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Ramanujan’s Notebooks
  • Language: en
  • Pages: 521

Ramanujan’s Notebooks

Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.

Ramanujan
  • Language: en
  • Pages: 266

Ramanujan

Another excellent book long out of print but much in demand. This book is pulled together by Ramanujan's primary mentor, G. H. Hardy, who was the first to recognize the amazing nature of Ramanujan's ideas. Another exceptional classic from the Chelsea list.

Ramanujan's Lost Notebook
  • Language: en
  • Pages: 460

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.

The Man Who Knew Infinity
  • Language: en
  • Pages: 464

The Man Who Knew Infinity

A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.

Advances in Physical Metallurgy
  • Language: en
  • Pages: 570

Advances in Physical Metallurgy

  • Type: Book
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  • Published: 2023-06-14
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  • Publisher: CRC Press

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 Theta Functions
  • Language: en
  • Pages: 696

Ramanujan's Theta Functions

  • Type: Book
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  • Published: 2017-06-12
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  • Publisher: Springer

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.

Proceedings of the 3rd International Conference on Advanced Surface Enhancement (INCASE) 2023
  • Language: en
  • Pages: 418
Nanostructured Photocatalyst via Defect Engineering
  • Language: en
  • Pages: 388

Nanostructured Photocatalyst via Defect Engineering

This book helps readers comprehend the principles and fundamentals of defect engineering toward realization of an efficient photocatalyst. The volume consists of two parts, each of which addresses a particulate type of defects. The first, larger section provides a comprehensive and rigorous treatment of the behaviour and nature of intrinsic defects. The author describes how their controlled introduction and consequent manipulation over concentration, distribution, nature and diffusion is one of the most effective and practical methodologies to modify the properties and characteristics of target photocatalytic materials. The second part of the book explains the formation of extrinsic defects ...

Modern Ferrites, Volume 1
  • Language: en
  • Pages: 501

Modern Ferrites, Volume 1

MODERN FERRITES, Volume 1 A robust exploration of the basic principles of ferrimagnetics and their applications In Modern Ferrites Volume 1: Basic Principles, Processing and Properties, renowned researcher and educator Vincent G. Harris delivers a comprehensive overview of the basic principles and ferrimagnetic phenomena of modern ferrite materials. Volume 1 explores the fundamental properties of ferrite systems, including their structure, chemistry, and magnetism; the latest in processing methodologies; and the unique properties that result. The authors explore the processing, structure, and property relationships in ferrites as nanoparticles, thin and thick films, compacts, and crystals an...

Structural, electrical and magnetic properties of rare earth doped spinel ferrites
  • Language: en
  • Pages: 127

Structural, electrical and magnetic properties of rare earth doped spinel ferrites

  • Categories: Art

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.