Format: Hardback, 440 pages, height x width: 235x155 mm, 10 Tables, color; 12 Illustrations, color;
21 Illustrations, black and white; X, 440 p. 33 illus., 12 illus. in color.
Series: Fields Institute Communications 86
Pub. Date: 24-Apr-2024
ISBN-13: 9783031486784
This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible surveys of topics in combinatorial designs and related topics, ranging from a tutorial survey of connections to classical group theory, to surveys of "hot topics" in current research. It also contains a prospective paper identifying topics for future research efforts, co-authored by one of the elder statesmen of the field, Alex Rosa. Finally, the research papers examine topics ranging from pure mathematics to applied work in computing, networking, communications, and cryptography.
For students and newcomers to these topics, the volume provides accessible survey material that does not have onerous prerequisites. The breadth of topics reflects the vibrancy of the field in a way that can be appreciated by all researchers. The papers present important advances on theory and applications, which also benefit advanced researchers.
Preface.- Introduction.- Mutually orthogonal binary frequency squares of
mixed type.- Heffter arrays from finite fields.- A survey on constructive
resolution methods for the Oberwolfach problem and its varients.-
Asymptomatic existence of egalitarian Steiner 2-designs.- Private
computations on set intersection.- Colourings of path systems.- A New Lower
Bound on the Share Size of Leakage Resilient Secret Sharing Schemes.- Small
transitive homogenous 3-(v,{4,6}, 1) designs.- Cryptography, Codes, and Keys:
An Authenticated Key Exchange Protocol from Code-Based Cryptography.- Aspects
of Methods for Constructing Random Steiner Triple Systems.- Decomposing
Complete Graphs into Isomorphic Complete Multipartite Graphs.- Cover-Free
Families: constructions, applications and generalizations.- Group rings and
character sums: tricks of the trade.- An alternative existence proof for
LSTS(24k+1).- On a class of optimal constant weight codes.- Quaternary
Legendre pairs.- Self orthogonal Latin squares and Room squares.- On the
spectrum of large sets plus of partitioned incomplete Latin squares with type
gn(2g)1.- On the Optimization of Pippenger's Bucket Method for
Precomputation.- Block Size Five - Quo Vadis?.- A survey of Heffter arrays.-
Orthogonal and strong frame starters, revisited.- An efficient Screening
Method.- Bibliography.- Index.
Format: Paperback / softback, 340 pages, height x width: 235x155 mm, 23 Illustrations, color;
27 Illustrations, black and white; VI, 340 p. 50 illus., 23 illus. in color.
Series: UNITEXT 158
Pub. Date: 31-Mar-2024
ISBN-13: 9783031514135
This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics. In particular, several parts of the first ten chapters can be used in a course of linear algebra, affine and Euclidean geometry by students of some branches of engineering and computer science. Chapter 11 may be useful as an elementary introduction to algebraic geometry for advanced undergraduate and graduate students of mathematics. Chapters 12 and 13 may be a part of a course on non-Euclidean geometry for mathematics students. Chapter 13 may be of some interest for students of theoretical physics (Galilean and Einsteins general relativity). It provides full proofs and includes many examples and exercises. The covered topics include vector spaces and quadratic forms, affine and projective spaces over an arbitrary field; Euclidean spaces; some synthetic affine, Euclidean and projective geometry; affine and projective hyperquadrics with coefficients in an arbitrary field of characteristic different from 2; Bezouts theorem for curves of P^2 (K), where K is a fixed algebraically closed field of arbitrary characteristic; and Cayley-Klein geometries.
1 Linear Algebra.- 2 Bilinear and quadratic forms.- 3 Affine Spaces.- 4
Euclidean Spaces.- 5 Affine hyperquadrics.- 6 Projective Spaces.- 7
Desargues' Axiom.- 8 General Linear Projective Automorphisms.- 9 Affine
Geometry and Projective Geometry.- 10 Projective hyperquadrics.- 11 Bezout's
Theorem for Curves of P^2(K).- 12 Absolute plane geometry.- 13 Cayley-Klein
Geometries
Format: Hardback, 315 pages, height x width: 235x155 mm, 47 Tables, color; 47 Illustrations, color;
5 Illustrations, black and white; X, 315 p. 52 illus., 47 illus. in color.
Series: Springer Proceedings in Mathematics & Statistics 439
Pub. Date: 17-Apr-2024
ISBN-13: 9783031492174
These proceedings gather selected, peer-reviewed papers presented at the IV International Conference on Mathematics and its Applications in Science and Engineering ICMASE 2023, held on July 1214, 2023 by the University Center of Technology and Digital Arts (U-tad) in Madrid, Spain.
Papers in this volume cover new developments in applications of mathematics in science and engineering, with an emphasis on mathematical and computational modeling of real-world problems. Topics range from the use of differential equations to model mechanical structures to the employ of number theory in the development of information security and cryptography. Educational issues specific to the acquisition of mathematical competencies by engineering and science students at all university levels are also touched on.
Researchers, practitioners, and university students can significantly benefit from this volume, especially those seeking advanced methods for applying mathematics to various contexts and fields.
Chapter. 1. Modeling of Nitrogen, Phosphorus, and
Potassium Concentrations in Lakes Affected by Soil FertilizationChapter.
