The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I, Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity, supergravity, and superstrings.
Contents: Part I. The Electromagnetic Field and Maxwell's Equations.- Mathematical Preliminaries.- The Electromagnetic Field and Maxwell's Equations.- Electrostatic Fields.- Magnetostatic Fields.- Magnetodynamic Fields.- Interaction Between Electromagnetic and Mechanical Forces.- Wave Propagation and High Frequency Electromagnetic Fields. Part II. Introduction to the Finite Element Method in Electromagnetics.- Introduction to the Finite Element Method.- The Variational Finite Element Method: Some Static Applications.-Galerkin's Residual Method: Applications to Dynamic Fields.- Hexahedral Edge Elements Some 3-D Applications.- Computational Aspects in Finite Element Software Implementation.- General Organization of Field Computation Software.
Provides an introduction to petroleum exploration methods, referring to both geophysical and geochemical techniques and the logistics of various drilling techniques and well logging methods for oil and gas exploration. The second part of the book focuses on using these methods for petroleum exploration within the context of northern Africa. The geology of northern Africa is described and computerized lithographic correlation charts are presented and applied to petroleum exploration targets from the region.
There is a beast in the labyrinth, a monster. The people say he is both man and bull; they call him Asterion.
Terrifying yet compelling, the beast offers Crete's only hope for redemption.
In the third installment of "The Child of the Erinyes," Queen Aridela sets out to rebuild her devastated country. Will she sacrifice her beloved consort as ancient tradition demands? Chrysaleon seeks a way to escape his vow of death and subjugate his adopted land. Can he thwart the Goddess and survive? Menoetius must offer his allegiance. Who will win his loyalty? His brother, or the woman he loves?
The choices these three make have unforeseen, horrific consequences, changing the course of history and propelling Goddess Athene's triad toward fulfillment of a bold, far-reaching design.
A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of "duality" according to the PDE weak solutions and "hierarchy" for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski-Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.