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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.
In [James Maynard's 'Primes in arithmetic progressions to large moduli I: Fixed residue classes'], the author refines ideas of Bombieri-Friedlander-Iwaniec (bsky.app/profile/did:...) and combines them with the ideas of Y. Zhang (zbmath.org/1290.11128 ),.... 1/2
November 26, 2025 at 7:16 PM
In [James Maynard's 'Primes in arithmetic progressions to large moduli I: Fixed residue classes'], the author refines ideas of Bombieri-Friedlander-Iwaniec (bsky.app/profile/did:...) and combines them with the ideas of Y. Zhang (zbmath.org/1290.11128 ),.... 1/2
Happy 85th birthday to Enrico Bombieri zbmath.org/authors/bomb...! He is famous for his work in number theory. His series "Primes in arithmetic progressions to large moduli" (with J.B. Friedlander and H. Iwaniec) was reviewed in zbmath.org/0588.10042, zbmath.org/0625.10036, and zbmath.org/0674.10036
Enrico Bombieri - Author Profile - zbMATH Open
zbmath.org
November 26, 2025 at 7:12 PM
Happy 85th birthday to Enrico Bombieri zbmath.org/authors/bomb...! He is famous for his work in number theory. His series "Primes in arithmetic progressions to large moduli" (with J.B. Friedlander and H. Iwaniec) was reviewed in zbmath.org/0588.10042, zbmath.org/0625.10036, and zbmath.org/0674.10036
Happy 80th birthday to Enrico Arbarello zbmath.org/authors/arba...! He is famous for his work in algebraic geometry. His seminal 'Geometry of algebraic curves' (with M. Cornalba, Ph. Griffiths and J. Harris) was reviewed in zbmath.org/0559.14017 and zbmath.org/1235.14002.
Enrico Arbarello - Author Profile - zbMATH Open
zbmath.org
November 26, 2025 at 3:52 PM
Happy 80th birthday to Enrico Arbarello zbmath.org/authors/arba...! He is famous for his work in algebraic geometry. His seminal 'Geometry of algebraic curves' (with M. Cornalba, Ph. Griffiths and J. Harris) was reviewed in zbmath.org/0559.14017 and zbmath.org/1235.14002.
"The main result [of Satoshi Kondo/Seidai Yasuda's 'Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic'] asserts that the generalized modular symbols [defined as Borel-Moore fundamental classes of apartments indexed by 𝐹-bases] span ...1/2
Document Zbl 08009112 - zbMATH Open
zbmath.org
November 24, 2025 at 3:10 PM
"The main result [of Satoshi Kondo/Seidai Yasuda's 'Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic'] asserts that the generalized modular symbols [defined as Borel-Moore fundamental classes of apartments indexed by 𝐹-bases] span ...1/2
Todd Arbogast/Jerry L. Bona's 'Functional analysis for the applied mathematician' "is exceptionally well-written, well-prepared, easy-to-read and self-contained", says Robert Plato's review zbmath.org/8010274.
"Proofs are presented in the simplest possible and clear form, ... 1/2
"Proofs are presented in the simplest possible and clear form, ... 1/2
Document Zbl 08010274 - zbMATH Open
zbmath.org
November 21, 2025 at 10:51 PM
Todd Arbogast/Jerry L. Bona's 'Functional analysis for the applied mathematician' "is exceptionally well-written, well-prepared, easy-to-read and self-contained", says Robert Plato's review zbmath.org/8010274.
"Proofs are presented in the simplest possible and clear form, ... 1/2
"Proofs are presented in the simplest possible and clear form, ... 1/2
Mikhail Alekseevich Lavrent’ev zbmath.org/authors/lavr..., known for his work in complex analysis, was #botd 125 years ago. His classic "Методы теории функций комплексного переменного" (with B.V. Shabat) was reviewed in zbmath.org/0064.06603, zbmath.org/0088.28003, and zbmath.org/0274.30001.
Mikhail Alekseevich Lavrent’ev - Author Profile - zbMATH Open
zbmath.org
November 19, 2025 at 7:25 PM
Mikhail Alekseevich Lavrent’ev zbmath.org/authors/lavr..., known for his work in complex analysis, was #botd 125 years ago. His classic "Методы теории функций комплексного переменного" (with B.V. Shabat) was reviewed in zbmath.org/0064.06603, zbmath.org/0088.28003, and zbmath.org/0274.30001.
