The Physics and Mathematics of MRI

Magnetic resonance imaging (MRI) remains one of the most versatile and powerful diagnostic tools in modern medicine, yet its underlying physics and mathematics form a subtle and elegant synthesis of quantum mechanics, engineering principles, and signal processing. The first edition of The Physics and Mathematics of MRI provided a clear, rigorous bridge between abstract theory and practical MRI applications, making it a trusted resource for physical-science and engineering students entering medical-physics programs.

This second edition builds on that foundation with updated content and expanded coverage of recent advances in MRI hardware, pulse-sequence design, and clinical and research applications. New chapters introduce cutting-edge developments in hyperpolarisation, advanced functional imaging, cardiac MRI, deep-learning-based reconstruction methods, and contemporary safety considerations—all while preserving the accessible, equation-driven exposition that defined the original text. A new section explains the mathematics of AI and its application can enhance multiple aspects of MRI. Whether you are an undergraduate or graduate student, a researcher, or a clinical physicist seeking deeper understanding, this revised edition offers a comprehensive, mathematically grounded exploration of how MRI works—from the behaviour of nuclear spins to the formation of high-quality clinical images. Open the book and discover the rich scientific complexity behind every scan.

Key Features:

· Presents a complete account of physical and mathematical principles used in MRI, including rigorous derivations of the key steps in signal generation and image formation.

· Provides expanded and up-to-date coverage of modern MRI technologies, including advanced pulse-sequence design, hyperpolarisation, functional and cardiac MRI, deep-learning-based reconstruction, and contemporary safety considerations.

· Bridges theory, technology, and clinical practice, making the book suitable as a core graduate-level text and as a reference for researchers and practicing clinical MRI physicists.