Research and reports on mathematics что это
Research and reports on mathematics что это
Research and Reports on Mathematics is an Open Access, peer reviewed Journal dedicated to publish high quality articles covering wide range study areas of Pure and Applied Mathematics.
The Journal aims to provide a platform for mathematicians, academicians and scientists for disseminating reports on Mathematics Research and insights into interdisciplinary applied mathematics. The journal accepts original articles emphasizing on all the major areas of Mathematics such as- Algebra, Geometry, Number Theory, Analysis, Topology, Arithmetic, Combinatorics, Computational Mathematics, Calculus, Mathematical Physics, Biomathematics, Probability Theory, Statistics, Operational Research; and electronic versions of all the publications will be available under open access platform.
All the articles submitted to the Journal- Research and Reports on Mathematics will undergo double blind peer review process through the Editorial Manager System. The Editorial Manager System helps in maintaining the quality of the peer review process and provides easy access to the authors to track the status of the manuscript, including evaluation and publication in an automated way.
Number Theory
Number theory is the branch of mathematics primarily deals with the study of positive integers. This theory is considered as Queen of Mathematics or higher arithmetic as it is involved in the study of properties of whole numbers. Questions of this theory are well understood and it helps in understanding relations between different forms of numbers, which is partly theoretical and partly experimental.
Algebra
Algebra is one among the broad categories of mathematics which mainly deals with substitutions of specific set of numbers, vectors, values with symbols and letters. It involves almost all threads of mathematics ranging from solving of elementary equations to study of abstractions. The basic section of algebra is called as elementary algebra which is necessary for any study of mathematics. Abstract algebra or modern algebra is vital in advanced mathematics.
Mathematical Analysis
Mathematical Analysis is the branch of mathematics deals with the study of limits and their theories, like integrations, analytical functions, differentiations, measures and infinite theories. These analyses are evolved mainly from calculus which involves the basic techniques and concepts of analysis.
Arithmetics
Arithmetics is one of the branches of mathematics that deals usually with the study of numbers, particularly with properties of operations or basic applications between them like addition, subtraction, multiplication and division. Arithmetic is part of number theory, the term higher arithmetic were used as synonym for number theory.
Calculus
Calculus is the branch of mathematics that deals the properties of integrals and derivatives of the functions using methods based on continuous changes and summations of infinitesimal differences. It has two main branches differential calculus and integral calculus dealing with slopes of curves, rates of change and the area under the curves respectively.
Combinatorics
Combinatorics is the branch of mathematics studying the finite countable structures along with the enumeration, permutation of sets and combinations of set of element and mathematical relations. Their subfields include enumerative Combinatorics, extremal Combinatorics. Combinatorics is mostly used in obtaining formulas and estimating analysis of algorithms in computer science.
Applied Mathematics
Applied Mathematics is the branch of mathematics concerning to the study of mathematical ways that are applied in varied fields of engineering, science, industry, business and computer science. Hence applied mathematics is a fine combination of knowledge with mathematics to meet the present challenges, which in turn motivated in developing new theories in mathematics.
Computational Mathematics
Computational Mathematics the practice of using computers in solving mathematic problems, it includes solving common problems such as algorithms. It has wide application in weather forecasting, science, medicine, engineering, business and finance. The application of computers in mathematics has led to a revolution in computer age.
Geometry & Topology
Geometry & Topology is an umbrella term in branch of mathematics emphasising varied disciples of both geometry and topology. The distinction between geometry and topology are that geometry has infinitesimal or local structure with continuous module whereas topology has global structure with discrete module involving study of topological spaces.
Logic and Foundations
Logic and Foundations is a subfield of mathematics mainly focusing on set theory also emphasising the applications of logic on mathematics. They are divided in to subfields of set theory, recursion theory, model theory, large cardinals, fine structure theory, and proof theory.
Mathematical Physics
Mathematical Physics is a branch of applied mathematics concerned with the application of mathematics in solving problems of physics and developing new methods of mathematics for such applications of producing new theories in physics. Mathematical physics almost uses wide range of mathematics and most commonly employed are analysis and algebra.
