Fundamentals of Remote Sensing

Size: px
Start display at page:

Download "Fundamentals of Remote Sensing"

Transcription

1

2 Erwin Schanda Physical Fundamentals of Remote Sensing With 102 Figures and 14 Tables Springer -Verlag Berlin Heidelberg New York Tokyo

3 Professor Dr. ERWIN SCHANDA University of Bern Institute of Applied Physics SidlerstraBe Bern, Switzerland ISBN-13: e~isbn-13: DOl: / Libray of Congress Cataloging-in-Publication Data. Schanda, Erwin. Physical fundamentals of remote sensing. Includes index. 1. Remote sensing I. Title. G70.4.S ' This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under 54 of the German Copyright Law where copies are made for other than private use a fee is payable to 'Verwertungsgesellschaft Wort', Munich. by Springer-Verlag Berlin Heidelberg 1986 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: K + V Fotosatz GmbH, Beerfelden 2132/

4 Preface Ten years ago the author, together with eight co-authors, edited a textbook Remote Sensing for Environmental Sciences within the series on Ecological Studies of Springer-Verlag. At that time there were not yet many books available on remote sensing. The decade that has elapsed was marked by a spectacular development in this field. This development took place in many directions: by widening the areas of application, by improvements of the methods and the sensors, by the introduction of new versatile platforms, but also by deepening the knowledge of the theoretical foundations. This evolution improved the ability to explain the interaction between electromagnetic radiation and natural objects, which, in its turn, allowed for better modelization and for the creation of refined mathematical tools in the processing of remotely sensed data and in the determination of the physical status of remote objects. The community of research workers engaged in development and use of remote sensing methods changed accordingly from a modest group of scientists in the early 1970's to a considerable branch of specialized and interdisciplinary activity. The training of students had to be adapted to cope with the increasing number of people entering this new field and with the increasing quality of the material to be presented. At present scientists exchange their results at many international conferences each year, and the annual production of publications in various related scientific journals amounts to several thousands of pages in addition to the growing number of monographs and manuals. One could ask for what purpose should one publish another book? According to the author's experience, however, there is a serious neglect of systematic study and education about important physical fundamentals. The present text is the result of the author's graduate course as it evolved during the last 6 years. This subject, under the title Physikalische Grundlagen der Fernerkundung fur Naturwissenschaftler was presented as a course for the first time during the summer term of 1979 at the University of Bern, Switzerland. The material was considerably supplemented and arranged in a shape very much like the present text when the lectures were presented at the Universite Paul Sabatier, Toulouse, France, during the academic years 1982/83

5 VI Preface and 1983/84 under the title Interaction du rayonnement electromagnetique et des milieux naturels. Within the limits ofthe present volume, no complete treatment of all significant physical fundamentals of remote sensing is possible. Therefore, topics were selected which are, according to the personal judgement and taste of the author, most important for the comprehension of physical relationships relevant in the methods of remote sensing and their applications to the environment. However, neither mathematical methods, such as, for example for data and image processing, nor the environmental phenomena and processes were intended to be treated within this text. The material is arranged in 15 sections (5 chapters containing 3 sections each), approximately corresponding to a course of 15 lectures. A didactic development from very basic relations at the beginning to a rather demanding level in the last sections has been striven for. This text, as well as the lectures from which it was derived, is intended primarily for graduate students of natural sciences, for research workers in environmental sciences, and for remote sensing practitioners. The increasing degree of difficulty in the physical concepts, as well as in the mathematical methods, may cause readers of differing background knowledge to skip the one or the other section which is of less significance to their specific interest. In most cases it will be possible to continue at a subsequent chapter because in the more advanced chapters reference is only made to those of the previous sections which are related to and needed for the topic under discussion. Students of physics are expected to know most of the essentials of this text; however, it can serve to become aware which areas of physics may be relevant for use in remote sensing. It was not the author's intention to present the newest methods of remote sensing, either to discuss the most recent details of technical developments of sensor systems and space platforms, or to describe many observational results in a phenomenological way as it is done in many texts on remote sensing. However, it is his hope to rouse the appreciation and understanding of the physical background and to create a consciousness of the importance of the interaction of electromagnetic radiation with matter for optimum use of remote sensing. Finally, it is with great pleasure and gratitude that the author wishes to acknowledge the considerable share of a number of persons in the realization of this textbook. In the first place, I should like to thank Francis Cambou and Thuy Le Toan for the opportunity of a 6- month stay at the Centre d'etude Spatiale des Rayonnements, Universite Paul Sabatier, Toulouse, during a sabbatical semester There, for the first time, I had the opportunity to arrange and

