“ ” Applied Mathematics

Total Page:16

File Type:pdf, Size:1020Kb

“ ” Applied Mathematics APPLIED CONNECT WITH US MATHEMATICS Bachelor of Arts Cal Day Come to Berkeley’s annual Open House in April for information sessions, campus tours, special talks, and more. INTRODUCTION TO THE MAJOR Golden Bear Orientation Join your peers in the campus-wide UC The Applied Mathematics major prepares students to Berkeley orientation program for all new use mathematical concepts to formulate, analyze, and students. solve real-world problems. Students in the major learn: • Research, communications, analytical, and modelling Events skills to develop their mathematical reasoning skills. Attend department events with students, • Techniques and procedures to formulate and solve faculty, and staff. Visitmath.berkeley.edu for news and updates. problems in mathematical notation. • To identify real-world problems as subject to mathematical reasoning and to abstract general principles from the examples. Visit the Berkeley Academic Guide for more information. ADVISING The Math advising team serves both declared and prospective majors. Photo credit: Keegan Houser Photo credit: Keegan Houser Meet with them to discuss major requirements, policies and procedures, The rigorous classes helped me think deeply about helpful resources, enriching opportunities, HOW TO USE THIS MAP and much more! “ problem-solving and made me a more analytical thinker. – Applied Math” Major Use this map to help plan and guide your experience For more information or to contact at UC Berkeley, including academic, co-curricular, an advisor, visit math.berkeley.edu/ and discovery opportunities. Everyone’s Berkeley programs/undergraduate/advising. MAJOR CLUSTERS experience is different and activities in this map AMPLIFY YOUR MAJOR are suggestions. Always consult with your advisors The Applied Mathematics major provides students whenever possible for new opportunities and updates. with the opportunity to customize their learning by • Add a Teaching Concentration to your selecting a cluster pathway. A cluster is an approved major and join CalTeach to prepare for a concentration of courses in a specific field of applied career in education. mathematics. There are more than 15 approved • Test your problem-solving skills in the clusters with the most popular being: prestigious Putnam Competition. Visit vcue.berkeley.edu/majormaps for the latest version of this major map. • Actuarial Science • Apply to a Research Experience for • Computer Science Undergraduate Summer Program. • Economics • Work alongside a graduate student mentor through the Directed Reading • Statistics Program. Mathematics More information on approved clusters can be found • Write an honors thesis or execute an 970 Evans Hall #3840 at math.berkeley.edu. Students can also design their independent study project. Berkeley, CA 94720-3840 own cluster with the guidance and approval of faculty. math.berkeley.edu APPLIED MATHEMATICS DESIGN YOUR JOURNEY Bachelor of Arts FIRST YEAR SECOND YEAR THIRD YEAR FOURTH YEAR WHAT CAN I DO WITH MY MAJOR? Explore your major Review your major and college requirements. Complete the prerequisites and declare Plan your cluster courses or design your own Meet with your major advisor and with your Jobs and Employers Map out a 4-year plan on CalCentral. Applied Mathematics as your major. with the help of a faculty advisor. college advisor to verify your completion of all Consider a minor or a summer minor and Apply to complete the Honors Program in major and college requirements. Get tutoring help from the Student Learning Actuarial Analyst, Aon Risk Services Center or individual tutors. plan your upcoming semesters accordingly. Applied Mathematics with the help of the Take any “bucket list” courses and remaining Honors Program Advisor. major, college, and campus requirements. AI Research Director, Numerate Visit the peer advisor blog to learn about Challenge yourself by taking Honors sections Analyst, Kohl’s undergraduate life in the Math Department. of courses. Register for the department and campus-wide Applications Engineer, Revmotive commencement ceremonies. Business Analyst, Wayfair Data Analyst, Tribe Dynamics Connect Data Scientist, Oracle and build Discover hundreds of student organizations at Attend a lecture or workshop hosted by the Join career-oriented groups, such as Data Become a Mathematics Peer Advisor and help Digital Analyst, McKinsey & Company community Calapalooza student activities fair. Math department. Scholars or the Cal Actuarial League. prospective and current Mathematics students. Energy Analyst, CA Energy Build your community through Math Connect with peer advisors at the Math Consider applying for a leadership position Connect with alumni groups and build your Financial Consultant, Deloitte undergraduate organizations. department to learn how to make the most of within your student organization. network as you prepare to graduate. Research Assistant, IMF your time at UC Berkeley. Software Develop. Engineer, Amazon Get a mentor by enrolling in a Mathematics Become a Golden Bear Orientation Leader Software Engineer, PayPal department section of Berkeley Connect. Go to office hours to build connections