Electronic Handbooks, Textbooks, and Lecture Notes

This material is not peer-reviewed, but each manuscript is published here only after years of refinement. The year of last modification is indicated in parantheses. For peer-reviewed publications see here. See also educational material referenced here (in particular questions and taskbooks supplementing each Lecture Notes). For unpolished manuscripts only the table of contents is given. All manuscripts have supplementary Maple-file if appropriate.

Handbooks

• Units and Constants (2019), 6pp
• Matrices (2023), 13pp
• Basic Analysis (2011), 12pp
• Special Functions (2023), 25pp
• Geometry (2017), 9pp
• Random walk on a lattice: Basic formulas (2024), 6pp

Lecture Notes (in Ukrainian)

• Ordinary Differential Equations (2022), 17pp
• Quantum Mechanics (2019), 56pp
• Statistical Physics (equilibrium, noninteracting) (2022), 26pp
• Symmetry in Physics, Point Groups, Space Groups (2019), 34pp in three parts

Textbooks

• A Yurachkivsky, A Zhugayevych, Mathematical physics in problems and solutions (2020), 158pp, in ukrainian – pdf, add
  Юрачківський А. П., Жугаєвич А. Я., Математична фізика в прикладах і задачах: Навчальний посiбник для студентiв природничих факультетiв (ВПЦ Київський університет, 2005), 158 с., ISBN 966-594-965-1 – виправлення до надрукованої версії

In preparation: TOCs for unpolished handbooks and lecture notes

• Fundamental models of quantum chemistry
• Holstein model for organic semiconductors
• Hubbard-Peierls model in 1D
• Markov chains for physicists (in Ukrainian), Lattice Green's functions and other topics in mathematics of disordered systems
• Also unconsolidated notes on various topics in lattice gas and Ising model: theory, methods, solutions, kinetics etc.
• Also tiny notes on Probability Theory, Computational Mathematics, Functional Analysis etc. as a part of Methods of Theoretical Physics