معهد كورانت لعلوم الرياضيات

Coordinates: 40°43′43″N 73°59′44″W / 40.72858°N 73.99552°W / 40.72858; -73.99552
معهد كورانت لعلوم الرياضيات
Courant Institute of Mathematical Sciences (CIMS)
النوعخاصة
تأسست1935
الانتساب الأكاديميNew York University
الطاقم الأكاديمي82
طلبة قبل البكالوريوس1,500
طلاب الدراسات العليا600
الموقع
مدينة نيويورك
،
نيويورك
،
الولايات المتحدة
الحرمUrban
المديرجرارد بن أروس
الموقع الإلكترونيcims.nyu.edu
View of Warren Weaver Hall, Courant Institute of Mathematical Sciences from Gould Plaza

معهد كورانت لعلوم الرياضيات Courant Institute of Mathematical Sciences (CIMS)، هو قسم مستقل في جامعة نيويورك يتبع كلية الفنون والعلوم، ويعمل كمركز للأبحاث والتدريب المتقدم لعلوم الحاسوب والرياضيات. مدير معهد كورانت يقدم تقرير مباشر إلى عميد ورئيس جامعة نيويورك ويعمل بالتعاون مع مديري وزملاء جامعة نيويورك والأقسام المرتبطة.[1] سمي المعهد باسم ريتشارد كورانت، أحد مؤسسي معهد كورانت وكانت أستاذ رياضيات بجامعة نيويورك من 1936 حتى 1972.

يعتبر المعهد واحد من أعرق كليات الرياضيات ومراكز الأبحاث الرياضية في العالم. والمعهد في الترتيب رقم 1 في أبحاث الرياضيات التطبيقية،[2] ورقم 5 من حيث تأثيره المرجعي عالمياً، ورقم 12 على قائمة الكليات العلمية الانتجائية، ورقم 3 على قائمة 1.84.[3] ويشتهر المعهد أيضاً بأبحاثه المتعمقة في حقول الرياضيات، مثل المعادلات التفاضلية الجزئية، [[احتمال|الاحتمالات]، والهندسة، بالإضافة إلى الرياضيات التطبيقية، مثل علم الأحياء الحاسوبي، علم الأعصاب الحاسوبي، والمالية الرياضية. تضم ادارة الرياضيات بمعهد كورانت 18 عضو من أكاديمية العلوم الوطنية (أكثر من أي قسم رياضيات آخر في الولايات المتحدة) وخمسة أعضاء من الأكاديمية الوطنية للهندسة. حاز أربع أعضاء بالكلية على الوسام الوطني للعلوم، وكُرم عضو واحد بجائزة كيوتو المرموقة، وفاز 9 بجوائز ممنوحة من مؤسسة العلوم الوطنية. فاز الأساتذة پيتر لاكسن س. ر. س. ڤارادهان، وميخائيل گروموڤ، في 2005، 2007، و2009 بجائزة أبل لأبحاثهم في المعادلات التفاضلية الجزئية، الاحتمالات، والهندسة.[4]

بالرغم من البرامج الدراسية التي يتيحها المعهد، يتيح أيضاً برامج التخرج وبرامج الدراسات العاليا المتاحة في بكلية الفنون والعلوم بجامعة نيويورك.

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الأكاديميات

الترتيب

The Courant Institute specializes in applied mathematics, mathematical analysis and scientific computation. There is emphasis on partial differential equations and their applications. The mathematics department is consistently ranked in the United States as #1 in applied mathematics.[5] Other strong points are Analysis (#6 as of 2022)[6] and geometry (#12 as of 2022).[7] Within the field of computer science, CIMS concentrates in machine learning, theory, programming languages, computer graphics and parallel computing. In 2022, the computer science program was ranked #19 among computer science and information systems programs globally.[8] In 2022, the Academic Ranking of World Universities placed the Courant Institute as #9 worldwide in the subject ranking for mathematics.[9]

Six (at the time of award) faculty members have been awarded the National Medal of Science (Kurt O. Friedrichs, Peter Lax, Cathleen Synge Morawetz, Louis Nirenberg, Charles S. Peskin, S. R. Srinivasa Varadhan), one (Mikhail Gromov) was honored with the Kyoto Prize, and nine have received career awards from the National Science Foundation. Courant Institute professors Lax, Varadhan, Gromov, Nirenberg won the 2005, 2007, 2009 and 2015 Abel Prize respectively for their research in partial differential equations, probability and geometry.[10] Louis Nirenberg also received the Chern Medal in 2010, and Subhash Khot won the Nevanlinna Prize in 2014. Amir Pnueli and Yann LeCun won the 1996 and 2018 Turing Award respectively. In addition, Jeff Cheeger was also awarded the Shaw Prize in Mathematical Sciences in 2021.[11]