with and welcome new students to the UC Berkeley SW Engineer Intern, City & Cty. of SF professors and graduate student instructors. campus and community. Software Quality Associate, Waymo Discover your passions Take L&S1 for an introduction to the College. Connect with faculty to discuss their work and Apply to a Research Experience for Teach your own DeCal course. Graduate Programs Visit the Office of Undergraduate Research research in Mathematics. Undergraduates Summer Program. Write an honors thesis or execute an and Scholarships. Assist a professor in their research through the Apply to SURF Rose Hills/L&S and Haas independent study under the supervision of a Accounting Actuarial Science Enroll in a Freshman & Sophomore Seminar. Undergraduate Research Apprenticeship Scholars Program. faculty member. Artificial Intelligence and Robotics Program. Conduct research during the summer through Keep pursuing your interests through a Compete in the Putnam Competition. Take Applied Mathematics Work closely with a graduate student through the MSRI Undergraduate Program. fellowship or gap year after graduation. the MATH 191: Advanced Problem Solving to Biomedical Sciences the Directed Reading Program. elevate your success in the Competition. Business Computational Mathematics Engage Computer Graphics locally and Explore study abroad options now, so you can Deepen your knowledge of applied Tutor students at the Student Learning Apply to be an Undergraduate Mathematics Computer Science globally start planning out your upcoming semesters. mathematics by attending workshops and Center. Tutor. Economics Check out volunteer opportunities on conferences. Intern and study in Washington D.C. with Explore gap year opportunities that you may Electrical Engineering campus. Study abroad as a sophomore, junior, or senior UCDC or Cal in the Capital. wish to pursue before your next big adventure. Finance International Studies Follow the Mathematics Undergraduate with Berkeley Study Abroad. Study Mathematics abroad in Moscow, Russia Go on service trips over spring or winter break Neurobiology Calendar to stay up-to-date with important Take classes at another UC or college through or Budapest, Hungary. with the Alternative Breaks program. Physics events and opportunities. a visitor and exchange program. Secondary Education Statistics Reflect and plan Use the Yearly Planner to guide your career Meet alumni and learn about their career paths Attend career and graduate school fairs. Boost your networking skills by attending your future path. in the Career Connections Networking Network with professionals from various events with UC Berkeley alumni. Join Handshake to find Berkeley-specific Series. industries in Employer Information Sessions. Find full-time jobs and paid internships through internship opportunities and career Conduct Informational Interviews to learn Prepare to take exams required for graduate On-Campus Recruiting. development workshops. more about differentcareer fields. school. Update your resume and LinkedIn profile. Examples gathered from the Shadow alumni in the Winter Externship Attend internship fairs to find internship Apply to graduate and professional school First Destination Survey of recent Program. opportunities. programs. Berkeley graduates. Updated Last: 05042021.
Recommended publications
  • Social Choice Theory Christian List
    1 Social Choice Theory Christian List Social choice theory is the study of collective decision procedures. It is not a single theory, but a cluster of models and results concerning the aggregation of individual inputs (e.g., votes, preferences, judgments, welfare) into collective outputs (e.g., collective decisions, preferences, judgments, welfare). Central questions are: How can a group of individuals choose a winning outcome (e.g., policy, electoral candidate) from a given set of options? What are the properties of different voting systems? When is a voting system democratic? How can a collective (e.g., electorate, legislature, collegial court, expert panel, or committee) arrive at coherent collective preferences or judgments on some issues, on the basis of its members’ individual preferences or judgments? How can we rank different social alternatives in an order of social welfare? Social choice theorists study these questions not just by looking at examples, but by developing general models and proving theorems. Pioneered in the 18th century by Nicolas de Condorcet and Jean-Charles de Borda and in the 19th century by Charles Dodgson (also known as Lewis Carroll), social choice theory took off in the 20th century with the works of Kenneth Arrow, Amartya Sen, and Duncan Black. Its influence extends across economics, political science, philosophy, mathematics, and recently computer science and biology. Apart from contributing to our understanding of collective decision procedures, social choice theory has applications in the areas of institutional design, welfare economics, and social epistemology. 1. History of social choice theory 1.1 Condorcet The two scholars most often associated with the development of social choice theory are the Frenchman Nicolas de Condorcet (1743-1794) and the American Kenneth Arrow (born 1921).
