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  • 1
    Monograph available for loan
    Monograph available for loan
    Milton Keynes [u.a.] : Open Univ. Pr. [u.a.]
    Call number: 5/M 92.0492
    Type of Medium: Monograph available for loan
    Pages: vii, 182 S. : Ill., graph. Darst.
    Edition: 1st publ.
    ISBN: 0335152074
    Series Statement: Geological Society of London handbook
    Classification:
    A.2.1.
    Language: English
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  • 2
    Call number: 9/S 93.0082(83) ; 9/S 93.0082(83) 2. Ex.
    In: Italienische Vulkan-Gebiete
    In: Sammlung geologischer Führer
    Type of Medium: Series available for loan
    Pages: X, 271 S.
    ISBN: 3443150500
    Series Statement: Sammlung geologischer Führer 83
    Classification:
    Regional Geology
    Language: German
    Location: Reading room
    Location: Reading room
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  • 3
    Monograph available for loan
    Monograph available for loan
    San Diego : Academic Press
    Associated volumes
    Call number: 5/M 92.0428 ; AWI S2-95-0210
    In: International geophysics series, Volume 45
    Type of Medium: Monograph available for loan
    Pages: xii, 289 Seiten , Illustrationen
    Edition: revised edition
    ISBN: 0124909213 , 0-12-490921-3
    Series Statement: International geophysics series 45
    Classification:
    A.2.1.
    Language: English
    Note: CONTENTS: PREFACE. - INTRODUCTION. - 1 DESCRIBING INVERSE PROBLEMS. - 1.1 Formulating Inverse Problems. - 1.2 The Linear Inverse Problem. - 1.3 Examples of Formulating Inverse Problems. - 1.4 Solutions to Inverse Problems. - 2 SOME COMMENTS ON PROBABILITY THEORY. - 2.1 Noise and Random Variables. - 2.2 Correlated Data. - 2.3 Functions of Random Variables. - 2.4 Gaussian Distributions. - 2.5 Testing the Assumption of Gaussian Statistics. - 2.6 Confidence Intervals. - 3 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1: THE LENGTH METHOD. - 3.1 The Lengths of Estimates. - 3.2 Measures of Length. - 3.3 Least Squares for a Straight Line. - 3.4 The Least Squares Solution of the Linear Inverse Problem. - 3.5 Some Examples. - 3.6 The Existence of the Least Squares Solution. - 3.7 The Purely Underdetermined Problem. - 3.8 Mixed-Determined Problems. - 3.9 Weighted Measures of Length as a Type of A Priori Information. - 3.10 Other Types of A Priori Information. - 3.11 The Variance of the Model Parameter Estimates. - 3.12 Variance and Prediction Error of the Least Squares Solution. - 4 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES. - 4.1 Solutions versus Operators. - 4.2 The Data Resolution Matrix. - 4.3 The Model Resolution Matrix. - 4.4 The Unit Covariance Matrix. - 4.5 Resolution and Covariance of Some Generalized Inverses. - 4.6 Measures of Goodness of Resolution and Covariance. - 4.7 Generalized Inverses with Good Resolution and Covariance. - 4.8 Sidelobes and the Backus-Gilbert Spread Function. - 4.9 The Backus-Gilbert Generalized Inverse for the Underdetermined Problem. - 4.10 Including the Covariance Size. - 4.11 The Trade-off of Resolution and Variance. - 5 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS. - 5.1 The Mean of a Group of Measurements. - 5.2 Maximum Likelihood Solution of the Linear Inverse Problem. - 5.3 A Priori Distributions. - 5.4 Maximum Likelihood for an Exact Theory. - 5.5 Inexact Theories. - 5.6 The Simple Gaussian Case with a Linear Theory. - 5.7 The General Linear, Gaussian Case. - 5.8 Equivalence of the Three Viewpoints. - 5.9 The F Test of Error Improvement Significance. - 5.10 Derivation of the Formulas of Section 5.7. - 6 NONUNIQUENESS AND LOCALIZED AVERAGES. - 6.1 Null Vectors and Nonuniqueness. - 6.2 Null Vectors of a Simple Inverse Problem. - 6.3 Localized Averages of Model Parameters. - 6.4 Relationship to the Resolution Matrix. - 6.5 Averages versus Estimates. - 6.6 Nonunique Averaging Vectors and A Priori Information. - 7 APPLICATIONS OF VECTOR SPACES. - 7.1 Model and Data Spaces. - 7.2 Householder Transformations. - 7.3 Designing Householder Transformations. - 7.4 Transformations That Do Not Preserve Length. - 7.5 The Solution of the Mixed-Determined Problem. - 7.6 Singular-Value Decomposition and the Natural Generalized Inverse. - 7.7 Derivation of the Singular-Value Decomposition. - 7.8 Simplifying Linear Equality and Inequality Constraints. - 7.9 Inequality Constraints. - 8 LINEAR INVERSE PROBLEMS AND NON-GAUSSIAN DISTRIBUTIONS. - 8.1 L1 Norms and Exponential Distributions. - 8.2 Maximum Likelihood Estimate of the Mean of an Exponential Distribution. - 8.3 The General Linear Problem. - 8.4 Solving L1 Norm Problems. - 8.5 The L [Infinity symbol] Norm. - 9 NONLINEAR INVERSE PROBLEMS. - 9.1 Parameterizations. - 9.2 Linearizing Parameterizations. - 9.3 The Nonlinear Inverse Problem with Gaussian Data. - 9.4 Special Cases. - 9.5 Convergence and Nonuniqueness of Nonlinear L2 Problems. - 9.6 Non-Gaussian Distributions. - 9.7 Maximum Entropy Methods. - 10 FACTOR ANALYSIS. - 10.1 The Factor Analysis Problem. - 10.2 Normalization and Physicality Constraints. - 10.3 Q-Mode and R-Mode Factor Analysis. - 10.4 Empirical Orthogonal Function Analysis. - 11 CONTINUOUS INVERSE THEORY AND TOMOGRAPHY. - 11.1 The Backus-Gilbert Inverse Problem. - 11.2 Resolution and Variance Trade-off. - 11.3 Approximating Continuous Inverse Problems as Discrete Problems. - 11.4 Tomography and Continuous Inverse Theory. - 11.5 Tomography and the Radon Transform. - 11.6 The Fourier Slice Theorem. - 11.7 Backprojection. - 12 SAMPLE INVERSE PROBLEMS. - 12.1 An Image Enhancement Problem. - 12.2 Digital Filter Design. - 12.3 