القبول والدرجات العلمية

يمنح المعهد درجات بكارلوريوس الفنون، بكالوريوس العلوم، ماجستير العلوم والدكتوراة في الرياضيات وعلوم الحاسوب بمعدلات قبول من 3% إلى 29%.[12] The overall acceptance rate for all CIMS graduate programs is 15%, and program admissions reviews are holistic. A high undergraduate GPA and high GRE score are typically prerequisites to admission to its graduate programs but are not required. Majority of accepted candidates met these standards. However, character and personal qualities and evidence of strong quantitative skills are very important admission factors. Consistent with its scientific breadth, the institute welcomes applicants whose primary background is in quantitative fields such as economics, engineering, physics, or biology, as well as mathematics. Undergraduate program admissions are not directly administrated by the institute but by the NYU undergraduate admissions office of College of Arts and Science.[13][14][15][16]

برنامج الدراسات العليا

The Department of Mathematics at the Courant Institute offers PhDs in Mathematics, Atmosphere-Ocean Science, and Computational Biology; Masters of Science in Mathematical Finance, Mathematics, and Scientific Computing.

قاعة المحاضرات في وارن ويڤر هال.

The Graduate Department of Computer Science offers a PhD in computer science. In addition it offers Master of Science degrees in computer science, information systems (in conjunction with the Stern School of Business), and in scientific computing. For the PhD program, every PhD computer science student must receive a grade of A or A− on the final examination for algorithms, systems, applications, and a PhD-level course chosen by the student that does not satisfy the first three requirements, such as cryptography and numerical methods. Students may take the final exam for any these courses without being enrolled in the course.

The Computer Science Masters program offers instruction in the fundamental principles, design and applications of computer systems and computer technologies. Students who obtain an MS degree in computer science are qualified to do significant development work in the computer industry or important application areas. Those who receive a doctoral degree are in a position to hold faculty appointments and do research and development work at the forefront of this rapidly changing and expanding field. The emphasis for the MS in Information Systems program is on the use of computer systems in business. For the Master of Science in Scientific Computing, it is designed to provide broad training in areas related to scientific computing using modern computing technology and mathematical modeling arising in various applications. The core of the curriculum for all computer science graduate students consists of courses in algorithms, programming languages, compilers, artificial intelligence, database systems, and operating systems. Advanced courses are offered in many areas such as natural language processing, the theory of computation, computer vision, software engineering, compiler optimization techniques, computer graphics, distributed computing, multimedia, networks, cryptography and security, groupware and computational finance. Adjunct faculty, drawn from outside academia, teach special topics courses in their areas of expertise.[17]

Unless outside fellowships or scholarships are available to the students, all admitted Courant PhD students are granted with the GSAS MacCracken award.[18] The fellowship covers the tuition and provides 9 months of stipend along with other benefits such as health insurance and special housing opportunities. The MacCracken funding is renewable for a period of up to five years, assuming satisfactory progress toward the degree.[19]

Doctoral students take advanced courses in their areas of specialization, followed by a period of research and the preparation and defense of the doctoral thesis. Courant Students in PhD programs may earn a master's degree while in progress toward the PhD program. Areas where there are special funding opportunities for graduate students include: Mathematics, Mechanics, and Material Sciences, Number Theory, Probability, and Scientific Computing. All PhD candidates are required to take a written comprehensive examination, oral preliminary examination, and create a dissertation defense. Each supported doctoral student has access to his or her own dedicated Unix workstation. Many other research machines provide for abundant access to a variety of computer architectures, including a distributed computing laboratory.[20]

برنامج البكالوريوس

The Courant Institute houses New York University's undergraduate programs in computer science and mathematics. In addition, CIMS provides opportunities and facilities for undergraduate students to do and discuss mathematical research, including an undergraduate math lounge on the 11th floor and an undergraduate computer science lounge on the 3rd floor of Warren Weaver Hall.[21][22]

Classroom at Warren Weaver Hall

The mathematics and computer science undergraduate and graduate programs at the Courant Institute has a strong focus on building quantitative and problem-solving skills through teamwork.[23][24] An undergraduate computer science course on Computer Vision, for example, requires students to be in small teams to use and apply recently developed algorithms by researchers around the world on their own. One example assignment requires a student to study a paper written by researchers from Microsoft Research Cambridge in order to do an assignment on Segmentation and Graph Cut. To encourage innovation, students in advanced coursework are allowed to use any means to complete their assignment, such as a programming language of their choice and hacking a Kinect through legal means.[25]