    [Show full text]
  • Mathematics and Materials
    IAS/PARK CITY MATHEMATICS SERIES Volume 23 Mathematics and Materials Mark J. Bowick David Kinderlehrer Govind Menon Charles Radin Editors American Mathematical Society Institute for Advanced Study Society for Industrial and Applied Mathematics 10.1090/pcms/023 Mathematics and Materials IAS/PARK CITY MATHEMATICS SERIES Volume 23 Mathematics and Materials Mark J. Bowick David Kinderlehrer Govind Menon Charles Radin Editors American Mathematical Society Institute for Advanced Study Society for Industrial and Applied Mathematics Rafe Mazzeo, Series Editor Mark J. Bowick, David Kinderlehrer, Govind Menon, and Charles Radin, Volume Editors. IAS/Park City Mathematics Institute runs mathematics education programs that bring together high school mathematics teachers, researchers in mathematics and mathematics education, undergraduate mathematics faculty, graduate students, and undergraduates to participate in distinct but overlapping programs of research and education. This volume contains the lecture notes from the Graduate Summer School program 2010 Mathematics Subject Classification. Primary 82B05, 35Q70, 82B26, 74N05, 51P05, 52C17, 52C23. Library of Congress Cataloging-in-Publication Data Names: Bowick, Mark J., editor. | Kinderlehrer, David, editor. | Menon, Govind, 1973– editor. | Radin, Charles, 1945– editor. | Institute for Advanced Study (Princeton, N.J.) | Society for Industrial and Applied Mathematics. Title: Mathematics and materials / Mark J. Bowick, David Kinderlehrer, Govind Menon, Charles Radin, editors. Description: [Providence] : American Mathematical Society, [2017] | Series: IAS/Park City math- ematics series ; volume 23 | “Institute for Advanced Study.” | “Society for Industrial and Applied Mathematics.” | “This volume contains lectures presented at the Park City summer school on Mathematics and Materials in July 2014.” – Introduction. | Includes bibliographical references. Identifiers: LCCN 2016030010 | ISBN 9781470429195 (alk. paper) Subjects: LCSH: Statistical mechanics–Congresses.
    [Show full text]
  • Msc in Applied Mathematics
    MSc in Applied Mathematics Title: Past, Present and Challenges in Yang-Mills Theory Author: José Luis Tejedor Advisor: Sebastià Xambó Descamps Department: Departament de Matemàtica Aplicada II Academic year: 2011-2012 PAST, PRESENT AND CHALLENGES IN YANG-MILLS THEORY Jos´eLuis Tejedor June 11, 2012 Abstract In electrodynamics the potentials are not uniquely defined. The electromagnetic field is un- changed by gauge transformations of the potential. The electromagnestism is a gauge theory with U(1) as gauge group. C. N. Yang and R. Mills extended in 1954 the concept of gauge theory for abelian groups to non-abelian groups to provide an explanation for strong interactions. The idea of Yang-Mills was criticized by Pauli, as the quanta of the Yang-Mills field must be massless in order to maintain gauge invariance. The idea was set aside until 1960, when the concept of particles acquiring mass through symmetry breaking in massless theories was put forward. This prompted a significant restart of Yang-Mills theory studies that proved succesful in the formula- tion of both electroweak unification and quantum electrodynamics (QCD). The Standard Model combines the strong interaction with the unified electroweak interaction through the symmetry group SU(3) ⊗ SU(2) ⊗ U(1). Modern gauge theory includes lattice gauge theory, supersymme- try, magnetic monopoles, supergravity, instantons, etc. Concerning the mathematics, the field of Yang-Mills theories was included in the Clay Mathematics Institute's list of \Millenium Prize Problems". This prize-problem focuses, especially, on a proof of the conjecture that the lowest excitations of a pure four-dimensional Yang-Mills theory (i.e.
    [Show full text]
  • Applied Analysis & Scientific Computing Discrete Mathematics
    CENTER FOR NONLINEAR ANALYSIS The CNA provides an environment to enhance and coordinate research and training in applied analysis, including partial differential equations, calculus of Applied Analysis & variations, numerical analysis and scientific computation. It advances research and educational opportunities at the broad interface between mathematics and Scientific Computing physical sciences and engineering. The CNA fosters networks and collaborations within CMU and with US and international institutions. Discrete Mathematics & Operations Research RANKINGS DOCTOR OF PHILOSOPHY IN ALGORITHMS, COMBINATORICS, U.S. News & World Report AND OPTIMIZATION #16 | Applied Mathematics Carnegie Mellon University offers an interdisciplinary Ph.D program in Algorithms, Combinatorics, and #7 | Discrete Mathematics and Combinatorics Optimization. This program is the first of its kind in the United States. It is administered jointly #6 | Best Graduate Schools for Logic by the Tepper School of Business (Operations Research group), the Computer Science Department (Algorithms and Complexity group), and the Quantnet Department of Mathematical Sciences (Discrete Mathematics group). #4 | Best Financial Engineering Programs Carnegie Mellon University does not CONTACT discriminate in admission, employment, or Logic administration of its programs or activities on Department of Mathematical Sciences the basis of race, color, national origin, sex, handicap or disability, age, sexual orientation, 5000 Forbes Avenue gender identity, religion, creed, ancestry,
    [Show full text]
  • Numerical Linear Algebra and Matrix Analysis
