Number theory master thesis

We have the necessary skills, knowledge, and experience to complete virtually any master- or doctoral-level order. Of course, ONLY those writers who possess a corresponding doctoral-level degree in the particular field of study will complete doctoral-level orders. If you order one of our services, a professional and qualified researcher will write a one-of-a-kind, original dissertation or thesis on "Number Theory" that is based on the exact specifications YOU provide. Our dissertation or thesis will be completely unique, providing you with a solid foundation of "Number Theory" research.

Number theory master thesis

The list is by no means exhaustive. If you a potential advisor in mind, that person may well have other ideas.

Or number theory master thesis may even have your own idea for a project. We encourage this route as well, but please be aware that this will put some additional responsibility on you to identify sources. For further information, see Bruce Peterson.

The Four Color Theorem For many years, perhaps the most famous unsolved problem in mathematics asked whether every possible map on the surface of a sphere could be colored in such a way that any two adjacent countries were distinguishable using only four colors. It is easy to produce maps requiring at least four colors, but the proof that four colors are always sufficient did not appear until Topics for a thesis would include the history of the problem, including the mistakes made in early "proofs", extension of the problem to more complicated surfaces what for instance happens if the maps are drawn on the surface of an inner tube?

The proof itself marks a milestone in mathematics in that it is readily understandable, but impossible to check because it involves computer verification of an enormous number of special cases. That is, anyone can check any individual step, but no one can check them all.

The thesis would not involve computer work. For additional information, see Bruce Peterson. Additive Number Theory We know a good deal about the multiplicative properties of the integers -- for example, every integer has a unique prime decomposition. For instance, in how many ways can we write an integer as the sum of two squares?

How many ways can we write the number 1 as the sum of three cubes? This theorem has recently been proved by Andrew Wiles of Princeton University. Mersenne Primes and Perfect Numbers Numbers like 6 and 28 were called perfect by Greek mathematicians and numerologists since they are equal to the sum of their proper divisors e.

Since then about B. There still remain many open questions, for example, do there exist any odd perfect numbers?

number theory master thesis

Research could include some interesting computer work if desired. Recent results indicate that any "reasonable" voting procedure must either be dictatorial or subject to strategic manipulation. For further information, see Mike Olinick. How does one fit this model to real data?

How are the Lotka-Volterra models of competition and predation affected by the assumption that one species grows logistically in the absence of the other? A typical problem in this field would ask how to maximize the present value of discounted net economic revenue associated with the hunting and capture of whales.

How does an optimal strategy vary with the number of competing whaling fleets? Brouwer proved that every continuous function from a n-cell to itself has at least one fixed point; that is, if f: There has also been much progress on the problem of computationally determining fixed points.

Joel Franklin, Methods of Mathematical Economics. Here N is the number of tumor cells at time t, K is the largest tumor size and b is a positive constant.

Department of Mathematics | Master Thesis Graduates - Department of Mathematics

A thesis in this area would begin with an investigation of the mathematical properties of this model and the statistical tests for deciding when it is a good one. The thesis would then move to a consideration of stochastic models of the tumor growth process.

Mathematical Models of Conventional Warfare Most defense spending and planning is determined by assessments of the conventional ie. The dynamic nature of warfare has historically been modelled by a particular simple linked system of differential equations first studied by F.

Lanchester Models of Warfare.

number theory master thesis

The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra states that every non-constant polynomial with complex coefficients has a complex root. Gauss was the first person to give a proof of this result; in fact, he discovered four different proofs. All known proofs require some complex analysis.

However, the theorem is one of algebra and a purely algebraic proof would be nice to find. Any text in complex analysis. J Munkres,An Introduction to Topology.Precision and Personalization. Our "Number Theory" experts can research and write a NEW, ONE-OF-A-KIND, ORIGINAL dissertation, thesis, or research proposal—JUST FOR YOU—on the precise "Number Theory" topic of your choice.

Tracks - Mathematical Sciences - Masters - Utrecht University

Writing thesis Number Theory Of sophomores 45 play a fall sport, 65 a winter sport, and 40 a spring sport, 15 play fall and winter, 20 play winter and spring, 25 play spring and fall. How to write master thesis report number 4 in for education An audience will enjoy listening to book on nationalism, religion, and that factory productions inherently betterthat is, more ecient and fair, provided that it is that they will write.

Sep 12,  · In your Master's thesis, you must answer the thesis question with conviction and clarity in the written presentation submitted to complete a Master's degree. Make sure that your question and the answers provided will provide original content to the body of research in existence%(64).

The Master of Science (M.S.) degree with a major in Mathematics requires 36 semester credit hours. Thesis. This course represents a student’s continuing thesis enrollment.

The student continues to enroll in this course until the thesis is submitted for binding. Number Theory. Topics in algebra selected from quadratic forms, elementary. Graduate studies in Number theory [closed] Ask Question.

Alagant's masters in Algebra, Geometry and Number Theory. I would be interested in other graduate programs with these characteristics, specially in Europe as it is easier for me to find financial aid.

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abstract algebra - Masters' thesis in group theory - Mathematics Stack Exchange