Modelling and Simulation
Modelling and Simulation is the representation of system using conceptual models of physics, mathematics and other logical representations of system, process, phenomenon or entity as a basis for the stimulation. This modelling and simulations helps in understanding behaviour of system without testing.
Probability and statistics
Probability and statistics are two interconnected but separate academic fields, these two topics are studied together, however statistics are not dependent on probability and Probability also not directly related to statistics. Probability deals with construction models and provides tools to explain the uncertainty, make decisions and conclusions based on these models. Statistics helps in evaluating the conclusions obtained from sample data.
Theoretical Computer Science
Theoretical Computer Science is a subset of mathematics and general computer science that deals with computing of mathematical topics which involves the theories of computation. Theoretical Computer Science covers wide range of topics like computational complexity, algorithms, probabilistic computation, automata theory, cryptography and computational number theory.
Operations Research
Operations research is a relatively new discipline that deals with problem solving and decision making of an organization or management. This utilizes technique from the field of mathematics, statistics, psychology, engineering etc. to make a new set of knowledge for decision making. Often concerned with the real life time decision making like maximum or minimum profit, loss etc. of an organization.
Set theory
Set theory framed under logical mathematics describes the universe of all mathematical objects from the simplest to most complex such as infinite systems. This is the theory of well determined collections called sets and the objects within the sets are called members or elements of the set. Simply it defines the properties of the objects which may be of any forms, numbers or functions.
Analytical Geometry
Analytical geometry referred as coordinate or Cartesian geometry is the establishment of algebraic equation in the geometric format-in which the objects of mathematics are visualized as points, lines and circles in the coordinate plane. This field is widely used in physics, engineering, aviation rocketry and space science for the formulation of equations for designing the objects.
Game Theory
Game theory deals with the study of Mathematical model of negotiation, conflict and cooperation between individuals or organization. This theory is mainly used in economics, political science and Psychology as well as logic, computer science and biology. Gamification is a term used for describing the application of game theory concepts and techniques to non-gaming activities.
Mathematical Programming
Mathematical Programming is a wide field of study that deals with theory, applications and computational methods for choosing the best alternative from the set of defined options. This uses probability and mathematical models to predict future events. It is also referred as Optimization which is used in investing and in determining the most efficient way to allocate scarce resources.
h-index
Articles published in Research and Reports on Mathematics have been cited by esteemed scholars and scientists all around the world. Research and Reports on Mathematics has got h-index 1, which means every article in Research and Reports on Mathematics has got 1 average citations.
Recent Articles
Peer Reviewed Articles Very Recently Published in this Journal
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Mathematical Research Reports: a “new” mathematics journal is launched
From time to time academic journals undergo an interesting process of fission. Typically as a result of some serious dissatisfaction, the editorial board resigns en masse to set up a new journal, the publishers of the original journal build a new editorial board from scratch, and the result is two journals, one inheriting the editors and collective memory of the original journal, and the other keeping the name and the publisher. Which is the “true” successor? In practice it tends to be the one with the editors, with its sibling surviving as a zombie journal that is the successor in name only. Perhaps there are examples that go the other way, and there may be examples where both journals go on to thrive, but I have not looked closely at the examples I know about.
I’m mentioning this because recently I have been involved in a rather unusual example of this phenomenon. Most cases I know of are the result either of frustration with the practices of the big commercial publishers or of malpractice by an editor-in-chief. But this was an open access journal with no publication charges, and with an extremely efficient and impeccably behaved editor-in-chief. So what was the problem?
The journal started out in 1995 as Electronic Research Announcements of the AMS, or ERA-AMS for short. It was still called that when I first joined the editorial board. Its editor-in-chief was Svetlana Katok, who did a great job, and there was a high-powered editorial board. As its name suggests, it specialized in shortish papers announcing results that would then appear with more details in significantly longer papers, so it was a little like Comptes Rendus in its aim. It would also accept short articles of a more traditional kind.
