The Net Advance of Physics:
ALGEBRA

Mathematics: Algebra:

• Type: ABSTRACT:
  • Introduction to universal algebra and clones by S. Fujii [2020/04]

• General: ABSTRACT: Type: COMMUTATIVE:
  • Algèbre commutative: Méthodes constructives by Henri Lombardi and Claude Quitté [2016/11] 1115 pp.

• General: ABSTRACT: Type: LEAVITT PATH:
  • A Survey of Some of the Recent Developments in Leavitt Path Algebras by Kulumani M. Rangaswamy [2018/08]

• General: ABSTRACT: RACKS AND QUANDLES:
  • A Survey of Racks and Quandles: Some Recent Developments by Mohamed Elhamdadi [2019/10]

• General: ABSTRACT: RINGS:
  • Recent developments around partial actions by Mikhailo Dokuchaev [2018/01]
  • Finite Subgroups of Group Rings: A Survey by Leo Margolis and Ángel de Río [2018/09]
  • An Introduction to Mathieu Subspaces by Arno van den Essen [2019/07]

• General: ABSTRACT: SEMIGROUPS:
  • Automaton (Semi)groups: Basic Concepts by Jānis Buls et al. [2018/01]
  • Primer on inverse semigroups I by M. V. Lawson [2010]
  • Primer on inverse semigroups II by M. V. Lawson [2010]
• General: ABSTRACT: Type: W:
  • Introduction to finite W-algebras by D. V. Artamonov [2016/07]
  • Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups by Scott Chapman et al. [2019/02]

• General: LINEAR: Elementary:
  • An Introduction to Business Mathematics by Henk van Elst [2015/09] "These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management:" i.e. linear algebra, matrix algebra, and single-variable calculus.

• General: LINEAR:
  • Analytical Methods in Physics by Yi-Zen Chu [2015] Textbook, 232 pp.
  • Algebraic background for numerical methods, control theory and renormalization by Dominique Manchon [2015/01]
  • A First Course in Linear Algebra by Mohammed K. A. Kaabar [2018/07] 123 pp.
  • An Introduction to the Krylov Subspace Method by Shitao Fan [2018/11]
  • Iterative Methods for Linear Systems of Equations: A Brief Historical Journey by Yousef Saad [2019/08]
  • Numerical matrix decomposition and its modern applications: A rigorous first course by J. Lu [2021/07]
  • Tutorial and practice in linear programming: Optimization problems in supply-chain and transport logistics by R. Bridgelall [2022/11]
  • First-order methods for linear programming by H.-H. Lu [2024/03]
  • A review of matrix algebra for power and energy applications by A. Garces-Ruiz [2024/05]

• Type: LINEAR: PRIMITIVE MATRICES:
  • K-primitivity: A literature survey by M. Nej [2024/02]

• Type: NON-LINEAR:
  • Nonlinear algebra and applications by P. Breiding et al. [2021/03]

• LINEAR: RANDOMISED:
  • Lectures on Randomized Numerical Linear Algebra by Petros Drineas and Michael W. Mahoney [2017/12]

• Types: GEOMETRIC (CLIFFORD); MATRIX;

• Type: NONCOMMUTATIVE: See also GRASSMANN; QUANTUM; QUATERNIONS;
  • An Invitation to Noncommutative Algebra by Chelsea Walton [2018/08]

• Aspects: ALGEBRAIC GEOMETRY; IDEALS; MATRICES;

• Aspects: ORTHOGONAL POLYNOMIALS:
  • What is a multiple orthogonal polynomial? by Andrei Martínez-Finkelshtein and Walter Van Assche [Notices of the American Mathematical Society 63, 1029 (2016)]
  • An Introduction to Schur Polynomials by Amritanshu Prasad [2018/02]

• Aspects: QUADRATIC FORMS:
  • Signatures [of quadratic forms] in algebra, topology and dynamics by Etienne Ghys and Andrew Ranicki [Ensaios Matematicos 30, 1 (2016)] 173 pp.

• Aspects: TENSORS:
  • The first acquaintance with the tensor by Victor Alexandrov [2013/11] In Russian.
  • Tensor spaces -- the basics by S. Gill Williamson [2015/10]

• Re: CATEGORY THEORY:
  • An Introduction to Higher Categorical Algebra by David Gepner [2019/07]

• Re: STATISTICS:
  • Algebraic Statistics in Practice: Applications to Networks by Marta Casanellas et al. [2019/06]

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