Site-Wide Bibliography
Bibliography & References
Curated reading list across the CoursesHub catalogue — classical textbooks and landmark papers in mathematics, physics, machine learning, biology, biophysics, chemistry, Earth science, and the history of science. Most entries link to specific modules where the reference is developed in depth.
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Mathematics
Linear algebra, complex analysis, differential geometry, probability, group theory, functional analysis. The mathematical infrastructure underlying every course on the site.
Principles of Mathematical Analysis
Rudin, W. (1976). 3rd ed. McGraw-Hill.
"Baby Rudin" — the standard rigorous undergraduate analysis text.
Real and Complex Analysis
Rudin, W. (1987). 3rd ed. McGraw-Hill.
Measure theory and complex analysis at graduate level.
Linear Algebra Done Right
Axler, S. (2024). 4th ed. Springer.
Determinant-free presentation of linear algebra; emphasises operators on vector spaces.
Topics in Optimal Transportation
Villani, C. (2003). AMS Graduate Studies.
Foundational text on optimal transport.
Optimal Transport: Old and New
Villani, C. (2009). Springer Grundlehren.
The 1000-page reference; synthetic Ricci curvature programme.
Probability: Theory and Examples
Durrett, R. (2019). 5th ed. Cambridge.
Standard graduate probability text.
Algebraic Topology
Hatcher, A. (2002). Cambridge University Press.
Free PDF: pi.math.cornell.edu/~hatcher.
Differential Geometry of Curves and Surfaces
do Carmo, M. P. (1976). Prentice-Hall.
Classical introduction to differential geometry.
Foundations of Differentiable Manifolds and Lie Groups
Warner, F. W. (1983). Springer GTM 94.
Modern manifold theory and Lie groups.
Classical & Continuum Physics
Classical mechanics, electrodynamics, fluid mechanics, statistical mechanics — the analytical traditions of Lagrange through Landau.
Mechanics (Vol. 1, Course of Theoretical Physics)
Landau, L. D. & Lifshitz, E. M. (1976). 3rd ed. Butterworth-Heinemann.
The Russian school's analytical mechanics canon.
Classical Mechanics
Goldstein, H., Poole, C., & Safko, J. (2002). 3rd ed. Addison-Wesley.
The graduate-mechanics standard.
Mathematical Methods of Classical Mechanics
Arnold, V. I. (1989). 2nd ed. Springer GTM 60.
Geometric / symplectic perspective.
Classical Electrodynamics
Jackson, J. D. (1998). 3rd ed. Wiley.
"Jackson" — the graduate E&M text.
An Introduction to Fluid Dynamics
Batchelor, G. K. (1967). Cambridge.
Classical fluid dynamics reference.
Statistical Mechanics
Pathria, R. K. & Beale, P. D. (2011). 3rd ed. Academic Press.
Equilibrium and non-equilibrium stat mech.
Statistical Physics (Vol. 5)
Landau, L. D. & Lifshitz, E. M. (1980). 3rd ed. Butterworth-Heinemann.
Companion volume; Russian-school stat mech.
Quantum, Field & High-Energy Physics
Quantum mechanics, quantum field theory, particle physics, condensed matter — the Standard Model and beyond.
Modern Quantum Mechanics
Sakurai, J. J. & Napolitano, J. (2020). 3rd ed. Cambridge.
Operator-first treatment of quantum mechanics.
Principles of Quantum Mechanics
Shankar, R. (1994). 2nd ed. Plenum Press.
Comprehensive undergraduate-to-graduate text.
An Introduction to Quantum Field Theory
Peskin, M. E. & Schroeder, D. V. (1995). Westview.
The graduate QFT standard.
Quantum Field Theory and the Standard Model
Schwartz, M. D. (2014). Cambridge.
Modern alternative to Peskin.
Quantum Theory of Fields (3 vols.)
Weinberg, S. (1995–2000). Cambridge.
Authoritative QFT reference.
Modern Particle Physics
Thomson, M. (2013). Cambridge.
Up-to-date undergraduate particle physics.
Condensed Matter Field Theory
Altland, A. & Simons, B. (2010). 2nd ed. Cambridge.
Field-theoretic CM treatment.
General Relativity, Cosmology & Black Holes
From Einstein's 1915 field equations to gravitational-wave astronomy and the cosmological constant.
Gravitation
Misner, C. W., Thorne, K. S., & Wheeler, J. A. (1973). W. H. Freeman.
"MTW" — the encyclopaedic GR text.
The Large Scale Structure of Space-Time
Hawking, S. W. & Ellis, G. F. R. (1973). Cambridge.
Causal-structure foundations and singularity theorems.
General Relativity
Wald, R. M. (1984). University of Chicago Press.
Modern, mathematically rigorous treatment.
Spacetime and Geometry
Carroll, S. M. (2004). Addison-Wesley.
Geometric, accessible introduction.
Gravitation and Cosmology
Weinberg, S. (1972). Wiley.
Field-theoretic perspective on GR.
The Early Universe
Kolb, E. W. & Turner, M. S. (1990). Westview.
