Cloth
ISBN: 9780226698052
Will Publish April 2020
360 pages | 47 halftones | 5-1/2 x 8-1/2 | c 2020
The ideas at the root of quantum theory remain stubbornly, famously bizarre: a solid world reduced to puffs of probability; particles that tunnel through walls; cats suspended in zombielike states, neither alive nor dead; and twinned particles that share entangled fates. For more than a century,
Introduction
Quanta
1 All Quantum, No Solace
2 Life-and-Death: When Nature Refuses to Select
3 Operation: Neutrino
4 Quantum Theory by Starlight
Calculating
5 From Blackboards to Bombs
6 Boiling Electrons
7 Lies, Damn Lies, and Statistics
8 Training Quantum Mechanics
9 Zen and the Art of Textbook Publishing
Matter
10 Pipe Dreams
11 Something for Nothing
12 Higgs Hunting
13 When Fields Collide
Cosmos
14 Guess Whofs Coming to Dinner
15 Gaga for Gravitation
16 The Other Evolution Wars
17 No More Lonely Hearts
18 Learning from Gravitational Waves
19 A Farewell to Stephen Hawking
Acknowledgments
Abbreviations
Notes
Index
This unique book on commutative algebra is divided into two parts in order to
facilitate its use in several types of courses. The first introductory part covers the
basic theory, connections with algebraic geometry, computational aspects, and
extensions to module theory. The more advanced second part covers material
such as associated primes and primary decomposition, local rings, M-sequences
and Cohen-Macaulay modules, and homological methods.
A unique textbook in commutative algebra, written by an expert Consists of two
parts, to serve both introductory and advanced courses Of particular interest to
students and lecturers in algebra and algebraic geometry
Aron Simis, Federal University of Pernambuco and Brazilian Academy of
Sciences, Brazil.
De Gruyter Textbook
xvi, 340 pages
Paperback:
ISBN 978-3-11-061697-2
Date of Publication: March 2020
Language of Publication: English
Subjects: Algebra and Number Theory
Of interest to: Students and lecturers in mathematics.
Bessel functions have the peculiarity of being functions of two independent
variables: argument and order. They have been studied extensively because of
their countless applications, but the vast majority of available literature is
devoted to the case of fixed order, variable argument. This two-volume work
explores the opposite case.
This volume focuses on properties of the functions and mathematical operations
with respect to the order.
Thorough discussion of Bessel and related functions with fixed argument and
variable order.
First book on the topic using this approach.
Bessel functions find a wide range of applications in mathematics, physics,
chemistry, and engineering.
Alexander Apelblat, Ben Gurion University of the Negev, Israel.
Approx. x, 400 pages, 70 Figures (c),
Paperback:
ISBN 978-3-11-068157-4
Date of Publication: May 2020
Language of Publication: English
Subjects:Analysis
Differential Equations and Dynamical Systems
Theoretical and Mathematical Physics
Of interest to: Researchers and graduate
students in mathematics, physics, physical chemistry, engineering.
Bessel functions have the peculiarity of being functions of two independent
variables: argument and order. They have been studied extensively because of
their countless applications, but the vast majority of available literature is
devoted to the case of fixed order, variable argument. This two-volume work
explores the opposite case.
This volume collects tabulations of the first, second, and third derivatives with
respect to the order.
Thorough discussion of Bessel and related functions with fixed argument and
variable order.
First book on the topic using this approach.
Bessel functions find a wide range of applications in mathematics, physics,
chemistry, and engineering.
Alexander Apelblat, Ben Gurion University of the Negev, Israel.
Approx. x, 400 pages, 70 Figures (c),
40 Schedule (bw)
Paperback:
ISBN 978-3-11-068163-5
Date of Publication: May 2020
Language of Publication: English
Subjects:Analysis
Differential Equations and Dynamical Systems
Theoretical and Mathematical Physics
Of interest to: Researchers and graduate
students in mathematics, physics, physical chemistry, engineer
IRMA Lectures in Mathematics and Theoretical Physics Vol. 30
ISBN print 978-3-03719-203-0, ISBN online 978-3-03719-703-5
DOI 10.4171/203
February 2020, 626 pages, hardcover, 17 x 24 cm.
