zbMATH Open

... "In doing so, the authors simplify and expand the available literature, presenting it in an organic way and proving new results in some instances. This makes the book accessible to beginners while making it an interesting read (and in some cases an inescapable one) to experts in the field." 2/2

Xavier Fernández-Real/Xavier Ros-Oton's 'Integro-differential elliptic equations' "ranges from introductory material for the very basic features of the operator to state-of-the-art results in the regularity theory for solutions", says Nicola Abatangelo's review zbmath.org/1567.35002. ... 1/2

... range of topics, such as extensionality and intensionality, Sachverhalte, mind, perception, understanding, imagination and sensuousness, first cause, Aristotle, Plato, and Thomas Aquinas, dressed in words such as ‘God’, ‘soul’, ‘consciousness’, ‘spirit’, ‘mind’, ‘intellect’, and ‘reason’." 2/2

"Once again with a very informative introduction and copious notes, vol. 5 'Maximen' of Gödel’s notebooks, written in 1942, is concerned with philosophy, psychology, theology, foundations, and mathematics", says V. Pambuccian's review zbmath.org/1567.01035.
"The observations concern a wide ... 1/2

... linear isomorphism; the Heinrich-Mankiewicz theorem; uniform homeomorphisms and uniform embeddings of Banach spaces", says Dirk Werner's review zbmath.org/1566.46001.
"Altogether, the Kalton lectures are an ideal entry point to this intriguing facet of contemporary functional analysis." 2/2

Adam Bowers's 'Nigel Kalton’s lectures in nonlinear functional analysis' "covers a lot of ground: absolute Lipschitz retracts; Kirszbraun’s extension theorem; Michael’s selection theorem; Lipschitz functions and maps and their differentiability; Arens-Eells spaces; the problem of Lipschitz vs....1/2

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"The architecture of each chapter is innovative. There are traditional theorems and their proofs, but mainly the exposition is arranged as a series of exercises and examples. This approach is absolutely engaging for the potential students." 2/2

"Writing a textbook on noncommutative geometry looks like an insurmountable obstacle [..but..] Heath
Emerson's 'An introduction to C*-algebras and noncommutative geometry' overcomes all these difficulties with great success", says Igor Nikolaev's review zbmath.org/1566.46002 ... 1/2

... says Jervin Zen Lobo's review zbmath.org/1566.35001.
"Principally, the book is well suited for beginners as well as advanced students, researchers, and practitioners in applied mathematics and mathematical physics." 2/2

Ranis Ibragimov's 'Lie group analysis of differential equations. Invariant solutions of nonlinear physical phenomena' "is a comprehensive text, focusing on the interplay between Lie group theory and nonlinear differential equations, particularly those arising in physical contexts", ... 1/2

Martina Zähle's 'Lectures on fractal geometry' "gives a concise introduction to fractal geometry with a focus on dimension theory", says J. Neunhäuserer's review zbmath.org/1566.28002. "The book is very well written. We recommend it to students interested in fractal geometry and dimension theory."

Naum Il’ich Akhiezer zbmath.org/authors/akhi..., famous for his work on approximation annd operator theory, was #botd 125 years ago. His monograph "The classical moment problem and some related questions in analysis" was reviewed in zbmath.org/0135.33803.

... It provides the reader with a comprehensive approach to equilibrium stability, bifurcation, and structural dynamics, combined with rigorous mathematical analysis and innovative computational methods." 2/2

Angelo Luongo/Manuel Ferretti/Simona Di Nino's 'Stability and bifurcation of structures. Statical and dynamical systems' " is a meticulously crafted and highly valuable resource for students, researchers, and practicing engineers", says Joseph Páez Chávez's review zbmath.org/1566.37002 ... 1/2

... "It considers the following classes: heavy-tailed distributions; regularly varying distributions; consistently varying distributions; long-tailed distributions and related distributions; dominatedly varying distributions; subexponential and related distributions." 2/2

Remigijus Leipus/Jonas Šiaulys/Dimitrios Konstantinides's 'Closure properties for heavy-tailed and related distributions. An overview' "provides an overview of the state-of-the-art in the studied area", says Oleg K. Zakusilo's review https://
zbmath.org/1566.60001. ... 1/2

Anton Puchta https://
zbmath.org/authors/puchta.a, known for his work in geometry, was #botd 175 years ago. "Loxodromen und kürzeste Linien auf dem Kreisring" was reviewed in zbmath.org/22.0808.02.

