mathematics

Steve Shnider

Steve Shnider is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Steve Shnider rather than just read about it. In short: Steve Shnider (Hebrew: סטיב שניידר) is a retired professor of mathematics at Bar Ilan University. He received a PhD in Mathematics from Harvard University in 1972, under Shlomo Sternberg.

Key takeaways

Steve Shnider belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Steve Shnider to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Steve Shnider from memory before moving on to harder problems.

Reference excerpt

Steve Shnider (Hebrew: סטיב שניידר) is a retired professor of mathematics at Bar Ilan University. He received a PhD in Mathematics from Harvard University in 1972, under Shlomo Sternberg. His main interests are in the differential geometry of fiber bundles; algebraic methods in the theory of deformation of geometric structures; symplectic geometry; supersymmetry; operads; and Hopf algebras. He retired in 2014.

Book on operads A 2002 book of Markl, Shnider and Stasheff Operads in algebra, topology, and physics was the first book to provide a systematic treatment of operad theory, an area of mathematics that came to prominence in 1990s and found many applications in algebraic topology, category theory, graph cohomology, representation theory, algebraic geometry, combinatorics, knot theory, moduli spaces, and other areas. The book was the subject of a Featured Review in Mathematical Reviews by Alexander A. Voronov which stated, in particular: "The first book whose main goal is the theory of operads per se ... a book such as this one has been long awaited by a wide scientific readership, including mathematicians and theoretical physicists ... a great piece of mathematical literature and will be helpful to anyone who needs to use operads, from graduate students to mature mathematicians and physicists."

Bibliography

Books Markl, Martin; Shnider, Steven; Stasheff, James D (2002), Operads in algebra, topology, and physics, Mathematical surveys and monographs, v. 96, American Mathematical Society, ISBN 978-0-8218-2134-3, OCLC 318373640 Shnider, Steven; Sternberg, Shlomo (1993), Quantum groups : from coalgebras to Drinfeld algebras : a guided tour, Graduate texts in mathematical physics, 2., International Press, cop, ISBN 978-1-57146-000-4, OCLC 438550743 Shnider, Steven; Wells, Raymond O (1989), Supermanifolds, super twistor spaces and super Yang-Mills fields, Séminaire de Mathematiques Supérieures, Séminaire Scientifique OTAN (Nato advanced study institute), Département de Mathématiques et de Statistique, Université de Montréal, 106, Montréal (Québec) Presses de l'Univ. de Montréal, ISBN 978-2-7606-0286-1, OCLC 230986063

Selected papers Katz, Mikhail G.; Schaps, David; Shnider, Steve (2013), "Almost Equal: The Method of Adequality from Diophantus to Fermat and Beyond", Perspectives on Science, 21 (3): 283–324, arXiv:1210.7750, Bibcode:2012arXiv1210.7750K, doi:10.1162/POSC_a_00101, S2CID 57569974. Bangert, Victor; Katz, Mikhail G; Shnider, Steven; Weinberger, Shmuel (2009), "E7, Wirtinger inequalities, Cayley 4-form, and homotopy", Duke Mathematical Journal, 146 (1), Duke University Press: 35–70, arXiv:math.DG/0608006, doi:10.1215/00127094-2008-061, OCLC 298960889, S2CID 2575584

References

Worked examples

Example 1 — a first encounter with Steve Shnider

Start with the simplest possible case. Write down what Steve Shnider claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Steve Shnider before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Steve Shnider ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Steve Shnider

In research: Steve Shnider appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Steve Shnider in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Steve Shnider is common in secondary-school and first-year university syllabi. It links to neighbouring topics 21st-century Israeli mathematicians, Asian mathematician stubs, Geometers, so understanding it makes those chapters shorter.
In everyday life: Look for Steve Shnider outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Steve Shnider in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Steve Shnider means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Steve Shnider out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Steve Shnider in simple terms?

Steve Shnider (Hebrew: סטיב שניידר) is a retired professor of mathematics at Bar Ilan University. He received a PhD in Mathematics from Harvard University in 1972, under Shlomo Sternberg.

Why does Steve Shnider matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Steve Shnider?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Steve Shnider.