6 Preface VII present these lectures in essentially their present form. The following colleagues at various institutions abroad helped considerably to improve the presentation and, in particular, to correct the language of different parts in this text (in alphabetical order): J. A. Kong, Massachusetts Institute of Technology R. W. Larson, Environmental Research Institute of Michigan R. K. Moore, University of Kansas P. W. Rosenkranz, Massachusetts Institute of Technology F. T. Ulaby, University of Michigan D. Walshaw, University of Oxford E. R. Westwater, U.S. National Oceanic and Atmospheric Administration Several of my colleagues at the University of Bern provided me with very valuable comments and suggestions, which helped to improve many formulations: Th. Binkert, D.A. Deranleau, R. Keese, K. Kiinzi, C. Matzler. A large portion of the figures were drawn with great care, and many others were adapted for printing, by Mr. J. Bronnimann. By far the heaviest workload, however, has been carried by the secretaries of the Institute of Applied Physics, Bern, Mrs. M. Swain, Mrs. K. Gutknecht, and Mrs. B. Schweingruber, in typing, correcting and retyping the manuscript. I also wish to thank the publishing company, Springer-Verlag, for valuable advice and efficient co-operation. Last, but not least, my warmest thanks are due to my family for the patience during the time with the burden of additional work. ERWIN SCHANDA

7 Contents 1 Some Basic Relations Natural Parameters and Observables Propagation of Electromagnetic Waves Waves at Boundaries Between Different Media 22 2 Spectral Lines of Atmospheric Gases Resonant Frequencies of Molecules Widths of Spectral Lines Applications to the Earth's Atmosphere Spectral Properties of Condensed Matter Elementary Theory of Organic Dyes Chlorophyll and Spectral Properties of Plants Polarization of the Media and Dispersion of Radiation 83 4 Scattering of Radiation Light Scattering by Molecules Scattering of Radiation by Macroscopic Particles Backscattering from Rough Surfaces Transport of Radiation The Equation of Radiative Transfer Kirchhoff's Law and Radiometry Radiometric Observation of Atmospheric Parameters and the Inversion of Remotely Sensed Data 157 References. 176 Subject Index 181

Minoru Ozima. Geohistory. Global Evolution of the Earth. English by Judy Wakabayashi. Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

Minoru Ozima. Geohistory. Global Evolution of the Earth. English by Judy Wakabayashi. Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Minoru Ozima Geohistory Global Evolution of the Earth English by Judy Wakabayashi Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Professor Dr. MINORU OZIMA Geophysical Institute University

More information

Proceedings in Life Sciences

Proceedings in Life Sciences Proceedings in Life Sciences Supramolecular Structure and Function Edited by Greta Pifat-Mrzljak With 86 Figures Springer-Verlag Berlin Heidelberg New York Tokyo Dr. GRETA PIFAT-MRZLJAK Ruder Boskovic

More information

Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo

Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo J. M. RUeger Electronic Distance Measurement An Introduction Fourth Edition With 56 Figures

More information

Lecture Notes in Physics

Lecture Notes in Physics Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, M(Jnchen, K. Hepp, Z~rich R. Kippenhahn, MLinchen, H. A. Weidenmeller, Heidelberg and J. Zittartz, K61n 190 Karl Kraus States, Effects, and

More information

Preparative Chromatography Techniques

Preparative Chromatography Techniques K. Hostettmann, M. Hostettmann, A. Marston Preparative Chromatography Techniques Applications in Natural Product Isolation With 51 Figures and 18 Tables Springer-Verlag Berlin Heidelberg GmbH Professor

More information

Two -Dimensional Digital Signal Processing II

Two -Dimensional Digital Signal Processing II Two -Dimensional Digital Signal Processing II Transforms and Median Filters Edited by T. S. Huang With Contributions by J.-O. Eklundh T.S. Huang B.I. Justusson H. J. Nussbaumer S.G. Tyan S. Zohar With

More information

Springer Series in Solid-State Sciences. Edited by Peter Fulde

Springer Series in Solid-State Sciences. Edited by Peter Fulde 7 Springer Series in Solid-State Sciences Edited by Peter Fulde Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde H.-J. Queisser Volume 1 Principles of Magnetic Resonance By C. P. Slichter

More information

Springer Series on Atomic, Optical, and Plasma Physics

Springer Series on Atomic, Optical, and Plasma Physics Springer Series on Atomic, Optical, and Plasma Physics Volume 51 Editor-in-chief Gordon W. F. Drake, Department of Physics, University of Windsor, Windsor, ON, Canada Series editors James Babb, Harvard-Smithsonian

