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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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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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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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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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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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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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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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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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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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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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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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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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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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by Winfried Grassmann, Javad Tavakoli
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: CMS/CAIMS Books in Mathematics ; 5
オンライン: https://doi.org/10.1007/978-3-031-10082-6
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Basic Concepts and Definitions
Systems with Events Generated by Poisson or by Binomial Processes
Generating the Transition Matrix
Systems with Events Created by Renewal Processes
Systems with Events Created by Phase-type Processes
Computational Complexity and Rounding and Truncation Errors
Transient Solutions of Markov Chains
Moving Toward the Statistical Equilibrium
Equilibrium Solutions of Markov Chains and Related Topics
Reducing the State Space Through Censoring and Embedding
Systems with Independent or Almost Independent Components
Infinite-State Markov Chains and Matrix Analytic Methods
Basic Concepts and Definitions
Systems with Events Generated by Poisson or by Binomial Processes
Generating the Transition Matrix
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by Ehrhard Behrends
出版情報: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer, 2022
シリーズ名: Mathematics Study Resources ; 2
オンライン: https://doi.org/10.1007/978-3-658-38810-2
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Part I: Escher seen over his shoulders
Part II: Furniture transformations
Part III: Penrose tesselation
Part I: Escher seen over his shoulders
Part II: Furniture transformations
Part III: Penrose tesselation
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by Raphaël Cerf, Joseba Dalmau
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Probability Theory and Stochastic Modelling ; 102
オンライン: https://doi.org/10.1007/978-3-031-08663-2
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1. Introduction
Part I.Finite Genotype Space
2. The Quasispecies equation
3. Non-Overlapping Generations
4. Overlapping Generations
5. Probabilistic Representations
Part II. The Sharp Peak Landscape
6. Long Chain Regime
7. Error Threshold and Quasispecies
8. Probabilistic Derivation
9. Summation of the Series
10. Error Threshold in Infinite Populations
Part III. Error Threshold in Finite Populations
11.Phase Transition
12. Computer Simulations
13. Heuristics
14. Shape of the Critical Curve
15. Framework for the Proofs
Part IV. Proof for Wright-Fisher
16. Strategy of the Proof
17. The Non-Neutral Phase M
18. Mutation Dynamics
19. The Neutral Phase N
20. Synthesis
Part V. Class-Dependent Fitness Landscapes
21. Generalized Quasispecies Distributions
22. Error Threshold
23. Probabilistic Representation
24. Probabilistic Interpretations
25. Infinite Population Models
Part VI. A Glimpse at the Dynamics
26. Deterministic Level
27. From Finite to Infinite Population
28. Class-Dependent Landscapes
A. Markov Chains and Classical Results
References
Index
1. Introduction
Part I.Finite Genotype Space
2. The Quasispecies equation
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by Martin Mathieu
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-14209-3
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Introduction
Chapter 1. Motivation from Ring Theory
Chapter 2. Constructions with Modules
Chapter 3. The Isomorphism Theorems
Chapter 4. Noetherian Modules
Chapter 5. Artinian Modules
Chapter 6. Simple and Semisimple Modules
Chapter 7. The Artin-Weddeburn Theorem
Chapter 8. Tensor Products of Modules
Chapter 9. Exchange Modules and Exchange Rings
Chapter 10. Semiprimitivity of Group Rings
Bibliography
Index of Symbols
Index
Introduction
Chapter 1. Motivation from Ring Theory
Chapter 2. Constructions with Modules
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by Teo Banica
出版情報: Cham : Springer Nature Switzerland : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-23817-8
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Part I. Quantum groups
Chapter 1. Quantum spaces
Chapter 2. Quantum groups
Chapter 3. Representation theory
Chapter 4. Tannakian duality
Part II. Quantum rotations
Chapter 5. Free rotations
Chapter 6. Unitary groups
Chapter 7. Easiness, twisting
Chapter 8. Probabilistic aspects
Part III. Quantum permutations
