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zbMATH Open is the world’s most comprehensive and longest-running reviewing service in mathematics, edited by the European Mathematical Society, the Heidelberg Academy of Sciences and Humanities, and FIZ Karlsruhe.

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zbMATH Open @zbmathopen.bsky.social · 1d

Alfred Haar zbmath.org/authors/haar..., famous for his work in harmonic analysis, was #botd 140 years ago.
"Der Massbegriff in der Theorie der kontinuierlichen Gruppen", introducing what is now known as Haar measure, was reviewed in zbmath.org/59.0432.01 and zbmath.org/0006.10103.

Alfred Haar - Author Profile - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 1d

...necessary since many new results have been obtained in the meantime."
"This is a technical book of encyclopedic nature. It has been carefully written and contains much to the delight of the specialist. Anyone working on K3 surfaces and Enriques surfaces should have it ready on the bookshelf." 2/2

zbMATH Open @zbmathopen.bsky.social · 1d

F. Cossec/I. Dolgachev/Ch. Liedtke's 'Enriques surfaces I" is the second edition of [https://zbmath.org/0665.14017]", says Chris Peters's review [Zbl 0665.14017]. "Part 2 of the book finally appeared, after 36 years. As a consequence, part 1 required a thorough revision."
"This was clearly ... 1/2

zbMATH Open @zbmathopen.bsky.social · 2d

... says Stanley Chang's review zbmath.org/8052356.
"The central objects of study are certain 𝘊*-algebras arising in large-scale geometry, including Roe algebras, structure algebras, and localization algebras, along with their 𝘒-theory groups." 2/2

Document Zbl 08052356 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 2d

Paolo Piazza/Thomas Schick/Vito Felice Zenobi's 'Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature' "develops a framework that connects the analytic surgery sequence in 𝘒-theory to the topological surgery sequence", ... 1/2

Document Zbl 08052356 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 3d

..."These are represented in the model by generalized functions like Dirac delta functions[..] or more generally by piecewise linear functions. To approximate these models, the classical approximation techniques based on smooth functions[..] are not able to deal with these because of overshoots."2/2

zbMATH Open @zbmathopen.bsky.social · 3d

"The main message of [Sergei Aliukov's 'Approximation theory and applications'] is that many systems in economics, science, and engineering problems are not always smooth, but they can experience impulsive peaks and sudden disruptive changes", says Adhemar Bultheel's review zbmath.org/8010774 ..1/2

Document Zbl 08010774 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 4d

Congratulations to Susumu Kitagawa, Richard Robson, and Omar M. Yaghi zbmath.org/authors/yagh... for being awarded the 2025 #NobelPrize in Chemistry!

zbMATH Open @zbmathopen.bsky.social · 4d

... results are analyzed.
"The authors follow a good investigative and inquisitive mode of exposition, asking many questions and making hypotheses about the mathematical content of the works they explore. This is one of the reasons that this monograph could also be used for research purposes." 2/2

zbMATH Open @zbmathopen.bsky.social · 4d

Andrea Del Centina/Alessandro Gimigliano's 'From here to infinity''s "focus is projective geometry, but the reader can learn a lot about geometry in general,", says Radoslav M. Dimitrić's review zbmath.org/7944192.
"It is important to emphasize that this is a mathematical history in that the ... 1/2

Document Zbl 07944192 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 5d

Congratulation to John Clarke, Michel H. Devoret zbmath.org/authors/devo... and John M. Martinis zbmath.org/authors/mart... for being awarded the 2025 #NobelPrize in physics!

zbMATH Open @zbmathopen.bsky.social · 7d

... "Having a treatment of the theory of multicategories, which are also known as colored operads in other sources, is also of interest for other purposes, in particular for its role in algebraic K-theory, and this book devotes a good deal of attention to different approaches to it." 2/2

zbMATH Open @zbmathopen.bsky.social · 7d

"The purpose of [Niles Johnson/Donald Yau's 'Homotopy theory of enriched Mackey functors'] is to develop the theory of enriched Mackey functors quite generally, via the tools of enriched multicategories and similar structures", says Julie Bergner's review zbmath.org/7950550. ... 1/2

zbMATH Open @zbmathopen.bsky.social · 9d

...on the other", says Thomas B. Ward's review zbmath.org/7954547.
"While the objective is to build up to a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts, a broad and attractive theory is systematically developed on both sides."2/2

Document Zbl 07954547 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 9d

Kengo Matsumoto's 'Symbolic dynamical systems and C*-algebras' "gives a systematic and careful development of the rich interplay between topological Markov shifts and their equivalences and invariants on the one hand and the theory of Cuntz-Krieger algebras and their equivalences and invariants..1/2

Document Zbl 07954547 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 10d

Abdallah Afoukal/Brahim Es-sebbar/Khalil Ezzinbi/Gaston N’Guérékata's "Almost periodicity and almost automorphy" studies "the qualitative theory of some differential equations", says Issa Zabsonre's review zbmath.org/7982382. This book contains many numerical examples of dynamical systems.

Document Zbl 07982382 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 10d

"One of the main goals of [J. Kaad/D. Kyed's 'The quantum metric structure of quantum SU(2)'] is to investigate the metric geometry governed by the Dirac operators", says V. Milani zbmath.org/8029702.
"This is done by connecting the construction to Rieffel’s theory of compact quantum metric spaces."

Document Zbl 08029702 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 12d

... "In particular, the aim of the paper is according to the author, 'giving a definitive solution to the problem of describing conjugacy classes in arbitrary Coxeter groups in terms of cyclic shifts.'" 2/2

zbMATH Open @zbmathopen.bsky.social · 12d

T. Marquis's 'Structure of conjugacy classes in Coxeter groups' "claims that the most natural elementary operation one might consider for the conjugacy problem is that of a cyclic shift', says Kıvanç Ersoy's review zbmath.org/8049139. ... 1/2

Document Zbl 08049139 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 13d

... (the right-hand sides of the equations) initial conditions, and convolution kernels", says Pu-Zhao Kow's review zbmath.org/8044598.
"It primarily compiles a collection of published papers on these topics." 2/2

Document Zbl 08044598 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 13d

Durdimurod K. Durdiev's 'Inverse problems for fractional diffusion equations' "explores a range of problems related to the time-fractional diffusion equation, including inverse coefficient problems and inverse problems concerning the determination of source terms ... 1/2

Document Zbl 08044598 - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 14d

...This translation by C.A. Schroeder, finally makes this classic more widely accessible. The notation has been updated to match modern usage, replacing the older German symbols. The translation is of excellent quality and the text was also checked and updated by several well-known group theorists."

zbMATH Open @zbmathopen.bsky.social · 14d

"When B. Huppert, a major authority in twentieth-century group theory, published Vol I of 'Endliche Gruppen' [https://zbmath.org/0217.07201], it soon became one of the most important books in the theory of finite groups", begins K. Ersoy's review zbmath.org/8044979 of B. Huppert's 'Finite groups'...

zbMATH Open @zbmathopen.bsky.social · 14d

Martin David Kruskal zbmath.org/authors/krus..., known for his work in PDE and mathematical physics, was #botd 100 years ago. His paper `Maximal extension of Schwarzschild metric' was reviewed in zbmath.org/0098.19001.

Martin David Kruskal - Author Profile - zbMATH Open

zbMATH Open @zbmathopen.bsky.social · 17d

..says Radoslav M. Dimitrić's review zbmath.org/7944192.
"It could be comfortably used as a base for textbooks for courses on (projective) geometry. Art historians (including architects) may find interesting information on perspective and the role it played in development of projective geometry."2/2

Document Zbl 07944192 - zbMATH Open