02562nam 2200589 450 991078889990332120220519062340.01-4704-0699-3(CKB)3360000000464473(EBL)3113731(SSID)ssj0000973322(PQKBManifestationID)11611893(PQKBTitleCode)TC0000973322(PQKBWorkID)10959897(PQKB)11042947(MiAaPQ)EBC3113731(RPAM)3297005(PPN)195411714(EXLCZ)99336000000046447319831103d1984 uy| 0engur|n|---|||||txtccrA computer-assisted proof of universality for area-preserving maps /J.-P. Eckmann, H. Koch, and P. WittwerProvidence, R.I., USA :American Mathematical Society,1984.1 online resource (130 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 289 (Jan. 1984)"January 1984, volume 47, number 289 (first of six numbers)."0-8218-2289-6 Bibliography: pages 121.TABLE OF CONTENTS -- INTRODUCTION -- PART I. ANALYSIS OF DOUBLING -- 1. Feigenbaum universality for area-preserving maps -- 2. Generating functions -- 3. Further reduction of the problem -- 4. Spectral properties -- 5. Construction of the operator L -- 6. Construction of the doubling operator -- PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER -- 1. Internal and neighborhood arithmetics -- 2. Spectral theory -- 3. Internal and neighborhood arithmetics on a computer -- List of correspondences -- PART III. PROOFS -- 1. Computer program -- 2. Program output -- Table 1REFERENCES.Memoirs of the American Mathematical Society ;no. 289.Hamiltonian systemsData processingMappings (Mathematics)Data processingError analysis (Mathematics)Hamiltonian systemsData processing.Mappings (Mathematics)Data processing.Error analysis (Mathematics)510 s514/.7Eckmann Jean Pierre45833Koch H(Hans),Wittwer P(Peter),MiAaPQMiAaPQMiAaPQBOOK9910788899903321A computer-assisted proof of universality for area-preserving maps3764224UNINA02011nam 2200445 450 991081795500332120230803211019.03-8325-8740-3(CKB)4100000011338344(MiAaPQ)EBC62432546026adf5-f0e8-47e3-bcfb-4fa7b0dd2d03(EXLCZ)99410000001133834420201022d2014 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical physicsIIClassical statistical mechanics, lecture notes /Matteo PetreraBerlin :Logos Verlag,[2014]©20141 online resource (176 pages)PublicationDate: 201409153-8325-3719-8 Long description: These Lecture Notes provide an introduction to classical statistical mechanics. The first part presents classical results, mainly due to L. Boltzmann and J.W. Gibbs, about equilibrium statistical mechanics of continuous systems. Among the topics covered are: kinetic theory of gases, ergodic problem, Gibbsian formalism, derivation of thermodynamics, phase transitions and thermodynamic limit. The second part is devoted to an introduction to the study of classical spin systems with special emphasis on the Ising model. The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with concrete examples and exercises.Statistical mechanicsTextbooksMathematical physicsTextbooksMathematical physicsStatistical mechanicsMathematical physicsMathematical physics.530.13Petrera Matteo1593215MiAaPQMiAaPQMiAaPQBOOK9910817955003321Mathematical physics3913237UNINA