Contemporary Mathematics, Volume: 629
2014; 348 pp; softcover
ISBN-13: 978-1-4704-1093-3
This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linkoping University.
The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.
Graduate students and research mathematicians interested in complex and p-a
Contemporary Mathematics, Volume: 630
2014; 366 pp; softcover
ISBN-13: 978-1-4704-1043-8
In 2012, the Centre de Recherches Mathematiques was at the center of many interesting developments in geometric and spectral analysis, with a thematic program on Geometric Analysis and Spectral Theory followed by a thematic year on Moduli Spaces, Extremality and Global Invariants.
This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012.
The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kahler-Einstein metrics, analytic torsion, and Strichartz estimates.
Graduate students and research mathematicians interested in geometric ana
Subject Area: Higher Education - Probability & Statistics
ISBN-13: 9780128022122
Pub Date: 02/01/2015
Pages: Approx 255 Pages
Product Type: Softcover
Shelving Classification:
MATHEMATICS / Probability & Statistics / General
Reflects the possibility and effectiveness of this method of modeling systems, such as phase merging algorithms developed by V.S. Korolyuk, A.F. Turbin, A.V. Swishchuk, little covered elsewhere
Focuses on possible applications to engineering control systems
Subject Area: Chemistry - Applied Mathematics
ISBN-13: 9780128023181
Pub Date: 06/01/2015
Pages: Approx 230 Pages
Product Type: Softcover
Shelving Classification:
MATHEMATICS / Combinatorics
Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications
Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography
Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers
Part of Encyclopedia of Mathematics and its Applications
Publication planned for: June 2015
format: Hardback
isbn: 9780521811552
This third volume of four finishes the program begun in Volume 1 by describing all the most important techniques, mainly based on Grobner bases, which allow one to manipulate the roots of the equation rather than just compute them. The book begins with the 'standard' solutions (Gianni?Kalkbrener Theorem, Stetter Algorithm, Cardinal?Mourrain result) and then moves on to more innovative methods (Lazard triangular sets, Rouillier's Rational Univariate Representation, the TERA Kronecker package). The author also looks at classical results, such as Macaulay's Matrix, and provides a historical survey of elimination, from Bezout to Cayley. This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.
Preface
Setting
Part VI. Algebraic Solving:
39. Trinks
40. Stetter
41. Macaulay IV
42. Lazard II
43. Lagrange II
44. Kronecker IV
45. Duval II
Bibliography
Index.
Part of Cambridge Monographs on Mathematical Physics
Publication planned for: March 2015
format: Hardback
isbn: 9781107089693
The past two decades have seen transformative advances in cosmology and string theory. Observations of the cosmic microwave background have revealed strong evidence for inflationary expansion in the very early universe, while new insights about compactifications of string theory have led to a deeper understanding of inflation in a framework that unifies quantum mechanics and general relativity. Written by two of the leading researchers in the field, this complete and accessible volume provides a modern treatment of inflationary cosmology and its connections to string theory and elementary particle theory. After an up-to-date experimental summary, the authors present the foundations of effective field theory, string theory, and string compactifications, setting the stage for a detailed examination of models of inflation in string theory. Three appendices contain background material in geometry and cosmological perturbation theory, making this a self-contained resource for graduate students and researchers in string theory, cosmology, and related fields.
1. Inflation: theory and observations
2. Inflation in effective field theory
3. Elements of string theory
4. What is string inflation?
5. Examples of string inflation
6. Conclusions and outlook
Appendix A. Mathematical preliminaries
Appendix B. The effective theory of inflation
Appendix C. Primordial perturbations from inflation.