2. p-numerical semigroups of the triples of the sequence (an bn)/(a
b)Chapter. 3. Some Identities for Balancing and Lucas-balancing Numbers in
Bidimensional VersionChapter. 4. Sequences of uncountable iterated
function systems. The convergence of the sequences of fractals and fractal
measures associated
Chapter. 5. Method of Hydrodynamic Images and
Quantum Calculus in Fock-Bargmann Representation of Quantum StatesChapter.
6. On Leonardo numbers and Fibonacci fundamental systemChapter. 7. A
quadratic estimation approach from fading measurements subject to deception
attacksChapter. 8. SOLO Taxonomy in the evaluation of engineering students: a
case study in mathematicsChapter. 9. Is Collaborative Learning a Voluntary
Process?Chapter. 10. Elliptic Biquaternionic Sequence with Vietoris' Numbers
as its ComponentsChapter. 11. Teaching mathematics in STEM educationChapter.
12. Application of Discrete Wavelet Transform and Tree-Based Ensemble Machine
Learning for Modeling of Particulate Matter ConcentrationsChapter. 13. Fixed
Point Theorems in Orthogonal F-Metric SpacesChapter. 14. New Trends on
Malware Propagation: from IoT Environments to Drone SwarmsChapter. 15. Forms
of Assessment in view of Development of Mathematical CompetenciesChapter.
16. Deep-Control of Memory via Stochastic Optimal Control and Deep
LearningChapter. 17. Exponentiated Weibull Mixture Cure Model to
Handle Right-Censored Data SetChapter. 18. On strong fuzzy partial metric
spacesChapter. 19. An Application of Linear Diophantine Fuzzy Sets to the
Edge Detection TechniquesChapter. 20. Delamination Resistance of Laminated
Glass Plates Having Ethyl Vinyl Acetate, Polyvinyl Butyral and
Sentryglas Plus InterlayerChapter. 21. Algebraic and Quantum Mechanical
Approach to SpinorsChapter. 22. New G-Closed Sets With Related to an
IdealChapter. 23. Service-learning activity in a Statistics courseChapter.
24. Fermatean Fuzzy Type a Three-Way Correlation CoefficientsChapter. 25. On
Some Gaussian Oresme Numbers
Format: Hardback, 1011 pages, height x width: 235x155 mm, 13 Illustrations, color; 12 Illustrations, black and white; X, 1011 p. 25 illus., 13 illus. in color.
Pub. Date: 16-Apr-2024
ISBN-13: 9783031501463
This authoritative volume covers aspects of the life and enduring mathematical research of Srinivasa Ramanujan. Born in the late 19th century, Ramanujan had almost no formal training in pure mathematics. This iconic figure made extraordinary contributions to many aspects of mathematical analysis and number theory. During his short life, Ramanujan published 37 papers and curated in several notebooks more than 3900 identities which he recorded without proof. Nearly all of his claims that were new have now been proven correct. He stated numerous results that were both original and highly unconventional. Many of these identities have led to major achievements in a wide range of areas of pure mathematics and theoretical physics. The eight editors of this Handbook have assembled details on all aspects of Ramanujanfs life and mathematical legacy with a focus on the evolution of his discoveries into many important sub-disciplines of current mathematical research. Included are 234 articles supplied by 88 authors. The book will be of interest to students, teachers, researchers and anyone who is intrigued by the legacy of one of the most striking figures in the history of mathematics.
Format: Hardback, height x width: 235x155 mm, Approx. 170 p.
Series: Moscow Lectures 10
Pub. Date: 18-Apr-2024
ISBN-13: 9783031503405
This book is devoted to combinatorial aspects of the theory of symmetric functions. This rich, interesting and highly nontrivial part of algebraic combinatorics has numerous applications to algebraic geometry, topology, representation theory and other areas of mathematics. Along with classical material, such as Schur polynomials and Young diagrams, less standard subjects are also covered, including Schubert polynomials and DanilovKoshevoy arrays. Requiring only standard prerequisites in algebra and discrete mathematics, the book will be accessible to undergraduate students and can serve as a basis for a semester-long course. It contains more than a hundred exercises of various difficulty, with hints and solutions. Primarily aimed at undergraduate and graduate students, it will also be of interest to anyone who wishes to learn more about modern algebraic combinatorics and its usage in other areas of mathematics.
Schur Polynomials and Young Diagrams.- Arrays and the
Littlewood-Richardson Rule.-
Schubert Polynomials and Pipe-Dreams.
Format: Hardback, height x width: 235x155 mm, Approx. 225 p
Series: Bolyai Society Mathematical Studies 29
Pub. Date: 26-Apr-2024
ISBN-13: 9783031504655
The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on
classical optimal transport and Wasserstein gradient flows dynamics and quantum optimal transport quantum couplings and many-body problems quantum channels and qubits
These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erdos Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.
Preface.
Chapter 1. An Introduction to Optimal Transport and Wasserstein Gradient Flows by Alessio Figalli.
Chapter 2. Dynamics and Quantum Optimal Transport:Three Lectures on Quantum Entropy and Quantum Markov Semigroups by Eric A. Carlen.
Chapter 3. Quantum Couplings and Many-body Problems by Francois Golse.
Chapter 4. Quantum Channels and Qubits by Giacomo De Palma and Dario Trevisan.
Chapter 5. Entropic Regularised Optimal Transport in a Noncommutative Setting by Lorenzo Portinale.
Chapter 6. Logarithmic Sobolev Inequalities for Finite Dimensional Quantum Markov Chains by Cambyse Rouze.