| Faddeeva, V.N. | Computational Methods of Linear Algebra | 65 Numerical analysis |
| Faddeeva, V.N. | Computational Methods of Linear Algebra | 15 Linear and multilinear algebra; matrix theory |
| Fajtlowicz, Siemion | Graphs and Discovery; Proceedings of DIMACS Working Group Meeting and Workshop on Computer-generated Conjectures from Graph Theoretic and Chemical Data-bases, 2001 | 05 Combinatorics |
| Fajtlowicz, Siemion | Lattice Theory Conference 1973 | 06 Order, lattices, ordered algebraic structures |
| Fallat, Shaun | Totally Nonnegative Matrices | 15 Linear and multilinear algebra; matrix theory |
| Faris, William G. | Self-Adjoint Operators | 47 Operator theory |
| Farmer, David | Groups and Symmetry: A Guide to Discovering Mathematics | 00 General and overarching topics; collections |
| Fattorini, H.O. | The Cauchy Problem | 35 Partial differential equations |
| Favini, Angelo | Degenerate Differential Equations in Banach Spaces | 35 Partial differential equations |
| Fedorov, Roman | Moscow Mathematical Olympiads, 2000-2005 | 00 General and overarching topics; collections |
| Feferman, Anita | Alfred Tarski: Life and Logic | 01 History and biography |
| Fefferman, Solomon | Kurt Gödel Collected Works | 01 History and biography |
| Feinstein, Ameil | Foundations of Information Theory | 94 Information and communication |
| Feit, Walter | Characters of Finite Groups | 20 Group theory and generalizations |
| Feller, William | Probability Theory and its Application | 60 Probability theory and stochastic processes |
| Feller, William | An Introduction to Probability Theory and its Applications | 60 Probability theory and stochastic processes |
| Fenchel, Werner | Elementary Geometry in Hyperbolic Space | 51 Geometry |
| Feynman, Richard | The Feynman Lectures on Physics | 69 Mathematical physics and engineering |
| Fichera, Gaetano | Linear elliptic differential systems and eigenvalue problems | 35 Partial differential equations |
| Fierz, Markus | Girolamo Cardano: Physician, Natural Philosopher, Mathematician, Astrologer, and Interpreter of Dreams | 01 History and biography |
| Fillmore, Peter | Notes on Operator Theory | 47 Operator theory |
| Filonenko-Borodich, M. | Theory of Elasticity | 73 (73) Mechanics of deformable solids |
| Finch, Steven | Mathematical Constants | 00 General and overarching topics; collections |
| Fink, A | Almost Periodic Differential Equations | 34 Ordinary differential equations |
| Fink, A.M. | Delay and Differential Equations | 55 Algebraic topology |
| Fisher, Stephen D. | Complex Variables | 30 Functions of a complex variable |
| Fixx, James F. | Games for the Superintelligent | 93 Systems theory; control |
| Flaherty, Richard | Positive Solutions of Operator Equations | 46 Functional analysis |
| Flake, Gary | The Computational Beauty of Nature | 00 General and overarching topics; collections |
| Flanders, Harley | Differential Forms | 53 Differential geometry |
| Fleischner, Herbert | Eulerian Graphs and Related Topics (Part 1, Volume 2) | 05 Combinatorics |
| Fleming, Wendell | Deterministic and Stochastic Optimal Control | 49 Calculus of variations and optimal control; optimization |
| Fletcher, Roger | Practical Methods of Optimization, Volume 1: Unconstrained Optimization | 90 Operations research, mathematical programming |
| Folland, G.B. | Lectures on Partial Differential Equations | 35 Partial differential equations |
| Folland, Gerald | Fourier Analysis and Its Applications | 42 Harmonic analysis |
| Folland, Gerald B. | Introduction to Partial Differential Equations | 35 Partial differential equations |
| Ford, Lester | Differential Equations | 34 Ordinary differential equations |
| Ford, Lester | Automorphic Functions | 30 Functions of a complex variable |
| Ford, Wayne T. | Elements of Simulation of Fluid Flow in Porous Media | 76 Fluid mechanics |
| Forsyth, A.R. | Calculus of Variations | 49 Calculus of variations and optimal control; optimization |
| Forsythe, George | Computer Methods for Mathematical Computations | 65 Numerical analysis |
| Fort JR., M.K. | Topology of 3-Manifolds and Related Topics | 54 General topology |
| Fox, Geoffrey | Notes on Topological Groups | 22 Topological groups, Lie groups |
| Fraenkel, Abraham | Extension of the Number-Concept | 00 General and overarching topics; collections |
| Franklin, Gene | Digital Control of Dynamic Systems | 49 Calculus of variations and optimal control; optimization |
| Franklin, Phillip | Functions of Complex Variables | 30 Functions of a complex variable |
| Frederickson, Greg | Hinged Dissections: Swinging and Twisting | 05 Combinatorics |
| Frederickson, Greg | Dissections: Plane and Fancy | 05 Combinatorics |
| Freese, Raplh | Commutator Theory for Congruence Modular Varieties | 08 General algebraic systems |
| Frege, Gottlob | Foundations of Arithmetic | 03 Mathematical logic and foundations |
| Freiman, G.A. | Foundations of a Structural Theory of Set Addition | 03 Mathematical logic and foundations |
| Frenkel, Edward | Love and Math: The Hidden Heart of Reality | 00 General and overarching topics; collections |
| Freyd, Peter | Abelian Categories | 18 Category theory; homological algebra |
| Friedberg, Solomon | Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom | 97 Mathematics education |
| Friedman, Avner | Partial Differential Equations | 35 Partial differential equations |
| Friedman, Bernard | Lectures on Applications-Oriented Mathematics | 69 Mathematical physics and engineering |
| Friedman, Avner | Tutorials in Mathematical Biosciences IV | 92 Biology |
| Friedman, Avner | Foundations of Modern Analysis | 28 Measure and integration |
| Friedman, Avner | Partial Differential Equations of Parabolic Type | 35 Partial differential equations |
| Friedrichs, K.O. | Spectral Theory of Operators in Hilbert Space | 47 Operator theory |
| Friedrichs, K.O. | Pseudo-Differential Operators | 35 Partial differential equations |
| Froberg, Carl-Erik | Numerical Analysis | 65 Numerical analysis |
| Fröberg, Carl-Erik | Introduction to Numerical Analysis | 65 Numerical analysis |
| Fuchs, Dmitry | Mathematical Omnibus: Thirty Lectures on Classical Mathematics | 00 General and overarching topics; collections |
| Fuchs, W.H.J. | The Theory Of Functions of One Complex Variable | 30 Functions of a complex variable |
| Fuchs, Laszlo | Infinite Abelian Groups | 20 Group theory and generalizations |
| Fuchs, B.A. | Functions of a Complex Variable and some of their applications | 30 Functions of a complex variable |
| Fuks, B | Introduction to the Theory of Analytic Functions of Several Complex Variables | 32 Several complex variables |
| Fulkerson, D.R. | Studies in Graph Theory Part II | 05 Combinatorics |
| Fulkerson, D.R. | Studies in Graph Theory Part I | 05 Combinatorics |
| Fuller, Byron | Mathematics of Classical and Quantum Mechanics | 81 Quantum theory |
| Fulton, William | Algebraic Curves | 14 Algebraic geometry |
| Følner, Erling | Harald Bohr: Collected Mathematical Works | 01 History and biography |