More information

The Handbook of Environmental Chemistry

The Handbook of Environmental Chemistry The Handbook of Environmental Chemistry Volume 3 Part D Edited by 0. Hutzinger Anthropogenic Compounds With Contributions by R. F. Addison, A. B. McKague, A. Larsson, D. J. McLeay, P. E. Ney, G. A. Parker,

More information

Topics in Applied Physics Volume 1. Founded by Helmut K. V. Lotsch

Topics in Applied Physics Volume 1. Founded by Helmut K. V. Lotsch Topics in Applied Physics Volume 1 Founded by Helmut K. V. Lotsch Dye Lasers Edited by F. P. Schafer With Contributions by K. H. Drexhage T. W. Hansch E. P. lppen F. P. Schafer C. V. Shank B. B. Snavely

More information

UV-VIS Spectroscopy and Its Applications

UV-VIS Spectroscopy and Its Applications SPRINGER LABORATORY Heinz-Helmut Perkampus UV-VIS Spectroscopy and Its Applications Translated by H. Charlotte Grinter and Dr. T. L. Threlfall With 78 Figures and 21 Tables Springer -Ver lag Berlin Heidelberg

More information

Progress in Molecular and Subcellular Biology 9

Progress in Molecular and Subcellular Biology 9 Progress in Molecular and Subcellular Biology 9 Progress 9 in Molecular and Subcellular Biology With Contributions by M. Bachmann, C. Brunei, P. Jeanteur R. Messer, W. E. G. MUlier, R. E. Rhoads H. C.

More information

Introduction to the Theory and Application of the Laplace Transformation

Introduction to the Theory and Application of the Laplace Transformation Gustav Doetsch Introduction to the Theory and Application of the Laplace Transformation With 51 Figures and a Table of Laplace Transforms Translation by Walter Nader Springer-Verlag Berlin Heidelberg New

More information

Sampling Theory for Forest Inventory

Sampling Theory for Forest Inventory Pieter G. de Vries Sampling Theory for Forest Inventory A Teach-Yourself Course With 20 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo PIETER G. DE VRIES Dept. of Forest Management

More information

7 Edited by Peter Fulde. Springer Series in Solid-State Sciences

7 Edited by Peter Fulde. Springer Series in Solid-State Sciences 7 Edited by Peter Fulde Springer Series in Solid-State Sciences Springer Series in Solid-State Sciences Editors: M. Cardona P. Fulde H.-J. Queisser Volume 40 Semiconductor Physics - An Introduction By

More information

Sputtering by Particle Bombardment I

Sputtering by Particle Bombardment I Sputtering by Particle Bombardment I Physical Sputtering of Single-Element Solids Edited by R. Behrisch With Contributions by H. H. Andersen H.L. Bay R. Behrisch M. T. Robinson H.E. Roosendaal R Sigmund

More information

Landolt-Börnstein / New Series

Landolt-Börnstein / New Series Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics

More information

Lecture Notes in Physics

Lecture Notes in Physics Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZSrich R. Kippenhahn, MLinchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,

More information

Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker

Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Andre Weil was horn on May 6, 1906 in Paris. After studying mathematics at the Ecole Normale Superieure and receiving

More information

Springer-Verlag Berlin Heidelberg GmbH

Springer-Verlag Berlin Heidelberg GmbH Springer-Verlag Berlin Heidelberg GmbH Kazuhiro Arai The Economics of Education An Analysis of College-Going Behavior With 18 Figures Springer Kazuhiro Arai Professor of Economics Hitotsubashi University

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann 1238 Michael Holz Klaus-Peter Podewski Karsten Steffens Injective Choice Functions Springer-Verlag Berlin Heidelberg New York London Paris

More information

Lecture Notes in Physics

Lecture Notes in Physics Heidelberg New.York Lecture Notes in Physics Edited by J. Ehlers, Mtinchen, K. Hepp, Ztirich and H. A. Weidenmiiller, Heidelberg Managing Editor: W. Beiglback, Heidelberg 13 Michael Ryan University of

More information

Bourbaki Elements of the History of Mathematics

Bourbaki Elements of the History of Mathematics Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated

More information

Latif M. Jiji. Heat Convection. With 206 Figures and 16 Tables

Latif M. Jiji. Heat Convection. With 206 Figures and 16 Tables Heat Convection Latif M. Jiji Heat Convection With 206 Figures and 16 Tables Prof. Latif M. Jiji City University of New York School of Engineering Dept. of Mechanical Engineering Convent Avenue at 138th

