The Divergence Theorem and Sets of Finite Perimeter
Title | The Divergence Theorem and Sets of Finite Perimeter PDF eBook |
Author | Washek F. Pfeffer |
Publisher | CRC Press |
Total Pages | 259 |
Release | 2016-02-03 |
Genre | Mathematics |
ISBN | 1466507217 |
This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration- no generalized Riemann integrals of Henstock-Kurzweil variety are involved.In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral an
Sets of Finite Perimeter and Geometric Variational Problems
Title | Sets of Finite Perimeter and Geometric Variational Problems PDF eBook |
Author | Francesco Maggi |
Publisher | Cambridge University Press |
Total Pages | 475 |
Release | 2012-08-09 |
Genre | Mathematics |
ISBN | 1107021030 |
An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
Measure Theory
Title | Measure Theory PDF eBook |
Author | D. H. Fremlin |
Publisher | Torres Fremlin |
Total Pages | 967 |
Release | 2000 |
Genre | Fourier analysis |
ISBN | 0953812944 |
Geometric Harmonic Analysis I
Title | Geometric Harmonic Analysis I PDF eBook |
Author | Dorina Mitrea |
Publisher | Springer Nature |
Total Pages | 940 |
Release | 2022-11-04 |
Genre | Mathematics |
ISBN | 3031059506 |
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Calculus of Variations and Nonlinear Partial Differential Equations
Title | Calculus of Variations and Nonlinear Partial Differential Equations PDF eBook |
Author | Luigi Ambrosio |
Publisher | Springer Science & Business Media |
Total Pages | 213 |
Release | 2008-01-02 |
Genre | Mathematics |
ISBN | 3540759131 |
With a historical overview by Elvira Mascolo
The Separable Galois Theory of Commutative Rings
Title | The Separable Galois Theory of Commutative Rings PDF eBook |
Author | Andy R. Magid |
Publisher | CRC Press |
Total Pages | 184 |
Release | 2014-07-14 |
Genre | Mathematics |
ISBN | 1482208067 |
The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains a n
Geomathematically Oriented Potential Theory
Title | Geomathematically Oriented Potential Theory PDF eBook |
Author | Willi Freeden |
Publisher | CRC Press |
Total Pages | 468 |
Release | 2012-10-30 |
Genre | Mathematics |
ISBN | 1439895430 |
As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today's satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth's gravitational and magnetic field. Geomathematically Orien