Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics. Patrick Muldowney

8.9 From Particle to Field 8.10 Simple Harmonic Oscillator 8.11 A Finite Number of Particles 8.12 Continuous Mass Field Notes Chapter 9: Quantum Electrodynamics 9.1 Electromagnetic Field Interaction 9.2 Constructing the Field Interaction Integral 9.3 ‐Complete Integral Over Histories 9.4 Review of Point‐Cell Structure 9.5 Calculating Integral Over Histories 9.6 Integration of a Step Function 9.7 Regular Partition Calculation 9.8 Integrand for Integral over Histories 9.9 Action Wave Amplitudes 9.10 Probability and Wave Functions Notes

      9  Part III: Appendices Chapter 10: Appendix 1: Integration 10.1 Monstrous Functions 10.2 A Non‐monstrous Function 10.3 Riemann‐complete Integration 10.4 Convergence Criteria 10.5 “I would not care to fly in that plane” Notes Chapter 11: Appendix 2: Theorem 63 11.1 Fresnel's Integral 11.2 Theorem 188 of [MTRV] 11.3 Some Consequences of Theorem 63 Fallacy Notes Chapter 12: Appendix 3: Option Pricing 12.1 American Options 12.2 Asian Options Notes Chapter 13: Appendix 4: Listings 13.1 Theorems 13.2 Examples 13.3 Definitions 13.4 Symbols

      10  Bibliography

      11  Index

      12  End User License Agreement

      List of Tables

      1 Chapter 2Table 2.1 Distribution of payouts.Table 2.2 Relative frequency table of distribution of weights.Table 2.3 Calculation of mean and standard deviation.Table 2.4 UD sample paths for processes

Table 2.5 Calculations for two UD sample paths for processes

      2 Chapter 8Table 8.1 List of four cells forming a regular partition

of

.Table 8.2 List of representative co‐ordinates for step function calculation.

      3 Chapter 9Table 9.1 Elements of calculation of Riemann sum over a regular partition.

      4 Chapter 12Table 12.1 Glanbia share prices, 3 August 1991 to 3 September 2011.

      List of Illustrations

      1 Chapter 10Figure 10.1

Figure 10.2

Figure 10.3

Figure 10.4

      2 Chapter 12Figure 12.1

Figure 12.2

Figure 12.3

,

,

Figure 12.4

Figure 12.5

Figure 12.6

,

,

Figure 12.7 moving averages.Figure 12.8 Exponential regressionFigure 12.9 All moving SD'sFigure 12.10 Option values

      Guide

      1  Cover

      2