0 Background.- 1 Fundamental Concepts.- 2 The Degree of a Map.- 3 The Fundamental Group and Covering Spaces.- 4 Manifolds.- 5 Differential Forms and Homology in Euclidean Space.- 6 Homology and Cohomology.- 7 Homotopy Classification of Maps of the Sphere.- 8 Homotopy Groups.- 9 Fibered Spaces.- 10 Fibrations and Homotopy Groups.- 11 Homotopy Theory of Fibrations.- 12 Lie Groups.- 13 Lie Algebras.- 14 Topology of Lie Groups and Homogeneous Manifolds.- 15 Geometry of Gauge Fields.- Index of Notation.

This book assembles human stories about physicists and mathematicians. Remarkably, these stories cluster around some general themes having to do with the interaction between scientists, and with the impact of historic events such as the advent of fascism and communism in the twentieth century - on scientists' behavior. Briefly, but lucidly, some of the beautiful science that brought these scientists together in the first place is explained

"In Quantum Dialogue, Mara Beller shows that science is rooted not just in conversation but in disagreement, doubt, and uncertainty. She argues that it is precisely this culture of dialogue and controversy within the scientific community that fuels creativity." "Beller begins with the emergence of Heisenberg's uncertainty principle, Born's probabilistic interpretation, and Bohr's complementarity principle, demonstrating how theoretical concerns, experiment, logic, emotions, and ambitions all play a crucial role in the emergence of novelty. From there she proceeds to construct a radical new reading of the history of the quantum revolution, especially the development of the Copenhagen interpretation."--Jacket.

In 1945, Dr. Ernst Weber founded, and was the first Director of, the Microwave Research Institute (MRI) at POLYTECHNIC UNIVERSITY (at that time named the Polytechnic Institute of Brooklyn). MRI gained world-wide recognition in the 50's and 60's for its research in electromagnetic theory, antennas and radiation, network theory and microwave networks, microwave components and devices. It was also known through its series of topical symposia and the widely distributed hard bound MRI Symposium Proceedings. Rededicated as the Weber Research Institute (WRI) in 1986, the research focus today is on such areas as electromagnetic propagation and antennas, ultra broadband electromagnetics, pulse power, acoustics, gaseous electronics, plasma physics, solid state materials, quantum electronics, electromagnetic launchers, and networks. Following the MRI tradition, WRI has launched its own series of in-depth topical conferences with published proceedings. The first conference was held in October, 1990 and was entitled Directions in Electromagnetic Wave Modeling. The proceedings of the conference were published under that title by Plenum Press. This volume constitutes the Proceedings of the second WRI International Conference dealing with Ultra·Wideband Short·Pulse Electromagnetics.

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

see attached] This second edition of {it Representation Theory and Complex Geometry} provides an overview of significant advances in representation theory from a geometric standpoint. A geometrically-oriented treatment has long been desired, especially since the discovery of { l D}-modules in the early '80s and the quiver approach to quantum groups in the early '90s. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. Thus, Chapters 1-3 and 5-6 provide some basics in symplectic geometry, Borel--Moore homology, the geometry of semisimple groups, equivariant algebraic K-theory "from scratch," and the topology and algebraic geometry of flag varieties and conjugacy classes, respectively. The material covered by Chapters 5 and 6, as well as most of Chapter 3, has never been presented in book form. Chapters 3-4 and 7-8 present a uniform approach to representation theory of three quite different Weyl groups, Lie algebra sln, and the Iwahori--Hecke algebra. The results of Chapters 4 and 8, with complete proofs are not to be found elsewhere in the literature. This second edition contains substantial updates and revisions to include more standard classical results in chapters 2, 3, 5, and 6 as well as two new chapters. Chapter 9 treats the applications of { l D}-modules to Lie groups, and includes the study of * Differential operators on a semisimple group and on its flag manifold; * the famous Beilinson--Bernstein Localization Theorem reducing the study of {it g}-modules to that of { l D} modules; * the so-called Harish--Chandra holonomic system. Chapter 10 isdevoted to some very exciting developments connecting the representations of quantum groups to the geometry of "quiver varieties," introduced by Lusztig and Nakajima. The subject is closely related to many other important topics such as the McKay correspondence, semismall resolutions and Hilbert schemes. Overall, this chapter puts the representation theory of Kac--Moody algebras and quantum groups in this broader context. The exposition is practically self-contained with each chapter potentially serving as a basis for a graduate course or seminar. An excellent glossary of notation, comprehensive bibliography and extensive index round out this new edition. The techniques developed here play an essential role in the development of the Langlands program and can be successfully applied to representation theory, quantum groups and quantum field theory, affine Lie algebras, algebraic geometry, and mathematical physics.

Physics

Memoirs of a Physicist in the Atomic Age Elsasser, Walter M.

