Essential Mathematics for NMR and MRI Spectroscopists [Hardcover]

Beginning with a review of the important areas of mathematics, this book then covers many of the underlying theoretical and practical aspects of NMR and MRI spectroscopy from a maths point of view. Competence in algebra and introductory calculus is needed but all other maths concepts are covered. It will bridge a gap between high level and introductory titles used in NMR or MRI spectroscopy. Uniquely, it takes a very careful and pedagogical approach to the mathematics behind NMR. It leaves out very few steps, which distinguishes it from other books in the field. This is an essential text aimed at graduate students who are beginning their careers in NMR or MRI spectroscopy and laboratory managers if they need an understanding of the theoretical foundations of the technique.Excellent for many aspects of NMR spectroscopy, including the treatment of product operator formalism and density matrix.Complex Numbers; Matrices; Vectors; Vector Calculus; Tensor Analysis; Probability and Statistics; Waves; Fourier Transforms; Classical Mechanics; Special Relativity; Electric and Magnetic Fields; The Magnetic Moment and the Bloch Equations; Quantum Mechanics; The Hamiltonians of NMR; The Quantum Mechanics of Angular Momentum; NMR Rotation Operators; Density Operators; The Product Operator Formalism; Relaxation and the NOE; Data Processing; Coherence Transfer; Electronics; AppendicesBeginning with a review of the important areas of mathematics, this book then covers many of the underlying theoretical and practical aspects of NMR and MRI spectroscopy from a maths point of view. This is an essential text aimed at graduate students and laboratory managers.The tallest hurdle faced by practitioners of NMR and MRI, is an understanding of the high level mathematics needed to describe the techniques.There are many papers and books on magnetic resonance which present either over-simplistic explanations, in order to avoid the detailed mathematics, or provide very detailed descriptions withol³&