Classic cosmology + particle astrophysics.
Modern Cosmology
Dodelson, S. & Schmidt, F. (2020). 2nd ed. Academic Press.
Updated for Planck and LSS.
The Mathematical Theory of Black Holes
Chandrasekhar, S. (1983). Oxford.
Definitive mathematical treatment.
Foundation of GR (1915)
Einstein, A. "Die Feldgleichungen der Gravitation." Sitzungsber. Preuss. Akad. Wiss., 844–847.
The original field equations.
Hawking radiation (1974)
Hawking, S. W. "Black hole explosions?" Nature 248, 30–31.
Quantum thermodynamics of black holes.
Cosmic inflation (1981)
Guth, A. H. "Inflationary universe…" Phys. Rev. D 23, 347.
Inflationary paradigm.
AdS/CFT (1998)
Maldacena, J. "The Large N limit…" Adv. Theor. Math. Phys. 2, 231–252.
Most-cited paper in HEP. Holography.
Accelerating universe (1998)
Riess, A. G. et al. Astron. J. 116, 1009.
Type Ia supernovae → dark energy. Nobel 2011.
GW150914 (2016)
Abbott, B. P. et al. (LIGO/Virgo). Phys. Rev. Lett. 116, 061102.
First direct GW detection. Nobel 2017.
EHT M87* image (2019)
EHT Collaboration. Astrophys. J. Lett. 875.
First image of a black hole shadow.
Machine Learning & AI
From the PRML era to modern deep-learning, transformers, diffusion models and the foundation-model frontier.
Pattern Recognition and Machine Learning
Bishop, C. M. (2006). Springer.
"PRML" — the Bayesian-flavoured ML textbook.
The Elements of Statistical Learning
Hastie, T., Tibshirani, R., & Friedman, J. (2009). 2nd ed. Springer.
Statistical-learning canon.
Deep Learning
Goodfellow, I., Bengio, Y., & Courville, A. (2016). MIT Press.
Free at deeplearningbook.org.
Probabilistic Machine Learning
Murphy, K. P. (2022, 2023). MIT Press. (2 vols.)
Modern Bayesian ML in two volumes.
Mathematics for Machine Learning
Deisenroth, M. P., Faisal, A. A., & Ong, C. S. (2020). Cambridge.
Free at mml-book.com.
Reinforcement Learning: An Introduction
Sutton, R. S. & Barto, A. G. (2018). 2nd ed. MIT Press.
The RL standard.
Attention Is All You Need (2017)
Vaswani, A. et al. NeurIPS.
The Transformer paper.
Highly accurate protein structure prediction (2021)
Jumper, J. et al. (DeepMind). Nature 596, 583–589.
AlphaFold 2.
OpenAI Evolution Strategies (2017)
Salimans, T. et al. arXiv:1703.03864.
ES at deep-RL scale on Atari.
NEAT (2002)
Stanley, K. O. & Miikkulainen, R. Evol. Comput. 10(2).
NeuroEvolution of Augmenting Topologies.
Model-Agnostic Meta-Learning (2017)
Finn, C., Abbeel, P., & Levine, S. ICML.
MAML.
NequIP (2022)
Batzner, S. et al. Nat. Commun. 13, 2453.
E(3)-equivariant neural-network potentials.
FunSearch (2024)
Romera-Paredes, B. et al. Nature 625, 468–475.
LLM + evolutionary search recovers new mathematics.
No-Free-Lunch theorems (1997)
Wolpert, D. H. & Macready, W. G. IEEE Trans. Evol. Comput.
Foundational result on universal optimisation.
Biology, Genomics & Evolution
Cell biology, molecular biology, evolution, comparative genomics — the molecular toolkit of every animal-biophysics module on the site.
Molecular Biology of the Cell
Alberts, B. et al. (2022). 7th ed. Garland Science.
"Alberts" — the cell-biology bible.
Lehninger Principles of Biochemistry
Nelson, D. L. & Cox, M. M. (2021). 8th ed. W. H. Freeman.
Standard biochemistry text.
Molecular Biology of the Gene
Watson, J. D. et al. (2014). 7th ed. Pearson.
Watson lineage; molecular biology fundamentals.
The Selfish Gene
Dawkins, R. (1976; 40th anniv. ed. 2016). Oxford.
Gene-centred view of evolution.
Why Evolution Is True
Coyne, J. A. (2009). Viking.
Modern overview of evolutionary evidence.
The Vital Question
Lane, N. (2015). W. W. Norton.
Bioenergetics and the origin of complex life.
Schmidt-Nielsen, Animal Physiology
Schmidt-Nielsen, K. (1997). 5th ed. Cambridge.
Comparative animal physiology classic.
Mirceta et al. (2013) — myoglobin surface charge
Science 340, 1234192.
Convergent surface-charge evolution in deep-diving mammals.
Hamers-Casterman et al. (1993) — camel HCAbs
Nature 363, 446–448.
Discovery of heavy-chain-only antibodies.
Abegglen et al. (2015) — TP53 in elephants
JAMA 314, 1850–1860.
