The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new results on its large order asymptotics. Furthermore, constructive field theory has reached one of its major goals, the mathematically rigorous construction of some renormalizable quantum field theories. For these models one can in particular investigate rigorously the phenomenon of asymptotic freedom, which plays a key role in our current understanding of the interaction among elementary particles. However, until this book, there has been no pedagogical synthesis of these new developments. Vincent Rivasseau, who has been actively involved in them, now describes them for a wider audience. There are, in fact, common concepts at the heart of the progress on perturbative and constructive techniques. Exploiting these similarities, the author uses perturbative renormalization, which is the more widely known and conceptually simpler of the two cases, to explain the less familiar but more mathematically meaningful constructive renormalization. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms.

New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book. Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications.

"Wave Scattering by Time-Dependent Perturbations" is destined to become a classic in this rapidly evolving area of inquiry

This book deals with the ear as an acoustic instrument: as a piece of physical apparatus functioning for the reception of sounds from the outside, for conveying them inward to the auditory sense cells, and finally for producing a mechanical stimulation of these cells. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Der Band beschreibt die Entstehung, Ausbreitung, Abstrahlung und Messung von Korperschall - wichtige Themen fur die Larmminderung bei Maschinen oder Gebauden, aber auch bei der Messung mechanischer Materialdaten. In der 3. Auflage wurde der Band erneuert mit dem Ziel, den Geist des ursprunglichen Werks (Lothar Cremer/Manfred Heckl) zu bewahren und es zugleich an den aktuellen Wissensstand anzupassen. So fuhrt das erste Kapitel jetzt in den Korperschall und die physikalischen Prinzipien ein, der Messtechnik ist ein eigener Abschnitt gewidmet."

Este libro pone a disposiciA3n del lector de habla hispana un tratamiento distinto y original de los temas fundamentales de la IngenierA-a AcAstica. El libro contiene los fundamentos cientA-ficos de las tA(c)cnicas utilizadas para lograr un ambiente acAstico menos contaminado. La mayorA-a de los capA-tulos consideran, directa o indirectamente, el problema de cA3mo reducir los niveles de ruido. Se ha puesto especial atenciA3n en los principios fundamentales y en la comprensiA3n de los fenA3menos fA-sicos involucrados en las distintas problemAticas de la IngenierA-a AcAstica. El texto estA orientado tanto a estudiantes y docentes de nivel universitario, como a ingenieros de distintas especialidades interesados en este importante tema.

Dieses Lehrbuch bietet eine umfassende Einfuhrung in die moderne Technische Akustik. Es wendet sich an Studierende der Ingenieurwissenschaften und der Physik sowie an Ingenieure und Naturwissenschaftler, die bereits in der Praxis tatig sind.

Behandelt werden: Schallentstehung und Schallausbreitung in Gasen, Flussigkeiten und elastischen Festkorpern - Wellengleichungen in linearer und nicht-linearer Form - Elektromechanische Analogien und ihre Anwendung - Schallsender und Schallempfanger fur Hor- und Ultraschall - Raum- und Bauakustik - Akustische Messtechnik - Wasserschall (Hydroakustik) - Ultraschall (Erzeugung, Detektion und Anwendung) - Physiologische und psychologische Akustik - Methoden der Schallaufzeichnung - Schallerzeugung durch Stromung (Aeroakustik) - Experimentelle und numerische Verfahren der Aeroakustik - Entstehung und Vermeidung von Larm.

Weiterhin werden die Methoden der Numerischen Akustik (Computational Acoustics) vorgestellt und eingehend besprochen: insbesondere Finite-Elemente- und Boundary-Elemente-Methoden (FEM bzw. BEM) fur die Berechnung von Schallfeldern und elektroakustischen Wandlern.

Abschliessend diskutieren die Autoren aktuelle Forschungsprojekte aus dem Bereich der Technischen Akustik. "

Elektromechanische Systeme aus elektrischen, mechanischen und akustischen Teilsystemen spielen fur den Prazisionsgeratebau, die Sensor- und Aktortechnik, die Elektroakustik und die Medizintechnik eine bedeutende Rolle. Die Autoren vermitteln ihren Lesern eine anschauliche, ingenieurmassige Entwurfsmethode fur diese Systeme auf der Grundlage einer schaltungstechnischen Darstellung. Fur die 2. Auflage wurde die Netzwerkbeschreibungsmethodik auf finite Netzwerkelemente und die Kombination mit der Finite-Elemente-Beschreibung erweitert."

