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Mathematics for Physics

23 Bibliography

  1. Aleksandrov, A. D., Kolmogorov, A. N., & Lavrent’ev, M. A. Mathematics: Its Content, Methods and Meaning. Dover, 1999
  2. Arfken, G. B., Weber, H. J., & Harris, F. E. Mathematical Methods for Physicists, 7th ed. Elsevier / Academic Press, 2013
  3. Axler, S. Linear Algebra Done Right, 4th ed. Springer, 2024
  4. Bachman, D. A Geometric Approach to Differential Forms. Birkhäuser, 2012
  5. Boas, M. L. Mathematical Methods in the Physical Sciences. 3rd ed. Wiley, 2005
  6. Cahill, K. Physical Mathematics. Cambridge University Press, 2019
  7. Carroll, S. Spacetime and Geometry: An Introduction to General Relativity. Cambridge University Press, 2021
  8. Chau, K.-T. Applications of Differential Equations in Engineering and Mechanics. CRC Press, 2019
  9. Cheng, T.-P., & Li, L.-F. Gauge Theory of Elementary Particle Physics
  10. Cohen, M. X. Linear Algebra: Theory, Intuition, Code. Sincxpress BV, 2021
  11. Courant, R., and Hilbert, D. Methods of Mathematical Physics, Vol. 1. Wiley-VCH, 1991
  12. Das, T. K. Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics. Springer, 2023
  13. do Carmo, M. P. Differential Geometry of Curves and Surfaces
  14. Dummit, D. S., & Foote, R. M. Abstract Algebra. Wiley, 2004
  15. Emam, M. H. Covariant Physics: From Classical Mechanics to General Relativity and Beyond. Oxford University Press, 2021
  16. Feynman, R. P., Leighton, R. B., & Sands, M. The Feynman Lectures on Physics, Vols. I–II
  17. Frankel, T. The Geometry of Physics: An Introduction. Cambridge University Press, 2012
  18. Gamelin, T. W., & Greene, R. E. Introduction to Topology, 2nd ed. Dover, 1999
  19. Gowers, T., Barrow-Green, J., & Leader, I. (eds.). The Princeton Companion to Mathematics. Princeton University Press, 2008
  20. Griffel, D. H. Applied Functional Analysis. Ellis Horwood, 1981/1985
  21. Griffiths, D. J. Introduction to Electrodynamics. Cambridge University Press, 2024
  22. Griffiths, D. J. Introduction to Elementary Particles
  23. Hall, B. C. Quantum Theory for Mathematicians. Springer, 2013
  24. Hassani, S. Mathematical Physics: A Modern Introduction to Its Foundations. Springer, 2013
  25. Howell, R. W., & Mathews, J. H. Complex Analysis. https://complexanalysis.org/howell-complex-analysis-web.pdf
  26. Hubbard, J. H., & Hubbard, B. B. Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach. Matrix Editions, 2015
  27. Jaffe, R. L., & Taylor, W. The Physics of Energy. Cambridge University Press, 2018
  28. Kittel, C. Introduction to Solid State Physics. Wiley
  29. Knight, R. D. Physics for Scientists and Engineers: A Strategic Approach with Modern Physics. Pearson, 2023
  30. Kosinski, A. A. Differential Manifolds. 2008
  31. Kreyszig, E. Introductory Functional Analysis with Applications. Wiley, 1978
  32. Lee, J. M. Introduction to Smooth Manifolds. Springer, 2013
  33. Lee, J. M. Introduction to Topological Manifolds. Springer, 2011
  34. Logan, J. D. A First Course in Differential Equations. Springer, 2015
  35. Lovett, S. Differential Geometry of Manifolds
  36. McWeeny, R., & Jones, H. Symmetry: An Introduction to Group Theory and Its Applications. 1963
  37. MIT OpenCourseWare. 8.223 Classical Mechanics II, Lecture 15: Introduction to Hamiltonian Mechanics (IAP 2017). PDF
  38. Nakahara, M. Geometry, Topology and Physics. Institute of Physics Publishing, 2003
  39. Nash, C., & Sen, S. Topology and Geometry for Physicists. Academic Press, 1983
  40. Needham, T. Visual Differential Geometry and Forms. Princeton University Press, 2021
  41. OpenStax. University Physics Volume 3, §5.9 Relativistic Energy
  42. Park, D. Introduction to the Quantum Theory. Dover, 2005
  43. Pietsch, A. History of Banach Spaces and Linear Operators. Birkhäuser, 2007
  44. Pinter, C. C. A Book of Abstract Algebra. Dover
  45. Reed & Simon, Methods of Modern Mathematical Physics I: Functional Analysis, Academic Press, 1980
  46. Riley, K. F., Hobson, M. P., and Bence, S. J. Mathematical Methods for Physics and Engineering. Cambridge University Press, 2006
  47. Rudin, W. Real and Complex Analysis. McGraw-Hill, 1987
  48. Sakurai, J. J., & Napolitano, J. Modern Quantum Mechanics. Cambridge University Press, 2021
  49. Schwartz, M. Principles of Electrodynamics. Dover, 1972
  50. Schwichtenberg, J. Physics from Symmetry. Springer, 2018
  51. Shankar, R. Fundamentals of Physics I. Yale University Press, 2019
  52. Shankar, R. Fundamentals of Physics II. Yale University Press, 2020
  53. Shifrin, T., & Adams, M. Linear Algebra: A Geometric Approach. W. H. Freeman, 2010
  54. Simmons, G. F. Differential Equations with Applications and Historical Notes. Chapman and Hall/CRC, 2017
  55. Simon, S. H. The Oxford Solid State Basics. Oxford University Press, 2013
  56. Soare, M. V., Teodorescu, P. P., & Toma, I. Ordinary Differential Equations with Applications to Mechanics. Springer, 2007
  57. Spivak, M. Calculus on Manifolds
  58. Stewart, J., Clegg, D., & Watson, S. Calculus: Early Transcendentals. Cengage Learning, 2020
  59. Susskind, L., & Cabannes, A. General Relativity: The Theoretical Minimum. Penguin Books, 2023
  60. Susskind, L., & Friedman, A. Quantum Mechanics: The Theoretical Minimum. Basic Books, 2014
  61. Susskind, L., & Friedman, A. Special Relativity and Classical Field Theory: The Theoretical Minimum. Basic Books, 2017
  62. Szekeres, P. A Course in Modern Mathematical Physics. Cambridge University Press, 2004
  63. Tu, L. W. An Introduction to Manifolds. Springer
  64. Waters, T. The Four Corners of Mathematics. A K Peters / CRC Press, 2024