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Ramanujan’s Notebooks
During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapte...
Advances in Physical Metallurgy
This volume focuses on the wealth of existing literature on physical metallurgy, and deals with materials in different states of order and the process of order evolution. It is a valuable reference by students and researchers in the field of materials science and metallurgy.
Ramanujan's Lost Notebook
In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.
Nanomedicine and Cancer
The nanosciences are a rapidly expanding field of research with a wide applicability to all areas of health. They encompass a variety of technologies ranging from particles to networks and nanostructures. This book focuses on the application of nanomedicine and nanotechnology to cancer. It introduces nanocarriers, nanorods, nanoprobes nanoplatforms, nanorings, nanotubes nanowires, nano-sensor arrays and a variety of methodological techniques. This is done within the framework of numerous cancer types. Contributors are all leading experts and are carrying out groundbreaking work. The book is essential reading for oncologists, research scientists, doctors, health care professionals, pathologists, biologists, biochemists, chemists and physicists as well as those interested in disease and nanosciences or cancer in general.
Nanobiomaterials
There is a continuous exchange of ideas taking place at the border of the biological and physical sciences in many areas of nanoscience. Nanotechnology uses biomimetic or bio-inspired processes to produce nanosized materials for applications in biology and other fields. In return, the fruits of nanotechnology are applied to expanding areas of biome
Ramanujan's Theta Functions
Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.
Magnetic Soft Matter
Magnetically responsive soft matter is a colloidal model system where interparticle interactions can be tuned through external magnetic fields. Covering the most recent literature in the field, with special emphasis on the physical mechanisms behind their rheological behaviour, this book aims to demonstrate the controllability of soft matter through an external (magnetic) stimulus. With chapters written by leading experts, fundamental topics are complemented by cutting edge research, in particular, discussions on advances in sedimentation stability, structural characterization using microCT, surface functionalization, bidisperse composites, self-assembly at interfaces and collective dynamics, friction and shear-thickening, dynamics, self-assembly and rheology under unsteady triaxial magnetic fields, theoretical developments and particle level numerical simulations, including contact forces and biomedical and tissue engineering applications. This complete perspective of the field attempts to bridge the gap between fundamentals and applications and is an excellent addition to any soft matter scientist’s library.
High Entropy Materials
This book provides a detailed overview of high entropy materials and alloys, discussing their structure, the processing of bulk and nanostructured alloys as well as their mechanical and functional properties and applications. It covers the exponential growth in research which has occurred over the last decade, discussing novel processing techniques, estimation of mechanical, functional and physical properties, and utility of these novel materials for various applications. Given the expanding scope of HEAs in ceramics, polymers, thin films and coating, this book will be of interest to material scientists and engineers alike.
Structural, electrical and magnetic properties of rare earth doped spinel ferrites
The first natural magnetic material found to man in pre historic time was magnetite (Fe3O4), which is now known as ferrous ferrite. The story of ferrites begins with the search for ferromagnetic material of usual high resistivity to obtain reasonable low eddy current losses. When ferrimagnetic materials placed in alternating field, eddy current generates into them, which dissipates energy. These losses can be reduced by lamination of ferrimagnetic core to restrict eddy current. Since, eddy current losses are inversely proportional to the resistivity; they can be minimized by use of magnetic materials of high resistivity. Ferrites having resistivity of up to 107Ωm as compared to 10-7Ωm of iron, reduces the eddy current losses in them to a negligible value, even at microwave frequencies.
High-Entropy Materials: Theory, Experiments, and Applications
This book discusses fundamental studies involving the history, modelling, simulation, experimental work, and applications on high-entropy materials. Topics include data-driven and machine-learning approaches, additive-manufacturing techniques, computational and analytical methods, such as density functional theory and multifractal analysis, mechanical behavior, high-throughput methods, and irradiation effects. The types of high-entropy materials consist of alloys, oxides, and ceramics. The book then concludes with a discussion on potential future applications of these novel materials.