More information

Nonlinear Optics. D.L.Mills. Basic Concepts. Springer-Verlag. With 32 Figures

Nonlinear Optics. D.L.Mills. Basic Concepts. Springer-Verlag. With 32 Figures Nonlinear Optics D.L.Mills Nonlinear Optics Basic Concepts With 32 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo HongKong Barcelona Budapest Professor D. L. Mills, Ph.D. Department

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and B. Eckmann, Zorich 309 David H. Sattinger University of Minnesota, Minneapolis, MN/USA Topics

More information

Editors: A. Borsellino P. Budinich G. Parisi D. W. Sciama W. Thirring E. Tosatti

Editors: A. Borsellino P. Budinich G. Parisi D. W. Sciama W. Thirring E. Tosatti Editors: A. Borsellino P. Budinich G. Parisi D. W. Sciama W. Thirring E. Tosatti Ivan T. Todorov Conformal Description of Spinning Particles Springer-Verlag Berlin Heidelberg New York London Paris Tokyo

More information

LANDOLT-BORNSTEIN. Numerical Data and Functional Relationships in Science and Technology. New Series. Editors in Chief: K.-H. Hellwege -0.

LANDOLT-BORNSTEIN. Numerical Data and Functional Relationships in Science and Technology. New Series. Editors in Chief: K.-H. Hellwege -0. LANDOLT-BORNSTEIN Numerical Data and Functional Relationships in Science and Technology New Series Editors in Chief: K.-H. Hellwege -0. Madelung Group V: Geophysics and Space Research Volume 4 Meteorology

More information

Doubt-Free Uncertainty In Measurement

Doubt-Free Uncertainty In Measurement Doubt-Free Uncertainty In Measurement Colin Ratcliffe Bridget Ratcliffe Doubt-Free Uncertainty In Measurement An Introduction for Engineers and Students Colin Ratcliffe United States Naval Academy Annapolis

More information

Torge Geodesy. Unauthenticated Download Date 1/9/18 5:16 AM

Torge Geodesy. Unauthenticated Download Date 1/9/18 5:16 AM Torge Geodesy Wolfgang Torge Geodesy Second Edition W DE G Walter de Gruyter Berlin New York 1991 Author Wolfgang Torge, Univ. Prof. Dr.-Ing. Institut für Erdmessung Universität Hannover Nienburger Strasse

More information

MCBU Molecular and Cell Biology Updates

MCBU Molecular and Cell Biology Updates MCBU Molecular and Cell Biology Updates Series Editors: Prof. Dr. Angelo Azzi Institut fur Biochemie und Molekularbiologie BOhlstr.28 CH-3012 Bern Switzerland Prof. Dr. Lester Packer Dept. of Molecular

More information

Dynamics Formulas and Problems

Dynamics Formulas and Problems Dynamics Formulas and Problems Dietmar Gross Wolfgang Ehlers Peter Wriggers Jörg Schröder Ralf Müller Dynamics Formulas and Problems Engineering Mechanics 3 123 Dietmar Gross Division of Solid Mechanics

More information

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris

Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Lecture Notes in Mathematics 1915 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Türker Bıyıkoğlu Josef Leydold Peter F. Stadler Laplacian Eigenvectors of Graphs Perron-Frobenius

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 766 Tammo tom Dieck Transformation Groups and Representation Theory Springer-Verlag Berlin Heidelberg New York 1979 Author T. tom Dieck Mathematisches

More information

Günter Zschornack Handbook of X-Ray Data

Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data With 113 Figures and 161 Tables 123 Ass.-Prof. Dr. rer. nat. habil. Günter Zschornack Technische Universität Dresden Institut

More information

Nuclear Magnetic Resonance Data

Nuclear Magnetic Resonance Data Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data

More information

Environmental Physiology and Biochemistry. of Insects. Edited by Klaus H. Hoffmann. With 78 Figures

Environmental Physiology and Biochemistry. of Insects. Edited by Klaus H. Hoffmann. With 78 Figures Environmental Physiology and Biochemistry of Insects Edited by Klaus H. Hoffmann With 78 Figures Springer-Verlag Berlin Heidelberg New York Tokyo 1985 Professor Dr. KLAUS H. HOFFMANN Allgemeine Zoologie

More information

Initial Boundary Value Problems in Mathematical Physics

Initial Boundary Value Problems in Mathematical Physics Initial Boundary Value Problems in Mathematical Physics Initial Boundary Value Problems in Mathematical Physics Rolf leis University of Bonn Federal Republic of Germany Springer Fachmedien Wiesbaden GmbH

