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Problems in the Theory of Modular Forms
This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan Ď„-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field.
The Impacts and Opportunities of Oil Palm in Southeast Asia
Oil palm basics. Oil palm and palm oil. Historical summary. Palm oil biology, products and productivity. Oil palm cultivation. Yield and its improvement. Palm oil production and global trends. Palm oil production. Biofuel development, demand and expansion. Palm oil prices. The boom continues. A driver of deforestation?. Greenhouse gas emissions.
Operators on Hilbert Space
The primarily objective of the book is to serve as a primer on the theory of bounded linear operators on separable Hilbert space. The book presents the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus. It discusses a proof without digressing into a course on the Gelfand theory of commutative Banach algebras. The book also introduces the reader to the basic facts concerning the various von Neumann–Schatten ideals, the compact operators, the trace-class operators and all bounded operators.
Ultrafiltration and Microfiltration Handbook
Soon after its publication in 1987, the first edition of Ultrafiltration Handbook became recognized as the leading handbook on ultrafiltration technology. Reviews in professional journals praised it as an authoritative and substantive information resource on this technology. Now a completely, updated and expanded edition is available under the title, Ultrafiltration and Microfiltration Handbook. This practical handbook systematically covers the basics of this technology from its scientific fundamentals to a wide range of industrial applications. The presentation is clear and concise with the emphasis on practical use. Many schematics and micrographs illustrate membranes, equipment and processes. Numerous tables and graphs provide useful data on specifications and performance. The updated information is useful to all those involved in the use of separation and filtration in industrial processes.
Statistical Physics of Fracture, Breakdown, and Earthquake
In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible. They explain fracture-like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self-organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics.
Exact Renormalization Group, The - Proceedings Of The Workshop
The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.
Sustainable Bioenergy Production
Bioenergy is energy derived from biomass which includes biological material such as plants and animals, wood, waste, (hydrogen) gas, and alcohol fuels. In essence bioenergy is the utilisation of solar energy that has been bound up in biomass during the process of photosynthesis. Bioenergy is a renewable energy that can generate many additional benefits, the extent of which depends on a combination of factors including the types of feedstocks used, how they are produced and transported and the efficiency of the technologies deployed to convert them to bioenergy.
