Cantitate/Preț
Produs
Total produse
Vezi coșul
Inequalities: Selecta of Elliott H. Lieb de Elliott H. Lieb

Inequalities: Selecta of Elliott H. Lieb

Autor Elliott H. Lieb Editat de Michael Loss, M. B. Ruskai
en Limba Engleză Hardback – 23 feb 2003
Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 94980 lei  43-57 zile
  Springer Berlin, Heidelberg – 13 oct 2012 94980 lei  43-57 zile
Hardback (1) 95212 lei  43-57 zile
  Springer Berlin, Heidelberg – 23 feb 2003 95212 lei  43-57 zile

Preț: 95212 lei

Preț vechi: 116112 lei
-18% Nou

Puncte Express: 1428
Preț estimativ în valută:
18219€ • 19240$ • 15162£

Carte tipărită la comandă

Livrare economică 13-27 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783540430216
ISBN-10: 3540430210
Pagini: 724
Ilustrații: IX, 711 p.
Dimensiuni: 170 x 244 x 44 mm
Greutate: 1.2 kg
Ediția:1st ed. 2002. Corr. 2nd printing 2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Descriere

Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.

Cuprins

Commentaries.- I. Inequalities Related to Statistical Mechanics and Condensed Matter.- I.1 Theory of Ferromagnetism and the Ordering of Electronic Energy Levels.- I.2 Ordering Energy Levels of Interacting Spin Systems.- I.3 Entropy Inequalities (with H. Araki).- I.4 A Fundamental Property of Quantum-Mechanical Entropy.- I.5 Proof of the Strong Subadditivity of Quantum-Mechanical Entropy.- I.6 Some Convexity and Subadditivity Properties of Entropy.- I.7 A Refinement of Simon’s Correlation Inequality.- I.8 Two Theorems on the Hubbard Model.- I.9 Magnetic Properties of Some Itinerant-Electron Systems at T > 0.- II. Matrix Inequalities and Combinatorics.- II.1 Proofs of Some Conjectures on Permanents.- II.2 Concavity Properties and a Generating Function for Stirling Numbers.- II.3 Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture.- II.4 Some Operator Inequalities of the Schwarz Type.- II.5 Inequalities for Some Operator and Matrix Functions.- II.6 Positive Linear Maps Which Are Order Bounded on C* Subalgebras.- II. 7 Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities.- II. 8 Sharp Uniform Convexity and Smoothness Inequalities for Trace Norms.- II.9 A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy.- III. Inequalities Related to the Stability of Matter.- III.1 Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities.- III.2 On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators.- III.3 The Number of Bound States of One-Body Schrödinger Operators and the Weyl Problem.- III.4 Improved Lower Bound on the Indirect Coulomb Energy.- III.5 Density Functionals for Coulomb Systems.- III.6 On Characteristic Exponents in Turbulence.- III.7 Baryon Mass Inequalities in Quark Models.- III.8 Kinetic Energy Bounds and Their Application to the Stability of Matter.- III.9 A Sharp Bound for an Eigenvalue Moment of the One-Dimensional Schrödinger Operator.- IV. Coherent States.- IV.1 The Classical Limit of Quantum Spin Systems.- IV.2 Proof of an Entropy Conjecture of Wehrl.- IV.3 Quantum Coherent Operators: A Generalization of Coherent States.- IV.4 Coherent States as a Tool for Obtaining Rigorous Bounds.- V. Brunn-Minkowski Inequality and Rearrangements.- V.1 A General Rearrangement Inequality for Multiple Integrals.- V.2 Some Inequalities for Gaussian Measures and the Long-Range Order of the One-Dimensional Plasma.- V.3 Best Constants in Young’s Inequality, Its Converse and Its Generalization to More than Three Functions.- V.4 On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions and with an Application to the Diffusion Equation.- V.5 Existence and Uniqueness of the Minimizing Solution of Choquard’s Nonlinear Equation.- V.6 Symmetric Decreasing Rearrangement Can Be Discontinuous.- V.7 The (Non) Continuity of Symmetric Decreasing Rearrangement.- V.8 On the Case of Equality in the Brunn-Minkowski Inequality for Capacity.- VI. General Analysis.- VI.1 An Lp Bound for the Riesz and Bessel Potentials of Orthonormal Functions.- VI.2 A Relation Between Pointwise Convergence of Functions and Convergence of Functionals.- VI.3 Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities.- VI.4 On the Lowest Eigenvalue of the Laplacian for the Intersection of Two Domains.- VI.5 Minimum Action Solutions of Some Vector Field Equations.- VI.6 Sobolev Inequalities with Remainder Terms (with H. Brezis).- VI.7 Gaussian Kernels Have Only Gaussian Maximizers.- VI.8 Integral Bounds for Radar Ambiguity Functions and Wigner Distributions.- VII. Inequalities Related to Harmonic Maps.- VII.1 Estimations d’énergie pour des applications de R3 à valeurs dans S2.- VII.2 Singularities of Energy Minimizing Maps from the Ball to the Sphere.- VII.3 Co-area, Liquid Crystals, and Minimal Surfaces.- VII.4 Counting Singularities in Liquid Crystals (with F. Almgren).- VII.5 Symmetry of the Ginzburg-Landau Minimizer in a Disc.- Publications of Elliott H. Lieb.

Recenzii

From the reviews:
"A well done edition which can be very helpful for mathematicians and mathematical oriented physicists." (Zeitschrift für Analysis und ihre Anwendungen, 22/2, 2003)
"The book contains a list of the publications (276) of E. H. Lieb. There is nicely written introduction ... by the editors. They explain in detail how the selected papers fit into the main directions of Lieb’s research. All together it is a well done edition which can be very helpful for mathematicians and mathematical oriented physicists. The quality of the printing is excellent." (A. Uhlmann, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22 (2), 2003)

Caracteristici

Essential tool when applying analysis to problems of practical importance
Brings together a host of inequalities otherwise scattered in the literature and hard to find
Includes supplementary material: sn.pub/extras