Mathematical Physics with Differential Equations
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations.

The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
1142260627
Mathematical Physics with Differential Equations
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations.

The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
50.0 In Stock
Mathematical Physics with Differential Equations

Mathematical Physics with Differential Equations

by Yisong Yang
Mathematical Physics with Differential Equations

Mathematical Physics with Differential Equations

by Yisong Yang

Paperback

$50.00 
  • SHIP THIS ITEM
    In stock. Ships in 2-4 days.
  • PICK UP IN STORE

    Your local store may have stock of this item.

Related collections and offers


Overview

Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations.

The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.

Product Details

ISBN-13: 9780192872623
Publisher: Oxford University Press
Publication date: 10/27/2023
Pages: 496
Product dimensions: 8.80(w) x 6.40(h) x 1.70(d)

About the Author

Yisong Yang, Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University

Yisong Yang is a Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University. He received his Ph.D. in Mathematics from the University of Massachusetts at Amherst in 1988.

Table of Contents

PrefaceNotation and Convention1. Hamiltonian Systems and Applications2. Schrödinger Equation and Quantum Mechanics3. Maxwell Equations, Dirac Monopole, and Gauge Fields4. Special Relativity5. Abelian Gauge Field Equations6. Dirac Equations7. Ginzburg–Landau Equations for Superconductivity8. Magnetic Vortices in Abelian Higgs Theory9. Non-Abelian Gauge Field Equations10. Einstein Equations and Related Topics11. Charged Vortices and Chern–Simons Equations12. Skyrme Model and Related Topics13. Strings and Branes14. Born–Infeld Theory of Electromagnetism15. Canonical Quantization of FieldsAppendicesBibliographyIndex
From the B&N Reads Blog

Customer Reviews