Functional Magnetic Resonance Imaging 3e - Huettel, Song, & McCarthy (2014)
An excellent introduction to fMRI physics, the BOLD response, signal properties, and design and analysis.
For cognitive neuroscientists, I particularly recommend Chapters 8 through 12.
Handbook of Functional MRI Data - Poldrack, Mumford, & Nichols (2011)
This book provides an excellent, clearly written review of analysis methods in fMRI that goes into greater depth than other resources.
Highly recommended.
Short Introduction to the General Linear Model for Neuroimaging -- Jenkinson et al. (2018)
Short and sweet, clear intro to the GLM. Amazon Kindle edition C$1.39. What a bargain!
Introduction to Human Neuroimaging - Op de Beeck & Nakatani (2019)
This excellent book provides a comprehensive, modern review of human neuroimaging. It includes not just standard functional MRI but also structural neuroimaging, multivoxel pattern analysis (MVPA), electrophysiology (EEG/MEG), neurostimulation, and multimodal imaging.
Introduction to Neuroimaging Analysis - Jenkinson & Chappell (2017)
fMRI - Bandettini (2020)
Great primer on fMRI, especially physics and BOLD. Includes an interesting chapter on “Twenty-six controversies and challenges. Very affordable.
Short Introduction to MRI Physics for Neuroimaging -- Chappell, Okell & Jenkinson (2018)
Introduction to Resting State fMRI Functional Connectivity - Bijsterbosch, Smith & Beckmann
Essentials of Functional MRI - Stroman (2016)
Networks of the Brain - Sporns (2010)
This valuable book reviews both the methods for studying connectivity (anatomical, functional and effective connectivity) and understanding connectivity in terms of small world networks.
The techniques are described in clear terms accessible to even the less mathematically inclined readers.
The book also discusses some of the interesting results and interpretations that have arisen from these approaches.
Functional MRI: Basic Principles and Clinical Applications - Faro & Mohammed (2006)
This book contains a range of chapters on the BOLD response and applications.
Handbook of Functional Neuroimaging of Cognition 2e - Cabeza & Kingstone (2006)
The second edition provides chapters on history, physics and methods; overviews of fMRI results in different cognitive domains (e.g., attention, memory, language), and developmental, social and clinical applications.
Functional MRI: An Introduction to Methods - Jezzard et al. (2003)
This book was excellent when it first came out, though it's now getting rather dated. [You know you're a neuroimager if 2003 seems out of date.]
Short Introduction to Bayesian Inference for Neuroimaging -- Chappell, Woolrich & Jenkinson (2019)
Statistical Analysis of fMRI Data - Ashby
Beware sigmaphobics — Lots of equations!