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Varieties of Constructive Mathematics

Douglas Bridges, Fred Richman • Cambridge University Press eBooks (1987)

This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, wit...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511565663

The Philosophy of Mathematical Practice

Paolo Mancosu • Oxford University Press eBooks (2008)

Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, ...

OPENALEX DOI: https://doi.org/10.1093/acprof:oso/9780199296453.001.0001

Mathematical Morphology

Laurent Alain Najman, Hugues Talbot • Wiley eBooks (2013)

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, ...

OPENALEX DOI: https://doi.org/10.1002/9781118600788

Mathematical models of hysteresis

I.D. Mayergoyz • IEEE Transactions on Magnetics (1986)

A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described. The theorem, which gives the necessary and sufficient conditions for the representation of ac...

OPENALEX DOI: https://doi.org/10.1109/tmag.1986.1064347

Mathematical Reasoning

• Routledge eBooks (2013)

Contents: Preface. Part I: Introduction. L.D. English, Analogies, Metaphors, and Images: Vehicles for Mathematical Reasoning. Part II: Cognitive Foundations for a Mind-Based Mathematics. G. Lakoff, R.E. Nunez, The Metaphorical Structure of ...

OPENALEX DOI: https://doi.org/10.4324/9780203053485

A fast three-step second-order explicit numerical approach to investigating and forecasting the dynamic of corruption and poverty in Cameroon

Eric Ngondiep • Heliyon (2024)

This paper constructs a three-step second-order numerical approach for solving a mathematical model on the dynamic of corruption and poverty. The stability and error estimates of the proposed technique are analyzed using the L2-norm. The de...

DOAJ Open Access (DOAJ) DOI: 10.1016/j.heliyon.2024.e38236

Obstetric complications in children with Attention Deficit/Hyperactivity Disorder and Learning Disability

Mamatha Bhat, Natalie Grizenko, Ben-Amor L, Ridha Joober • McGill Journal of Medicine (2020)

This study aims to determine whether children with ADHD and learning disabilities (LD) have a significant history of obstetrical complications when compared to children with ADHD but without LD. Methods: Sixty-four children aged 6 to 12 yea...

DOAJ Open Access (DOAJ) DOI: 10.26443/mjm.v8i2.502

Investigating late-time cosmology using Finsler-Randers geometry and Barthel connection: Observational constraints and implications

J. Praveen, S.K. Narasimhamurthy • Nuclear Physics B (2025)

In this study we explore cosmological anisotropies and dark energy using Finsler-Randers geometry, an extension of Riemannian geometry that incorporates directional dependence in the spacetime structure. We investigate whether Finslerian mo...

DOAJ Open Access (DOAJ) DOI: 10.1016/j.nuclphysb.2025.116899

Mathematics

W. T. Gowers • Oxford University Press eBooks (2002)

The aim of Mathematics: A Very Short Introduction is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. It offers readers an insight into ...

OPENALEX DOI: https://doi.org/10.1093/actrade/9780192853615.001.0001

The Emergence of Mathematical Meaning

• Routledge eBooks (2012)

Contents: Preface. P. Cobb, H. Bauersfeld, Introduction: The Coordination of Psychological and Sociological Perspectives in Mathematics Education. P. Cobb, E. Yackel, T. Wood, The Teaching Experiment Classroom. P. Cobb, Mathematical Learnin...

OPENALEX DOI: https://doi.org/10.4324/9780203053140

The indispensability of mathematics

Mark Colyvan • Choice Reviews Online (2002)

Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best scientific t...

OPENALEX DOI: https://doi.org/10.5860/choice.39-2845

Mathematical Models in Biology

Leah Edelstein‐Keshet • Society for Industrial and Applied Mathematics eBooks (2005)

Life scientists are not always fully aware of the powerful role that mathematical models have in both answering biological research questions and in making predictions. Scientists have a clear view of the problem; they know the questions; t...

OPENALEX DOI: https://doi.org/10.1137/1.9780898719147

Mathematical Ideas in Biology

John Maynard Smith • Cambridge University Press eBooks (1968)

This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathema...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511565144

Mathematics as a science of patterns

Michael D. Resnik • Choice Reviews Online (1998)

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has ...

OPENALEX DOI: https://doi.org/10.5860/choice.35-4549

Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being

Jeffrey L. Nunemacher, George P. Lakoff, Rafael E. Núñez • American Mathematical Monthly (2002)

This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathe...

OPENALEX DOI: https://doi.org/10.2307/3072449

Changing Movements in a Changing World: Modelling Early Pleistocene and Early Middle Pleistocene Climatic and Ecological Environments and Influences on Hominin Dispersal in Eurasia

Kamilla L. Lomborg, Carolina Cucart-Mora, Jan-Olaf Reschke, Christine Hertler et al. • Journal of Computer Applications in Archaeology (2026)

In a world of drastic climatic and ecological changes, our knowledge of how the environment influenced hominin behaviour is of the utmost importance. Archaeology plays a key role in this domain, as it is the only discipline that studies emp...

DOAJ Open Access (DOAJ) DOI: 10.5334/jcaa.212

Theories of Mathematical Learning

• Routledge eBooks (2013)

Contents: Preface. Part I: P. Cobb, Sociological and Anthropological Perspectives on Mathematics Learning. P. Cobb, B. Jaworski, N. Presmeg, Emergent and Sociocultural Views of Mathematical Activity. J. Voigt, Negotiation of Mathematical Me...

OPENALEX DOI: https://doi.org/10.4324/9780203053126