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  • 1
    Monograph available for loan
    Monograph available for loan
    Philadelphia, Pa. : SIAM
    Call number: 19/M 14.0099
    Description / Table of Contents: The field of uncertainty quantification is evolving rapidly because of increasing emphasis on models that require quantified uncertainties for large-scale applications, novel algorithm development, and new computational architectures that facilitate implementation of these algorithms. Uncertainty Quantification: Theory, Implementation, and Applications provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines.The book begins with a detailed discussion of applications where uncertainty quantification is critical for both scientific understanding and policy. It then covers concepts from probability and statistics, parameter selection techniques, frequentist and Bayesian model calibration, propagation of uncertainties, quantification of model discrepancy, surrogate model construction, and local and global sensitivity analysis. The author maintains a complementary web page where readers can find data used in the exercises and other supplementary material.Uncertainty Quantification: Theory, Implementation, and Applications includes a very large number of definitions and examples that use a suite of relatively simple models to illustrate concepts; numerous references to current and open research issues; exercises that illustrate basic concepts and guide readers through the numerical implementation of algorithms for prototypical problems; a wide range of applications, including weather and climate models, subsurface hydrology and geology models, nuclear power plant design, and models for biological phenomena; and recent advances and topics that have appeared in the research literature within the last 15 years, including aspects of Bayesian model calibration, surrogate model development, parameter selection techniques, and global sensitivity analysis.
    Type of Medium: Monograph available for loan
    Pages: xviii, 382 S. : Ill., graph. Darst.
    ISBN: 9781611973211
    Series Statement: Computational science and engineering
    Classification:
    Mathematics
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  • 2
    Monograph available for loan
    Monograph available for loan
    Berlin [u.a.] : Springer
    Call number: 19/M 14.0138
    Description / Table of Contents: Contents: Wahrscheinlichkeit.- Zufallsgrößen und Verteilungen.- Klassisches Schätzen.- Klassisches Testen.- Die Posterioriverteilung.- Bayessches Schätzen.- Bayessches Testen.- Drei historische Fälle.- A. Standardnormalverteilung
    Type of Medium: Monograph available for loan
    Pages: XI, 166 S. , 30 schw.-w. Ill. , 240 mm x 168 mm
    Edition: Aufl. 2014
    ISBN: 9783642543845
    Series Statement: Springer-Lehrbuch
    Classification:
    Mathematics
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  • 3
    Monograph available for loan
    Monograph available for loan
    Cambridge : Cambridge University Press
    Call number: 19/M 15.0012
    Description / Table of Contents: Content: 1. Introduction to information theory; 2. Probability, entropy and inference; More about inference; Part I. Data Compression: 4. The source coding theorem; 5. Symbol codes; 6. Stream codes; 7. Codes for integers; Part II. Noisy-Channel Coding: 8. Dependent random variables; 9. Communication over a noisy channel; 10. The noisy-channel coding theorem; 11. Error-correcting codes and real channels; Part III. Further Topics in Information Theory: 12. Hash codes; 13. Binary codes; 14. Very good linear codes exist; 15. Further exercises on information theory; 16. Message passing; 17. Constrained noiseless channels; 18. Crosswords and codebreaking; 19. Why have sex? Information acquisition and evolution; Part IV. Probabilities and Inference: 20. An example inference task: clustering; 21. Exact inference by complete enumeration; 22. Maximum likelihood and clustering; 23. Useful probability distributions; 24. Exact marginalization; 25. Exact marginalization in trellises; 26. Exact
    Type of Medium: Monograph available for loan
    Pages: XII, 628 S. : graph. Darst.
    Edition: 13. print.
    ISBN: 9780521642989
    Classification:
    Mathematics
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  • 4
    Call number: 21/STR 17/03
    In: Scientific technical report
    Type of Medium: GFZ publications
    Pages: 204 Seiten , Illustrationen
    Series Statement: Scientific technical report / Deutsches GeoForschungsZentrum GFZ 17/03
    Classification:
    Ecology
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  • 5
    Call number: 19/M 12.0303 ; M 12.0304
    Description / Table of Contents: The overall aim of the book is to introduce students to the typical course followed by a data analysis project in earth sciences. A project usually involves searching relevant literature, reviewing and ranking published books and journal articles, extracting relevant information from the literature in the form of text, data, or graphs, searching and processing the relevant original data using MATLAB, and compiling and presenting the results as posters, abstracts, and oral presentations using graphics design software. The text of this book includes numerous examples on the use of internet resources, on the visualization of data with MATLAB, and on preparing scientific presentations. As with its sister book MATLAB Recipes for Earth Sciences-3rd Edition (2010), which demonstrates the use of statistical and numerical methods on earth science data, this book uses state-of-the art software packages, including MATLAB and the Adobe Creative Suite, to process and present geoscientific information collected during the course of an earth science project. The book's supplementary electronic material (available online through the publisher's website) includes color versions of all figures, recipes with all the MATLAB commands featured in the book, the example data, exported MATLAB graphics, and screenshots of the most important steps involved in processing the graphics.
