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1. Meta-Ecosystem Dynamics : Understanding Ecosystems Through the Transformation and Movement of Matter. 1st ed. 2021
by Frederic Guichard, Justin Marleau
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: https://doi.org/10.1007/978-3-030-83454-8
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Preface. - 1 Introduction: General ecosystem dynamics
2 Meta-ecosystems
3 Nonlinear meta-ecosystem dynamics
4 Diversity of meta-ecosystems: spatial topologies, species diversity, stoichiometries and non-trophic flues
5 Conclusions
References
Preface. - 1 Introduction: General ecosystem dynamics
2 Meta-ecosystems
3 Nonlinear meta-ecosystem dynamics
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2. Mathematical Stories I – Graphs, Games and Proofs : For Gifted Students in Primary School. 1st ed. 2021
by Susanne Schindler-Tschirner, Werner Schindler
出版情報: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer, 2021
シリーズ名: Springer essentials ;
オンライン: https://doi.org/10.1007/978-3-658-32733-0
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3. Mathematics is Beautiful : Suggestions for people between 9 and 99 years to look at and explore. 1st ed. 2021
by Heinz Klaus Strick
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-662-62689-4
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Regular polygons and stars
Patterns of coloured stones
Splitting rectangles into squares as large as possible
Circles and circular rings
Pentominoes and similar puzzles
Thread patterns
Calculating with square numbers - Number cycles
Area divisions
Weighing in the triple system
Parquetry of regular 2n-corners using rhombuses
Geometric figures on chequered paper and on a square grid
Eye totals
The vanished square
Splitting rectangles into many different squares
Kissing Circles
Sums of powers
Pythagoras' theorem
Regular polygons and stars
Patterns of coloured stones
Splitting rectangles into squares as large as possible
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4. Complex Numbers : An Introduction for First Year Students. 1st ed. 2021
by Jörg Kortemeyer
出版情報: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer, 2021
シリーズ名: Springer essentials ;
オンライン: https://doi.org/10.1007/978-3-658-34929-5
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5. Stochastic Chemical Reaction Systems in Biology. 1st ed. 2021
by Hong Qian, Hao Ge
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Lecture Notes on Mathematical Modelling in the Life Sciences ;
オンライン: https://doi.org/10.1007/978-3-030-86252-7
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1. Introduction
Part I Essentials of Deterministic and Stochastic Chemical Kinetics: 2. Kinetic Rate Equations and the Law of Mass Action
3. Probability Distribution and Stochastic Processes
4. Large Deviations and Kramers’ rate formula
5. The Probabilistic Basis of Chemical Kinetics
6. Mesoscopic Thermodynamics of Markov Processes
7. Emergent Macroscopic Chemical Thermodynamics
8. Phase Transition and Mesoscopic Nonlinear Bistability
Part III Stochastic Kinetics of Biochemical Systems and Processes: 9. Classic Enzyme Kinetics—The Michaelis-Menten and Briggs-Haldane Theories
10. Single-Molecule Enzymology and Driven Biochemical Kinetics with Chemostat
11. Stochastic Linear Reaction Kinetic Systems
12. Nonlinear Stochastic Reaction Systems with Simple Examples
13. Kinetics of the Central Dogma of Molecular Cell Biology
14. Stochastic Macromolecular Mechanics and Mechanochemistry
Part IV Epilogue: Beyond Chemical Reaction Kinetics: 15. Landscape, Attractor-State Switching, and Differentiation
16. Nonlinear Stochastic Dynamics: New Paradigm and Syntheses
References
Index
1. Introduction
Part I Essentials of Deterministic and Stochastic Chemical Kinetics: 2. Kinetic Rate Equations and the Law of Mass Action
3. Probability Distribution and Stochastic Processes
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6. Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces. 1st ed. 2021
by Iwona Chlebicka, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Aneta Wróblewska-Kamińska
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-88856-5
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Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
Part II PDEs: 4. Weak Solutions
5. Renormalized Solutions
6. Homogenization of Elliptic Boundary Value Problems
7. Non-Newtonian Fluids
Part III Auxiliaries: 8. Basics
9. Functional Inequalities
References
List of Symbols
Index
Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
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7. Rule of Three, Percentages and Interest : Handling Formulas Made Easy. 1st ed. 2021
by Thomas Rießinger
出版情報: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer, 2021
シリーズ名: Springer essentials ;
オンライン: https://doi.org/10.1007/978-3-658-32723-1
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Rule of three
What are percentages?
Percentage value
Base value
Interest
Rule of three
What are percentages?