The present volume of the Handbook of Teichmuller theory is divided into three parts.
The first part contains surveys on various topics in Teichmuller theory, including the complex structure of Teichmuller space, the Deligne?Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmuller space, barycentric extensions of maps of the circle, and the theory of Higgs bundles.
The second part consists of three historico-geometrical articles on Tissot (a precursor of the theory of quasiconfomal mappings), Grotzsch and Lavrentieff, the two main founders of the modern theory of quasiconformal mappings.
The third part comprises English translations of five papers by Grotzsch, a paper by Lavrentieff, and three papers by Teichmuller. These nine papers are foundational essays on the theories of conformal invariants and quasiconformal mappings, with applications to conformal geometry, to the type problem and to Nevanlinna's theory. The papers are followed by commentaries that highlight the relations between them and between later works on the subject. These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmuller theory.
Keywords: Riemann surface, Teichmuller space, Deligne?Mumford compactification, universal Teichmuller space, complex geodesic, holomorphic differential, quadratic differential, projective structure, Mostow rigidity, hyperbolic structure, Fuchsian group, quasi-Fuchsian group, Kleinian group, ending lamination, Higgs bundle, higher Teichmuller theory, Douady-Earle extension, quasisymmetric map, quadiconformal mapping, type problem, conformal invariant, extremal length, extremal domain, Tissot indicatrix, almost analytic function, measurable Riemann Mapping Theorem, value distribution, Modulsatz, reduced module, line complex,
IRMA Lectures in Mathematics and Theoretical Physics Vol. 31
ISBN print 978-3-03719-204-7, ISBN online 978-3-03719-704-2
DOI 10.4171/204
February 2020, 354 pages, softcover, 17 x 24 cm.
This is volume 1 of a 2-volume work comprising a total of 14 refereed research articles which stem from the CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications), held at the Centre International de Rencontres Mathematiques in Luminy, France, from June 26 to 30, 2017.
The conference did notably emphasise the role of Hopf algebraic techniques and related concepts (e.g. Rota?Baxter algebras, operads, Ecallefs mould calculus) which have lately proved pervasive in combinatorics, but also in many other fields, from multiple zeta values to the algebraic study of control systems and the theory of rough paths.
The volumes should be useful to researchers or graduate students in mathematics working in these domains and to theoretical physicists involved with resurgent functions and alien calculus.
Keywords: Operad, Hopf algebra, algebraic combinatorics, moulds, renormalization, periods, multiple zeta values, resurgent functions, alien calculus, vector fields, diffeomorphisms
IRMA Lectures in Mathematics and Theoretical Physics Vol. 32
ISBN print 978-3-03719-205-4, ISBN online 978-3-03719-705-9
DOI 10.4171/205
February 2020, 396 pages, softcover, 17 x 24 cm.
This is volume 2 of a 2-volume work comprising a total of 14 refereed research articles which stem from the CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications), held at the Centre International de Rencontres Mathematiques in Luminy, France, from June 26 to 30, 2017.
The conference did notably emphasise the role of Hopf algebraic techniques and related concepts (e.g. Rota?Baxter algebras, operads, Ecallefs mould calculus) which have lately proved pervasive in combinatorics, but also in many other fields, from multiple zeta values to the algebraic study of control systems and the theory of rough paths.
The volumes should be useful to researchers or graduate students in mathematics working in these domains and to theoretical physicists involved with resurgent functions and alien calculus.
Keywords: Operad, Hopf algebra, algebraic combinatorics, moulds, renormalization, periods, multiple zeta values, resurgent functions, alien calculus, vector fields, diffeomorphisms