    Type of Medium: Monograph available for loan
    Pages: XI, 292 S. , 100 schw.-w. Ill., 25 farb. Ill. , 235 mm x 155 mm
    ISBN: 9783642325434
    Classification:
    Mathematics
    Location: Reading room
    Location: Upper compact magazine
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  • 6
    Call number: 19/M 13.0128
    Type of Medium: Monograph available for loan
    Pages: 319 S. : graph. Darst. , 24 cm
    Edition: 5., vollst. überarb. und erw. Aufl.
    ISBN: 9783443010690
    Classification:
    Mathematics
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  • 7
    Monograph available for loan
    Monograph available for loan
    Los Angeles, Calif. [u.a.] : Sage Publ.
    Call number: 19/M 15.0254 (1.Ex.) ; 19/M 15.0254 (2.Ex.)
    Description / Table of Contents: The R version of Andy Field's hugely popular Discovering Statistics Using SPSS takes students on a journey of statistical discovery using the freeware R a free, flexible and dynamically changing software tool for data analysis that is becoming increasingly popular across the social and behavioural sciences. Hot on the heals of the award-winning and best selling Discovering Statistics Using SPSS, Third Edition, Andy Field has teamed up with Jeremy Miles (co-author of Discovering Statistics Using SAS) to write Discovering Statistics Using R. Keeping the uniquely humorous and self-depreciating style that has made students across the world fall in love with Andy Field's books, Discovering Statistics Using R takes students on a journey of statistical discovery using the freeware R, a free, flexible and dynamically changing software tool for data analysis that is becoming increasingly popular across the social and behavioural sciences throughout the world. The journey begins by explaining basic statistical and research concepts before a guided tour of the R software environment. Next the importance of exploring and graphing data will be discovered, before moving onto statistical tests that are the foundations of the rest of the book (for e.g. correlation and regression). Readers will then stride confidently into intermediate level analyses such as ANOVA, before ending their journey with advanced techniques such as MANOVA and multilevel models.Although there is enough theory to help the reader gain the necessary conceptual understanding of what they're doing, the emphasis is on applying what's learned to playful and real-world examples that should make the experience more fun than expected. Like its sister textbooks, Discovering Statistics Using R is written in an irreverent style and follows the same ground-breaking structure and pedagogical approach. The core material is augmented by a cast of characters to help the reader on their way, hundreds of examples, self-assessment tests to consolidate knowledge, and additional website material for those wanting to learn more (at www.sagepub.co.uk/fieldandmilesR). Given this book's accessibility, fun spirit, and use of bizarre real-world research it should be essential for anyone wanting to learn about statistics using the freely-available R software.
    Type of Medium: Monograph available for loan
    Pages: XXXIV, 957 S. : Ill., graph. Darst. , zahlr. Ill., graph. Darst.
    Edition: 1. publ., reprint
    ISBN: 9781446200469
    Classification:
    Mathematics
    Location: Reading room
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  • 8
    Monograph available for loan
    Monograph available for loan
    Philadelphia, Pa. : Society for Industrial and Applied Mathematics
    Call number: 19/ M 13.0051
    Description / Table of Contents: This is the first entry-level book on algorithmic (also known as automatic) differentiation (AD), providing fundamental rules for the generation of first- and higher-order tangent-linear and adjoint code. The author covers the mathematical underpinnings as well as how to apply these observations to real-world numerical simulation programs. Readers will find: examples and exercises, including hints to solutions; the prototype AD tools dco and dcc for use with the examples and exercises; first- and higher-order tangent-linear and adjoint modes for a limited subset of C/C++, provided by the derivative code compiler dcc; a supplementary website containing sources of all software discussed in the book, additional exercises and comments on their solutions (growing over the coming years), links to other sites on AD, and errata
    Type of Medium: Monograph available for loan
    Pages: X. 340 S., graph. darst.