More information

Theoretical Physics 4

Theoretical Physics 4 Theoretical Physics 4 Wolfgang Nolting Theoretical Physics 4 Special Theory of Relativity 123 Wolfgang Nolting Inst. Physik Humboldt-UniversitRat zu Berlin Berlin, Germany ISBN 978-3-319-44370-6 ISBN 978-3-319-44371-3

More information

Nuclear Magnetic Resonance Data

Nuclear Magnetic Resonance Data Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data

More information

Circuit Analysis for Power Engineering Handbook

Circuit Analysis for Power Engineering Handbook Circuit Analysis for Power Engineering Handbook Circuit Analysis for Power Engineering Handbook Arieh L. Shenkman SPRINGER SCIENCE+BUSINESS MEDIA, B.V A c.i.p. Catalogue record for this book is available

More information

Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.

Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group VIII: Advanced Materials and Technologies Volume 6 Polymers Subvolume

More information

1000 Solved Problems in Classical Physics

1000 Solved Problems in Classical Physics 1000 Solved Problems in Classical Physics Ahmad A. Kamal 1000 Solved Problems in Classical Physics An Exercise Book 123 Dr. Ahmad A. Kamal Silversprings Lane 425 75094 Murphy Texas USA anwarakamal@yahoo.com

More information

Topics in Boundary Element

Topics in Boundary Element Topics in Boundary Element Research Edited by C. A. Brebbia Volume 7 Electrical Engineering Applications With 186 Figures and 11 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong

More information

Reactivity and Structure Concepts in Organic Chemistry

Reactivity and Structure Concepts in Organic Chemistry Reactivity and Structure Concepts in Organic Chemistry Volume T1 Editors: Klaus Hafner Charles W Rees Barry M. Trost Jean-Marie Lehn P. von Rague Schleyer Rudolf Zahradnik Steven V. Ley Caroline M. R.

More information

UNITEXT La Matematica per il 3+2. Volume 87

UNITEXT La Matematica per il 3+2. Volume 87 UNITEXT La Matematica per il 3+2 Volume 87 More information about this series at http://www.springer.com/series/5418 Sandro Salsa Gianmaria Verzini Partial Differential Equations in Action Complements

More information

Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition

Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr.-Ing., Dr.-Ing.

More information

Topics in Algebra and Analysis

Topics in Algebra and Analysis Radmila Bulajich Manfrino José Antonio Gómez Ortega Rogelio Valdez Delgado Topics in Algebra and Analysis Preparing for the Mathematical Olympiad Radmila Bulajich Manfrino Facultad de Ciencias Universidad

More information

Lecture Notes in Physics

Lecture Notes in Physics Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZUrich R. Kippenhahn, ML~nchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,

More information

Landolt-Börnstein / New Series

Landolt-Börnstein / New Series Landolt-Börnstein / New Series Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Singapore Tokyo Landolt-Börnstein Numerical Data and Functional Relationships in Science

More information

Semantics of the Probabilistic Typed Lambda Calculus

Semantics of the Probabilistic Typed Lambda Calculus Semantics of the Probabilistic Typed Lambda Calculus Dirk Draheim Semantics of the Probabilistic Typed Lambda Calculus Markov Chain Semantics, Termination Behavior, and Denotational Semantics Dirk Draheim

More information

Nonlinear Dynamical Systems in Engineering

Nonlinear Dynamical Systems in Engineering Nonlinear Dynamical Systems in Engineering . Vasile Marinca Nicolae Herisanu Nonlinear Dynamical Systems in Engineering Some Approximate Approaches Vasile Marinca Politehnica University of Timisoara Department

More information

Data Analysis Using the Method of Least Squares

Data Analysis Using the Method of Least Squares Data Analysis Using the Method of Least Squares J. Wolberg Data Analysis Using the Method of Least Squares Extracting the Most Information from Experiments With Figures and Tables 123 John Wolberg Technion-Israel

More information

Differential Scanning Calorimetry

Differential Scanning Calorimetry Differential Scanning Calorimetry Springer-Verlag Berlin Heidelberg GmbH G. W. H. H6hne. W. F. Hemminger H.-J. Flammersheim Differential Scanning Ca lori metry 2nd revised and enlarged edition With 130

More information

Particle Acceleration and Detection

Particle Acceleration and Detection Particle Acceleration and Detection Series Editors Alexander Chao SLAC Menlo Park, CA USA Frank Zimmermann CERN SL-Division AP Group Genève Switzerland Katsunobu Oide KEK High Energy Accelerator Research

More information

Minerals and Rocks. Editor in Chief P.l.Wyllie, Chicago, IL Editors A.EI Goresy, Heidelberg W von Engelhardt, Tlibingen. T.

