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  • Books  (9)
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  • 2010-2014  (9)
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  • 2010  (9)
  • Mathematics  (9)
  • 1
    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
    Location: Reading room
    Branch Library: GFZ Library
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  • 2
    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
    Location: Reading room
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  • 3
    Monograph available for loan
    Monograph available for loan
    New York : SIAM
    Call number: M 12.0258
    Description / Table of Contents: Contents: 1. Introduction and motivation; 2. Meet the Fredholm integral equation of the first kind; 3. Getting to business: discretizations of linear inverse problems; 4. Computational aspects: regularization methods; 5. Getting serious: choosing the regularization parameter; 6. Toward real-world problems: iterative regularization; 7. Regularization methods at work: solving real problems; 8. Beyond the 2-norm: the use of discrete smoothing norms; Appendix A. Linear algebra stuff; Appendix B. Symmetric Toeplitz-plus-Hankel matrices and the DCT; Appendix C. Early work on 'Tikhonov regularization';
    Description / Table of Contents: This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms
    Type of Medium: Monograph available for loan
    Pages: xii, 213 S.
    ISBN: 9780898716962
    Series Statement: Fundamentals of algorithms
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 4
    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
    Location: Reading room
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  • 5
    Call number: M 11.0224
    Description / Table of Contents: Content: Part A Theory.- 1. Data Assimilation and Information.- 2. Mathematical Concepts of Data Assimilation.- 3. Variational Assimilation.- 4. Ensemble Kalman Filter: Status and Potential.- 5. Error Statistics in Data Assimilation: Estimation and Modelling.- 6. Bias Estimation.- 7. The Principle of Energetic Consistency in Data Assimilation.- 8. Evaluation of Assimilation Algorithms.- .9 Initialization.- Part B Observations.- 10.The Global Observing System.- 11. Assimilation of Operational Data.- 12. Research Satellites.- Part C Meteorology and Atmospheric Dynmaics.- 13. General Concepts in Meteorology and Dynamics.- 14. The Role of the Model in the Data Assimilation System.- 15. Numerical Weather Prediction.- Part D Atmospheric Chemistry.- 16. Introduction to Atmospheric Chemistry and Constituent Transport.- 17. Representation and Modelling of Uncertainties in Chemistry and Transport Models.- 18. Constituent Assimilation.- 19. Inverse Modelling and Combined State-source Estimation for Chemical Weather.- Part E Wider Applications.- 20. Ocean Data Assimilation.- 21. Land Surface Data Assimilation.- 22. Assimilation of GPS Soundings in Ionospheric Models.- Part F The Longer View.- 23. Reanalysis: Data Assimilation for Scientific Investigation of Climate.- 24. Observing System Simulation Experiments.- 25 Data Assimilation for Other Planets,- Appendix.- Index
    Type of Medium: Monograph available for loan
    Pages: xiv, 718 S. , Ill., graph. Darst., Kt.
    ISBN: 9783540747024
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 6
    Monograph available for loan
    Monograph available for loan
    New York [u.a.] : Springer
    Associated volumes
    Call number: M 11.0222
    In: Texts in applied mathematics
    Description / Table of Contents: Content: Ordinary Differential Equations, Finite-Difference Approximation of the Wave Equation, Diffusion, Sources and Sinks, Series Expansion Methods, Finite-Volume Methods, Semi-Lagrangian Methods, Physically Insignificant Fast Waves, Nonreflecting Boundary Conditions
    Type of Medium: Monograph available for loan
    Pages: xv, 516 S. , graph. Darst.
    Edition: 2nd ed.
    ISBN: 9781441964113
    Series Statement: Texts in applied mathematics 32
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 7
    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
    Location: Reading room
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  • 8
    Monograph available for loan
    Monograph available for loan
    S.S. Papdopolus&Associates, Inc.
    Call number: M 13.0149
    Type of Medium: Monograph available for loan
    Pages: getr. Zähl.; Ill., graph. Darst.
    Classification:
    Mathematics
    Location: Upper compact magazine
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  • 9
    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
    Location: Reading room
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