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| Bamberg P.G. — A Course in Mathematics for Students of Physics, Vol. 2 |
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| Предметный указатель |
Absolute temperature 773 780 783
Abstract temperature 777
Adiabatic curve 778
Adiabatic enclosure 772 778
Adiabatic interaction 778
Ampere 408
Ampere’s Law 631 688
antisymmetric 536
Bilinear function 535
Bilinear function, alternating 535
Binomial measure 803
Bose — Einstein statistics 803
Bosons 803
Bott periodicity 685
Boundaries 421
Boundary map 420 503
Boundary operator 415 503
Boundary value problems 474
Boyle’s law 791
Calculus of residues 715
Capacitance 408
Capacitive networks 469
Capacitor 408
Caratheodory’s theorem 771
Caratheodory’s theorem, statement of proof of 771 850
Carnot cycle 784
Cauchy integral formula 719 721
Cauchy principal value 737
Cauchy — Riemann equations 711
Cauchy’s residue theorem 717
Cauchy’s Theorem 710
Causality 691
Chains 419
Change of variables formula 546
chemical potential 799
Circuit theory 407
Circuits, linear passive 408
Classical phase space 804
Clifford algebras 658 673 675
Co-chain 429
Cohomology 520
Commutative diagram 533
Complexes, higher dimensional 502
Conductance 411
Conductivity 615
Configurational variables 777
Contour integrals 735
Coulomb 407
Creation and annihilation operators 657
Current 407
CYCLE 420
D operator 539—541
de Broglie’s formula 762
De Rham cohomology 565
Diathermal contact 775
Dielectric coefficient 596
dielectric constant 599
Dielectric displacement 588
Diode 409
Dirac algebra 600
Dirichlet integral 646
Dirichlet problem 476 591 604
Dirichlet problem, solution 479 608
Dirichlet’s principle 605
Doctrine of latent and specific heat 787
Domain of dependence 691
Domain of influence 691
Einstein’s formula 762
Electric field strength 588
Electrical screening, principle of 592
Electromagnetic Lagrangian 697
Electromotive force 409
Electrostatic energy 600
Electrostatics, equations of 597 599
Empirical temperature 777
Energy momentum tensor 697 700
Enthalpy 792
Entries, to a circuit 467
entropy 773 780 783 797 814
Equilibrium states 775 816 819
Equipotential 593
Essential singularity 729
Euler characteristic 508
Euler’s theorem 508 518
Exterior algebra 535—9
Face 502
Farad 408
Faraday’s law of induction 686
Fermi — Dirac statistics 803
fermions 803
Filter 446
First law of thermodynamics 772 778
Flow 618
Formal transpose 586
Fourier inversion formula 763
Fourier series 743
Fourier transform 763
Fresnel integrals 735
Fundamental formula of differential calculus 628 633
Fundamental theorem of algebra 724
Gamma distribution 822
Gamma function 750
Gas constant 790
Gaussian Integrals 758
Gaussian measure, continuous 804
Gaussian measure, discrete 804
Gauss’ law 471 588
Graph, oriented 419
Green’s formulas 483 601
Green’s functions 482 606
Green’s reciprocity theorem 466 467 487
Group velocity 761
Harmonic functions 602
Heat 778
Helmholtz equation 702
Henry 408
Holomorphic functions 711—5
Homology 505
Homology, invariance 510
Huyghen’s principle 703
Ideal gas 791
Impedance 418
Incoming wave 701
Inductance 408
inductor 408
Intensive variables 800
Interior product 621
Internal energy 772 778 812
Isotherms 778
k-chains 503
k-form 537 539
| k-form, closed 564
k-form, exact 564
k-form, integration 541
Kirchhoffs theorem 428 444
Kirchhoff’s current law 411 420 434 615 628
Kirchhoff’s laws 410
Kirchhoff’s tree method 461 463
Kirchhoff’s voltage law 411 429 434
Lagrangian formulation 698
Lagrangian submanifold 794
Lagrangian submanifold, generating function 795
Laplace operator on k-forms 647
Laplace’s equation 473
Laplace’s method 750
Laplace’s principle 755
Laplacian 472 646
Latent heat 787
Laurent expansion 743
Laurent series 743
Lie derivative 626
Lie derivative of a k-form, formula 628
Lie derivative of a k-form, properties 627
Lienard — Wiechert potential 696
Liouville’s theorem 724
Lorentz force 700
Magnetic excitation 631
Magnetic lines of force 630
Magnetism 628
Magnetostatics, laws of 631
Massieu function 796 814
Maximum entropy principle 797
Maxwell — Boltzmann distribution 819
Measure 801
Meromorphic function 717
mesh 415
Mesh current method 416 427 435
Method of images 491
Minimum energy principle 797
Mollier diagram 793
n-complex 503
Networks, electrical 407
Node 413
Node potential method 417 435
Noether’s theorem 698
Normal modes 445
Null curve 769
Observables (in classical statistical mechanics) 808 823
Occupancy 803
Ohm 408
Ohm’s Law 408 615
One-chains 419
One-dimensional complex 419
One-parameter group 618
Orthogonal projection, Weyl’s method of 458 604
Outgoing wave 701
Partition function 814 823
Partition of unity 559 562
Path 415
Permeability 631
Planck function 794
Poincare’s Lemma 568 569
Poisson equation problem 475
Poisson integral formula 608
Poisson kernel 483 485
Poisson’s equation 472
Poisson’s equation, solution 479 607
Pole 717
Power 407
Poynting vector 700
Principle of removable singularities 721
Probability measure 802
Progressing wave 700
Pushforward, of a measure 806
Quantum logic 831
Quantum state 831
Quaternions 660
Ramification 733
Random walk 485
Reduced wave equation 702
Resistance 409
resistivity 615
resistor 408
Resistor, in parallel 411
Resistor, in series 413
Resistor, linear 409
Resistor, non-linear 409
Resonance, in circuit theory 418
Resonant frequencies 445
Restricted coboundary map 431
Retarded potentials 696
Reversible curve 778
Rouche theorem 728
Second law of thermodynamics 773 780
Short circuit 418
Solid angle 586
Specific heat 787
Speed of sound 788
Star operator 641
Star operator in  597
Star operator in spacetime 643 644
Star shaped 569
State 775
State, statistical 802 823 832
Stationary phase, method of 755
Stirling’s formula 750
Stokes’ Theorem 553
system 775 822
Tellegen’s theorem 430
Tensor algebras 671
Tensor products 664
Thermal equilibrium 777
Thermistor 409
Thermometer 777
Torus 513
TREE 424
Trees and projections 426
Trilinear 536
Two-cell 502
Two-complex 502
Vector field 617
Vertex 413
Volt 408
Voltage 407
Voltage vector 429
Watt 408
Wave equation, homogeneous, one-dimensional 689
Wave equation, homogeneous, three-dimensional 692
Wave equation, inhomogeneous 695
Wave front 700
Wedge product 535 538
Zero-chains 419
Zeroth law of thermodynamics 777
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