One Field, Many Paths: U. S. Doctoral Programs in Mathematics Education


Book Description

This book is the first to focus specifically on doctoral programs in mathematics education. It reflects the proceedings of a National Conference on Doctoral Programs in Mathematics Education (Lake Ozark, MO) which was sponsored by the National Science Foundation. This conference was proceeded by a comprehensive survey of programs conducted over the preceding year. The meeting was designed to generate dialog regarding the nature of current doctoral programs in mathematics education, to discuss ways to strengthen such programs, and to detail suggestions and guidelines for faculty engaged in restructuring an existing program or in creating a new one.




On Klauder's Path: A Field Trip


Book Description

This volume contains contributions by friends, colleagues and associates of John R Klauder on the occasion of his 60th birthday.Klauder's scientific work embraces vast territories from quantum theories to general relativity, optics and chaotic dynamics. A recurrent theme in his research is the role played by coherent states, in particular, in connection with path integral formulations of quantization. Perhaps at a less lofty level, this concept has had at least two spectacular applications: as a powerful investigative tool in quantum optics and as a precursor to wavelets. In a different vein, Klauder also attacked specific, non-renormalizable but exactly soluble, hard-core models in field theory, where he uncovered what has since been called the Klauder phenomenon.The contributors to this volume represent the special brand of mathematicians and physicists John Klauder helped define throughout his seminal career in the industrial and academic worlds.




Path Integrals in Field Theory


Book Description

Concise textbook intended as a primer on path integral formalism both in classical and quantum field theories, although emphasis is on the latter. It is ideally suited as an intensive one-semester course, delivering the basics needed by readers to follow developments in field theory. Path Integrals in Field Theory paves the way for both more rigorous studies in fundamental mathematical issues as well as for applications in hadron, particle and nuclear physics, thus addressing students in mathematical and theoretical physics alike. Assuming some background in relativistic quantum theory (but none in field theory), it complements the authors monograph Fields, Symmetries, and Quarks (Springer, 1999).




The Path of Love


Book Description

The Buddha was a scientist. Instead of using a microscope or a particle accelerator, the Buddha used ESP. He had several psychic powers that allowed him to perceive in detail the psychology of karma, the evolution of consciousness, and subatomic particles. He discovered love and self-love to be organizing principles that evolved early in the history of intelligent consciousness, especially with regard to feelings and emotions. Every person has the deepest need to love and be loved. He solved the mind-body problem by perceiving the physical basis of intelligent consciousness. These psychic powers are acknowledged in Hindu and Buddhist scriptures, but extremely few people have them. This book is essentially a meditation report written by someone who has them. While this sounds like an invitation to return this book to the shelf in a bookstore, it also documents in depth another report by a physicist, Stephen Phillips, who relates in comprehensive detail the relationship between modern superstring theory and extrasensory observation of the elements of the periodic table by Annie Besant and Charles Leadbeater of the Theosophical Society. This strong connection between modern physics and psychic powers of the Buddha is a real challenge to both the modern scientist and the modern Buddhist.




Path Integral Methods in Quantum Field Theory


Book Description

The applications of functional integral methods introduced in this text for solving a range of problems in quantum field theory will prove useful for students and researchers in theoretical physics and quantum field theory.




Field Theory: A Path Integral Approach (2nd Edition)


Book Description

New Edition: Field Theory (3rd Edition)This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described.




Field Theory: A Path Integral Approach (Third Edition)


Book Description

This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.All the existing chapters of the previous edition have been expanded for more clarity. The chapter on anomalies and the Schwinger model has been completely rewritten for better logical clarity. Two new chapters have been added at the request of students and faculty worldwide. The first describes Schwinger's proper time method with simple examples both at zero and at finite temperature while the second develops the idea of zeta function regularization with simple examples.This latest edition is a comprehensive and much expanded version of the original text.







Library Journal


Book Description




Path Integrals and Quantum Anomalies


Book Description

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.