Mathematical Physics Part II by Boris Dubrovin
Mathematical Physics II - Table of Contents
- 0. Singular Points of Solutions to Analytic Differential Equations
- 1. Differential Equations in the Complex Domain: Basic Results
- 2. Analytic Continuation of Solutions. Movable and Fixed Singularities
- 3. Singularities for Differential Equations not Resolved with Respect to the Derivative. Weierstrass Elliptic Function
- 4. Poincaré Method of Small Parameter
- 5. Method of Small Parameter Applied to Painlevé Classification Problem
- 6. Monodromy of Linear Differential Operators with Rational Coefficients
- 7. Solutions to Linear Systems with Rational Coefficients: the Local Theory
- 8. Gauss Equation and Hypergeometric Function
What You Will Learn in Mathematical Physics II
Mathematical Physics II by Boris Dubrovin is an authoritative academic text designed to bridge the gap between abstract differential geometry and modern theoretical physics applications. Developed for graduate lecture courses, this comprehensive mathematical physics textbook for university students focuses on smooth manifolds, tangent bundles, tensor analysis, and the geometry of field theories.
Dubrovin’s approach is rigorous, geometrically deep, and physically intuitive. Each concept is introduced with clear mathematical structures, allowing readers to learn mathematical physics concepts step-by-step—from Lie algebras and differential forms to integration on manifolds and Stokes' theorem. This thorough exposition makes the volume an indispensable mathematical physics ii boris dubrovin pdf resource for mastering global analysis and classical mechanics.
Ideal for theoretical physics majors, geometry researchers, and advanced mathematics students, this foundational monograph serves as an excellent free mathematical physics textbook for graduate students. Its enduring pedagogical value makes it a reliable mathematical physics study guide for self-learners aiming to explore the geometric framework powering modern physics.
Book Details & Specifications
Title:
Mathematical Physics Part II by Boris Dubrovin
Publisher:
SISSA
Year:
2008
Pages:
78
Type:
PDF
Language:
English
ISBN-10 #:
3832537198
ISBN-13 #:
978-3832537197
License:
University Educational Resource
Amazon:
Amazon
About the Author: Boris Dubrovin
The author Boris Dubrovin
was an internationally celebrated mathematician at SISSA (Trieste), renowned worldwide for his pioneering work in integrable systems, Hamiltonian mechanics, and the geometry of Frobenius manifolds.
His widely acclaimed treatise Mathematical Physics II Book PDF by Boris Dubrovin continues to serve as a cornerstone reference for researchers and scholars in global geometry and theoretical physics.
Read or Downloadable Mathematical Physics II
Mathematical Physics Books PDF - Math for Design Library