"Well-written and thoughtfully organized, [Alejandro Illanes's 'Continuum theory'] covers a wide range of significant and interesting topics", says David Maya's review zbmath.org/8014474.
"It presents classical results while highlighting elegant and lesser-known ones."
"It presents classical results while highlighting elegant and lesser-known ones."
Document Zbl 08014474 - zbMATH Open
zbmath.org
November 19, 2025 at 7:02 PM
"Well-written and thoughtfully organized, [Alejandro Illanes's 'Continuum theory'] covers a wide range of significant and interesting topics", says David Maya's review zbmath.org/8014474.
"It presents classical results while highlighting elegant and lesser-known ones."
"It presents classical results while highlighting elegant and lesser-known ones."
Elisabetta Barletta/Sorin Dragomir/Mohammad Hasan Shahid/Falleh R. Al-Solamy's 'Differential geometry. Advanced topics in Cauchy-Riemann and pseudohermitian geometry (Book I-D)"is the fourth volume of a series of four," says Ahmed Lesfari's review zbmath.org/8015961, "devoted to the investigation...
Document Zbl 08015961 - zbMATH Open
zbmath.org
November 18, 2025 at 10:12 AM
Elisabetta Barletta/Sorin Dragomir/Mohammad Hasan Shahid/Falleh R. Al-Solamy's 'Differential geometry. Advanced topics in Cauchy-Riemann and pseudohermitian geometry (Book I-D)"is the fourth volume of a series of four," says Ahmed Lesfari's review zbmath.org/8015961, "devoted to the investigation...
Jin Xu's 'Maximal planar graph theory and the four-color conjecture' "can be considered a comprehensive introduction to the author’s journey through the landscape of maximal planar graph theory while trying to solve one of the most famous conjectures in the field – the Four-Color Theorem", ... 1/2
Document Zbl 08026698 - zbMATH Open
zbmath.org
November 17, 2025 at 8:04 PM
Jin Xu's 'Maximal planar graph theory and the four-color conjecture' "can be considered a comprehensive introduction to the author’s journey through the landscape of maximal planar graph theory while trying to solve one of the most famous conjectures in the field – the Four-Color Theorem", ... 1/2
Eiji Ogasa's 'Four-dimensional paper constructions after Möbius, Klein and Boy' "explains for beginners how to construct surfaces in a 4-dimensional space", says Inasa Nakamura's review zbmath.org/8029543 ... 1/2
Document Zbl 08029543 - zbMATH Open
zbmath.org
November 16, 2025 at 3:17 PM
Eiji Ogasa's 'Four-dimensional paper constructions after Möbius, Klein and Boy' "explains for beginners how to construct surfaces in a 4-dimensional space", says Inasa Nakamura's review zbmath.org/8029543 ... 1/2
Grey Ballard/Tamara G. Kolda's 'Tensor decompositions for data science' "is a first course on tensors for data science students who are supposed to be familiar with basics from linear algebra, optimization and statistics", says Adhemar Bultheel's review zbmath.org/8031854.
Document Zbl 08031854 - zbMATH Open
zbmath.org
November 14, 2025 at 4:12 PM
Grey Ballard/Tamara G. Kolda's 'Tensor decompositions for data science' "is a first course on tensors for data science students who are supposed to be familiar with basics from linear algebra, optimization and statistics", says Adhemar Bultheel's review zbmath.org/8031854.
Happy 80th birthday to Judith Roitman zbmath.org/authors/roit...! She is known for her work in set theory and topology. Her book 'Basic S and L' was reviewed in zbmath.org/0594.54001.
Judith Roitman - Author Profile - zbMATH Open
zbmath.org
November 12, 2025 at 9:04 PM
Happy 80th birthday to Judith Roitman zbmath.org/authors/roit...! She is known for her work in set theory and topology. Her book 'Basic S and L' was reviewed in zbmath.org/0594.54001.
Peter J. Cameron/Pierre-Philippe Dechant/Yang-Hui He/John McKay's 'ADE. Patterns in mathematics' "presents a unifying perspective centred on the ADE pattern", says Egle Bettio's review zbmath.org/8046082.
"However, the disparity in depth between introductory and advanced chapters is significant ...
"However, the disparity in depth between introductory and advanced chapters is significant ...
