Mathematics Without Boundaries

Mathematics Without Boundaries
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 783
Release: 2014-09-17
Genre: Mathematics
ISBN: 1493911066

The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.

Mathematics Without Borders

Mathematics Without Borders
Author: Olli Lehto
Publisher: Springer Science & Business Media
Total Pages: 424
Release: 1997-12-19
Genre: Mathematics
ISBN: 9780387983585

At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.

Learners Without Borders

Learners Without Borders
Author: Yong Zhao
Publisher: Corwin Press
Total Pages: 117
Release: 2021-06-30
Genre: Education
ISBN: 1506377386

The future of education centers empowered students in a global learning ecosystem. Despite decades of reform, the traditional borders of education—graduation, curriculum, classrooms, schools—have failed to deliver on the goals of excellence and equity. Despite massive societal changes, education remains controlled by an old mindset. It is time to change that limiting mindset and, more importantly, the ineffective practices in education. To truly serve all learners, future classrooms must remove the boundaries of learning and become student-centered, culturally responsive, and personalized—supportive and equitable environments where each student can direct their own learning and seek multiple pathways to skills and knowledge in a global learning ecosystem. This compelling call for transformative change offers all involved in education Evidence-based arguments that reveal the need to break the traditional borders that limit learning Strategies to personalize learning and remove the confinement of traditional pathways Examples from around the world to create equitable and student-centric learning environments Resources for creating a school learning environment that expands opportunities for personalized learning into the global learning ecosystem It is time to now imagine a different kind of learning, without borders, and to begin the shifts in practice that will result in personalized learning for all students.

Computer-Aided Architectural Design. INTERCONNECTIONS: Co-computing Beyond Boundaries

Computer-Aided Architectural Design. INTERCONNECTIONS: Co-computing Beyond Boundaries
Author: Michela Turrin
Publisher: Springer Nature
Total Pages: 675
Release: 2023-07-04
Genre: Computers
ISBN: 3031371895

This book includes the refereed Selected Papers of the 20th International Conference on Computer-Aided Architectural Design. INTERCONNECTIONS: Co-computing Beyond Boundaries, CAAD Futures 2023, held in Delft, The Netherlands, in July 5–7, 2023. The 43 full papers included in this book were carefully reviewed and selected from 144 submissions. They were organized in topical sections as follows: ​algorithmic architectural design; AI-powered architectural ideation; performance-based design, urban models and analysis; urban design; digital design, materials and fabrication; spatial information, data and semantics; building data analysis, visualisation, interaction; and building massing and layouts.

Ontology Without Borders

Ontology Without Borders
Author: Jody Azzouni
Publisher: Oxford University Press
Total Pages: 321
Release: 2017-07-20
Genre: Philosophy
ISBN: 0190622571

Our experience of objects (and consequently our theorizing about them) is very rich. We perceive objects as possessing individuation conditions. They appear to have boundaries in space and time, for example, and they appear to move independently of a background of other objects or a landscape. In Ontology Without Boundaries Jody Azzouni undertakes an analysis of our concept of object, and shows what about that notion is truly due to the world and what about it is a projection onto the world of our senses and thinking. Location and individuation conditions are our product: there is no echo of them in the world. Features, the ways that objects seem to be, aren't projections. Azzouni shows how the resulting austere metaphysics tames a host of ancient philosophical problems about constitution ("Ship of Theseus," "Sorities"), as well as contemporary puzzles about reductionism. In addition, it's shown that the same sorts of individuation conditions for properties, which philosophers use to distinguish between various kinds of odd abstracta-universals, tropes, and so on, are also projections. Accompanying our notion of an object is a background logic that makes cogent ontological debate about anything from Platonic objects to Bigfoot. Contemporary views about this background logic ("quantifier variance") make ontological debate incoherent. Azzouni shows how a neutral interpretation of quantifiers and quantifier domains makes sense of both philosophical and pre-philosophical ontological debates. Azzouni also shows how the same apparatus makes sense of our speaking about a host of items--Mickey Mouse, unicorns, Martians--that nearly all of us deny exist. It's allowed by what Azzouni shows about the background logic of our ontological debates, as well as the semantics of the language of those debates that we can disagree over the existence of things, like unicorns, without that background logic and semantics forcing ontological commitments onto speakers that they don't have.

Singularly Perturbed Boundary Value Problems

Singularly Perturbed Boundary Value Problems
Author: Matteo Dalla Riva
Publisher: Springer Nature
Total Pages: 672
Release: 2021-10-01
Genre: Mathematics
ISBN: 3030762599

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

Topics in Mathematical Analysis and Applications

Topics in Mathematical Analysis and Applications
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 811
Release: 2014-10-13
Genre: Mathematics
ISBN: 3319065548

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Mathematical Analysis, Probability and Applications – Plenary Lectures

Mathematical Analysis, Probability and Applications – Plenary Lectures
Author: Tao Qian
Publisher: Springer
Total Pages: 335
Release: 2016-08-25
Genre: Mathematics
ISBN: 3319419455

This book collects lectures given by the plenary speakers at the 10th International ISAAC Congress, held in Macau, China in 2015. The contributions, authored by eminent specialists, present some of the most exciting recent developments in mathematical analysis, probability theory, and related applications. Topics include: partial differential equations in mathematical physics, Fourier analysis, probability and Brownian motion, numerical analysis, and reproducing kernels. The volume also presents a lecture on the visual exploration of complex functions using the domain coloring technique. Thanks to the accessible style used, readers only need a basic command of calculus.

New Trends in Analysis and Interdisciplinary Applications

New Trends in Analysis and Interdisciplinary Applications
Author: Pei Dang
Publisher: Birkhäuser
Total Pages: 615
Release: 2017-04-18
Genre: Mathematics
ISBN: 3319488120

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.