Chapter 9. Quantum permutations
Chapter 10. Quantum reflections
Chapter 11. Classification results
Chapter 12. The standard cube
Part IV. Advanced topics
Chapter 13. Toral subgroups
Chapter 14. Amenability, growth
Chapter 15. Homogeneous spaces
Chapter 16. Modelling questions
Bibliography
Index
Part I. Quantum groups
Chapter 1. Quantum spaces
Chapter 2. Quantum groups
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edited by Scott A. Chamberlin, Peter Liljedahl, Miloš Savić
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Research in Mathematics Education ;
オンライン: https://doi.org/10.1007/978-3-031-14474-5
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Chapter 1. Creativity and Mathematics: A Beginning Look
Chapter 2. Creativity in Mathematics: an Overview of More than 100 Years of Research
Chapter 3. Mathematical creativity and society
Chapter 4. Organizational framework for book and conceptions of mathematical creativity
Chapter 5. Commentary on section
Chapter 6. Mathematical Creativity Research in the Elementary Grades
Chapter 7. Literature Review on Empirical Findings on Creativity in Mathematics among Secondary School Students
Chapter 8. Mathematical Creativity at the Tertiary Level: A Systematic Review of the Literature
Chapter 9. An introduction and a commentary
Chapter 10. Now You See It, Now You Don’t: Why the choice of theoretical lens matters when exploring children’s creative mathematical thinking
Chapter 11. The creative mathematical thinking process
Chapter 12. Group Creativity
Chapter 13. “Creativity is Contagious” and “Collective”: Progressions of Undergraduate Students’ Perspectives on Mathematical Creativity
Chapter 14. The role of creativity in teaching mathematics online
Chapter 15. Concluding thoughts on research: Application, implications and future directions
Chapter 1. Creativity and Mathematics: A Beginning Look
Chapter 2. Creativity in Mathematics: an Overview of More than 100 Years of Research
Chapter 3. Mathematical creativity and society
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edited by Rolf Biehler, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, Carl Winsløw
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Advances in Mathematics Education ;
オンライン: https://doi.org/10.1007/978-3-031-14175-1
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Part 1: Research on the secondary-tertiary transition
Chapter 1. Self-regulated learning of first-year mathematics students
Chapter 2. The societal dimension in teacher students beliefs on mathematics teaching and learning
Chapter 3. The Organization of Inter-level Communities to Address the Transition Between Secondary and Post-secondary in Mathematics
Chapter 4. Framing mathematics support measures: goals, characteristics and frame conditions
Part 2: Research on university students' mathematical practices
Chapter 5. “It is easy to see”- tacit expectations in multivariable calculus
Chapter 6. University Students’ Development of (Non-) Mathematical Practices: A Theory and its Implementation in a Study of one Introductory Real Analysis Course
Chapter 7. A theoretical account of the mathematical practices students need in order to learn from lecture
Chapter 8. The choice of arguments: considering acceptance and epistemic value in the context of local order
Chapter 9. Supporting students in developing adequate definitions at university: The case of the convergence of sequences
Chapter 10. Proving and defining in mathematics - Two intertwined mathematical practices
Part 3: Research on teaching and curriculum design
Chapter 11. Developing mathematics teaching in university tutorials: an activity perspective
Chapter 12. Conceptualizations of the role of resources for supporting teaching by university instructors
Chapter 13. The rhetoric of the flow of proof – Dissociation, presence and a shared basis of agreement
Chapter 14. Teaching Mathematics Education to Mathematics and Education
Chapter 15. Inquiry-Oriented Linear Algebra: Connecting Design-Based Research and Instructional Change Theory in Curriculum Design
Chapter 16. Profession-specific curriculum design research in mathematics teacher education: The case of abstract algebra
Chapter 17. Leveraging Collaboration, Coordination, and Curriculum Design to Transform Calculus Teaching and Learning
Part 4: Research on university students’ mathematical inquiry
Chapter 18. Real or fake inquiries? Study and research paths in statistics and engineering education
Chapter 19. Fostering inquiry and creatity in abstract algebra: the theory of banquets and its reflexive stance on the structuralist methodology
Chapter 20. Following in Cauchy’s footsteps: student inquiry in real analysis
Chapter 21. Examining the role of generic skills in inquiry-based mathematics education: the case of extreme apprenticeship
Chapter 22. On the levels and types of students’ inquiry: the case of calculus
Chapter 23. Students prove at the board in whole-class setting
Chapter 24. Preservice secondary school teachers revisiting real numbers: a striking instance of Klein’s second discontinuity
Part 5: Research on mathematics for non-specialists
Chapter 25. Mathematics in the training of engineers: Contributions of the Anthropological Theory of the Didactic
Chapter 26. For an institutional epistemology
Chapter 27. Modeling and multiple representations: Bringing together math and engineering
Chapter 28. The interface between mathematics and engineering in basic engineering courses
