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Start your reading journey today on DL4ALL.org and unlock a world of imagination, knowledge, and inspiration!  Free Download Synthesis and Application of Luminescent Materials by Binbin Chen English | 2024 | ISBN: 3725828466 | 144 Pages | True PDF | 26 MB  Free Download Symplectic Methods in Harmonic Analysis and in Mathematical Physics by Maurice A. Gosson English | PDF (True) | 2011 | 351 Pages | ISBN : 3764399910 | 5.3 MB The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin's global theory of pseudo-differential operators, and Feichtinger's theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent with ongoing research. For instance, a non-standard pseudo-differential calculus on phase space where the main role is played by "Bopp operators" (also called "Landau operators" in the literature) is introduced and studied. This calculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtinger's modulation spaces are key actors.  Free Download Symplectic Invariants and Hamiltonian Dynamics by Helmut Hofer , Eduard Zehnder English | PDF (True) | 2011 | 353 Pages | ISBN : 3034801033 | 3.9 MB The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preserving mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology.  Free Download Symplectic Geometry of Integrable Hamiltonian Systems by Michèle Audin , Ana Cannas Silva , Eugene Lerman English | PDF (True) | 2003 | 225 Pages | ISBN : 3764321679 | 16.1 MB Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book).  Free Download Symplectic Geometry and Secondary Characteristic Classes by Izu Vaisman English | PDF | 1987 | 225 Pages | ISBN : 1475719620 | 11.1 MB The present work grew out of a study of the Maslov class (e. g. (37]), which is a fundamental invariant in asymptotic analysis of partial differential equations of quantum physics. One of the many in terpretations of this class was given by F. Kamber and Ph. Tondeur (43], and it indicates that the Maslov class is a secondary characteristic class of a complex trivial vector bundle endowed with a real reduction of its structure group. (In the basic paper of V. I. Arnold about the Maslov class (2], it is also pointed out without details that the Maslov class is characteristic in the category of vector bundles mentioned pre viously. ) Accordingly, we wanted to study the whole range of secondary characteristic classes involved in this interpretation, and we gave a short description of the results in (83]. It turned out that a complete exposition of this theory was rather lengthy, and, moreover, I felt that many potential readers would have to use a lot of scattered references in order to find the necessary information from either symplectic geometry or the theory of the secondary characteristic classes. On the otherhand, both these subjects are of a much larger interest in differential geome try and topology, and in the applications to physical theories.  Free Download Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 by Denis Auroux , Marco Manetti , Paul Seidel , Bernd Siebert , Ivan Smith English | PDF | 2008 | 363 Pages | ISBN : 3540782788 | 3.8 MB Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics.  Free Download Emil Makovicky, "Symmetry: Through the Eyes of Old Masters" English | ISBN: 3110417057 | 2016 | 260 pages | EPUB | 131 MB A large range of symmetries in art is presented through clear and aesthetically outstanding examples of historical ornaments. Compendious comments illustrate the selected photographic material by addressing the interested and specialist reader alike.  Free Download Symmetrical and Asymmetrical Distributions in Statistics and Data Science by Arne Johannssen, Nataliya Chukhrova English | 2024 | ISBN: 372582150X | 270 Pages | True PDF | 26 MB  Free Download Sustainable Water Solutions in the Western Desert, Egypt: Dakhla Oasis by Erina Iwasaki English | EPUB | 2021 | 295 Pages | ISBN : 3030640043 | 156.7 MB This book is a multidisciplinary manuscript bringing together contributions on water issues from natural and social scientists focused on water management and structures in a challenging environmental situation such as Dakhla Oasis in Egypt's western desert. The authors of this book are relevant scientists in hydrology, geology, remote sensing, agriculture, history, and sociology.  Free Download Larry E. Erickson, "Sustainable Energy Pathways to Net Zero" English | ISBN: 1032499419 | 2024 | 134 pages | PDF | 4 MB Sustainable Energy Pathways to Net Zero addresses realistic pathways between now and 2050 to reach net zero: a steady state concentration of greenhouse gases in the atmosphere. It discusses solar and wind energy, hydrogen, energy storage, and electric vehicles, all of which are becoming an increasingly cost-efficient part of these pathways. Hydrogen, the price of electricity, the integration of different sources of electricity into the electrical grid, and the electric vehicle charging networks are crucial in balancing supply and demand. This book describes how these different energy factors fit together. It emphasizes the fact that the intersection of these technologies is where the most profound advances can occur. |
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