Minerals and Rocks. Editor in Chief P.l.Wyllie, Chicago, IL Editors A.EI Goresy, Heidelberg W von Engelhardt, Tlibingen. T. Minerals and Rocks 18 Editor in Chief P.l.Wyllie, Chicago, IL Editors A.EI Goresy, Heidelberg W von Engelhardt, Tlibingen. T. Hahn, Aachen G. Gottardi E. Galli Natural Zeolites With 218 Figures Springer-Verlag

More information

Egon Krause. Fluid Mechanics

Egon Krause. Fluid Mechanics Egon Krause Fluid Mechanics Egon Krause Fluid Mechanics With Problems and Solutions, and an Aerodynamic Laboratory With 607 Figures Prof. Dr. Egon Krause RWTH Aachen Aerodynamisches Institut Wüllnerstr.5-7

More information

Parameter Estimation and Hypothesis Testing in Linear Models

Parameter Estimation and Hypothesis Testing in Linear Models Parameter Estimation and Hypothesis Testing in Linear Models Springer-Verlag Berlin Heidelberg GmbH Karl-Rudolf Koch Parameter Estimation and Hypothesis Testing in Linear Models Second, updated and enlarged

More information

Advanced Calculus of a Single Variable

Advanced Calculus of a Single Variable Advanced Calculus of a Single Variable Tunc Geveci Advanced Calculus of a Single Variable 123 Tunc Geveci Department of Mathematics and Statistics San Diego State University San Diego, CA, USA ISBN 978-3-319-27806-3

More information

CISM International Centre for Mechanical Sciences

CISM International Centre for Mechanical Sciences CISM International Centre for Mechanical Sciences Courses and Lectures Volume 580 Series editors The Rectors Elisabeth Guazzelli, Marseille, France Franz G. Rammerstorfer, Vienna, Austria Wolfgang A. Wall,

More information

Probability Theory, Random Processes and Mathematical Statistics

Probability Theory, Random Processes and Mathematical Statistics Probability Theory, Random Processes and Mathematical Statistics Mathematics and Its Applications Managing Editor: M.HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume

More information

SpringerBriefs in Mathematics

SpringerBriefs in Mathematics SpringerBriefs in Mathematics Series Editors Nicola Bellomo Michele Benzi Palle E.T. Jorgensen Tatsien Li Roderick Melnik Otmar Scherzer Benjamin Steinberg Lothar Reichel Yuri Tschinkel G. George Yin Ping

More information

Springer Series in 36 Computational Mathematics

Springer Series in 36 Computational Mathematics Springer Series in 36 Computational Mathematics Editorial Board R. Bank, La Jolla, CA R.L. Graham, La Jolla, CA J. Stoer, Würzburg R. Varga, Kent, Ohio H. Yserentant, Berlin Richard S. Varga Geršgorin

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 905 Differential Geometric Methods in Mathematical Physics Clausthal 1980 Proceedings of an International Conference Held at the Technical

More information

QUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from

QUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from Quantum Mechanics Downloaded from www.worldscientific.com QUANTUM MECHANICS For Electrical Engineers Quantum Mechanics Downloaded from www.worldscientific.com This page intentionally left blank Quantum

More information

Springer Atmospheric Sciences

Springer Atmospheric Sciences Springer Atmospheric Sciences More information about this series at http://www.springer.com/series/10176 Ewa Łupikasza The Climatology of Air- Mass and Frontal Extreme Precipitation Study of meteorological

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 715 Inder Bir S. Passi Group Rings and Their Augmentation Ideals Springer-Verlag Berlin Heidelberg New York 1979 Author Inder Bir S. Passi

More information

The Handbook of Environmental Chemistry

The Handbook of Environmental Chemistry The Handbook of Environmental Chemistry Volume 5 Part A Edited by 0. Hutzinger Water Pollution With contributions by B. Allard, G. E Craun, N. T. de Oude, M. Falkenmark, H. L. Golterman, T. Lindstrom,

More information

Mathematical Formulas for Economists

Mathematical Formulas for Economists Mathematical Formulas for Economists Springer-Verlag Berlin Heidelberg GmbH Bernd Luderer. Volker Nollau Klaus Vetters Mathematical Formulas for Economists With 58 Figures and 6 Tables, Springer Professor

More information

Experimental Techniques in Nuclear and Particle Physics

Experimental Techniques in Nuclear and Particle Physics Experimental Techniques in Nuclear and Particle Physics Stefaan Tavernier Experimental Techniques in Nuclear and Particle Physics 123 Prof. Stefaan Tavernier Vrije Universiteit Brussel Fak. Wetenschappen

