A01=Joaquim Bruna
Area Formula
Author_Joaquim Bruna
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Category=PBKJ
Cauchy's Formula
Chain Rule
Change Of Coordinates
Circulation
Co-area Formula
Compact Sets
Complete Systems
Conformal Maps
Conservative Field
Constrained Optimization
Convolution
Curl
Curves
Differential
Differential Forms
Dirichlet Problem
Divergence
Divergence-free Field
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
First Integrals
Flux
Fubini's Theorem
Functional Dependence
Fundamental Theorem of Calculus
Gauss' Theorem
Gradient
Green's Formula
Green's Function
Harmonic Fields
Harmonic Functions
Helmholtz Decomposition
Implicit Function
Integral Geometry
Inverse Function
Isothermal Coordinates
Jacobians
Lebesgue Integral
Measurable Sets
Neumann's Problem
Ordinary Differential Equations
Orthogonal Systems
Partial Differential Equations
Poisson's Equation
Potentials
Real Analytic Functions
Regular Sub-Manifolds
Riemann Integral
Rigid Motions
Rotational-Free Field
Solenoidal Field
Stokes' Theorem
Surface Integral
Surfaces
Tangent Space
Taylor's Formula
Vector Fields
Volume Element
Product details
- ISBN 9781800611719
- Publication Date: 24 Nov 2022
- Publisher: World Scientific Europe Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Based on notes written during the author's many years of teaching, Analysis in Euclidean Space mainly covers Differentiation and Integration theory in several real variables, but also an array of closely related areas including measure theory, differential geometry, classical theory of curves, geometric measure theory, integral geometry, and others.With several original results, new approaches and an emphasis on concepts and rigorous proofs, the book is suitable for undergraduate students, particularly in mathematics and physics, who are interested in acquiring a solid footing in analysis and expanding their background. There are many examples and exercises inserted in the text for the student to work through independently.Analysis in Euclidean Space comprises 21 chapters, each with an introduction summarizing its contents, and an additional chapter containing miscellaneous exercises. Lecturers may use the varied chapters of this book for different undergraduate courses in analysis. The only prerequisites are a basic course in linear algebra and a standard first-year calculus course in differentiation and integration. As the book progresses, the difficulty increases such that some of the later sections may be appropriate for graduate study.
