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duxiu/initial_release/40186728.zip
傅立叶级数和球面调和函数的几何应用 H.GROEMER, H Groemer 北京/西安:世界图书出版公司, 2000, 2000
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians.
更多信息……
英语 [en] · 中文 [zh] · PDF · 8.2MB · 2000 · 📗 未知类型的图书 · 🚀/duxiu/zlibzh · Save
base score: 11068.0, final score: 167463.08
ia/geometricapplica0000groe.pdf
Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications, Series Number 61) Helmut Groemer Cambridge University Press (Virtual Publishing), Cambridge University Press, Cambridge, 1996
This Book Provides A Comprehensive Presentation Of Geometric Results, Primarily From The Theory Of Convex Sets, That Have Been Proved By The Use Of Fourier Series Or Spherical Harmonics. An Important Feature Of The Book Is That All Necessary Tools From The Classical Theory Of Spherical Harmonics Are Presented With Full Proofs. These Tools Are Used To Prove Geometric Inequalities, Stability Results, Uniqueness Results For Projections And Intersections By Hyperplanes Or Half-spaces And Characterisations Of Rotors In Convex Polytopes. Again, Full Proofs Are Given. To Make The Treatment As Self-contained As Possible The Book Begins With Background Material In Analysis And The Geometry Of Convex Sets. This Treatise Will Be Welcomed Both As An Introduction To The Subject And As A Reference Book For Pure And Applied Mathematics. H. Groemer. Includes Bibliographical References (p. 311-318) And Index.
更多信息……
英语 [en] · PDF · 17.1MB · 1996 · 📗 未知类型的图书 · 🚀/duxiu/ia · Save
base score: 11068.0, final score: 17462.078
lgli/F:\Library.nu\7a\_40531.7a30dbebc60dcc0f19b5679fe1a17d01.djvu
Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications, Series Number 61) Helmut Groemer Cambridge University Press (Virtual Publishing), Cambridge University Press, Cambridge, 1996
This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or half-spaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes. Results arising from these analytical techniques have proved useful in many applications, particularly those related to stereology. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets.
更多信息……
英语 [en] · DJVU · 1.5MB · 1996 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/zlib · Save
base score: 11055.0, final score: 17461.852
duxiu/initial_release/GEOMETRIC APPLICATIONS OF FOURIER SERIES AN SPHERICAL HARMONICS_40357325.zip
Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications, Series Number 61) Groemer, Helmut, H. Groemer Cambridge University Press (Virtual Publishing), 1996, 1996
This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. Almost all these geometric results appear here in book form for the first time. An important feature of the book is that all the necessary tools from classical theory of spherical harmonics are developed as concretely as possible, with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces, and characterizations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematicians. This Book Provides A Comprehensive Presentation Of Geometric Results, Primarily From The Theory Of Convex Sets, That Have Been Proved By The Use Of Fourier Series Or Spherical Harmonics. An Important Feature Of The Book Is That All Necessary Tools From The Classical Theory Of Spherical Harmonics Are Presented With Full Proofs. These Tools Are Used To Prove Geometric Inequalities, Stability Results, Uniqueness Results For Projections And Intersections By Hyperplanes Or Half-spaces And Characterisations Of Rotors In Convex Polytopes. Again, Full Proofs Are Given. To Make The Treatment As Self-contained As Possible The Book Begins With Background Material In Analysis And The Geometry Of Convex Sets. This Treatise Will Be Welcomed Both As An Introduction To The Subject And As A Reference Book For Pure And Applied Mathematics. H. Groemer. Includes Bibliographical References (p. 311-318) And Index.
更多信息……
英语 [en] · PDF · 68.5MB · 1996 · 📗 未知类型的图书 · 🚀/duxiu/zlibzh · Save
base score: 11068.0, final score: 17460.97
lgli/M_Mathematics/MC_Calculus/MCat_Advanced calculus/Groemer H. Geometric Applications of Fourier Series and Spherical Harmonics (CUP, 1996)(ISBN 9780521473187)(T)(343s)_MCat_.djvu
Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications, Series Number 61) Helmut Groemer Cambridge University Press (Virtual Publishing), Encyclopedia of mathematics and its applications ;, v. 61, Cambridge, New York, England, 1996
This Book Provides A Comprehensive Presentation Of Geometric Results, Primarily From The Theory Of Convex Sets, That Have Been Proved By The Use Of Fourier Series Or Spherical Harmonics. An Important Feature Of The Book Is That All Necessary Tools From The Classical Theory Of Spherical Harmonics Are Presented With Full Proofs. These Tools Are Used To Prove Geometric Inequalities, Stability Results, Uniqueness Results For Projections And Intersections By Hyperplanes Or Half-spaces And Characterisations Of Rotors In Convex Polytopes. Again, Full Proofs Are Given. To Make The Treatment As Self-contained As Possible The Book Begins With Background Material In Analysis And The Geometry Of Convex Sets. This Treatise Will Be Welcomed Both As An Introduction To The Subject And As A Reference Book For Pure And Applied Mathematics. H. Groemer. Includes Bibliographical References (p. 311-318) And Index.
更多信息……
英语 [en] · DJVU · 1.9MB · 1996 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/zlib · Save
base score: 11055.0, final score: 17458.826
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