Through a collaborative partnership arrangement, publishers join forces and participate in an online presence with advanced functionality while maintaining their quality, intellectual and economic independence, and commitment to affordable subscription prices.
Since some electronic access is granted directly by the publisher not Project Euclid , Penn State has access to most titles but not all. LionSearch Basics LionSearch an integrated search of books, e-books, research articles, newspaper articles, and other publications. If you see the Penn State " GetIt " menu and you need to click the word "article" to get to the full text.
If there is no "article" link, click the word "journal" to get to the journal page and look for the correct year, volume, issue and pages for the article you need. When you are finished compiling your sources, click on the folder icon at the top of the screen and email or print which allows you to copy into your clipboard the references so you can easily add them to your project. LionSearch Tutorials for more detailed help. Jul 13, 2: Calculus has the resources for solving such problems for which only algebra is insufficient and has application in various spheres pf science.
The history of calculus springs from the Ancient Greece, but many of the important ideas were developed in the 17th century, and the most prominent step in the development of calculus was made in the studies of Isaac Newton and Gottfried Leibniz who nowadays are considered to be the founders of calculus. A vector space is a structure formed by vectors. Vector spaces are used in mathematical analysis, generally as the infinite-dimensional spaces where vectors are functions, however, this still create a number of analytical problems.
In addition, vector spaces are applied in various spheres of science and engineering. Multivariate calculus is differentiated and integrated calculus involving multiple variables.
Construction of real numbers The real numbers are constructed basing on the predetermined rational numbers. The rational numbers are taken as a basis, and the new objects are constructed, that are called the irrational numbers. As a result of their addition to the set of rational numbers, there is a set of real numbers.
If you encounter problems in writing your paper, the P rof E ssays. The P rof E ssays. To write a research paper on Mathematics is not a problem for our writers. Our specialists write only original works, and the content that is sent to one customer is never re-used or published in the on-line, so you may be absolutely sure that your paper will pass plagiarism checkers.
P rof E ssays. You are always welcome to order a Mathematics Research paper or any other written assignment in our company. Boolean functions, theorems and technical application: Model theory is a branch of mathematical logics that deals with study of relations between the formal languages and their interpretations, or models. A model is a structure that gives meaning to the formal language sentences, and if it satisfies also a particular theory it is called a model of the theory.
Model theory has strong relations with algebra. Set theory is the branch of mathematics that deals with the general behavior of sets. The set theory lies in basis of the most of the mathematical disciplines, it has deeply influenced on the understanding of the subject of mathematics. Recursion theory, also called computability theory, is a branch of mathematical logic that is in close relation with computer science and deals with the study of computable functions and Turing degrees, including also the study of generalized computability and definability.
Proof theory is a branch of mathematical logics where the phenomenon of mathematical proof becomes an object of algebra or arithmetic. The proof is usually presented as the structure of data, such as plain lists or trees, up to the hypothetic extremely complicated structures or machines which are constructed according to the axioms and rules of the logical systems.
The proof theory can be viewed as a branch of philosophic logic where the main interest is in the proof-theoretic semantics. Foundations of probability theory Probability theory is the branch of mathematics dealing with analysis of random variables, processes and events. The sequence of repeated random events may keep within certain statistical patterns, in such way becoming predictable.
Probability theory is applicable to many activities for which it is essential to consider the results of quantitative analysis of large sets of data. Ordinary differential equations Differential equation is an equation that connects the meaning of a certain unknown function in a certain points with the meaning of its various derivatives in the same point.
A differential equation contains in its form an unknown function, its derivatives and independent variables, but not any equation that contains the derivatives of an unknown function is a differential equation.
It is also worth noting that a differential equation may not contain an unknown function, some of its derivatives and free variables at all, but it must contain at least one variable. The topics that deal with the differential equations are the following:. Usage of Differential equations. Fundamental theorems of algebra, calculus, curves and projective geometry The topics that deal with the fundamental theorems are the following:.
Das, "Role of membrane addition in animal cell cytokinesis," Journal of Theoretical Biology , , , Bifurcation Chaos 22, , Paul, "Scalings of field correlations and heat transport in turbulent convection. Mohite, "Intralaminar damage modeling in fibrous composites: Saha, P Wahi , " Delayed feedback for controlling the nature of bifurcations in friction-induced vibration s " Journal of Sound and Vibration 25 , Dixit, "Numerical analysis of damage in deep drawing process," Finite Elements in Analysis and Design, 47 9 , , Gautam, Raman Babu and P.
Dixit, "Ductile fracture simulation in the Taylor rod impact test using continuum damage mechanics," International Journal of Damage Mechanics, 20 3 , , Conference series , , Das, "Influence of the bending rigidity and the line tension on the mechanical stability of micropipette aspirated vesicles," Physical Review E, 82, , Also appearing in the August 15, issue of Virtual Journal of Biological Physics Research.
Saha, P Wahi ," Controlling the bifurcation in friction induced vibrations using delayed feedback. Animangsu Ghatak ,"Peeling off an adhesive layer with spatially varying modulus ," Physical Review E , 81, The Darwin ellipsoids for for gravitationally held granular aggregates". Dixit, "Ductile failure simulation in spherodized steel using continuum damage mechanics coupled finite element formulation," International Journal of Computational Methods, 7 2 , , Dixit, "Numerical simulation of fracture in cup drawing," International Journal of Material Forming, 3 1 , , Dixit, "Prediction of flange wrinkling in deep drawing process using bifurcation criterion," Journal of Manufacturing Processes, 12 1 , , Singh, "Molecular Modeling and Simulation: Sharma, "Equilibrium shapes of rubble-pile satellites:
Research. Mathematics at MIT is administratively divided into two categories: Pure Mathematics and Applied Mathematics. They comprise the following research areas.
Mathematics, Department of Dissertations, Theses, and Student Research Papers in Mathematics PhD candidates: You are welcome and encouraged to deposit your dissertation here, but be aware that.
As of , International Mathematics Research Papers has been incorporated into International Mathematics Research Notices. Subscriptions to IMRP are no longer available. This site provides access to past issues of IMRP. Research Papers from the Shell Centre for Mathematical Education This represents a small selection of papers and other research materials from the Shell Centre team. We plan to develop this section further to include some of the papers and theses previously available from Shell Centre Publications in print form, permissions from the authors permitting.
Writing a Research Paper in Mathematics Ashley Reiter September 12, Section 1: Introduction: Why bother? Good mathematical writing, like good mathematics thinking, is a skill which must be practiced and developed for optimal performance. A mathematics research paper is an extremely intricate task that requires immense concentration, planning and naturally clear basic knowledge of mathematics, but what is essential for a higher level research is the successful choice of a topic, matching your personal interests and level of competence.