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  • 1
    Online Resource
    Online Resource
    Cham :Springer International Publishing, | Cham :Springer.
    UID:
    edoccha_BV048918546
    Format: 1 Online-Ressource (XIX, 364 p. 88 illus., 61 illus. in color).
    Edition: 2nd ed. 2023
    ISBN: 978-3-031-09454-5
    Series Statement: Springer Undergraduate Texts in Mathematics and Technology
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09453-8
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09455-2
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09456-9
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 2
    Online Resource
    Online Resource
    Cham :Springer International Publishing, | Cham :Springer.
    UID:
    almafu_BV048918546
    Format: 1 Online-Ressource (XIX, 364 p. 88 illus., 61 illus. in color).
    Edition: 2nd ed. 2023
    ISBN: 978-3-031-09454-5
    Series Statement: Springer Undergraduate Texts in Mathematics and Technology
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09453-8
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09455-2
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09456-9
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 3
    Online Resource
    Online Resource
    Cham :Springer International Publishing, | Cham :Springer.
    UID:
    edocfu_BV048918546
    Format: 1 Online-Ressource (XIX, 364 p. 88 illus., 61 illus. in color).
    Edition: 2nd ed. 2023
    ISBN: 978-3-031-09454-5
    Series Statement: Springer Undergraduate Texts in Mathematics and Technology
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09453-8
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09455-2
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09456-9
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 4
    UID:
    b3kat_BV041374539
    Format: 1 Online-Ressource
    ISBN: 9781461472759 , 9781461472766
    Series Statement: Springer undergraduate texts in mathematics and technology
    Language: English
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 5
    Online Resource
    Online Resource
    Cham : Springer International Publishing | Cham : Springer
    UID:
    b3kat_BV048918546
    Format: 1 Online-Ressource (XIX, 364 p. 88 illus., 61 illus. in color)
    Edition: 2nd ed. 2023
    ISBN: 9783031094545
    Series Statement: Springer Undergraduate Texts in Mathematics and Technology
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09453-8
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09455-2
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-031-09456-9
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 6
    UID:
    almahu_BV042487029
    Format: XX, 431 S. : , graph. Darst.
    ISBN: 978-1-4614-7275-9
    Series Statement: Springer undergraduate texts in mathematics and technology
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-4614-7276-6
    Language: English
    Subjects: Mathematics
    RVK:
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  • 7
    Online Resource
    Online Resource
    Cham : Springer
    UID:
    gbv_1843029731
    Format: 1 Online-Ressource (XIX, 364 Seiten) , Illustrationen
    Edition: Second edition
    ISBN: 9783031094545
    Series Statement: Springer Undergraduate Texts in Mathematics and Technology
    Content: Part I Mathematical Modeling -- 1 Modeling in Biology -- 2 Empirical Modeling -- 3 Mechanistic Modeling. Part II Dynamical Systems -- 4 Dynamics of Single Populations -- 5 Discrete Linear Systems -- 6 Nonlinear Dynamical Systems -- Appendix A. Using Matlab and Octave -- Appendix B. Derivatives and Differentiation -- Appendix C. Nonlinear Optimization -- Appendix D. A Runge-Kutta Method for Numerical Solution of Differential Equations -- Appendix E. Scales and Dimensionless Parameters -- Appendix F. Approximating a Nonlinear System at an Equilibrium Point -- Appendix G. Best Practices in the Use of Algebra -- Hints and Answers to Selected Problems -- Index.
    Content: Mathematical Modeling for Epidemiology and Ecology provides readers with the mathematical tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas and the biological implications, with detailed explanations. The author assumes no mathematics background beyond elementary differential calculus. An introductory chapter on basic principles of mathematical modeling is followed by chapters on empirical modeling and mechanistic modeling. These chapters contain a thorough treatment of key ideas and techniques that are often neglected in mathematics books, such as the Akaike Information Criterion. The second half of the book focuses on analysis of dynamical systems, emphasizing tools to simplify analysis, such as the Routh-Hurwitz conditions and asymptotic analysis. Courses can be focused on either half of the book or thematically chosen material from both halves, such as a course on mathematical epidemiology. The biological content is self-contained and includes many topics in epidemiology and ecology. Some of this material appears in case studies that focus on a single detailed example, and some is based on recent research by the author on vaccination modeling and scenarios from the COVID-19 pandemic. The problem sets feature linked problems where one biological setting appears in multi-step problems that are sorted into the appropriate section, allowing readers to gradually develop complete investigations of topics such as HIV immunology and harvesting of natural resources. Some problems use programs written by the author for Matlab or Octave; these combine with more traditional mathematical exercises to give students a full set of tools for model analysis. Each chapter contains additional case studies in the form of projects with detailed directions. New appendices contain mathematical details on optimization, numerical solution of differential equations, scaling, linearization, and sophisticated use of elementary algebra to simplify problems.