Adjustment of Crossover Errors. - 12.4 An Acoustic Tomography Problem. - 12.5 Temperature Distribution in an Igneous Intrusion. - 12.6 L1, L2, and L [infinity symbol] Fitting of a Straight Line. - 12.7 Finding the Mean of a Set of Unit Vectors. - 12.8 Gaussian Curve Fitting. - 12.9 Earthquake Location. - 12.10 Vibrational Problems. - 13 NUMERICAL ALGORITHMS. - 13.1 Solving Even-Determined Problems. - 13.2 Inverting a Square Matrix. - 13.3 Solving Underdetermined and Overdetermined Problems. - 13.4 L2 Problems with Inequality Constraints. - 13.5 Finding the Eigenvalues and Eigenvectors of a Real Symmetric Matrix. - 13.6 The Singular-Value Decomposition of a Matrix. - 13.7 The Simplex Method and the Linear Programming Problem. - 14 APPLICATIONS OF INVERSE THEORY TO GEOPHYSICS. - 14.1 Earthquake Location and the Determination of the Velocity Structure of the Earth from Travel Time Data. - 14.2 Velocity Structure from Free Oscillations and Seismic Surface Waves. - 14.3 Seismic Attenuation. - 14.4 Signal Correlation. - 14.5 Tectonic Plate Motions. - 14.6 Gravity and Geomagnetism. - 14.7 Electromagnetic Induction and the Magnetotelluric Method. - 14.8 Ocean Circulation. - APPENDIX A: Implementing Constraints with Lagrange Multipliers. - APPENDIX B: L2 Inverse Theory with Complex Quantities. - REFERENCES. - INDEX
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  • 4
    Monograph available for loan
    Monograph available for loan
    Washington, D.C. : Mineralogical Society of America
    Associated volumes
    Call number: 11/M 92.0515 ; 11/M 93.0582
    In: Reviews in mineralogy
    Description / Table of Contents: Both mineralogy and geology began as macroscopic observational sciences. Toward the end of the 19th century, theoretical crystallography began to examine the microscopic consequences of translational symmetry, and with the advent of crystal structure analysis at the beginning of this century, the atomic (crystal) structure of minerals became accessible to us. Almost immediately, the results were used to explain at the qualitative level many of the macroscopic physical properties of minerals. However, it was soon realized that the (static) arrangement of atoms in a mineral is only one aspect of its constitution. Also of significance are its vibrational characteristics, electronic structure and magnetic properties, factors that play an even more important role when we come to consider the behavior of the minerals in dynamic processes. It was as probes of these types of properties that spectroscopy began to playa significant role in mineralogy. During the 1960's, a major effort in mineralogy involved the characterization of cation ordering in minerals, and this work began to have an impact in petrology via the thermodynamic modeling of inter- and intra-crystalline exchange. This period saw great expansion in the use of vibrational, optical and Mossbauer spectroscopies for such work. This trend continued into the 1970s, with increasing realization that adequate characterization of the structural chemistry of a mineral often requires several complementary spectroscopic and diffraction techniques. The last decade has seen the greatest expansion in the use of spectroscopy in the Earth Sciences. There has been a spate of new techniques (Magic Angle Spinning Nuclear Magnetic Resonance, Extended X-ray Absorption Fine-Structure and other synchrotron related techniques) and application of other more established methods (inelastic neutron scattering, Auger spectroscopy, photoelectron spectroscopy). Furthermore, scientific attention has been focused more on processes than on crystalline minerals, and the materials of interest have expanded to include glasses, silicate melts, gels, poorly-crystalline and amorphous phases, hydrothermal solutions and aqueous fluids. In addition, many of the important intereactions occur at surfaces or near surfaces, and consequently it is not just the properties and behavior of the bulk materials that are relevant. This is an exciting time to be doing Earth Sciences, particularly as the expansion in spectroscopic techniques and applications is enabling us to look at geochemical and geophysical processes in a much more fundamental way than was previously possible. However, the plethora of techniques is very forbidding to the neophyte, whether a graduate student or an experienced scientist from another field. There are an enormous number of texts in the field of spectroscopy. However, very few have a slant towards geological materials, and virtually none stress the integrated multi-technique approach that is necessary for use in geochemical and geophysical problems. I hope that this volume will fill this gap and provide a general introduction to the use of spectroscopic techniques in Earth Sciences. I thank all of the authors for trying to meet most of the deadlines associated with the production of this volume. It is my opinion that the primary function of this volume (and its associated Short Course) is instructive. With this in mind, I also thank each of the authors for the additional effort necessary to write a (relatively) brief but clear introduction to a very complex subject, and for good-humoredly accepting my requests to include more explanation and shorten their manuscripts. The authors of this volume presented a short course, entitled "Spectroscopic Methods in Mineralogy and Geology", May 13-15, 1988, in Hunt Valley, Maryland. The course was sandwiched between the first V.M. Goldschmidt-Conference, organized by the Geochemical Society and held at Hunt Valley, and the spring meeting of the American Geophysical Union, held in Baltimore.