Relativity: A Richer Truth is a book written by Philipp Frank that explores the fundamental principles of Albert Einstein's theory of relativity. The book is a comprehensive guide that delves into the history and development of the theory, explaining the complex concepts and ideas in a clear and concise manner.The book is divided into two parts, with the first part focusing on the historical background of relativity and the second part delving into the mathematical and physical principles that underlie the theory. The author provides a detailed account of Einstein's life and work, tracing the evolution of his ideas and the scientific and philosophical debates that surrounded them.The second part of the book explores the mathematical and physical principles that form the foundation of relativity. The author explains the concepts of space-time, the equivalence principle, and the nature of gravity, among others, in a way that is accessible to readers with no prior knowledge of physics.In addition to providing a clear and comprehensive introduction to relativity, the book also highlights the broader implications of the theory for our understanding of the universe and our place within it. The author discusses the philosophical and cultural implications of relativity, exploring its impact on our concepts of time, space, and reality.Overall, Relativity: A Richer Truth is an engaging and informative book that offers readers a deeper understanding of one of the most important scientific theories of the modern era. It is a must-read for anyone interested in the history of science, physics, or the philosophical implications of relativity.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

From the reviews: “The first volume is devoted to ergodic theory and dynamical systems. It contains 19 papers divided into four groups ... . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

It has often been claimed that without drastic conceptual innovations a genuine explanation of quantum interference effects and quantum randomness is impossible. This book concerns Bohmian mechanics, a simple particle theory that is a counterexample to such claims. The gentle introduction and other contributions collected here show how the phenomena of non-relativistic quantum mechanics, from Heisenberg's uncertainty principle to non-commuting observables, emerge from the Bohmian motion of particles, the natural particle motion associated with Schrödinger's equation. This book will be of value to all students and researchers in physics with an interest in the meaning of quantum theory as well as to philosophers of science.

In this monograph, the authors propose a systematic and rigorous treatment of electromagnetic field representations in complex structures. The architecture suggested in this book accommodates use of different numerical methods as well as alternative Green's function representations in each of the subdomains resulting from a partitioning of the overall problem. The subdomains are regions of space where electromagnetic energy is stored and are described in terms of equivalent circuit representations based either on lumped element circuits or on transmission lines. Connection networks connect the subcircuits representing the subdomains. The connection networks are lossless, don't store energy and represent the overall problem topology. This is similar to what is done in circuit theory and permits a phrasing of the solution of EM field problems in complex structures by Network-oriented methods.

David Lasser stands as one of the least-known but extraordinary pioneers of spaceflight. In 1930 he founded the American Interplanetary Society (AIAA) -- the same year he wrote this book -- the first book ever written in the English language to address the notion of spaceflight as a serious possibility. The book has not been in print since 1931 and yet it still stands up to scrutiny. The lucid style with which Lasser explains the basic concepts of rocketry make it a delight for anyone to read.

Fundamentals of Electrodynamics is primarily a textbook for graduate students in physics. It is also a valuable at the senior level and as a profession reference book. It will be especially welcome to graduate students planning to do their doctoral research in quantum field theory or elementary particle physics. Fundamentals of Electrodynamics is a textbook for a one or two semester graduate or senior level course in electrodynamics or electromagnetic theory. It seeks to unify classical electrodynamics by using hamilton's principles and the symmetry properties of space and time as basic assumtions. For this reason special relativity is introduced much earlier than in most other texts. With this approach one is able to reduce the number of assumptions to a relatively fe that support the entire subject; in particular, from such basic assumptions, both the relativistic equations of motion for particles and Maxwell's equations for the electrodynamic field are derived. The text is broad in scope and covers, in addition to basic theory, applications to radiation theory, self-force of an electron, natural breadth of spectral lines, geometric optics, electrodynamics of material media, and propagation in moving media. The book contains worked-out examples with sample problems at the end of each chapter. Mathematical appendixes are included and the book is largely self-contained. This textbook conveys the unified nature of electrodynamics and points out, not only the beauty but also the limitations of the theory. The limitations are shown to rise from basic defects in the fundamental assumptions of the theory. The authors present analyses of the logical foundations of classical electrodynamics so that the student can better understand the problems that arise in modern theories, such as quantum electrodynamics. Also, by examining the nature of basic assumption and limits of applicability of a well-developed theory, the authors prepare the student for more difficult theories in elementary particle physics or quantum field theories.

Complexity science affords a number of novel tools for examining terrorism, particularly network analysis and NK-Boolean fitness landscapes as well as other tools drawn from non-linear dynamical systems modeling. This book follows the methodologies of compex adaptive systems research in their application to aaddressing the problems of terrorism, specifically terrorist networks, their structure and various methods of mapping and interdicting them as well as exploring the complex landscape of network-centric and irregular warfare.