It never published all that many papers, and in 2007, I think for that reason (but don’t remember for sure), the AMS decided to discontinue it. But Svetlana Katok had put a lot into the journal and managed to find another publisher, the American Institute of Mathematical Sciences, and the editorial board agreed to continue serving. The name of the journal was changed to Electronic Research Announcements in the Mathematical Sciences, and its abbreviation was slightly abbreviated from ERA-AMS to ERA-MS.
In 2016, after 22 years, Svetlana Katok decided to step down, and Boris Hasselblatt took over. It was a good moment to try to revitalize the journal, so measures were taken such as designing a new and better website and making more effort to publicize the journal, in the hope of attracting more submissions (or more precisely, more submissions of a high enough quality that we would want to publish them).
However, despite these measures, the numbers remained fairly low — around ten a year (with quite a bit of variation), and this, indirectly, caused the problem that led to the split. The editors would have liked to see more papers published, but were not worried about it to the point where we would have been prepared to sacrifice quality to achieve it: we were ready to accept that this was, at least for now, a small journal. But AIMS was not so happy. In an effort to remedy (as they saw it) the situation, they appointed a co-editor-in-chief, who in turn appointed a number of new editors, with a more applied focus, with the idea that by broadening the scope of the journal they would increase the number of papers published.
That did not precipitate the resignations, but at that stage most of us did not know that the new editors had been appointed without any consultation even with Boris Hasselblatt. But then AIMS took things a step further. Until that point, the journal had adopted a practice that I strongly approve of, which was for the editor who handled a paper to make a recommendation to the rest of the editorial board, with other editors encouraged to comment on that recommendation. This practice helps to guard against “rogue” editors and against abuse of the system in general. It also helps to maintain consistent standards, and provides a gentle pressure on editors to do their job conscientiously — there’s nothing like knowing that you’re going to have to justify your decision to a bunch of mathematicians.
But suddenly the publishers told us that this system had to change, and that from now on the editorial board would not have the opportunity to vet papers, and would continue to have no say in new editorial appointments. (Various justifications were given for this, including that it would make it harder to recruit editors if they thought they had to make judgments about papers not in their immediate area.) At that point, it was clear that the soul of the journal was about to be destroyed, so over a few days the entire board (from before the start of the changes) resigned, resolving to start afresh with a new name.
That new name is Mathematical Research Reports. We will continue to accept reports on longer work, as well as short articles. In addition we welcome short survey articles. We regard it as the continuation in spirit of ERA-MS. Another unusual feature of this particular split is that the other half, still published by AIMS, has also changed its name and is now called Electronic Research Archive.
If, like me, you are always on the lookout for high-quality “ethical” journals (which I loosely define as free to read, free to publish in, and adopting high standards of editorial practice), then please add Mathematical Research Reports to your list. Have a look at the back catalogue of ERA-MS and ERA-AMS and you will get an idea of our standards. It would be wonderful if the unfortunate events of the last year or so were to be the catalyst that led to the journal finally becoming established in the way that it has deserved to be for a long time.
Mathematics
This programme trains professional researchers in mathematical sciences and experts in mathematical education. Students will be prepared for PhD qualifying tests in algebra, topology and analysis, have their own research agenda and experience and have teaching experience at university level. Student exchange opportunities are also offered with École Polytechnique (Paris), École normale supérieure (Paris), Kyoto University, Leiden University, University of Luxembourg, University of Nantes, University of Tokyo.
Тел.: (495) 772-95-90 *12716
Overview
The Master’s programme in Mathematics at the HSE Faculty of Mathematics offers a highly individualized experience for students regardless of whether you study in English or Russian.
After successfully completing the programme, you will defend a master’s thesis and can either proceed to a research career as a doctoral student or seek work as a professional in areas related to applied mathematics. Our top graduates are regularly admitted to doctoral programmes at the world’s leading research centres.
Independent research and student involvement in the faculty’s research activities are an integral part of the curriculum. All teachers in the programme are renowned experts in their respective fields who carry out active research and are eager to work with master’s students as they take their first steps in developing their own research.
Study goals
The programme has been developed for two key cohorts of students: those who are interested in pursuing an academic career in mathematics and other STEM disciplines (such as computer science, mathematical economics, etc) and bachelor’s graduates in knowledge-intensive applied areas who need to get a foundational degree in mathematics to build a career in their field of choice.