    Additional Edition: ISBN 9783031094538
    Additional Edition: ISBN 9783031094552
    Additional Edition: ISBN 9783031094569
    Additional Edition: Erscheint auch als Druck-Ausgabe Ledder, Glenn Mathematical modeling for epidemiology and ecology Cham, Switzerland : Springer, 2023 ISBN 9783031094538
    Additional Edition: ISBN 3031094530
    Language: English
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  • 8
    UID:
    almafu_9959233520302883
    Format: 1 online resource (xvii, 207 pages) : , digital, PDF file(s).
    ISBN: 1-61444-316-5
    Series Statement: Notes ; v.81
    Content: There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.
    Note: Title from publisher's bibliographic system (viewed on 02 Oct 2015). , Models. BioCalc at Illinois / J. Jerry Uhl and Judy Holdener ; Biocalculus at Benedictine University / Timothy D. Comar ; Implementation of first year biomath courses at the Ohio State University / Laura Kubatko, Janet Best, Tony Nance, and Yuan Lou ; Teaching calculus, probability, and statistics to undergraduate life science majors : a unified approach / Frederick R. Adler ; The first year of calculus and statistics at Macalester College / Dan Flath, Tom Halverson, Danny Kaplan, and Karen Saxe ; Biology in mathematics at the University of Richmond / Lester Caudill ; A terminal post-Calculus-I mathematics course for biology students / Glenn Ledder ; Modeling nature and the nature of modeling : an integrative modeling approach / Claudia Neuhauser ; Mathematical biology and computational algebra at the sophomore level / Rohan Attele and Dan Hrozencik ; An interdisciplinary research course in theoretical ecology for young undergraduates / Glenn Ledder, Brigitte Tenhumberg, and G. Travis Adams ; An interdisciplinary course, textbook, and laboratory manual in biomathematics with emphasis on current biomedical research / Raina Robeva, Robin Davies, and Michael L. Johnson ; Teaching bioinformatics in a mathematics department / Steven Deckelman ; SYMBIOSIS : an integration of biology, math and statistics at the freshman level : walking together instead of on opposite sides of the street / Karl H. Joplin, Edith Seier, Anant Godbole, Michel Helfgott, Istvan Karsai, Darrell Moore, and Hugh A. Miller, III -- Processes. Science One : integrating mathematical biology into a first-year program / Mark Mac Lean ; Planning for the long term / Meredith L. Greer ; Some lessons from fifteen years of educational initiatives at the interface between mathematics and biology : the entry-level course / Louis J. Gross ; A "wet-lab" calculus for the life sciences / James L. Cornette, Gail B. Johnston, Ralph A. Ackerman, and Brin A. Keller ; Creating an interdisciplinary research course in mathematical biology / Glenn Ledder and Brigitte Tenhumberg ; Bioinformatics : an example of a cooperative learning course / Namyong Lee and Ernest Boyd ; Integrating statistics and General Biology I in a learning community / William Ardis and Sukanya Subramanian ; Constructing an undergraduate biomath curriculum at a large university : developing first year biomath courses at the Ohio State University / Tony Nance and Laura Kubatko ; Initial steps towards an integration of qualitative thinking into the teaching of biology at a large public university / Carole L. Hom, Eric V. Leaver, and Martin Wilson -- Directions. Integrating statistics into college algebra to meet the needs of biology students / Sheldon P. Gordon and Florence Gordon ; Motivating calculus with biology / Sebastian J. Schreiber ; Computational systems biology : discrete models of gene regulation networks / Ana Martins, Paola Vera-Licona, and Reinhard Laubenbacher ; Creating quantitative biologists : the immediate future of SYMBIOSIS / Darrell Moore, Karl H. Joplin, Istvan Karsai, and Hugh A. Miller, III. , English
    Additional Edition: ISBN 0-88385-191-1
    Language: English
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  • 9
    Book
    Book
    Cham, Switzerland :Springer,
    UID:
    almahu_BV049630146
    Format: xix, 364 Seiten : , Illustrationen, Diagramme.
    Edition: Second edition
    ISBN: 978-3-031-09456-9 , 978-3-031-09453-8
    Series Statement: Springer undergraduate texts in mathematics and technology
    Note: Literaturangaben
    Additional Edition: Erscheint auch als Online-Ausgabe Ledder, Glenn Mathematical Modeling for Epidemiology and Ecology Cham : Springer, 2023 ISBN 978-3-031-09454-5
    Language: English
    Subjects: Biology , Medicine
    RVK:
    RVK:
    RVK:
    RVK:
    Keywords: Epidemiologe ; Ökologie ; Biomathematik ; Lehrbuch
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