| Foreword |
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xi | |
| Preface |
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xiii | |
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Part One: The One-Particle Equations |
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Quantum Mechanics and Symmetry Principles |
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3 | (33) |
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Quantum Mechanical Formalism |
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3 | (5) |
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Schrodinger and Heisenberg Pictures |
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8 | (1) |
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Nonrelativistic Free-Particle Equation |
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9 | (4) |
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Symmetry and Quantum Mechanics |
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13 | (5) |
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Rotations and Intrinsic Degrees of Freedom |
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18 | (15) |
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The Four-Dimensional Rotation Group |
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33 | (3) |
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36 | (18) |
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36 | (2) |
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The Homogeneous Lorentz Group |
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38 | (6) |
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The Inhomogeneous Lorentz Group |
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44 | (10) |
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The Klein-Gordon Equation |
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54 | (11) |
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54 | (1) |
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Properties of Solutions of K-G Equation |
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55 | (5) |
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60 | (3) |
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63 | (2) |
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65 | (43) |
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65 | (5) |
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Properties of the Dirac Matrices |
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70 | (4) |
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74 | (8) |
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Solutions of the Dirac Equation |
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82 | (3) |
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Normalization and Orthogonality Relations: Traces |
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85 | (6) |
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Foldy-Wouthuysen Representation |
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91 | (4) |
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95 | (4) |
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Dirac Equation in External Field---Charge Conjugation |
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99 | (9) |
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108 | (13) |
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The Two-Component Theory of the Neutrino |
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108 | (5) |
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The Polarization States of Mass Zero Particles |
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113 | (3) |
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116 | (5) |
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Part Two: Second Quantization |
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Second Quantization: Nonrelativistic Theory |
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121 | (35) |
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Permutations and Transpositions |
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121 | (2) |
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Symmetric and Antisymmetric Wave Functions |
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123 | (3) |
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126 | (2) |
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128 | (2) |
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Creation and Annihilation Operators |
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130 | (4) |
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134 | (3) |
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137 | (3) |
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Representation of Operators |
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140 | (6) |
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146 | (2) |
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Noninteracting Multiparticle Systems |
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148 | (2) |
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150 | (6) |
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Relativistic Fock Space Methods |
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156 | (62) |
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The Neutral Spin 0 Boson Case |
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156 | (8) |
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164 | (3) |
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167 | (16) |
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Connection with Field Theory |
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183 | (10) |
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193 | (2) |
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195 | (12) |
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Conservation Laws and Lagrangian Formalism |
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207 | (4) |
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211 | (7) |
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Quantization of the Dirac Field |
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218 | (22) |
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218 | (6) |
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224 | (7) |
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Transformation Properties |
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231 | (5) |
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The Field Theoretic Description of Nucleons |
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236 | (4) |
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Quantization of the Electromagnetic Field |
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240 | (17) |
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240 | (2) |
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Quantization: The Gupta-Bleuler Formalism |
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242 | (10) |
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Transformation Properties |
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252 | (5) |
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Part Three: The Theory of Interacting Fields |
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Interaction Between Fields |
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257 | (51) |
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Symmetries and Interactions |
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257 | (7) |
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Restrictions Due to Space-Time Symmetries |
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264 | (8) |
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Electromagnetic Interactions |
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272 | (8) |
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The Meson-Nucleon Interaction |
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280 | (5) |
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285 | (9) |
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294 | (7) |
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301 | (7) |
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The Formal Theory of Scattering |
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308 | (31) |
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309 | (6) |
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The Lippmann-Schwinger Equations |
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315 | (1) |
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316 | (9) |
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325 | (3) |
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328 | (2) |
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330 | (9) |
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Simple Field Theoretic Models |
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339 | (76) |
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339 | (13) |
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352 | (18) |
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370 | (2) |
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372 | (43) |
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415 | (32) |
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415 | (11) |
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The Scattering of a Neutral Meson by a Nucleon |
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426 | (9) |
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435 | (7) |
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The Representation of the Invariant Functions |
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442 | (5) |
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447 | (60) |
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Interaction with External Electromagnetic Field |
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447 | (19) |
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Feynman Diagrams for Interacting Fields |
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466 | (6) |
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Momentum Space Considerations |
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472 | (12) |
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484 | (3) |
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Examples:
1. Compton Scattering |
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487 | (14) |
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493 | (2) |
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495 | (3) |
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498 | (3) |
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Symmetry Principles and S Matrix |
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501 | (6) |
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507 | (77) |
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The Self-Energy of a Fermion |
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508 | (16) |
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Mass Renormalization and the Nonrelativistic Lamb Shift |
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524 | (7) |
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Radiative Corrections to Scattering |
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531 | (12) |
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The Anomalous Magnetic Moment and the Lamb Shift |
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543 | (7) |
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550 | (11) |
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561 | (5) |
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566 | (9) |
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Renormalization in Meson Theory |
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575 | (9) |
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Quantitative Renormalization Theory |
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584 | (65) |
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Primitively Divergent Diagrams |
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584 | (23) |
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The Renormalizability of Quantum Electrodynamics |
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607 | (8) |
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The Separation of Divergences from Irreducible Graphs |
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615 | (4) |
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The Separation of Divergences from Reducible Graphs |
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619 | (6) |
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625 | (4) |
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Proof of Renormalizability |
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629 | (9) |
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The Meaning of Charge Renormalization |
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638 | (2) |
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640 | (9) |
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Part Four: Formal Developments |
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649 | (72) |
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Vacuum Expectation Values of Heisenberg Operators |
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650 | (9) |
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The Lehmann Spectral Representation |
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659 | (18) |
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The Magnitude of the Renormalization Constants |
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677 | (6) |
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The S Matrix in the Heisenberg Picture |
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683 | (13) |
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696 | (9) |
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705 | (16) |
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The Axiomatic Formulation |
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721 | (107) |
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723 | (19) |
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The LSZ Formulation of Field Theory |
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742 | (22) |
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Integral Representations of a Causal Commutator |
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764 | (12) |
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776 | (50) |
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826 | (2) |
| Problems and Suggested Further Reading |
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828 | (25) |
| References |
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853 | (38) |
| Index |
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891 | (16) |
| Compendium of Useful Formulae |
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907 | |
