Heat transfer is one of the few engineering subjects where reading out of order reliably fails. Thermodynamics tells you how much energy moves and where it can go; heat transfer tells you how fast. Open a heat transfer text before you are comfortable with the first law, entropy and property tables, and the opening chapters will feel like arbitrary bookkeeping.
The second ordering rule is internal to the subject. Conduction is a boundary value problem with a clean governing equation, convection couples that equation to a flow field you also have to solve, and radiation abandons the differential equation entirely for a geometry and wavelength problem. Learning them in that order means each new mode adds one difficulty rather than three. Most courses do it this way, and the books below assume it.
Before the equations
Einstein's Fridge by Paul Sen is the narrative history of thermodynamics — Carnot, Clausius, Boltzmann, Gibbs, and the refrigeration and information-theory afterlives. It teaches no problem-solving at all, and it makes entropy feel like a discovery rather than a definition, which is worth an evening before the textbooks.
Thermodynamics, An Engineering Approach by Yunus A. Çengel, written with Michael Boles, is the standard undergraduate thermodynamics text and the actual prerequisite. If you already have it from a course, you can move straight on.
Pick one main textbook
Two books own this space and you should read one, not both. Heat and Mass Transfer by Yunus A. Çengel is the gentler of the two: more physical explanation, more worked examples, less derivation, and it shares notation with his thermodynamics book. Fundamentals of heat and mass transfer by Frank P. Incropera, written with David DeWitt and others, is more rigorous, better on boundary layer theory, and the one most graduate programmes assume. Choose Incropera if you intend to go further; Çengel if you want the subject to stick first time.
A heat transfer textbook by John H. Lienhard is the third option and the one nobody mentions enough. It is thorough, opinionated and unusually well written on the physics, and the authors have long made the current edition available as a free download from their department, which makes it easy to sample before committing.
The three modes in depth
Conduction of heat in solids by H. S. Carslaw, written with J. C. Jaeger and first published in 1959, is the analytical reference for conduction. It is a compendium of solutions rather than a course text, and it is still the book people reach for when they need a closed-form answer to a transient problem.
Convective heat and mass transfer by William M. Kays, with Michael Crawford and Bernhard Weigand, is the standard graduate convection text and stays close to boundary layer theory and turbulence modelling. Convection Heat Transfer by Adrian Bejan is the alternative, organised around scaling arguments and Bejan's own constructal reasoning, and it teaches a different way of thinking about the same problems. Read whichever suits you; reading both is a real duplication.
Radiative Heat Transfer by Michael F. Modest is the definitive treatment of the third mode — view factors, spectral properties, participating media — and radiation is the mode most engineers are weakest on, so do not skip it because the first two chapters felt familiar.
The applied end
Heat exchangers by S. Kakaç, written with Hongtan Liu and Anchasa Pramuanjaroenkij, moves from theory to selection, rating and design of the equipment that does the work in industry.
Transport phenomena by R. Byron Bird, with Warren Stewart and Edwin Lightfoot, is the destination. It treats momentum, heat and mass transfer as one subject with a shared mathematical structure, and once you have done heat transfer alone, seeing the analogy laid out is the point at which the field stops being three topics and becomes one.
If you came here for thermal management rather than the theory, batteries and electric vehicles covers the applied side.
Follow the full ordered path here: The Best Heat Transfer Books to Read First.