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  • 1
    Online Resource
    Online Resource
    Undergraduate mathematics competitions (1995-2016) : Taras Shevchenko National University of Kyiv (2017)
    Cham :Springer,
    Details
    UID:
    almafu_BV044397087
    Format: 1 Online-Ressource (XIV, 228 Seiten, 10 illus).
    Edition: Second edition
    ISBN: 978-3-319-58673-1
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-58672-4
    Language: English
    Subjects: Mathematics
    RVK:
    SM 940
    DOI: 10.1007/978-3-319-58673-1
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
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    BTU Cottbus
  • 2
    Online Resource
    Online Resource
    Functional Analysis and Operator Theory (2024)
    Cham :Springer Nature Switzerland :
    Details
    UID:
    almahu_9949773124402882
    Format: XVI, 346 p. , online resource.
    Edition: 1st ed. 2024.
    ISBN: 9783031564277
    Series Statement: Problem Books in Mathematics,
    Content: The book contains a collection of more than 800 problems from all main chapters of functional analysis, with theoretical background and solutions. It is mostly intended for undergraduate students who are starting to study the course of functional analysis. The book will also be useful for graduate and post- graduate students and researchers who wish to refresh their knowledge and deepen their understanding of the subject, as well as for teachers of functional analysis and related disciplines. It can be used for independent study as well. It is assumed that the reader has mastered standard courses of calculus and measure theory and has basic knowledge of linear algebra, analytic geometry, and differential equations. This collection of problems can help students of different levels of training and different areas of specialization to learn how to solve problems in functional analysis. Each chapter of the book has similar structure and consists of the following sections: Theoretical Background, Examples of Problems with Solutions, and Problems to Solve. The book contains theoretical preliminaries to ensure that the reader understands the statements of problems and is able to successfully solve them. Then examples of typical problems with detailed solutions are included, and this is relevant not only for those students who have significant difficulties in studying this subject, but also for other students who due to various circumstances сcould be deprived of communication with a teacher. There are problems for independent solving, and the corresponding selection of problems reflects all the main plot lines that relate to a given topic. The number of problems is sufficient both for a teacher to give practical lessons, to set homework, to prepare tasks for various forms of control, and for those students who want to study the discipline more deeply. Problems of a computational nature are provided with answers, while theoretical problems, the solutions of which require non-trivial ideas or new techniques, are provided with detailed hints or solutions to introduce the reader to the corresponding ideas or techniques.
    Note: Preface -- Banach Spaces -- Hilbert Spaces -- Continuous Linear Functionals -- Hahn - Banach Theorem -- Weak and Weak* Convergence -- Bounded Linear Operators -- Uniform, Strong and Weak Operator Convergences -- Inverse Operators -- Classes of Linear Operators in Hilbert Space -- Compact Sets and Operators -- Spectrum of Linear Operators -- Spectral Theory of Compact Operators -- Integral Equations -- Generalized Functions -- Answers, hints and solutions -- List of notations -- References.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783031564260
    Additional Edition: Printed edition: ISBN 9783031564284
    Additional Edition: Printed edition: ISBN 9783031564291
    Language: English
    DOI: 10.1007/978-3-031-56427-7
    URL: https://doi.org/10.1007/978-3-031-56427-7
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: lizenzpflichtig
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  • 3
    Online Resource
    Online Resource
    Mathematics and Life Sciences (2012)
    Berlin : De Gruyter
    Details
    UID:
    almahu_9947359977102882
    Format: Online-Ressource (XII, 316 S.)
    ISBN: 9783110288537
    Series Statement: De Gruyter Series in Mathematics and Life Sciences 1
    Content: Biographical note: Alexandra V. Antoniouk, Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine; Roderick V. N. Melnik, Wilfrid Laurier University, Waterloo, Ontario, Canada.
    Content: Main description: The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics.
    Additional Edition: ISBN 9783110288537
    Additional Edition: ISBN 9783110288544
    Language: English
    URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110288537&searchTitles=true
    URL: Volltext
    URL: Inhaltstext
    URL: Inhaltstext
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  • 4
    Online Resource
    Online Resource
    Gaussian Measures in Hilbert Space : Construction and Properties (2020)
    London :ISTE, Ltd. ;
    Details
    UID:
    almahu_9948235742902882
    Format: 1 online resource (260 p.)