Document Zbl 08046082 - zbMATH Open
zbmath.org
November 12, 2025 at 9:00 PM
Peter J. Cameron/Pierre-Philippe Dechant/Yang-Hui He/John McKay's 'ADE. Patterns in mathematics' "presents a unifying perspective centred on the ADE pattern", says Egle Bettio's review zbmath.org/8046082.
"However, the disparity in depth between introductory and advanced chapters is significant ...
"However, the disparity in depth between introductory and advanced chapters is significant ...
"This second edition retains the essential features of the original book", says Marek Golasiński's review zbmath.org/8052956 of James R.
Munkres/Steven G. Krantz/Harold R. Parks's 'Elements of algebraic topology' (the first edition was reviewed in zbmath.org/0673.55001).
"There are ... 1/2
Munkres/Steven G. Krantz/Harold R. Parks's 'Elements of algebraic topology' (the first edition was reviewed in zbmath.org/0673.55001).
"There are ... 1/2
Document Zbl 08052956 - zbMATH Open
zbmath.org
November 11, 2025 at 5:11 PM
"This second edition retains the essential features of the original book", says Marek Golasiński's review zbmath.org/8052956 of James R.
Munkres/Steven G. Krantz/Harold R. Parks's 'Elements of algebraic topology' (the first edition was reviewed in zbmath.org/0673.55001).
"There are ... 1/2
Munkres/Steven G. Krantz/Harold R. Parks's 'Elements of algebraic topology' (the first edition was reviewed in zbmath.org/0673.55001).
"There are ... 1/2
Xiao Liu/Chongchun Zeng's 'Capillary gravity water waves linearized at monotone shear flows: eigenvalues and inviscid damping' "makes two lasting contributions to the analysis of capillary-gravity water waves with shear", says Denys Dutykh's review zbmath.org/8075985.
"First, it establishes ... 1/2
"First, it establishes ... 1/2
Document Zbl 08075985 - zbMATH Open
zbmath.org
November 10, 2025 at 3:20 PM
Xiao Liu/Chongchun Zeng's 'Capillary gravity water waves linearized at monotone shear flows: eigenvalues and inviscid damping' "makes two lasting contributions to the analysis of capillary-gravity water waves with shear", says Denys Dutykh's review zbmath.org/8075985.
"First, it establishes ... 1/2
"First, it establishes ... 1/2
Ellen Henke's 'Commuting partial normal subgroups and regular localities' "makes a significant contribution to the theory of localities, which are group-like structures associated to fusion systems", says Enrico Jabara's review zbmath.org/8075990. ... 1/2
Document Zbl 08075990 - zbMATH Open
zbmath.org
November 9, 2025 at 10:21 AM
Ellen Henke's 'Commuting partial normal subgroups and regular localities' "makes a significant contribution to the theory of localities, which are group-like structures associated to fusion systems", says Enrico Jabara's review zbmath.org/8075990. ... 1/2
Hermann Weyl zbmath.org/authors/weyl..., famous for his work in mathematical physics and number theory, was #botd 140 years ago. His seminal book 'The classical groups, their invariants and representations' was reviewed in zbmath.org/0020.20601 and zbmath.org/65.0058.02.
Hermann Weyl - Author Profile - zbMATH Open
zbmath.org
November 9, 2025 at 8:18 AM
Hermann Weyl zbmath.org/authors/weyl..., famous for his work in mathematical physics and number theory, was #botd 140 years ago. His seminal book 'The classical groups, their invariants and representations' was reviewed in zbmath.org/0020.20601 and zbmath.org/65.0058.02.
In Thierry Gallouët/Raphaèle Herbin's 'Weak solutions of partial differential equations' "a modern systematic analysis is performed in investigating various classes of problems associated with partial differential equations", says Gheorghe Moroşanu's review zbmath.org/8092167. "The authors ...
Document Zbl 08092167 - zbMATH Open
zbmath.org
November 8, 2025 at 7:41 PM
In Thierry Gallouët/Raphaèle Herbin's 'Weak solutions of partial differential equations' "a modern systematic analysis is performed in investigating various classes of problems associated with partial differential equations", says Gheorghe Moroşanu's review zbmath.org/8092167. "The authors ...
Nicolas Curien's 'A random walk among random graphs' is "not intended to be a comprehensive coverage of all aspects of the subject, but rather a tour of the area with emphasis on the underlying probabilistic techniques", says David B. Penman's review zbmath.org/8098063.
