Join our mailing list
Get exclusive deals and learn about new products!
Skip to product information
Heritage and Advancements in Lattice Point and Sampling Regularization Theory Volume 1: From Gauss' Circle Problem to Lattice Point Distributions
$0.00
Reliable shipping
Flexible returns
Geosystems Mathematics
Heritage and Advancements in Lattice Point and Sampling Regularization Theory
Volume 1: From Gauss' Circle Problem to Lattice Point Distributions
Willi Freeden
Mathematics / Number Theory
This is the first book of two volumes dedicated to C. F. Gauss on the occasion of his 250th birthday. The objective of the two books is to demonstrate that the heritage of Gauss still has much to offer today in building a strong scientific bridge between mathematics and geoscience.
Volume 1 presents a proof of Hardy’s conjecture for the Gauss circle problem in geometric number theory. In fact, the verification of this conjecture represents a consequence of the
“transfer” of methods and frameworks from geomathematics to number theory. The essential ingredients originate from tools in mathematical (geo-)physics. Remarkably, the foundational techniques enable the recovery of significant topics in lattice point theory, including the Hardy–Landau identities and the planar non-uniform distribution of lattice points. Thus, Volume 1 can be characterized as a contribution to the geometric theory of numbers, strongly influenced by methods and procedures originating in geosystems mathematics.
This book will be valuable to a broad audience, including mathematicians working in number theory and applied mathematics, as well as professionals in the geosciences, such as geophysics and geoengineering.
Willi Freeden completed his studies in mathematics, geography, and philosophy at the RWTH Aachen University. In 1971, he obtained his Diploma in Mathematics, in 1972, his Staatsexamen in mathematics and geography, in 1975, his PhD in mathematics, and in 1979, his Habilitation. In 1981/1982, he was a visiting research professor at the Ohio State University, Columbus (Department of Geodetic Science and Surveying). He became a professor of mathematics at the RWTH Aachen University (Institute of Pure and Applied Mathematics) in 1984 and later in 1989, joined the University of Kaiserslautern as a professor of technomathematics (Industrial Mathematics). He was appointed and has been the Head of the Geomathematics Group since 1994 and he was the Vice President for Research and Technology at the University of Kaiserslautern, a position he held from 2002 to 2006.
| Publication Date: | 26 December 2026 |
| Publisher: | Springer Nature Switzerland |
| Imprint: | Birkhäuser |
| ISBN-13: | 9783032346629 |
| Format: | Hardback |