    ISBN: 9781119476825 , 1119476828 , 9781119686729 , 1119686725
    Note: Description based upon print version of record. , Gaussian Measures in Euclidean Space -- Gaussian Measure in l 2 as a Product Measure -- Borel Measures in Hilbert Space -- Construction of Measure by its Characteristic Functional -- Gaussian Measure of General Form -- Equivalence and Singularity of Gaussian Measures -- Solutions -- Summarizing Remarks -- References -- Index -- Other titles from iSTE in Mathematics and Statistics.
    Additional Edition: Print version: Kukush, Alexander Gaussian Measures in Hilbert Space : Construction and Properties Newark : John Wiley & Sons, Incorporated,c2020 ISBN 9781786302670
    Language: English
    Keywords: Electronic books. ; Electronic books. ; Electronic books.
    URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119476825
    URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119476825
    URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119476825
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    HU Berlin
    FU Berlin
  • 5
    Book
    Book
    Radiation risk estimation : based on measurement error models (2017)
    Berlin : DE GRUYTER
    Details
    UID:
    kobvindex_ZLB16270117
    Format: XXIX, 238 Seiten , 24 cm x 17 cm
    ISBN: 9783110441802 , 3110441802
    Series Statement: Series in mathematics and life sciences volume 5
    Language: English
    URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110441802&searchTitles=true
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  • 6
    Book
    Book
    Undergraduate mathematics competitions (1995 - 2016) : Taras Shevchenko National University of Kyiv (2017)
    Cham :Springer,
    Details
    UID:
    almafu_BV044443941
    Format: xiv, 228 Seiten.
    Edition: Second edition
    ISBN: 978-3-319-58672-4
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-319-58673-1
    Language: English
    Subjects: Mathematics
    RVK:
    SM 940
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  • 7
    Online Resource
    Online Resource
    Undergraduate mathematics competitions (1995-2016) : Taras Shevchenko National University of Kyiv (2017)
    Cham :Springer,
    Details
    UID:
    edoccha_BV044397087
    Format: 1 Online-Ressource (XIV, 228 Seiten, 10 illus).
    Edition: Second edition
    ISBN: 978-3-319-58673-1
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-58672-4
    Language: English
    Subjects: Mathematics
    RVK:
    SM 940
    DOI: 10.1007/978-3-319-58673-1
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 8
    Online Resource
    Online Resource
    Undergraduate mathematics competitions (1995-2016) : Taras Shevchenko National University of Kyiv (2017)
    Cham :Springer,
    Details
    UID:
    edocfu_BV044397087
    Format: 1 Online-Ressource (XIV, 228 Seiten, 10 illus).
    Edition: Second edition
    ISBN: 978-3-319-58673-1
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-319-58672-4
    Language: English
    Subjects: Mathematics
    RVK:
    SM 940
    DOI: 10.1007/978-3-319-58673-1
    URL: Volltext  (URL des Erstveröffentlichers)
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    FU Berlin
  • 9
    Book
    Book
    Undergraduate mathematics competitions (1995 – 2016) : Taras Shevchenko National University of Kyiv (2017)
    Cham :Springer,
    Details
    UID:
    almahu_BV044443941
    Format: xiv, 228 Seiten.
