The book presents a broad and in-depth overview of recent achievements and the current state of research in magnetohydrodynamic (MHD) oscillatory and wave phenomena in the coronae of the Sun and stars. Major progress in coronal wave studies has been achieved thanks to the combination of high-precision multi-wavelength observations with spaceborne and ground-based facilities, elaborated theory of the interaction of MHD waves with plasma non-uniformities, state-of-the-art numerical simulations, and novel data analysis techniques. It has allowed the research community to reach a new look at the role played by MHD wave processes in the enigmatic phenomena of coronal plasma heating and wind acceleration as well as powerful energy releases such as flares and coronal mass ejections. In addition, the waves are intensively used as natural probes in the remote diagnostics of the coronal plasma parameters and physical processes operating in solar and stellar coronae via the method of MHD seismology. Individual chapters cover recent cutting-edge results obtained on the analysis and theoretical modelling of several most intensively studied coronal MHD wave phenomena, namely, kink and sausage oscillations of coronal loops and other field-aligned plasma structures, plus running and standing slow magnetoacoustic waves. A dedicated chapter assesses the reliability of proposed theoretical mechanisms for heating of the coronal plasma by MHD waves. Another chapter summarizes the current state of our understanding of the physical mechanisms and observational properties of quasi-periodic pulsations in solar flares, considers their analogy with similar processes detected in stellar flares, and thus establishes solid ground for the further exploitation of the solar-stellar analogy. An important discussion of novel data analysis techniques designed recently for MHD seismology applications is presented in a devoted chapter. The direction of future advances in the designated research areas are discussed. The book is a spin-off from the Topical Collection "Oscillatory Processes in Solar and Stellar Coronae" of the journal Space Science Reviews.

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Professor Valery M Nakariakov graduated from the School of Radiophysics of Lobachevsky's Gorky (now - Nizhny Novgorod) State University in 1989. He defended his PhD thesis in Plasma Physics at the Applied Physics Institute of RAS in 1993. The topic of his PhD research was theoretical modelling of the interaction of waves with plasma non-uniformities. In 1995-1999 he was a postdoc at the University of St Andrews, UK. In 1999, he became Lecturer (Full Professor from 2007) and Head of the Solar Physics team in the Physics Department of the University of Warwick, UK. His main area of research is related to the observational study and theoretical modelling of magnetohydrodynamic waves in plasma structures on the Sun's Corona, new methods of plasma diagnostics, radiophysics of the Sun, and quasi-periodic processes in solar and stellar flares. From 2011-2014, he served as President of the European Solar Physics Division of the European Physical Society. In 2015, he was honored by the Payne-Gaposchkin Medal and Prize of the Institute of Physics, UK.Prof. Dipankar Banerjee is currently the director of the Aryabhatta Research Institute of Observational Sciences (ARIES), Nainital. He is an astrophysicist with a bachelor's degree in physics (St. Xavier's college) and master's degree in theoretical physics from University of Kolkata, India. He has obtained his PhD from Indian Institute of Astrophysics and completed two postdoctoral tenures in reputed institutions in Europe. He is the co-chair of the Science working group of the "Aditya" mission. Aditya is the first dedicated Indian mission to study the Sun, expected to be launched by ISRO around 2022. He is also the project coordinator for the National Large-Solar Telescope Project (NLST). NLST is a proposed 2-meter ground-based telescope planned to be installed at a Himalayan site. He is also involved with NASA's PUNCH mission. Dr. Banerjee has more than 120 peer-reviewed publications with around 3000 Citations in international journals. He is currently supervising 6 PhD students while 11 of his students have completed their PhDs.Dr. Bo Li received his BSc in Nuclear Physics and Technology from the University of Science and Technology of China (USTC) in 1996. He went on to pursue his post-graduate study in Space Physics at the same institution and received his PhD in Geophysics in 2001; the thesis being on magnetohydrodynamic waves in the highly inhomogeneous chromosphere and corona of the Sun. From 2002 to early 2009 he was a research assistant in Aberystwyth University, UK. Since 2009, he has been a professor at the School of Space Science and Physics of Shandong University in Weihai, China. Bo Li's current research interests are primarily with low-frequency waves and oscillations in the solar atmosphere and in a broad context, solar atmospheric seismology. He has extensive experience in multi-fluid modeling of the solar wind as well; paying special attention to the role of hydromagnetic waves/turbulence in wind heating and acceleration. Dr. Tongjiang Wang received his BSc and MSc in Astronomy and Astrophysics from Nanjing University, China in 1991 and 1994, respectively. He received his PhD degree in Solar Astrophysics from National Astronomical Observatories of China, Chinese Academy of Sciences in 1998. His PhD research was on observational studies of the magnetic field in solar active regions (Supervisor Prof. Guoxiang Ai) including various topics such as calibrations of the Multi-Channel Solar Telescope, the relationship of evolution of ARs' vector magnetic field, electric current, and magnetic topology with solar flare eruptions, as well as the hemispheric distribution of ARs' current helicity. After his PhD, he went on to pursue his postdoctoral studies at various institutions: From 2000-2001 PostDoc at Kwasan & Hida Observatories, Kyoto University, from 2001-2005 PostDoc at Max-Planck-Institute for Solar System Research, and