Chapter 29. Modifying tasks in mathematics service courses for engineers based on subject-specific analyses of engineering mathematical practices. Chapter 30. Learning mathematics through working with engineering projects
Chapter 31. Challenges for research about mathematics for non-specialists
Chapter 32. Establishing a National Research Agenda in University Mathematics Education to Inform and Improve Teaching and Learning Mathematics as a Service Subject
Chapter 33. Tertiary mathematics through the eyes of non-specialists: engineering students’ experiences and perspectives
Part 1: Research on the secondary-tertiary transition
Chapter 1. Self-regulated learning of first-year mathematics students
Chapter 2. The societal dimension in teacher students beliefs on mathematics teaching and learning
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by Alexander Kharazishvili
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-031-17033-1
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Preface
1. Real-Valued Semicontinuous Functions
2. The Oscillations of Real-Valued Functions
3. Monotone and Continuous Restrictions of Real-Valued Functions
4. Bijective Continuous Images of Absolute Null Sets
5. Projective Absolutely Nonmeasurable Functions
6. Borel Isomorphisms of Analytic Sets
7. Iterated Integrals of Real-Valued Functions of Two Real Variables
8. The Steinhaus Property, Ergocidity, and Density Points
9. Measurability Properties of H-Selectors and Partial H-Selectors
10. A Decomposition of an Uncountable Solvable Group into Three Negligible Sets
11. Negligible Sets Versus Absolutely Nonmeasurable Sets
12. Measurability Properties of Mazurkiewicz Sets
13. Extensions of Invariant Measures on R
A. A Characterization of Uncountable Sets in Terms of their Self-Mappings
B. Some Applications of Peano Type Functions
C. Almost Rigid Mathematical Structures
D. Some Unsolved Problems in Measure Theory
Bibliography
Index
Preface
1. Real-Valued Semicontinuous Functions
2. The Oscillations of Real-Valued Functions
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by Mordechai Ben-Ari
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-13566-8
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edited by Zdravko Botev, Alexander Keller, Christiane Lemieux, Bruno Tuffin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-10193-9
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Part I Pierre L’Ecuyer: Biography, Part II Invited Contributions: Monte Carlo Methods for Pricing American Options
Remarks on Levy Process Simulation
Exact Sampling for the Maximum of Infinite Memory Gaussian Processes
Truncated Multivariate Student Computations via Exponential Tilting
Quasi-Monte Carlo Methods in Portfolio Selection with Many Constraints
Geometric-Moment Contraction of G/G/1 Waiting Times
Tractability of Approximation in the Weighted Korobov Space in the Worst-Case Setting
Rare-Event Simulation via Neural Networks
Preintegration is Not Smoothing when Monotonicity Fails
Combined Derivative Estimators
A Central Limit Theorem For Empirical Quantiles in the Markov Chain Setting
Simulation of Markov Chains with Continuous State Space by Using Simple Stratified and Sudoku Latin Square Sampling
Quasi-Random Sampling with Black Box or Acceptance-Rejection Inputs
A Generalized Transformed Density Rejection Algorithm
Fast Automatic Bayesian Cubature Using Sobol’ Sampling
Rendering along the Hilbert Curve
Array-RQMC to Speed Up the Simulation for Estimating the Hitting-Time Distribution to a Rare Set of a Regenerative System
Foundations of Ranking & Selection for Simulation Optimization
Where are the Logs?
Network Reliability, Performability Metrics, Rare Events and Standard Monte Carlo
Part I Pierre L’Ecuyer: Biography, Part II Invited Contributions: Monte Carlo Methods for Pricing American Options
Remarks on Levy Process Simulation
Exact Sampling for the Maximum of Infinite Memory Gaussian Processes
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by Nerida Ellerton, M. A. (Ken) Clements
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: History of Mathematics Education ;
オンライン: https://doi.org/10.1007/978-3-030-85724-0
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1 The Scope of this Book
2 Young Children’s Introduction to Mathematics in North America Between 1607 and 1865
3. The Influence of the Cyphering Tradition on North American Elementary- And Middle-School Mathematics Between 1607 and 1865
4. Mathematics Textbooks and the Gradual Decline in the Use of Middle- to Advanced-Level Abbaco Arithmetic Between 1607 and 1865
5. The Struggle for Algebra
6. Pre-College Geometry, Trigonometry, Mensuration, Surveying, and Navigation 1607–1865
7. College Mathematics, 1607–1865
8. Different Perspectives on Mathematics in North America 1607–1865
9. Toward Mathematics for All: Answers to Research Questions, Limitations, and Possibilities for Further Research
1 The Scope of this Book
2 Young Children’s Introduction to Mathematics in North America Between 1607 and 1865
3. The Influence of the Cyphering Tradition on North American Elementary- And Middle-School Mathematics Between 1607 and 1865
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by Olaf Manz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2022
シリーズ名: Mathematics Study Resources ; 4
オンライン: https://doi.org/10.1007/978-3-662-66015-7
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Basics and history
Symmetric ciphers
Public-key ciphers
Digital signature
Basics and history
Symmetric ciphers
Public-key ciphers