    Edition: Second edition
    ISBN: 978-3-319-58672-4
    Series Statement: Problem books in mathematics
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-319-58673-1
    Language: English
    Subjects: Mathematics
    RVK:
    SM 940
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    HU Berlin get availability status
  • 10
    Online Resource
    Online Resource
    Theory of Stochastic Processes : With Applications to Financial Mathematics and Risk Theory (2010)
    New York, NY : Springer-Verlag New York
    Details
    UID:
    gbv_1649893795
    Format: Online-Ressource (XII, 376p. 8 illus, digital)
    Edition: 1
    ISBN: 9780387878621
    Series Statement: Problem Books in Mathematics
    Content: Definition of stochastic process. Cylinder #x03C3;-algebra, finite-dimensional distributions, the Kolmogorov theorem -- Characteristics of a stochastic process. Mean and covariance functions. Characteristic functions -- Trajectories. Modifications. Filtrations -- Continuity. Differentiability. Integrability -- Stochastic processes with independent increments. Wiener and Poisson processes. Poisson point measures -- Gaussian processes -- Martingales and related processes in discrete and continuous time. Stopping times -- Stationary discrete- and continuous-time processes. Stochastic integral over measure with orthogonal values -- Prediction and interpolation -- Markov chains: Discrete and continuous time -- Renewal theory. Queueing theory -- Markov and diffusion processes -- It#x00F4; stochastic integral. It#x00F4; formula. Tanaka formula -- Stochastic differential equations -- Optimal stopping of random sequences and processes -- Measures in a functional spaces. Weak convergence, probability metrics. Functional limit theorems -- Statistics of stochastic processes -- Stochastic processes in financial mathematics (discrete time) -- Stochastic processes in financial mathematics (continuous time) -- Basic functionals of the risk theory.
    Content: This book is a collection of exercises covering all the main topics in the modern theory of stochastic processes and its applications, including finance, actuarial mathematics, queuing theory, and risk theory. The aim of this book is to provide the reader with the theoretical and practical material necessary for deeper understanding of the main topics in the theory of stochastic processes and its related fields. The book is divided into chapters according to the various topics. Each chapter contains problems, hints, solutions, as well as a self-contained theoretical part which gives all the necessary material for solving the problems. References to the literature are also given. The exercises have various levels of complexity and vary from simple ones, useful for students studying basic notions and technique, to very advanced ones that reveal some important theoretical facts and constructions. This book is one of the largest collections of problems in the theory of stochastic processes and its applications. The problems in this book can be useful for undergraduate and graduate students, as well as for specialists in the theory of stochastic processes.
    Note: Description based upon print version of record , ""Preface""; ""Contents""; ""Definition of stochastic process. Cylinder -algebra, finite-dimensional distributions, the Kolmogorov theorem""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Characteristics of a stochastic process. Mean and covariance functions. Characteristic functions""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Trajectories. Modifications. Filtrations""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions"" , ""Continuity. Differentiability. Integrability""""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Stochastic processes with independent increments. Wiener and Poisson processes. Poisson point measures""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Gaussian processes""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Martingales and related processes in discrete and continuous time. Stopping times""; ""Theoretical grounds""; ""Bibliography"" , ""Problems""""Hints""; ""Answers and Solutions""; ""Stationary discrete- and continuous-time processes. Stochastic integral over measure with orthogonal values""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Prediction and interpolation""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Markov chains: Discrete and continuous time""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Renewal theory. Queueing theory""; ""Theoretical grounds"" , ""Bibliography""""Problems""; ""Hints""; ""Answers and Solutions""; ""Markov and diffusion processes""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""ItÃ? stochastic integral. ItÃ? formula. Tanaka formula""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Stochastic differential equations""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Optimal stopping of random sequences and processes""; ""Theoretical grounds""; ""Bibliography""; ""Problems"" , ""Hints""""Answers and Solutions""; ""Measures in a functional spaces. Weak convergence, probability metrics. Functional limit theorems""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Statistics of stochastic processes""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Stochastic processes in financial mathematics (discrete time)""; ""Theoretical grounds""; ""Bibliography""; ""Problems""; ""Hints""; ""Answers and Solutions""; ""Stochastic processes in financial mathematics (continuous time)"" , ""Theoretical grounds""
    Additional Edition: ISBN 9780387878614
    Additional Edition: Buchausg. u.d.T. Theory of stochastic processes New York : Springer, 2010 ISBN 9780387878614
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    SK 820
    RVK:
    QH 237
    Keywords: Stochastischer Prozess ; Stochastischer Prozess
    DOI: 10.1007/978-0-387-87862-1
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    URL: Kapitel 1
    URL: Einführung/Vorwort
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
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