Keith C Brown

Essential Mathematics for NMR and MRI Spectroscopists (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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 and MRI. It leaves out very few steps, which distinguishes it from other books in the field.

The author is an NMR laboratory manager and is sympathetic to the frustrations of trying to understand where some of the fundamental equations come from hence his desire to either explicitly derive all equations for the reader or direct them to derivations. 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.

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Produktdetails

• Verlag: RSC
• Seitenzahl: 867
• Erscheinungstermin: 28. August 2020
• Englisch
• ISBN-13: 9781839162961
• Artikelnr.: 60044200

Inhaltsangabe

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
Appendices