20 TP53 retrogenes and Peto's paradox.
Biophysics & Molecular Simulation
Protein folding, molecular dynamics, single-molecule biophysics, structural biology, and the bridge to ML potentials.
Physical Biology of the Cell
Phillips, R., Kondev, J., Theriot, J., & Garcia, H. (2013). 2nd ed. Garland.
Quantitative cell biology.
Biological Physics
Nelson, P. (2014). Updated 1st ed. W. H. Freeman.
Statistical-mechanics-flavoured biophysics.
Molecular Driving Forces
Dill, K. A. & Bromberg, S. (2010). 2nd ed. Garland.
Stat-mech approach to biology and chemistry.
Computer Simulation of Liquids
Allen, M. P. & Tildesley, D. J. (2017). 2nd ed. Oxford.
Molecular dynamics standard text.
Statistical Mechanics: Theory and Molecular Simulation
Tuckerman, M. E. (2010). Oxford.
MD with full theoretical context.
Nakajima (1958) / Zwanzig (1960) — projection operator
Prog. Theor. Phys. 20, 948 / J. Chem. Phys. 33, 1338.
Foundations of memory-kernel theory.
Craig & Manolopoulos (2004) — RPMD
J. Chem. Phys. 121, 3368.
Ring polymer molecular dynamics formalism.
Chemistry
Physical, organic, and inorganic chemistry; spectroscopy and the molecular ideas linking quantum mechanics to materials.
Atkins' Physical Chemistry
Atkins, P. & de Paula, J. (2018). 11th ed. Oxford.
Physical chemistry standard.
Organic Chemistry
Clayden, J., Greeves, N., & Warren, S. (2012). 2nd ed. Oxford.
Mechanistic organic chemistry.
Inorganic Chemistry
Housecroft, C. E. & Sharpe, A. G. (2018). 5th ed. Pearson.
Modern inorganic text.
Modern Quantum Chemistry
Szabo, A. & Ostlund, N. S. (1996). Dover.
Hartree-Fock and post-HF methods.
Earth & Climate Science
Plate tectonics, atmospheric science, oceanography, climatology — the physics of Earth as a coupled system.
Geodynamics
Turcotte, D. L. & Schubert, G. (2014). 3rd ed. Cambridge.
Quantitative geodynamics; tectonics standard.
Atmospheric Science: An Introductory Survey
Wallace, J. M. & Hobbs, P. V. (2006). 2nd ed. Academic Press.
Atmospheric-science textbook.
An Introduction to Dynamic Meteorology
Holton, J. R. & Hakim, G. J. (2012). 5th ed. Academic Press.
Atmospheric dynamics.
Descriptive Physical Oceanography
Talley, L. D. et al. (2011). 6th ed. Academic Press.
Modern oceanography reference.
IPCC AR6 Working Group I Report
IPCC (2021). The Physical Science Basis. Cambridge University Press.
Latest comprehensive climate-science assessment.
History & Philosophy of Science
How scientific ideas were made — from Newton through Einstein, the structure of scientific revolutions, and the philosophical foundations.
The Structure of Scientific Revolutions
Kuhn, T. S. (1962/2012). 4th ed. University of Chicago Press.
Paradigm shifts and normal science.
The Logic of Scientific Discovery
Popper, K. R. (1959). Hutchinson.
Falsifiability as the demarcation criterion.
A Brief History of Time
Hawking, S. W. (1988). Bantam Books.
Popular cosmology classic.
The Road to Reality
Penrose, R. (2004). Knopf.
Comprehensive overview of mathematical physics.
Subtle is the Lord
Pais, A. (1982). Oxford.
Definitive Einstein scientific biography.
Quantum Generations
Kragh, H. (1999). Princeton.
History of 20th-century physics.
Birth of a Theorem
Villani, C. (2012; 2015 trans.). Bodley Head / Faber & Faber.
Memoir of the Mouhot–Villani Landau-damping proof.
Open-Access Resources
Preprint servers, open-access journals, video-lecture archives, and free textbooks linked across the catalogue.
arXiv.org
Physics, mathematics, computer science, biology preprint server.
gr-qc, hep-th, astro-ph.CO, math.*, cs.LG, q-bio.* — relevant tags.
NASA ADS
Astrophysics Data System; astronomy and astrophysics literature.
Living Reviews in Relativity
Open-access review journal in relativity.
PLOS ONE / PLOS Biology / PLOS Comput. Biol.
Open-access journals across life sciences.
Perimeter Institute Recorded Seminars
Video archive of theoretical-physics lectures.
ICTP Lectures
Abdus Salam Centre — Dirac Medal recordings + advanced graduate lectures.
Citation & Coverage Notes
- Most course modules carry their own “Cite this material” widget that generates APA / MLA / BibTeX citations directly. Use that for module-level attribution; this bibliography lists the upstream textbooks and primary literature.
- When in doubt about a primary source for a topic, search/coursesfor the relevant module — references are listed in the module text.
- Suggestions, errors, missing references? Use the/contactpage or open an issue on the project repository.