    ISBN: 9781611972061
    Series Statement: Software, environments, and tools 24
    Classification:
    Mathematics
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  • 9
    Call number: 19/M 12.0300
    Description / Table of Contents: Contents: Preface. Contributing authors. Part I METHODOLOGY. 1 Introduction. 1.1 What is a trend? 1.2 Why analyse trends? 1.3 Some simple examples. 1.4 Considerations and Difficulties. 1.5 Scope of the book. 1.6 Further reading. References. 2 Exploratory analysis. 2.1 Data visualisation. 2.2 Simple smoothing. 2.3 Linear filters. 2.4 Classical test procedures. 2.5 Concluding comments. References. 3 Parametric modelling - deterministic trends. 3.1 The Linear trend. 3.2 Multiple regression techniques. 3.3 Violations of assumptions. 3.4 Nonlinear trends. 3.5 Generalized linear models. 3.6 Inference with small samples. References. 4 Nonparametric trend estimation. 4.1 An introduction to nonparametric regression. 4.2 Multiple covariates. 4.3 Other nonparametric estimation techniques. 4.4 Parametric or nonparametric? References. 5 Stochastic trends. 5.1 Stationary time series models and their properties. 5.2 Trend removal via differencing. 5.3 Long memory models. 5.4 Models for irregularly spaced series. 5.5 State space and structural models. 5.6 Nonlinear models. References. 6 Other issues. 6.1 Multisite data. 6.2 Multivariate series. 6.3 Point process data. 6.4 Trends in extremes. 6.5 Censored data. References. Part II CASE STUDIES. 7 Additive models for sulphur dioxide pollution in Europe ( Marco Giannitrapani, Adrian Bowman, E. Marian Scott and Ron Smith ) 7.1 Introduction. 7.2 Additive models with correlated errors. 7.3 Models for the SO 2 data. 7.4 Conclusions. References. 8 Rainfall trends in southwest Western Australia ( Richard E. Chandler, Bryson C. Bates and Stephen P. Charles ). 8.1 Motivation. 8.2 The study region. 8.3 Data used in the study. 8.4 Modelling methodology. 8.5 Results. 8.6 Summary and conclusions. References. 9 Estimation of Common tends for tropical index series ( Alain F. Zuur, Elena N. Ieno, Christina Mazziotti, Giuseppe Montanari, Attilio Rinaldi and Carla Rita Ferrari ). 9.1 Introduction. 9.2 Data exploration. 9.3 Common trends and additive modelling. 9.4 Dynamic factor analysis to estimate common trends. 9.5 Discussion. Acknowledgement. References. 10 A Space-time study on forest health ( Thomas Kneib and Ludwig Fahrmeir ). 10.1 Forest health: survey and data. 10.2 Regression models for longitudinal data with ordinal responses. 10.3 Spatiotemporal models. 10.4 Spatiotemporal modelling and analysis of forest health data. Acknowledgements. References. Index.
    Type of Medium: Monograph available for loan
    Pages: xiv, 368 p. , Ill , 24 cm
    ISBN: 9780470015438 , 0-470-01543-8
    Series Statement: Statistics in practice 90
    Classification:
    Mathematics
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  • 10
    Monograph available for loan
    Monograph available for loan
    Cambridge [u.a.] : Cambridge Univ. Press [u.a.]
    Call number: 19/M 11.0090
    Description / Table of Contents: Contens: 1. Algebraic and analytic methods Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong; 2. Asymptotic approximations Frank W. J. Olver and Roderick S. C. Wong; 3. Numerical methods Nico M. Temme; 4. Elementary functions Ranjan Roy and Frank W. J. Olver; 5. Gamma function Richard A. Askey and Ranjan Roy; 6. Exponential, logarithmic, sine and cosine integrals Nico M. Temme; 7. Error functions, Dawson's and Fresnel integrals Nico M. Temme; 8. Incomplete gamma and related functions Richard B. Paris; 9. Airy and related functions Frank W. J. Olver; 10. Bessel functions Frank W. J. Olver and Leonard C. Maximon; 11. Struve and related functions Richard B. Paris; 12. Parabolic cylinder functions Nico M. Temme; 13. Confluent hypergeometric functions Adri B. Olde Daalhuis; 14. Legendre and related functions T. Mark Dunster; 15. Hypergeometric function Adri B. Olde Daalhuis; 16. Generalized hypergeometric functions and Meijer G-function Richard A. Askey and Adri B. Olde Daalhuis; 17. q-Hypergeometric and related functions George E. Andrews; 18. Orthogonal polynomials Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw; 19. Elliptic integrals Bille C. Carlson; 20. Theta functions William P. Reinhardt and Peter L. Walker; 21. Multidimensional theta functions Bernard Deconinck; 22. Jacobian elliptic functions William P. Reinhardt and Peter L. Walker; 23. Weierstrass elliptic and modular functions William P. Reinhardt and Peter L. Walker; 24. Bernoulli and Euler polynomials Karl Dilcher; 25. Zeta and related functions Tom M. Apostol; 26. Combinatorial analysis David M. Bressoud; 27. Functions of number theory Tom M. Apostol; 28. Mathieu functions and Hill's equation Gerhard Wolf; 29. Lamé functions Hans Volkmer; 30. Spheroidal wave functions Hans Volkmer; 31. Heun functions Brian D. Sleeman and Vadim Kuznetsov; 32. Painlevé transcendents Peter A. Clarkson; 33. Coulomb functions Ian J. Thompson; 34. 3j,6j,9j symbols Leonard C. Maximon; 35. Functions of matrix argument Donald St. P. Richards; 36. Integrals with coalescing saddles Michael V. Berry and Chris Howls.