The Courant Institute's undergraduate program also encourages students to engage in research with professors and graduate students. About 30% of undergraduate students participate in academic research through the competitive Research Experiences for Undergraduates program funded by the National Science Foundation or research funded primarily by the Dean's Undergraduate Research Fund. The Courant Institute has one of the highest percentage of undergraduate students doing research within New York University.[26][27][28][29] With permission of their advisers or faculty, undergraduate students may take graduate-level courses. Courant undergraduate students through the years and alumni contribute greatly to the vitality of the Mathematics and Computer Science departments. Some accomplishments by current and former undergraduate Courant students include an Apple Worldwide Developers Conference Scholarship Winner, development of Object Category Recognition Techniques to sort garbage for recycling for the NYC's trash program, placement in 7th out of 42 in the ACM International Collegiate Programming Contest (ICPC), and inventors of the Diaspora (software) social network.[27]

The undergraduate division of the Department of Mathematics offers Bachelor of Arts (BA) and Bachelor of Science (BS) degrees in Mathematics. It consists of a wide variety of courses in pure and applied mathematics taught by a distinguished faculty with a tradition of excellence in teaching and research. Students in advanced coursework often participate in formulating models outside the field of mathematics as well as in analyzing them. For example, an advanced mathematics course in Computers in Medicine and Biology requires a student to construct two computer models selected from the following list: circulation, gas exchange in the lung, control of cell volume, and the renal countercurrent mechanism. The student uses the models to conduct simulated physiological experiments.[30]

The undergraduate division of the Department of Computer Science offers a Bachelor of Arts (BA) degree, and fours minors. These are the computer science minor, web programming and applications minor, joint minor in computer science/mathematics, and the computer science education minor available in collaboration with NYU Steinhardt.[31] The BA degree can also be pursued with honors. Students may combine the degree with other majors within the College of Arts and Science to create a personalized joint major. Two specific combined degrees are the joint major in computer science/economics and the joint major in computer science/mathematics. The Department of Computer Science also offers a BS/BE Dual Degree in computer science and engineering and an accelerated master's program available to qualifying undergraduates in conjunction with the Tandon School of Engineering.[32]

Academic research

The Courant Institute along with Microsoft Research are the founders of the Games for Learning Institute

The Department of Mathematics at Courant occupies a leading position in analysis and applied mathematics, including partial differential equations, differential geometry, dynamical systems, probability and stochastic processes, scientific computation, mathematical finance, mathematical physics, and fluid dynamics. A special feature of the institute is its highly interdisciplinary character — with courses, seminars, and active research collaborations in areas such as financial mathematics, materials science, visual neural science, atmosphere/ocean science, cardiac fluid dynamics, plasma physics, and mathematical genomics. Another special feature is the central role of analysis, which provides a natural bridge between pure and applied mathematics. The Department of Computer Science has strengths in multimedia, programming languages and systems, distributed and parallel computing, and the analysis of algorithms.

Since 1948, Courant Institute has maintained its own research journal, Communications on Pure and Applied Mathematics. While the journal represents the full spectrum of the institute's mathematical research activity, most articles are in the fields of applied mathematics, mathematical analysis, or mathematical physics. Its contents over the years amount to a modern history of the theory of partial differential equations. Most articles originate within the institute or are specially invited. The institute also publishes its own series of lecture notes. They are based on the research interests of the faculty and visitors of the institute, originated in advanced graduate courses and mini-courses offered at the institute.


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Resources

Applied Mathematics Laboratory

Warren Weaver Hall & 60 Fifth Avenue

CIMS consists of the NYU Departments of Mathematics and Computer Science as well as a variety of research activities. It is housed in Warren Weaver Hall on Mercer Street in NYU's Greenwich Village campus. The building contains lecture halls on the first and second floors, two meeting/seminar rooms on every floor from the 3rd floor to the 13th floor, a large common lounge on the 13th floor used for studying and open discussions in topics of mathematics and computer science, and its own extensive Courant library on the 12th floor. It also houses a variety of well-equipped laboratories and offices in Warren Weaver Hall for students and faculty to do research and discuss topics in mathematical sciences. In addition to Warren Weaver Hall, the Computer Science Department and Center for Data Science are located at 60 fifth Avenue.[33]

Computing resources

The Courant Institute has an IBM eServer BladeCenter system capable of peak performance of 4.5 TeraFlops. The acquisition of this supercomputer was funded by IBM and federal funding and is used primarily for research by the faculty and graduate and undergraduate students of the institute.[34] Computers at the institute run Windows, Solaris, Mac OS X, and Red Hat Enterprise Linux operating systems. There are also many other specialized Linux-based operating systems for research purposes. Every faculty and student office room is fully equipped with scientific software and computer stations. Wi-Fi and X terminals are available in public locations and every faculty and student office.