Percentage value
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8. Emerging Problems in the Homogenization of Partial Differential Equations. 1st ed. 2021
edited by Patrizia Donato, Manuel Luna-Laynez
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: ICIAM 2019 SEMA SIMAI Springer Series ; 10
オンライン: https://doi.org/10.1007/978-3-030-62030-1
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Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids
Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons
Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions
G. Fulgencio, R. and Guibé, O., Quasilinear Elliptic Problems in a Two-Component Domain with L^1 data
Donato, P. et al., Homogenization of an eigenvalue problem in a two-component domain with interfacial jump
Nika, G. and Vernescu, B., Micro-geometry effects on the nonlinear effective yield strength response of magnetorheological fluids
Jerez-Hanckes, C. et al., Multiscale analysis of myelinated axons
Pérez-Martínez, M., Homogenization for alternating boundary conditions with large reaction terms concentrated in small regions
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9. (In-)Stability of Differential Inclusions : Notions, Equivalences, and Lyapunov-like Characterizations. 1st ed. 2021
by Philipp Braun, Lars Grüne, Christopher M. Kellett
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-76317-6
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1 Introduction
2 Mathematical Setting & Motivation
3 Strong (in)stability of differential inclusions & Lyapunov characterizations
4 Weak (in)stability of differential inclusions & Lyapunov characterizations
5 Outlook & Further Topics
6 Proofs of the Main Results
7 Auxiliary results
8 Conclusions
1 Introduction
2 Mathematical Setting & Motivation
3 Strong (in)stability of differential inclusions & Lyapunov characterizations
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10. Landscape of 21st Century Mathematics : Selected Advances, 2001–2020. 1st ed. 2021
by Bogdan Grechuk
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-3-030-80627-9
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1 Number Theory
2 Combinatorics
3 Analysis
4 Algebra
5 Geometry and Topology
6 Probability and Statistics
7 Algorithms and Complexity
8 Logic and Set Theory
References
Index
1 Number Theory
2 Combinatorics
3 Analysis
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11. Representation Theory of Solvable Lie Groups and Related Topics. 1st ed. 2021
by Ali Baklouti, Hidenori Fujiwara, Jean Ludwig
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-82044-2
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12. Math in the Time of Corona. 1st ed. 2021
edited by Alice Wonders
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Mathematics Online First Collections ;
オンライン: https://doi.org/10.1007/978-3-030-77166-9
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Things Lost and Won During the Plague (Adiprasito)
Has the coronavirus affected the Ferran Sunyer I Balaguer Prize? (Castellet)
Intensive Collaborative Work on COVID-19 Modeling (Rao, Krantz)
The Home-Field Paradox (Winkler)
Data Analysis and Predictive Mathematical Modeling for COVID-19 Epidemic Studies (Quarteroni, Dede’, Parolini), A View from Lockdown: Mathematics Discovered, Invented, and Inherited (Borovik)
Exponentials and the Virus (Hidary)
The Consolation of Math in the Plague Time (Mazur)
Singularities at Home, Unofficial Observations (Chang, Schulze)
An Essay in the Time of Corona (Kubrusly)
Truth by Close Proximity (Constanda)
A Teacher and an Administrator in the Time of Corona (Struppa)
Ups and Downs (Penner)
Off Line from No Line to On Line (Nievergelt)
Dodging a Bullet (Tu)
The Co-Video Mathematician (Miller)
What you always wanted to know about … exponential growth (Tretter)
Glass and Lace (Senechal)
Covid-19 Analytics: Proposed Projects for Undergraduate Research (Abbasian, Sieben)
The Optimal Lockdown Strategy Against Virus Propagation and Economic Loss (Gazzola)
Research Seminars: A New Hope (Costa, Poonen, Roe, Sutherland)
Mathematics Indicates That an HIV-Style Strategy Could Be Applied to Manage the Coronavirus (Rowlett)
Orchestral Turbulence (Wells Jr.)
Applied Mathematics in the Time of Corona: A Survival Guide (Goriely)
Glimpses at Corona: La Boqueria and Notre Dame (Hahn)
Soap Bubbles Vanitas Venice (Emmer)
Thoughts at the Time of an Epidemic (Soifer)
Dancing on Stilts (Saul)
Public Engagement 280 Characters at a Time (Johnson)
Three Stories on the Importance of Putting It on the Back Burner (Tabachnikov)
Solitude Is Conducive to Work and Contemplation (Alladi)
Counting Syllables, Shaping Poems: Reflections (Growney)
Experimental Math Outreach and Popularization During COVID-19 (Borwein)
Counting Heads: Individual-Based Models of Disease Dynamics (Bruaset)
Things Lost and Won During the Plague (Adiprasito)
Has the coronavirus affected the Ferran Sunyer I Balaguer Prize? (Castellet)
Intensive Collaborative Work on COVID-19 Modeling (Rao, Krantz)
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13. Polynomial Automorphisms and the Jacobian Conjecture : New Results from the Beginning of the 21st Century. 1st ed. 2021
by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Frontiers in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-60535-3
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