Upon graduating from our programme, students with an interest in academia are well positioned to pass doctoral exams and already have research and teaching experience in their field. Students oriented towards knowledge-intensive applications receive foundational training in mathematics irrespective of their undergraduate background.
Advantages of the programme
Career opportunities
Graduates of the programme have traditionally pursued careers that fall into three main areas.
The first is academia, with graduates continuing their studies in the world’s best doctoral programmes in mathematics and eventually becoming professional mathematicians. Many of our graduates have become teachers at leading universities in Russia and other countries, as well as at Russia’s top mathematics schools.
Another area is applied science, such as computer science, computer linguistics, bioinformatics, actuarial mathematics, and statistics. In this case, graduates often continue in different master’s programmes or work at leading Russian or international companies.
Finally, graduates pursue careers in business, economics, and finance.
How to apply
International students can apply for the remote portfolio competition for both state-funded and fee-paying places. Submitting an application online doesn’t require you to come to Moscow to sit an exam or an Olympiad. Students who enrol in fee-paying slots are eligible for a flexible system of discounts. For details, visit International Admissions.
Ofsted publishes research review on mathematics education
Ofsted has published the third in a series of reviews into different subjects across the curriculum. The latest review looks at mathematics education.
English pupils, on average, gain higher attainment in maths than pupils in many other countries, and mathematics continues to be the most popular subject to study at A level. However, the attainment gap between the lowest and highest achievers is wider than the Organisation for Economic Co-operation and Development (OECD) average. Likewise, disadvantaged pupils in England are much less likely to achieve a grade 4 at GCSE, or to meet the expected standards at the end of the early years foundation stage (EYFS), or at key stages 1 and 2.
In addition to highlighting approaches that could raise the attainment of all pupils, a core theme of the maths review is how to prevent struggling pupils from falling further behind their peers.
There are a variety of ways that schools can construct and teach a good maths curriculum, and Ofsted recognises that there is no singular way of achieving high-quality education in the subject. However, the review identifies some common features of successful, high-quality curriculum approaches:
Teachers engineer the best possible start for all pupils by closing the school entry gap in knowledge of basic mathematical facts, concepts, vocabulary and symbols.
The teaching of maths facts and methods is sequenced to take advantage of the way that knowing those facts helps pupils to learn methods, and vice versa.
Throughout sequences of learning, pupils benefit from teaching that is systematic and clear.
The aim is for pupils to attain proficiency. Pupils are then more likely to develop motivation and confidence in the subject.
Pupils need regular opportunities to rehearse and apply the important mathematical facts, concepts, methods and strategies they have learned.
Assessment is most useful when it focuses on the component knowledge that pupils have learned. This aids pupils’ confidence and makes it easier to analyse and respond to gaps in learning.
Teachers can support pupils’ progression by ensuring written work is of a high quality. This is important because when pupils’ calculations are systematic and orderly, they are better able to see the connections of number and to spot errors.
School leaders can develop teachers’ subject and pedagogic knowledge through opportunities to work with and learn from each other.
Her Majesty’s Chief Inspector, Amanda Spielman, said:
Mathematics is an integral part of every school curriculum. It is a foundation of many disciplines and a source of interest and enjoyment in itself. It also unlocks the door to further study and employment in a vast range of fields.
However, for too many children and young people, maths is mysterious and difficult, and this has implications not just for their future attainment, but also for their self-esteem. Our education inspection framework is clear that schools should ensure the maths curriculum is designed to help pupils to gain increasing mathematical proficiency and build confidence in their ability.
We hope this review is useful to school leaders and teachers as they continue to design and develop their maths curriculum.
The review emphasises the idea of engineering pupils’ success in maths, underpinned by systems thinking. This type of approach will seek to transform an offer of content into a guarantee that content can and will be learned.
The review concludes that variation in the quality of mathematics education in England is likely to be the result of the absence of systems and systems thinking, as well as possible gaps in content, instruction, rehearsal, assessment and the plans for their evolution over time.
To find out more about Ofsted’s curriculum work, read the principles behind the research reviews and subject reports.
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