Document Zbl 08098063 - zbMATH Open
zbmath.org
November 7, 2025 at 7:09 PM
Nicolas Curien's 'A random walk among random graphs' is "not intended to be a comprehensive coverage of all aspects of the subject, but rather a tour of the area with emphasis on the underlying probabilistic techniques", says David B. Penman's review zbmath.org/8098063.
Shiyu Zhao's 'Mathematical foundations of reinforcement learning' "gives a mathematical introduction to concepts, problems and algorithms in reinforcement learning, intended for graduate and senior undergraduate students, as well as for practitioners", says Martin Holeňa's review zbmath.org/7989718.
Document Zbl 07989718 - zbMATH Open
zbmath.org
November 6, 2025 at 1:05 PM
Shiyu Zhao's 'Mathematical foundations of reinforcement learning' "gives a mathematical introduction to concepts, problems and algorithms in reinforcement learning, intended for graduate and senior undergraduate students, as well as for practitioners", says Martin Holeňa's review zbmath.org/7989718.
John Frank Adams zbmath.org/authors/adam..., famous for his work on topology, was #botd 95 years ago. His seminal lecture notes 'Stable homotopy and generalised homology' was reviewed in zbmath.org/0309.55016.
John Frank Adams - Author Profile - zbMATH Open
zbmath.org
November 5, 2025 at 5:16 PM
John Frank Adams zbmath.org/authors/adam..., famous for his work on topology, was #botd 95 years ago. His seminal lecture notes 'Stable homotopy and generalised homology' was reviewed in zbmath.org/0309.55016.
Frédéric D. Vrins's 'Derivatives pricing' "is a textbook that can be used by students [..] in financial mathematics", says George Stoica's review zbmath.org/7989792.
It aims "at providing a shortcut to advanced knowledge [..] as a compromise between theory, intuition and financial reality."
It aims "at providing a shortcut to advanced knowledge [..] as a compromise between theory, intuition and financial reality."
Document Zbl 07989792 - zbMATH Open
zbmath.org
November 5, 2025 at 5:06 PM
Frédéric D. Vrins's 'Derivatives pricing' "is a textbook that can be used by students [..] in financial mathematics", says George Stoica's review zbmath.org/7989792.
It aims "at providing a shortcut to advanced knowledge [..] as a compromise between theory, intuition and financial reality."
It aims "at providing a shortcut to advanced knowledge [..] as a compromise between theory, intuition and financial reality."
Victor H. L. Rocha/Josiney A. Souza's 'Lyapunov stability of transformation semigroups' "is focused on the notion of classical Lyapunov stability, along with its generalizations, and transformation semigroups acting on general uniform topological spaces", ... 1/2
Document Zbl 08010249 - zbMATH Open
zbmath.org
November 1, 2025 at 9:20 PM
Victor H. L. Rocha/Josiney A. Souza's 'Lyapunov stability of transformation semigroups' "is focused on the notion of classical Lyapunov stability, along with its generalizations, and transformation semigroups acting on general uniform topological spaces", ... 1/2
F. Tari/M. Salarinoghabi/M. Hasegawa's 'Geometric deformations of discriminants and apparent contours' "is devoted to creating a geometric deformation theory for maps from the plane to the plane which respects the geometry of their discriminant", says R. O. Sinha's review zbmath.org/8010257 ... 1/4
Document Zbl 08010257 - zbMATH Open
zbmath.org
October 31, 2025 at 12:58 PM
F. Tari/M. Salarinoghabi/M. Hasegawa's 'Geometric deformations of discriminants and apparent contours' "is devoted to creating a geometric deformation theory for maps from the plane to the plane which respects the geometry of their discriminant", says R. O. Sinha's review zbmath.org/8010257 ... 1/4
"A rigid motion is the composition of a rotation and a translation. If one omits the rotations, one can still obtain useful [kinematic] formulas, this is the so called translative integral geometry", says Andreas Bernig's review zbmath.org/8014469 of ... 1/2
Document Zbl 08014469 - zbMATH Open
zbmath.org
October 29, 2025 at 8:11 PM
"A rigid motion is the composition of a rotation and a translation. If one omits the rotations, one can still obtain useful [kinematic] formulas, this is the so called translative integral geometry", says Andreas Bernig's review zbmath.org/8014469 of ... 1/2