    Type of Medium: Monograph available for loan
    Pages: XV, 951 S. + 1 CD-ROM
    ISBN: 9780521140638
    Classification:
    Mathematics
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  • 11
    Call number: 19/M 11.0092
    Description / Table of Contents: This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations. Contens: Part I. Variational Principles in Mathematical Physics: 1. Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4. Elliptic systems of gradient type; 5. Systems with arbitrary growth nonlinearities; 6. Scalar field systems; 7. Competition phenomena in Dirichlet problems; 8. Problems to Part I; Part II. Variational Principles in Geometry: 9. Sublinear problems on Riemannian manifolds; 10. Asymptotically critical problems on spheres; 11. Equations with critical exponent; 12. Problems to Part II; Part III. Variational Principles in Economics: 13. Mathematical preliminaries; 14. Minimization of cost-functions on manifolds; 15. Best approximation problems on manifolds; 16. A variational approach to Nash equilibria; 17. Problems to Part III; Appendix A. Elements of convex analysis; Appendix B. Function spaces; Appendix C. Category and genus; Appendix D. Clarke and Degiovanni gradients; Appendix E. Elements of set-valued analysis
    Type of Medium: Monograph available for loan
    ISBN: 9780521117821
    Series Statement: Encyclopedia of mathematics and its applications 136
    Classification:
    Mathematics
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  • 12
    Monograph available for loan
    Monograph available for loan
    Cambridge : Cambridge University Press
    Call number: 19/M 11.0091
    Description / Table of Contents: If you work with data and need easy access to clear, reliable definitions and explanations of modern statistical and statistics-related concepts, then look no further than this dictionary. Nearly 4000 terms are defined, covering medical, survey, theoretical, and applied statistics, including computational and graphical aspects. Entries are provided for standard and specialized statistical software. In addition, short biographies of over 100 important statisticians are given. Definitions provide enough mathematical detail to clarify concepts and give standard formulae when these are helpful. The majority of definitions then give a reference to a book or article where the user can seek further or more specialized information, and many are accompanied by graphical material to aid understanding.Easy access to simple, reliable definitions and explanations of modern statistical and statistics-related concepts.
    Type of Medium: Monograph available for loan
    Pages: IX, 468 S.
    Edition: 4th ed.
    ISBN: 9780521766999
    Classification:
    Mathematics
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  • 13
    Monograph available for loan
    Monograph available for loan
    Weinheim : Wiley-VCH
    Call number: 19/M 12.0342
    Description / Table of Contents: This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
    Type of Medium: Monograph available for loan
    Pages: XIV, 348 S. , Ill., graph. Darst.
    Edition: 1st repr.
    ISBN: 9783527407588
    Classification:
    Mathematics
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  • 14
    Call number: 19/N 11.0038/1-2
    Description / Table of Contents: Geomathematics is becoming increasingly important. The 'Handbook of Geomathematics' is a central reference work and fills the gap of a basic reference work in this area. The contributions are well-structured and informative
    Pages: Vol. 1-2
    ISBN: 9783642015472
    Series Statement: Springer reference
    Classification:
    Mathematics
    Note: Online-Ausg.: Handbook of GeoMathematics
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  • 15
    Monograph available for loan
    Monograph available for loan
    Washington, DC : American Geophysical Union
    Associated volumes
    Call number: 13/M 95.0273 ; AWI A4-94-0127
    In: Antarctic research series
    Type of Medium: Monograph available for loan
    Pages: XII, 257 S.
    ISBN: 0875908411
    Series Statement: Antarctic research series 62
    Classification:
    Ecology
    Language: German
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    Branch Library: AWI Library
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  • 16
    Monograph available for loan
    Monograph available for loan
    New York : Dover Publ.
    Call number: 19/M 14.0120
    Type of Medium: Monograph available for loan
    Pages: XVII, 666 S. : graph. Darst.
    ISBN: 0486675394
    Classification:
    Mathematics
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  • 17
    Monograph available for loan
    Monograph available for loan
    Bonn : Economica
    Associated volumes
    Call number: M 99.0503/1 ; PIK N 071-93-0075 ; 47777 / Mitte
    In: Schutz der Erde
    Type of Medium: Monograph available for loan
    Pages: 686 S.
    ISBN: 3924521611
    Classification:
    Ecology
    Location: Reading room
    Location: A 18 - must be ordered
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  • 18
    Monograph available for loan
    Monograph available for loan
    Bonn : Economica
    Associated volumes
    Call number: M 99.0503/2 ; PIK N 071-93-0076 ; 47777/2 / Mitte
    In: Schutz der Erde
    Type of Medium: Monograph available for loan
    Pages: 1010 S.
    ISBN: 3924521611
    Classification:
    Ecology
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