Conference proceedings
Apr 2026
This book is open access, which means that you have free and unlimited access
Part of the Women in Numbers network
Highlights the research of women in number theory
Presents new and original cutting-edge research
Part of the book series: Association for Women in Mathematics Series (AWMS, volume 39)
This is an open access volume and it containscontains several number theory contributions, most of which were written in connection to the workshop WIN6: Women in Numbers, held in March 2023, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. The chapters comprise research outcomes from collaborations initiated during the workshop as well as other original research contributions. The volume also aims to introduce central research topics in number theory to advanced graduate students and recent PhDs. In this book, more background and details will be given than in standard journal papers.
The workshop and this volume are part of the Women in Numbers network, aimed at highlighting the research of women in number theory as well as increasing their participation and bolstering collaborations of women mathematicians in number theory and related fields.
Conference proceedings
May 2026
Contains interdisciplinary relevance and applications
Provides emerging research community
Is a breakthrough discoveries and high-impact results
Part of the book series: Springer INdAM Series (SINDAMS, volume 66)
This book compiles contributions primarily from young scholars who participated in the Workshop on Complex Analysis, Fourier Analysis, and Operator Theory 2, held in Rome in September 2022. This workshop was funded by the Istituto Nazionale di Alta Matematica (INdAM) and took place at the institute's Rome headquarters. The research topics addressed during the workshop encompass areas such as complex analysis, Fourier analysis, and operator theory, with significant connections to complex geometry, the spectral theory of canonical systems, applications to frame theory, and thus, signal theory.
Conference proceedings
Feb 2026
Covers modern topics in analysis and partial differential equations
Fosters international collaboration
Gives an overview of recent developments in modern problems and methods of mathematical physics and their applications
Part of the book series: Trends in Mathematics (TM, volume 16)
Part of the book sub series: Research Perspectives Ghent Analysis and PDE Center (RPGAPC)
This volume is a collection of selected peer-reviewed scientific results presented at the conference "Modern Methods in Mathematical Physics and their Applications" held in Uzbekistan from April 22 to 24, 2025. The aim of the conference was to exchange ideas as well as foster international collaboration. The main topics include algebra and analysis, direct and inverse problems for differential equations (both integer and fractional-order), spectral theory of differential operators, mathematical modeling, and computational mathematics. The book will be of interest to researchers working in these fields.
Textbook
Feb 2026
Accessible to a range of undergraduate students and independent learners with a modest level of mathematical maturity
Provides an abundance of illustrative examples and exercises of varying difficulty to galvanize understanding of content
Some emphasis on the fundamentals of enumeration and generating functions
Part of the book series: Undergraduate Texts in Mathematics (UTM)
This undergraduate text is designed for a single-semester introductory course in discrete mathematics. It is aimed at students of mathematics and computer science, as well as problem-solving enthusiasts or anyone with some familiarity with proofs seeking a concise introduction to the subject. The primary goal is to acquaint readers with key structures and ideas in combinatorial and discrete mathematics that will support further study in mathematics and its applications.
Requiring minimal prerequisites, the book seeks to build appreciation while offering a clear foundation for developing combinatorial reasoning. Special attention is given to the basics of enumeration and generating functions. Background concepts are presented accessibly, and examples appear early and frequently. When suitable, multiple proofs are provided for the same result, offering insight into mathematical thinking and the interconnectedness of ideas. Each chapter concludes with a selection of exercises spanning a wide range of difficulty, and a collection of hints and solutions is included at the end of the book.
Textbook
Mar 2026
An introduction to ODEs with an emphasis on students in engineering and other physical science programs
Includes concepts and models that encourage application and discussion of ODEs across disciplines
Includes an introduction to Laplace transforms, an integral part of engineering curricula
This textbook is an introduction to the subject of ordinary differential equations (ODEs). This book is intended for the student at the sophomore-level who has successfully completed the first two semesters of a typical college or university calculus sequence and who intends to enroll in engineering or mathematics courses or any one of the physical sciences courses involving ODEs---but it will also serve the student who will be taking courses in other disciplines that occasionally employ ODEs, such as actuarial science, econometrics, computational science, and operational research.