More information

PROGRESS IN INORGANIC CHEMISTRY. Volume 11

PROGRESS IN INORGANIC CHEMISTRY. Volume 11 PROGRESS IN INORGANIC CHEMISTRY Volume 11 Advisory Board THEODORE L. BROWX UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS JAhlES P. COLLMAK STANFORD UNIVERSITY, STANFORD, CALIFORNIA F. ALBERT COTTON M.I.T.,

More information

Classics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I

Classics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I Classics in Mathematics Lars Hormander The Analysis of Linear Partial Differential Operators I Born on January 24,1931, on the southern coast of Sweden, Lars Hormander did his secondary schooling as well..

More information

Classics in Mathematics

Classics in Mathematics Classics in Mathematics Friedrich Hirzebruch Topological Methods in Algebraic Geometry Friedrich Hirzebruch Topological Methods in Algebraic Geometry Reprint of the 1978 Edition Springer Friedrich Hirzebruch

More information

LANDOLT-BORNSTEIN. Numerical Data and Functional Relationships in Science and Technology - - New Series

LANDOLT-BORNSTEIN. Numerical Data and Functional Relationships in Science and Technology - - New Series LANDOLT-BORNSTEIN Numerical Data and Functional Relationships in Science and Technology - - New Series Editors in Chief: K.&H. Hellwege - 0. Madelung Group V: Geophysics and Space Research Volume 3 Oceanography

More information

Universitext. Series Editors:

Universitext. Series Editors: Universitext Universitext Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Vincenzo Capasso Università degli Studi di Milano, Milan, Italy Carles Casacuberta Universitat

More information

Statistical Physics of Polymers

Statistical Physics of Polymers Statistical Physics of Polymers Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive

More information

Advances in Polymer Science. Fortschritte der Hochpolymeren-Forschung

Advances in Polymer Science. Fortschritte der Hochpolymeren-Forschung 65 Advances in Polymer Science Fortschritte der Hochpolymeren-Forschung Analysis/Networks/ Peptides With Contribution by K. Bode, I. Kuriyama, J. E. Mark E Maser; M. Mutter, Y. Nakase, A. Odajima, V. N.

More information

Publication of the Museum of Nature South Tyrol Nr. 11

Publication of the Museum of Nature South Tyrol Nr. 11 Publication of the Museum of Nature South Tyrol Nr. 11 ThiS is a FM Blank Page Erika Pignatti Sandro Pignatti Plant Life of the Dolomites Vegetation Tables Erika Pignatti Sandro Pignatti Rome Italy Publication

More information

inverse problems and theoretical imaging

inverse problems and theoretical imaging inverse problems and theoretical imaging 1.M. Combes A. Grossmann Ph. Tchamitchian (Eds.) Wavelets Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France,

More information

The Origin of the Chemical Elements

The Origin of the Chemical Elements P.K Kuroda The Origin of the Chemical Elements and the Oklo Phenomenon with 24 Figures and 48 Tables Springer-Verlag Berlin Heidelberg New York 1982 Prof. Paul K Kuroda, Dept of Chemistry, Chemistry Building,

More information

Multivariable Calculus with MATLAB

Multivariable Calculus with MATLAB Multivariable Calculus with MATLAB Ronald L. Lipsman Jonathan M. Rosenberg Multivariable Calculus with MATLAB With Applications to Geometry and Physics Ronald L. Lipsman Department of Mathematics University

More information

THEORY OF MOLECULAR EXCITONS

THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS A. S. Davydov Kiev State University Kiev, USSR Translated from Russian by Stephen B. Dresner g? SPRINGER SCIENCE+BUSINESS MEDIA, LLC 1971 Aleksandr

More information

ThiS is a FM Blank Page

ThiS is a FM Blank Page Acid-Base Diagrams ThiS is a FM Blank Page Heike Kahlert Fritz Scholz Acid-Base Diagrams Heike Kahlert Fritz Scholz Institute of Biochemistry University of Greifswald Greifswald Germany English edition

More information

Fundamentals of Mass Determination

Fundamentals of Mass Determination Fundamentals of Mass Determination Michael Borys Roman Schwartz Arthur Reichmuth Roland Nater Fundamentals of Mass Determination 123 Michael Borys Fachlabor 1.41 Physikalisch-Technische Bundesanstalt Bundesallee

More information

Feynman Integral Calculus

Feynman Integral Calculus Feynman Integral Calculus Vladimir A. Smirnov Feynman Integral Calculus ABC Vladimir A. Smirnov Lomonosov Moscow State University Skobeltsyn Institute of Nuclear Physics Moscow 119992, Russia E-mail: smirnov@theory.sinp.msu.ru

