Essential Mathematics for NMR and MRI Spectroscopists
eBook - ePub

Essential Mathematics for NMR and MRI Spectroscopists

  1. 708 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Essential Mathematics for NMR and MRI Spectroscopists

About this book

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.

Information

Year
2025
Print ISBN
9781837678778
eBook ISBN
9781837678792

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Preface to the 2nd Edition
  5. Preface to the 1st Edition
  6. Contents
  7. 1 Complex Numbers
  8. 2 Matrices
  9. 3 Vectors
  10. 4 Vector Calculus
  11. 5 Introductory Tensor Analysis
  12. 6 Probability and Statistics
  13. 7 Waves
  14. 8 The Fourier Transform
  15. 9 Introductory Classical Mechanics
  16. 10 Special Relativity
  17. 11 Electric and Magnetic Fields
  18. 12 The Magnetic Moment and the Bloch Equations
  19. 13 Introductory Quantum Mechanics
  20. 14 The Hamiltonians of NMR
  21. 15 The Quantum Mechanics of Angular Momentum
  22. 16 NMR Rotation Operators
  23. 17 Density Operators and Matrices
  24. 18 The Product Operator Formalism
  25. 19 Coherence Transfer
  26. 20 Relaxation and the NOE
  27. 21 Data Processing
  28. 22 Magnetic Resonance Imaging
  29. 23 Electronics
  30. 24 Addenda
  31. Appendix A Identities, Proofs and Miscellany
  32. Appendix B A Bruker to Varian Translation Table
  33. Subject Index

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Yes, you can access Essential Mathematics for NMR and MRI Spectroscopists by Keith C Brown in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques appliquées. We have over 1.5 million books available in our catalogue for you to explore.