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1. www.experimentalmath.info › books › expmath-probsSample Problems of Experimental Mathematics

   www.experimentalmath.info › books › expmath-probs

   Success in solving these problems requires a broad knowledge of mathematics and numerical analysis, together with signiflcant computational efiort to obtain solutions and ensure correctness of the results.

2. users.rowan.edu › ~nguyen › experimentalmathMathematics by Experiment: Exploring Patterns of Integer ...

   users.rowan.edu › ~nguyen › experimentalmath

   Thus, experimental mathematics refers to an approach of studying mathematics where a field can be effectively studied using advanced computing technology such as computer algebra systems. This approach developed and grown so quickly as the present.

3. www.ams.org › notices › 200505Experimental Mathematics: Examples, Methods and Implications

   www.ams.org › notices › 200505

   Introduction. Recent years have seen the flowering of “experi-mental” mathematics, namely the utilization of modern computer technology as an active tool in mathematical research. This development is not. David H. Bailey is at the Lawrence Berkeley National Laboratory, Berkeley, CA 94720.

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4. cie-advances.asme.org › public › virtual-libraryDefinition Of Experiment In Math Copy - cie-advances.asme.org

   cie-advances.asme.org › public › virtual-library

   Definition Of Experiment In Math: The Computer as Crucible Jonathan Borwein,Keith Devlin,2008-10-28 Keith Devlin and Jonathan Borwein two well known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in

5. www2.math.upenn.edu › ~wilf › websiteMathematics: An Experimental Science - University of Pennsylvania

   www2.math.upenn.edu › ~wilf › website

   It begins with wondering what a particular situation looks like in detail; it contin-ues with some computer experiments to show the structure of that situation for a selection of small values of the parameters of the problem; and then comes the human part: the mathematician gazes at the computer output, attempting to see and to codify some patte...

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6. link.springer.com › referenceworkentry › 10Experimental Mathematics in Mathematical Practice

   link.springer.com › referenceworkentry › 10

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   Nov 4, 2023 · The chapter is rich in examples illustrating their varied use of thought-experiments in mathematics. They range from simple examples such as the mutilated check-board to examples of how thought-examples play a role in contemporary mathematics.

7. People also ask

   What is “experimental mathematics”?

   • The label “experimental mathematics” is today associated with the recent trend of using computer-based methods in mathematical research.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   Do thought experiments exist in mathematics?

   • Irina Starikova’s “Thought experiments in mathematics: from fiction to facts” consider the particular case of thought-experiments in mathematics. Starikova notes that philosophers have argued that thought experiments cannot exist in mathematics since experiments are a form of a posteriori reasoning whereas mathematics is a priori.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   What is a mathematical experiment?

   • Mathematicians have since long performed “experiments,” for example, in the form of computations, trying out and rejecting ideas. Tradition, however, prescribes that mathematics is presented in the form of definitions, propositions, and proofs that hides the work that came before.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   What are some examples of thought-experiments in mathematics?

   • The chapter is rich in examples illustrating their varied use of thought-experiments in mathematics. They range from simple examples such as the mutilated check-board to examples of how thought-examples play a role in contemporary mathematics.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   Are experiments a new phenomenon in mathematics?

   • In addition, the use of experiments in mathematics (in some interpretations of the term) is not a new phenomenon. Mathematicians have since long performed “experiments,” for example, in the form of computations, trying out and rejecting ideas.

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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   Are mathematical experiments based on a computer?

   • This is also noted in the aims of the journal Experimental Mathematics: “Many mathematical experiments these days are carried out on computers, but others are still the result of pencil-and-paper work, and there are other experimental techniques, like building physical models.” 1

   Experimental Mathematics in Mathematical Practice

   link.springer.com/referenceworkentry/10.1007/978-3-030-19071-2_121-1

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8. www2.math.upenn.edu › ExperimentalMathematicsMathematics: An Experimental Science - math.upenn.edu

   www2.math.upenn.edu › ExperimentalMathematics

   I had an occasion recently to need the solution to a certain partial differential equation that arose in connection with a research problem that was posed by Graham, Knuth and Patashnik in [10]. It was a first order linear PDE, so in principle the method of characteristics should give the solu-tion. As those who have tried that method know,