Emmy Noether's wonderful theorem

By: Neuenschwander, Dwight EMaterial type: TextTextPublication details: Baltimore, Md.: Johns Hopkins University Press, [c2011]Description: 243 pISBN: 9780801896941LOC classification: QA174.17.S9
Contents:
1 PROLOGUE; Part I- WHEN FUNCTIONALS ARE EXTREMAL; 2 Functionals; 3 Extremals; Part II- When functionals are invariant; 4 Invariance; 5 Emmy Noether's Elegant Theorem; Part III- THE INVARIANCE OF FIELDS; 6 Fields and Noether's theorem; 7 Gauge Invariance as a dynamical principle; Part IV- POST-NOETHER INVARIANCE; 8 Invariance in phase space; 9 The action as a generator; APPENDIXES; A. Scalars, vectors, tensors, and coordinate transformations; B. Special relativity; C. Equations of motion in quantum mechanics; D. Legendre transformations and conjugate variables; E. The Jacobian; Bibliography; Index
Summary: "A beautiful piece of mathematics, Noether's Theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space, or rotation will obey the laws of conservation of energy, linear momentum, or angular momentum, respectively.
List(s) this item appears in: Gift Books
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Copy number Status Date due Barcode Item holds
Book Book ICTS
Mathematics Rack No 10 QA174.17.S9 (Browse shelf (Opens below)) 1 Available 02549
Total holds: 0

1 PROLOGUE;

Part I- WHEN FUNCTIONALS ARE EXTREMAL;
2 Functionals;
3 Extremals;

Part II- When functionals are invariant;
4 Invariance;
5 Emmy Noether's Elegant Theorem;

Part III- THE INVARIANCE OF FIELDS;
6 Fields and Noether's theorem;
7 Gauge Invariance as a dynamical principle;

Part IV- POST-NOETHER INVARIANCE;
8 Invariance in phase space;
9 The action as a generator;

APPENDIXES;
A. Scalars, vectors, tensors, and coordinate transformations;
B. Special relativity;
C. Equations of motion in quantum mechanics;
D. Legendre transformations and conjugate variables;
E. The Jacobian;
Bibliography;
Index

"A beautiful piece of mathematics, Noether's Theorem touches on every aspect of physics. Emmy Noether proved her theorem in 1915 and published it in 1918. This profound concept demonstrates the connection between conservation laws and symmetries. For instance, the theorem shows that a system invariant under translations of time, space, or rotation will obey the laws of conservation of energy, linear momentum, or angular momentum, respectively.

There are no comments on this title.

to post a comment.