Series:De Gruyter Studies in Mathematical Physics
This monograph reviews advanced topics in the area of nonlinear dynamics. Starting with theory of integrable systems ? including methods to find and verify integrability ? the remainder of the book is devoted to non-integrable systems with an emphasis on dynamical chaos. Topics include structural stability, mechanisms of emergence of irreversible behaviour in deterministic systems as well as chaotisation occurring in dissipative systems.
24 x 17 cm, xx, 270 pages
20 Fig.
Language: English
Type of Publication: Monograph
Mathematics > Applied Mathematics
Physics > Theoretical and Mathematical Physics
Physics > Mechanics and Fluid Dynamics
Physics > Nonlinear and Complex Systems
Alexander V. Borisov, Udmurt State University, Russia.
Series:De Gruyter Studies in Mathematical Physics 35
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrodinger algebras, applications to holography.
This first volume covers the general aspects of Lie algebras and group theory.
Approx. x, 350 pages 50 Fig.
Language: English
Type of Publication: Monograph
Mathematics > Analysis
Physics > Theoretical and Mathematical Physics
Physics > Quantum Physics
Physics > Relativity and Gravitational Physics
Vladimir Dobrev, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Series:De Gruyter Studies in Mathematical Physics
With applications in quantum field theory, general relativity and elementary particle physics, this two-volume work studies invariance of differential operators under lie algebras, quantum groups and superalgebras.
This second volume covers quantum groups and quantum algebras, supersymmetry and Virasoro algebras.
x, 450 pages 50 Fig.
Language: English
Type of Publication: Monograph
Mathematics > Analysis
Physics > Theoretical and Mathematical Physics
Physics > Quantum Physics
Physics > Relativity and Gravitational Physics
Vladimir Dobrev, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Hindustan Book Agency
Volume: 71; 2016; 84 pp; Softcover
MSC: Primary 11; Secondary 14
Print ISBN: 978-93-80250-83-0
This book is intended to be an introduction to Diophantine geometry. The central theme is the investigation of the distribution of integral points on algebraic varieties.
The text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material.
Anyone interested in Diophantine geometry.
Hindustan Book Agency
Volume: 72; 2016; 94 pp; Softcover
MSC: Primary 01; 11;
Print ISBN: 978-93-80250-82-3
This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert's Seventh Problem (from the International Congress of Mathematicians in Paris, 1900).
This volume is suitable for both mathematics students wishing to experience how different mathematical ideas can come together to establish results and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert's problem and established a modern theory of transcendental numbers.
In some instances, proofs have been replaced by a detailed analysis of particular cases. Readers are referred to the quoted papers for complete proofs.
Siegel's finiteness theorem for integral points on curves plays a central role. The book ends with the analysis of integral points on surfaces.
Students and research mathematicians interested in Hilbert's seventh problem.