Helmut Groemer

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.

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.

如果你是一位剛被提升的經理并且在升遷的同時需要有所行動，本書將為你提供相關的指導。它將以你在新職位的第一天作為開始，以你長期工作的關鍵性成功因素作為結束。具體為你設計如何應對在沒有經驗和短期培訓的情況下管理一群人。 這本書的主要目的在于填補你開始管理工作與正式培訓之間的時間和知識的空白。 如何培訓剛剛走上領導和管理崗位的新人是世界范圍內各個公司都面臨的最緊迫與頻繁出現的問題，也是一個未充分解決的問