... and the present book, though (as it should be) difficult to access, is welcome. The author is not afraid of tackling this difficult topic and he deserves our thanks. In particular, he tries to clear up a ``whole cluster of confusions" concerning Peirce’s theory of abduction. 2/2

"Peirce was one of the great logicians of his time, and this book is about his work on logic", says A. Papadopoulos's review zbmath.org/1566.03004 of Richard Kenneth Atkins's 'Peirce on inference'.
"To make a synthesis of Peirce’s work on logic is a hard undertaking, ... 1/2

Grete Hermann zbmath.org/authors/herm..., known for her work in mathemathical physics and algebra, was #botd 125 years ago. "Homer nodded: von Neumann’s surprising oversight" zbmath.org/1415.81010 describes how she pointed out to the gap in von Neumann’s "no-hidden-variables theorem".

... "The authors give some suggestions how to use the book for courses in universal algebra, algebraic logic (basic track) and algebraic logic (advanced track). (Universal algebraic) logic." 2/2

Hajnal Andréka/Zalán Gyenis/István Németi/Ildikó Sain's 'Universal algebraic logic. Dedicated to the unity of science' "can also serve as a basis for different courses for students of logic, mathematics, or philosophy" says Jānis Cīrulis's review zbmath.org/1566.03001 ... 1/2

... both to readers engaged with the technical aspects of modal logic, and to those more interested in its conceptual foundations and philosophical implications. By bridging formal results with broader interpretative insights, it offers something valuable to specialists and generalists alike." 2/2

Stefania Centrone/Pierluigi Minari's 'Oskar Becker, On the logic of modalities: translation, commentary and analysis' "presents Becker’s contributions to modal logic in [ zbmath.org/56.0037.09], says Xavier Parent's review zbmath.org/1566.03008.
"Overall, the book should appeal to a wide audience..

Masatoshi Gündüz Ikeda zbmath.org/authors/iked..., known for his work in algebraic number theory, was #botd 100 years ago. His paper "Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren" was reviewed in zbmath.org/0095.02901.

... zbmath.org/1566.14002.
"Applications are found in several other domains such as number theory and representation theory. For a reader wishing to explore the world of mixed motives, this book is a good introductory material after learning the basics of Voevodsky’s theory." 2/2

Denis-Charles Cisinski/Frédéric Déglise's 'Triangulated categories of mixed motives' "is an excellent introduction to six functors formalism in the motivic framework, and gives a full account on aspects of the theory of mixed motives with rational coefficients", says Fangzhou Jin's review ... 1/2

Happy 80th birthday to Grigoriĭ Aleksandrovich Margulis zbmath.org/authors/marg...! He is famous for his work in Lie groups, ergodic, and number theory. His seminal monograph "Discrete subgroups of semisimple Lie groups" was reviewed in zbmath.org/0732.22008.

... says Canan Şişman's review zbmath.org/1565.01001.
"Thus, the work offers a crucial perspective by demonstrating that mathematics should be understood not merely as a technical field, but as a discipline enriched by its historical, cultural, and artistic aspects." 2/2

Eli Maor's 'Pentagons and pentagrams. An illustrated history' "reveals the versatile effects of the pentagon and pentagram, which are mathematical figures, in many fields such as art, philosophy, architecture and natural sciences throughout two and a half thousand years of history", ... 1/2