
Essential Mathematics for NMR and MRI Spectroscopists
Keith C. Brown(Author)
Royal Society of Chemistry (Publisher)
2nd Edition
Published on 12. September 2025
Book
Hardback
708 pages
978-1-83767-877-8 (ISBN)
Description
Are you looking for a text that explains the mathematical derivations for NMR and MRI theory? Struggling to comprehend the fundamental equations used in this vast topic? This book has been designed to help you.
Thoroughly reviewed and revised, this new edition begins by assessing the important areas of mathematics and 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 bridges a gap between high level and introductory titles used in NMR or MRI spectroscopy taking a very careful pedagogical approach to the mathematics behind NMR and MRI. Coverage is comprehensive - it leaves out very few steps - which distinguishes it from other books in the field.
The author, now retired, was 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 essential text is 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.
Thoroughly reviewed and revised, this new edition begins by assessing the important areas of mathematics and 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 bridges a gap between high level and introductory titles used in NMR or MRI spectroscopy taking a very careful pedagogical approach to the mathematics behind NMR and MRI. Coverage is comprehensive - it leaves out very few steps - which distinguishes it from other books in the field.
The author, now retired, was 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 essential text is 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.
More details
Edition
2nd edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Professional and scholarly
Product notice
Unsewn / adhesive bound
Dimensions
Height: 249 mm
Width: 196 mm
Thickness: 44 mm
Weight
1564 gr
ISBN-13
978-1-83767-877-8 (9781837678778)
DOI
10.1039/9781837678785
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
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Additional editions

Keith C. Brown
Essential Mathematics for NMR and MRI Spectroscopists
E-Book
09/2025
2nd Edition
Royal Society of Chemistry
€136.99
Available for download
Previous edition

Keith C. Brown
Essential Mathematics for NMR and MRI Spectroscopists
Book
12/2016
Royal Society of Chemistry
€112.50
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Content
Complex Numbers
Matrices
Vectors
Vector Calculus
Introductory Tensor Analysis
Probability and Statistics
Waves
Fourier Transforms
Introductory Classical Mechanics
Electric and Magnetic Fields
The Magnetic Moment and the Bloch Equations
Introductory Quantum Mechanics
The Hamiltonians of NMR
The Quantum Mechanics of Angular Momentum
NMR Rotation Operators
Density Operators and Matrices
The Product Operator Formalism
Coherence Transfer
Relaxation and the NOE
Dynamic NMR Spectroscopy
Data Processing
Magnetic Resonance Imaging
Electronics
Matrices
Vectors
Vector Calculus
Introductory Tensor Analysis
Probability and Statistics
Waves
Fourier Transforms
Introductory Classical Mechanics
Electric and Magnetic Fields
The Magnetic Moment and the Bloch Equations
Introductory Quantum Mechanics
The Hamiltonians of NMR
The Quantum Mechanics of Angular Momentum
NMR Rotation Operators
Density Operators and Matrices
The Product Operator Formalism
Coherence Transfer
Relaxation and the NOE
Dynamic NMR Spectroscopy
Data Processing
Magnetic Resonance Imaging
Electronics