Book
Mar 2026
Extends rational homotopy to non-simply connected spaces using enriched differential graded Lie algebras
Includes new results on the Sullivan rationalization process
Discusses inert cell attachments and their applications
Part of the book series: Frontiers in Mathematics (FM)
This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compatible with the Sullivan minimal models approach. Part I contains the basic theory of enriched Lie algebras and associated quadratic Sullivan algebras. Minimal Sullivan algebras and Sullivan rationalizations are then described in Part II. Part III explores the relations between enriched dgl models, Sullivan models, and topological spaces. The connection between enriched dgls and commutative differential graded algebras (cdgas) is realized using a generalization of the cochain algebra functor. This part contains all the theory necessary for computation of explicit examples and for developing interesting applications. Finally, Part IV concerns inert cell attachments and their applications.
Book
Mar 2026
Provides a comprehensive review of the rapidly expanding field of effective metric structure theory
Includes in-depth discussions of the model theory and computability theory of metric structures
Unifies methods from effective analysis and computable algebra into a coherent framework
Part of the book series: Springer Monographs in Mathematics (SMM)
This monograph introduces the reader to the increasingly popular topic of computable metric structure theory, a subject which unifies methods from effective analysis and computable algebra into one coherent framework. Computable structure theory had been constrained to the algebraic and discrete realms, but in the past 10 years or so, much work has been done in extending this topic to structures from analysis such as metric spaces, Banach spaces, and operator algebras. This book is the first comprehensive treatment of these basic results and discusses several challenging open problems that have arisen. The book provides a foundation for the study of classic objects from functional analysis using tools from continuous model theory and computable structure theory. It is largely self contained, though it is assumed that the reader is familiar with first-order logic. It should prove useful to students and researchers in continuous logic looking to familiarize themselves with computable structure theory as well as to researchers in the latter field looking to extend their work to structures from analysis. The discussion contains a large number of well-crafted examples and could provide the basis for a course or seminar in this area.
Book
Mar 2026
Introduces readers to competing operators
Covers problems with unbounded weight
Provides necessary background in nonlinear analysis
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
This book addresses problems driven by differential operators that lack monotonicity. The authors’ methods rely on coercivity and continuity, allowing for the construction of an approximative scheme whose convergence is induced by coercivity.
This observation leads to a new type of solution, which is precisely a limit of finite-dimensional approximation schemes and leads to the weak solution, provided that the operator driving the equation is at least pseudomonotone. This new type of solution is called a generalized solution. To systematically treat its existence, the authors introduce an abstract existence tool that serves as a counterpart to the Browder-Minty Theorem in the non-variational case and the Weierstrass-Tonelli Theorem if the problem is potential. Thus, the authors utilize many already developed techniques, suitably modified due to the absence of the monotonicity assumption.
The authors obtain three abstract results, also in the non-smooth case, which they apply to nonlinear boundary value problems. In their applications, they also deal with problems depending on an unbounded weight, which forces them to implement a suitable truncation technique.
The book includes an extended chapter covering analysis on abstract tools from the theory of monotone operators and minimization techniques, supplied with proofs and comments that allow for a better understanding of the authors’ approach towards generalized solutions. It includes necessary background on Sobolev spaces, introduces the non-variational generalized solution, and investigates the existence of solutions for variational problems and inclusions.
Textbook
Mar 2026
Accessible, mathematically rich, employs Python, and promotes intuitive thinking
Chapter dependency chart provides a guide for designing courses and independent learning
Emphasizes case studies as representative examples
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
This text provides a practical, hands-on introduction to the fundamental concepts of mathematical programming and network science. Particular emphasis is placed on linear programming, mathematical modelling and case studies, the implementation of the Simplex Method in Python, and classical techniques from nonlinear convex programming. The text also features a discussion of mathematical programming within the context of algebraic modelling languages. Further, it includes material on matrix games, decision analysis, multicriteria optimization and non-directed networks.
Designed as an introductory resource for upper-level undergraduate and graduate students, the book assumes only a modest mathematical background. Readers who have completed a second course in linear algebra, multivariable calculus, and an introductory course in probability and statistics will find the more advanced portions of the text especially accessible. Researchers and professionals in mathematics, engineering, technology, economics, business, and other quantitatively oriented fields will also find this book a valuable reference.
A distinguishing feature of this text is its strong emphasis on case studies. Numerous examples are developed in detail, either worked out within the text or explored through exercises and abstract model formulations. This pedagogical approach fosters both intuition and a structured understanding of the representative models that form the foundation of the field. A rich collection of end-of-chapter exercises enables readers to apply concepts and deepen their mastery of the material. A chapter dependency chart further supports independent learners by suggesting an effective study sequence and assists instructors in organizing coherent course structures.