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Nuclear Fusion Reactor Mathematics: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)

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Description

A rigorous, mathematics-first reference that unites kinetic theory, MHD, and multiphysics modeling for reactor-grade plasmas. Topics span Vlasov-Maxwell and Landau-Fokker-Planck hierarchies, asymptotic orderings and nondimensionalization, magnetic geometry and flux coordinates in Boozer and Hamada forms, Grad-Shafranov and 3D equilibria, and energy and helicity invariants. Derivations emphasize variational principles, constrained optimization, and well-posed boundary value problems that underpin modern equilibrium and stability analysis. Readers will find a complete treatment of ideal and resistive stability including ballooning, kink, interchange, tearing and reconnection with matched asymptotics, Delta-prime, and the Rutherford equation; neoclassical transport from banana to Pfirsch-Schluter; linear microinstabilities and gyrokinetic theory with Hamiltonian structure and free-energy conservation; nonlinear turbulence and zonal-flow dynamics; wave-plasma interaction with full-wave and ray methods plus quasilinear Fokker-Planck current drive; energetic particle orbits and Alfvenic eigenmodes; burn dynamics and alpha thermalization; edge and sheath physics; neutronics with deterministic and Monte Carlo methods; thermal-hydraulics and thermomechanics; disruption and runaway modeling; coil and quasisymmetry optimization; structure-preserving numerics, adjoint-based sensitivities, and uncertainty quantification. Built for graduate study and research, it features theorem-level statements with proofs where possible, matched-asymptotic constructions, eigenvalue and spectral theory, error estimates, and algorithmic guidance for high performance computation and multiphysics coupling.

Product Specifications

Format: paperback
ASIN: B0G1KMK13K
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Electrical
Domain: Amazon UK
Release Date: 09 November 2025
Listed Since: 09 November 2025

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Nuclear Fusion Reactor Mathematics: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)

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