notes for Math 3210 (formerly named Math 321), Manifolds and Differential Forms, as taught
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A substantial course in real analysis is an esential part of the preparation of any potential mathematician. Analysis on
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This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles o
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