基本説明
世界数学年２０００を記念し、新しい２１世紀の数学の発展を考察したユニークな書籍。純粋・応用数学や関連分野の研究成果を包含した広大な数学の世界が数々のエッセイ、インタビューによって展望されます。
This is The mathematics book of the century, the contents: Antman,S.: Nonlinear Continuum Physics; Babuska, I./Tinsley Oden, J.: Computational Mechanics: Where is it Going?; Jorgensen, J./Lang, S.: The Heat Kernel all Over the Place.
Full Description
This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Bjorn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty.
Contents
From the contents: Antman, S.: Nonlinear Continuum Physics.- Babuska, I./Tinsley Oden, J.: Computational Mechanics: Where is it Going?- Bailey, D.H./Borwein J.M.: Experimental Mathematics: Recent Developments and Future Outlook.- Darmon, H.: p-adic L-functions.- Faltings, G.: Diophantine Equations.- Farin, G.: SHAPE.- Jorgensen, J./Lang, S.: The Heat Kernel all Over the Place.- Kluppelberg, C.: Developments in Insurance Mathematics.- Koblitz, N.: Cryptography.- Marsden, J./Cendra, H./Ratiu, T.: Geometric Mechanics, Lagrangian Reduction and Nonholonomic Systems.- Roy, M.-F.: Four Problems in Real Algebraic Geometry.- Serre, D.: Systems of Conservation Laws: A Challenge for the XXIst Century.- Spencer, J.: Discrete Probability.- van der Geer, G.: Error Correcting Codes and Curves Over Finite Fields.- von Storch, H./von Storch, J.-S., and Muller, P.: Noise in Climate Models ... And many more.
