Series: Operator Theory: Advances and Applications , Vol. 187
2009, Approx. 265 p., Hardcover
ISBN: 978-3-7643-8892-8
Due: October 2008
This volume contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications.
Editorial Introduction.- Contributions by D. Alpay, J.A. Ball, A. Bottcher, A. Biswas, M.R. Capobianco, G. Criscuolo, M. Cho, M. Demuth, Y. Dong, G. Exner, Q. Fang, A.E. Frazho, M. Fujii, M. Giga, I. Gohberg, S. Grudsky, R. Harte, I.H. Jeon, I.B. Jung, P. Junghanns, M.A. Kaashoek, E. Kamei, A.H. Kim, I.H. Kim, C. Li, V.S. Rabinovich, S. Roch, M. Schwartz, M. Seto, B. Silbermann, K. Tanahashi, S. ter Horst, A. Uchiyama, M. Uchiyama, A. Yagi, W. Zelazko.
Series: Topological Fixed Point Theory and Its Applications , Vol. 5
2008, IX, 261 p. 17 illus., Hardcover
ISBN: 978-1-4020-8723-3
Due: July 11, 2008
Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations.
Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis.
Volume package Collected Papers of Bertram Kostant
2009, Approx. 610 p. 3 illus., Hardcover
ISBN: 978-0-387-09582-0
Due: November 2008
Kostant’s work spans over 50 years and contains fundamental and varied contributions to many aspects of Lie theory, a subject pervading almost the whole of mathematics
His interests span a tremendous range from differential geometry to representation theory, abstract algebra, and mathematical physics
Kostant’s papers demonstrate deep results, giving rise to whole new fields of activities
Volume I contains Kostant’s summaries of his papers in his own words
Volume I develops beautiful themes which are further elaborated in Volumes II-V
For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties.
During his years as professor at the Massachusetts Institute of Technology from 1962 until retiring from teaching in 1993, he received many honors and prizes: election to the National Academy of Sciences USA, the American Academy of Arts and Sciences, the AMS Steele Prize, Honorary Doctorates from University of Cordoba, Argentina, the University of Salamanca, Spain, Purdue University. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world.
This is the first volume (1955-1966) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this first volume is Kostant's commentaries and summaries of his papers in his own words.
2009, Approx. 600 p. 211 illus., Hardcover
ISBN: 978-0-387-74640-1
Due: November 2008
Due to the author's correspondence with van der Waerden, Erdos, and Schur, this book contains material that has never before been published
Historians of mathematics will find much new information, along with old errors corrected and published here for the first time in book form
I have never encountered a book of this kind. The best description of it I can give is that it is a mystery novel… I found it hard to stop reading before I finished (in two days) the whole text. Soifer engages the reader's attention not only mathematically, but emotionally and esthetically. May you enjoy the book as much as I did!
Epigraph.- Foreword by Branko Grunbaum.- Foreword by Peter Johnson, Jr.- Foreword by Cecil Rousseau.- Greetings to the reader.- Merry-go-round.- Colored plane: chromatic number of the plane.- Coloring graphs.- Coloring maps.- Colored graphs.- The Ramsey principle.- Colored integers.- Colored polygons.- Colored integers in service of chromatic number of the plane.- Predicting the future.- Farewell to the reader.- Bibliography.- Index of names.- Index of terms.- Index of notations.
Series: Operator Theory: Advances and Applications , Vol. 188
2009, Approx. 300 p., Hardcover
ISBN: 978-3-7643-8910-9
Due: November 2008
This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations.
2009, Approx. 150 p., Hardcover
ISBN: 978-3-7643-8572-9
Due: December 2008
Matroid theory was invented independently by two mathematicians in the middle of the 1930’s, namely, Hassler Whitney in USA and Takeo Nakasawa in Japan. The former is famous, but unfortunately the latter had remained anonymous until a decade or two ago. The latter is still less known than the former. The book consists of four parts. The first part consists of his four German papers, which were published in the same journal issued by a Japanese extinct university. The second part consists of their English translations. The third part is devoted to an explanation of Nakasawa’s life and his times. The fourth part deals with the comparison between the two fathers of matroid theory.
The life of Nakazawa Takeo.- Zur Axiomatik der linearen Abhangigkeit. I.-III.- Uber die Abbildungskette vom Projektionsspektrum