More information

Ergebnisse der Mathematik und ihrer Grenzgebiete

Ergebnisse der Mathematik und ihrer Grenzgebiete Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Foige. Band 16 A Series of Modern Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette

More information

Reactivity and Structure

Reactivity and Structure Reactivity and Structure Concepts in Organic Chemistry Volume 6 Editors: Klaus Hafner Charles W Rees Barry M. Trost Jean-Marie Lehn P. von Rague Schleyer Rudolf Zahradnik M L. Bender M. Kamiyama Cyclodextrin

More information

Maximum Principles in Differential Equations

Maximum Principles in Differential Equations Maximum Principles in Differential Equations Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Murray H. Protter Hans F. Weinberger Maximum Principles in Differential

More information

Lecture Notes in Control and Information Sciences

Lecture Notes in Control and Information Sciences Lecture Notes in Control and Information Sciences Edited by A.V. Balakrishnan and M.Thoma 54 I IIIIIII IIIIIIIIII I III IIII IIII I II I Control Theory for Distributed Parameter Systems and Applications

More information

Solid Phase Microextraction

Solid Phase Microextraction Solid Phase Microextraction Gangfeng Ouyang Ruifen Jiang Editors Solid Phase Microextraction Recent Developments and Applications 123 Editors Gangfeng Ouyang School of Chemistry Sun Yat-sen University

More information

& SpringerWienNewYork

& SpringerWienNewYork & SpringerWienNewYork CISM COURSES AND LECTURES Series Editors: The Rectors Giulio Maier - Milan Jean Salen9on - Palaiseau Wilhelm Schneider - Wien The Secretary General Bemhard Schrefler - Padua Executive

More information

Latif M. Jiji. Heat Conduction. Third Edition ABC

Latif M. Jiji. Heat Conduction. Third Edition ABC Heat Conduction Latif M. Jiji Heat Conduction Third Edition ABC Professor Latif M. Jiji Department of Mechanical Engineering Grove School of Engineering The City College of The City University of New York

More information

Chemistry by Computer. An Overview of the Applications of Computers in Chemistry

Chemistry by Computer. An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Stephen Wilson Theoretical Chemistry Department

More information

Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion

Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Ye Yan Xu Huang Yueneng Yang Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion 123 Ye Yan College of Aerospace Science

More information

Lecture Notes in Control and Information Sciences

Lecture Notes in Control and Information Sciences Lecture Notes in Control and Information Sciences Edited by A.V. Balakrishnan and M.Thoma 33 Peter Dransfield Hydraulic Control Systems - Design and Analysis of Their Dynamics Springer-Verlag Berlin Heidelberg

More information

Lecture Notes in Mathematics

Lecture Notes in Mathematics Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 663 J. F. Berglund H. D. Junghenn p. Milnes Compact Right Topological Semigroups and Generalizations of Almost Periodicity Springer-Verlag

More information

Stochastic Optimization Methods

Stochastic Optimization Methods Stochastic Optimization Methods Kurt Marti Stochastic Optimization Methods With 14 Figures 4y Springer Univ. Professor Dr. sc. math. Kurt Marti Federal Armed Forces University Munich Aero-Space Engineering

More information

Non-Instantaneous Impulses in Differential Equations

Non-Instantaneous Impulses in Differential Equations Non-Instantaneous Impulses in Differential Equations Ravi Agarwal Snezhana Hristova Donal O Regan Non-Instantaneous Impulses in Differential Equations 123 Ravi Agarwal Department of Mathematics Texas A&M

More information

Tritium: Fuel of Fusion Reactors

Tritium: Fuel of Fusion Reactors Tritium: Fuel of Fusion Reactors Tetsuo Tanabe Editor Tritium: Fuel of Fusion Reactors 123 Editor Tetsuo Tanabe Interdisciplinary Graduate School of Engineering Sciences Kyushu University Fukuoka Japan

More information

TWILIGHT. Georgii Vladimirovich Rozenberg Deputy Director Institute of Physics of the Atmosphere Academy of Sciences of the USSR

TWILIGHT. Georgii Vladimirovich Rozenberg Deputy Director Institute of Physics of the Atmosphere Academy of Sciences of the USSR TWILIGHT TWILIGHT A STUDY IN ATMOSPHERIC OPTICS Georgii Vladimirovich Rozenberg Deputy Director Institute of Physics of the Atmosphere Academy of Sciences of the USSR With a Preface by J. V. Dave National

More information