A complete survey of modern design and analysis techniques for optical waveguides

This volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study. This comprehensive presentation includes:

• An extensive and exhaustive list of mathematical manipulations
• Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM)
• Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software
• Solutions to Maxwell’s equations and the Schrödinger equation

The authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format.

Published here in the original German and French, along with an English translation, the correspondence between Albert Einstein and Elie Cartan includes letters written between 1929 and 1932, after which time Einstein abandoned his unified field theory based on absolute parallelism. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Sprachtechnologie in der Anwendung" wurde von Praktikern fur Praktiker geschrieben. Das Buch fuhrt ein in die Technologien zur Sprachverarbeitung und informiert uber den Stand der Technik von Sprachdialogsystemen. Es unterstutzt die Entscheidungsfindung und Vorbereitung bei der Einfuhrung eines Sprachportals, hilft bei der Auswahl der richtigen Systeme und der Vermeidung von Stolpersteinen.

Durch seine klare Sprache, die zahlreichen Praxisbeispiele und das ausfuhrliche Glossar schlagt das Buch eine Brucke zwischen Entscheidern und Technologen im Unternehmen. Es wendet sich sowohl an Manager, die uber die Einfuhrung von Sprachportalen entscheiden, als auch IT-Fachleute, die diese umsetzen. Betreiber von Sprachportalen unterstutzt es bei der Bewertung bestehender Anwendungen und gibt Hinweise zu deren Optimierung."

This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields.

Originally published in 1986.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Praktische Probleme der Maschinenakustik sind komplex. Aus diesem Grund wird im vorliegenden Buch vorrangig die indirekte Kette der Schallabstrahlung behandelt. Es werden Berechnungsgleichungen, akustische Messverfahren und konstruktive Massnahmen zur Reduzierung der indirekten Abstrahlung von Gerauschen vorgestellt. Ausgehend von den im Inneren einer Maschine wirkenden dynamischen Kraften werden die Anregung von Korperschall und dessen Abstrahlung von der Oberflache der Maschine behandelt."

Published here in the original German and French, along with an English translation, the correspondence between Albert Einstein and Elie Cartan includes letters written between 1929 and 1932, after which time Einstein abandoned his unified field theory based on absolute parallelism. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

This book offers a readable narrative of the science and technology of early radio combined with sociological and economic analysis of how radio changed our lives Originally published in 1985. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

#1 "NEW YORK TIMES" BESTSELLER
When and how did the universe begin? Why are we here? What is the nature of reality? Is the apparent "grand design" of our universe evidence of a benevolent creator who set things in motion--or does science offer another explanation? In this startling and lavishly illustrated book, Stephen Hawking and Leonard Mlodinow present the most recent scientific thinking about these and other abiding mysteries of the universe, in nontechnical language marked by brilliance and simplicity.
According to quantum theory, the cosmos does not have just a single existence or history. The authors explain that we ourselves are the product of quantum fluctuations in the early universe, and show how quantum theory predicts the "multiverse"--the idea that ours is just one of many universes that appeared spontaneously out of nothing, each with different laws of nature. They conclude with a riveting assessment of M-theory, an explanation of the laws governing our universe that is currently the "only" viable candidate for a "theory of everything" the unified theory that Einstein was looking for, which, if confirmed, would represent the ultimate triumph of human reason.

An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook.
Throughout the book, material has also been added on recent developments, including stability theory, the frame radius, and applications to signal analysis and the control of partial differential equations.

Dieses Buch wendet sich an Konstrukteure, Wissenschaftler und fortgeschrittene Studenten des Maschinenbaus. Neben den physikalischen, maschinenakustischen und messtechnischen Grundlagen sowie den mathematischen Methoden liegen die Schwerpunkte auf neuesten Erkenntnissen und Verfahren in diesem Fachgebiet, die das Buch zu einer einzigartigen und wertvollen Informationsquelle machen: - Numerische Berechnungsverfahren, Finite Elemente bei Koerperschall, Randelemente fur Abstrahlung - Abschatzverfahren fur Koerperschall- und Abstrahlmass - Konstruktive Massnahmen zur aktiven Larmminderung Die zweite neu bearbeitete Auflage tragt der rasanten Entwicklung im Bereich der numerischen Verfahren Rechnung.