All graduate students are provided with an account to access computers and other resources within the institute's network. Undergraduate students are provided CIMS accounts with the approval of their advisor, sponsorship by a Courant professor, advanced coursework, or for research purposes. The institute's computing resources are not accessible to others without sponsorship by a CIMS professor or approval by either the Department of Mathematics or Department of Computer Science. Faculty, staff, and students with Courant account have access to free full-featured software provided by the MSDN Academic Alliance and specialized computing resources used primarily for research.[35][36][37]

Major research resources

CIMS houses an advanced multimillion-dollar Courant Applied Mathematics Laboratory that opened in 1998, co-founded by Stephen Childress and Michael J. Shelley, and sponsored by US Department of Energy and the National Science Foundation. It comprises an experimental facility in fluid mechanics and other applied areas and a visualization and simulation facility.[38] The Center for Atmosphere-Ocean Science is also housed at CIMS and is an interdisciplinary research and graduate program within the Courant Institute of Mathematical Sciences.[39]

Extracurricular activities

There are many clubs within the Courant Institute open to undergraduate and graduate students alike. These clubs include the Courant Student Organization, The ACM at NYU, Women-in-Computing (WinC), The Mathematics Society, Masters Association for Computer Science and many more. Additionally, CIMS sponsors and holds seminars and colloquiums almost daily on weekdays on topics of interest, in which some of whom may be held outside of Warren Weaver Hall. Many speakers of these seminars and colloquiums are experienced researchers from corporations from a variety of industries and researchers from private and government research laboratories, top universities, and NYU. Every academic year, CIMS holds award ceremonies, showcases, and parties to celebrate their faculty and undergraduate and graduate students and keep the academic atmosphere fun and enjoyable at CIMS. One such example is the NYU Computer Science Department Showcase held every semester to showcase projects that have been completed in various computer science graduate and undergraduate courses.[40][41][42][43][44]

History

In 1934, Richard Courant left Göttingen University in Germany to become a visiting professor at NYU. He was given the task of building up the Department of Mathematics at the NYU Graduate School of Arts and Science. He was later joined by Kurt O. Friedrichs and James J. Stoker. In 1946, the department was renamed "Institute for Mathematics and Mechanics". Also in 1946, NYU Professor Morris Kline focused on mathematical problems of electromagnetic wave propagation. This project gave rise to the institute's Division of Wave Propagation and Applied Mathematics. In 1952, the U.S. Atomic Energy Commission installed one of the first (electronic) computers at New York University, which led to the creation of the Courant Mathematics and Computing Laboratory. The Division of Magnetofluid Dynamics was initiated by a project on plasma fusion by NYU Professor Harold Grad in 1954. The institute was in the forefront of advanced hardware use, with an early IBM 7094 and the fourth produced CDC 6600. The Division of Computational Fluid Dynamics was created in 1978, arising from a project of NYU Professor Paul R. Garabedian.

برامج الدراسات العليا

فصل في وارن ويڤر هال

Recent CIMS doctoral placements for undergraduate and Master graduates include the following:[45]

cSplash and notable student activities

Undergraduate Courant student teaching a cSplash course on the ancient history of prime numbers

cSplash

أنشطة غير منهجية

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التاريخ

المديرون

مشاهير المدرسين

مشاهير الخريجين

انظر أيضاً

المصادر

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  9. ^ خطأ استشهاد: وسم <ref> غير صحيح؛ لا نص تم توفيره للمراجع المسماة shanghairanking.com
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  28. ^ [1] Archived مايو 31, 2010 at the Wayback Machine
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  46. ^ "Gary Robinson". Google. 2010-09-18. Retrieved 2010-09-18. I make the music recommendation technology at http://www.flyfi.com -- ... Schools I've attended Bard College; Courant Institute of Mathematical Sciences {{cite web}}: External link in |quote= (help); Italic or bold markup not allowed in: |publisher= (help)
  47. ^ Gary Robinson (Mar 01, 2003). "A Statistical Approach to the Spam Problem: Using Bayesian statistics to detect an e-mail's spamminess". Linux Journal. Retrieved 2010-09-18. This article discusses one of many possible mathematical foundations for a key aspect of spam filtering—generating ... {{cite news}}: Check date values in: |date= (help); Italic or bold markup not allowed in: |publisher= (help)

وصلات خارجية

قالب:American mathematics

40°43′43″N 73°59′44″W / 40.72858°N 73.99552°W / 40.72858; -73.99552

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