    Type of Medium: Monograph available for loan
    Pages: xvi, 698 S.
    ISBN: 0-939950-22-7 , 978-0-939950-22-5
    ISSN: 1529-6466
    Series Statement: Reviews in mineralogy 18
    Classification:
    Regional Geology
    Language: English
    Note: Chapter 1. Introduction To Spectroscopic Methods by George Calas and Frank C. Hawthorne, p. 1 - 10 Chapter 2. Symmetry, Group Theory And Quantum Mechanics by Paul F. McMillan and Anthony C. Hess, p. 11 - 62 Chapter 3. Spectrum-Fitting Methods by Frank C. Hawthorne and Glenn A. Waychunas, p. 63 - 98 Chapter 4. Infrared And Raman Spectroscopy by Paul F. McMillan and Anne M. Hofmeister, p. 99 - 160 Chapter 5. Inelastic Neutron Scattering by Subrata Ghose, p. 161 - 192 Chapter 6. Vibrational Spectroscopy Of Hydrous Components by George R. Rossman, p. 193 - 206 Chapter 7. Optical Spectroscopy by George R. Rossman, p. 207 - 254 Chapter 8. Mossbauer Spectroscopy by Frank C. Hawthorne, p. 255 - 340 Chapter 9. MAS NMR Spectroscopy Of Minerals And Glasses by R. James Kirkpatrick, p. 341 - 404 Chapter 10. NMR Spectroscopy And Dynamic Processes In Mineralogy And Geochemistry by Jonathan F. Stebbins, p. 405 - 430 Chapter 11. X-Ray Absorption Spectroscopy: Applications In Mineralogy ind Geochemistry by Gordon E. Brown, Jr., George Calas, Glenn A. Waychunas and Jacqueline Petiau, p. 430 - 512 Chapter 12. Electron Paramagnetic Resonance by George Calas, p. 513 - 572 Chapter 13. Auger Electron And X-Ray Photelectron Spectroscopies by Micheal F.Hochella, Jr., p. 572 - 638 Chapter 14. Luminescence, X-Ray Emission and New Spectroscopies by Gless A. Waychunas, p. 639 - 698
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  • 5
    Series available for loan
    Series available for loan
    Tulsa, Okla. : The American Association of Petroleum Geologists
    Associated volumes
    Call number: 9/S 90.0096(43) ; ILP/M06.0087
    In: Memoir
    In: Publication of the International Lithosphere Programme
    Type of Medium: Series available for loan
    Pages: VII, 198 S. : graph. Darst. + 30 Kt. in extra Bd.
    ISBN: 0891813209
    Series Statement: Memoir / The American Association of Petroleum Geologists 43
    Classification:
    Regional Geology
    Language: English
    Location: Reading room
    Location: Reading room
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  • 6
    Monograph available for loan
    Monograph available for loan
    Amsterdam [u.a.] : Elsevier [u.a.]
    Associated volumes
    Call number: 5/M 92.0494
    In: Physics and evolution of the earth's interior
    Type of Medium: Monograph available for loan
    Pages: XIII, 566 S.
    ISBN: 0444995692
    Series Statement: Physics and evolution of the earth's interior 3
    Classification:
    A.2.1.
    Language: English
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  • 7
    Series available for loan
    Series available for loan
    Berlin [u.a.] : Borntraeger
    Associated volumes
    Call number: 9/S 93.0082(48)
    In: Sammlung geologischer Führer
    Type of Medium: Series available for loan
    Pages: XVI, 302 S. + 1 Kt.-Beil.
    Edition: 3., vollkommen überarb. Aufl.
    ISBN: 3443150446
    Series Statement: Sammlung geologischer Führer 48
    Classification:
    Regional Geology
    Language: German
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