    Numerical Linear Algebra and Matrix Analysis Higham, Nicholas J. 2015 MIMS EPrint: 2015.103 Manchester Institute for Mathematical Sciences School of Mathematics The University of Manchester Reports available from: http://eprints.maths.manchester.ac.uk/ And by contacting: The MIMS Secretary School of Mathematics The University of Manchester Manchester, M13 9PL, UK ISSN 1749-9097 1 exploitation of matrix structure (such as sparsity, sym- Numerical Linear Algebra and metry, and definiteness), and the design of algorithms y Matrix Analysis to exploit evolving computer architectures. Nicholas J. Higham Throughout the article, uppercase letters are used for matrices and lower case letters for vectors and scalars. Matrices are ubiquitous in applied mathematics. Matrices and vectors are assumed to be complex, unless ∗ Ordinary differential equations (ODEs) and partial dif- otherwise stated, and A = (aji) denotes the conjugate ferential equations (PDEs) are solved numerically by transpose of A = (aij ). An unsubscripted norm k · k finite difference or finite element methods, which lead denotes a general vector norm and the corresponding to systems of linear equations or matrix eigenvalue subordinate matrix norm. Particular norms used here problems. Nonlinear equations and optimization prob- are the 2-norm k · k2 and the Frobenius norm k · kF . lems are typically solved using linear or quadratic The notation “i = 1: n” means that the integer variable models, which again lead to linear systems. i takes on the values 1; 2; : : : ; n. Solving linear systems of equations is an ancient task, undertaken by the Chinese around 1AD, but the study 1 Nonsingularity and Conditioning of matrices per se is relatively recent, originating with Arthur Cayley’s 1858 “A Memoir on the Theory of Matri- Nonsingularity of a matrix is a key requirement in many ces”.
    [Show full text]
  • Arxiv:2012.09211V1 [Math-Ph] 16 Dec 2020
    Supersymmetry and Representation Theory in Low Dimensions Mathew Calkins1a;b, S. James Gates, Jr.2c;d, and Caroline Klivans3c;e;f aGoogle Search, 111 8th Ave, New York, NY 10011, USA, bCourant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA cBrown Theoretical Physics Center, Box S, 340 Brook Street, Barus Hall, Providence, RI 02912, USA dDepartment of Physics, Brown University, Box 1843, 182 Hope Street, Barus & Holley, Providence, RI 02912, USA eDivision of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02906, USA and f Institute for Computational & Experimental Research in Mathematics, Brown University, 121 South Main Street Providence, RI 02903, USA ABSTRACT Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of math- ematics and theory by the concept of \supersymmetry" or \SUSY," an introduc- tion to efforts to develop a complete representation theory is given. Techniques drawing from graph theory, coding theory, Coxeter Groups, Riemann surfaces, arXiv:2012.09211v1 [math-ph] 16 Dec 2020 and computational approaches to the study of algebraic varieties are briefly highlighted as pathways for future exploration and progress. PACS: 11.30.Pb, 12.60.Jv Keywords: algorithms, off-shell, optimization, supermultiplets, supersymmetry 1 [email protected] 2 sylvester−[email protected] 3 Caroline−[email protected] 1 Supersymmetry and the Standard Model As far as experiments in elementary particle physics reveal, the basic constituents of matter and interactions (i.e. forces excluding gravity) in our universe can be summarized in the list of particles shown in the table indicated in Fig.
    [Show full text]
  • Brochure on Careers in Applied Mathematics
    careers in applied mathematics Options for STEM Majors society for industrial and applied mathematics 2 / careers in applied mathematics Mathematics and computational science are utilized in almost every discipline of science, engineering, industry, and technology. New application areas are WHERE CAN YOU WHAT KINDS OF PROBLEMS MIGHT YOU WORK ON? constantly being discovered MAKE AN IMPACT? While careers in mathematics may differ widely by discipline while established techniques Many different types and job title, one thing remains constant among them— are being applied in new of organizations hire problem solving. Some potential problems that someone with ways and in emerging fields. mathematicians and mathematical training might encounter are described below. Consequently, a wide variety computational scientists. Which of them do you find most intriguing, and why? of career opportunities You can easily search the • How can an airline use smarter scheduling to reduce costs of are open to people with websites of organizations and aircraft parking and engine maintenance? Or smarter pricing mathematical talent and corporations that interest to maximize profit? training. you to learn more about their • How can one design a detailed plan for a clinical trial? Building such a plan requires advanced statistical skills and In this guide, you will find answers to sophisticated knowledge of the design of experiments. questions about careers in applied mathematics • Is ethanol a viable solution for the world’s dependence and computational science, and profiles on fossil fuels? Can biofuel production be optimized to of professionals working in a variety of combat negative implications on the world’s economy and environment? environments for which a strong background • How do we use major advances in computing power to in mathematics is necessary for success.
    [Show full text]
  • International Journal of Pure and Applied Mathematics ————————————————————————– Volume 26 No
    International Journal of Pure and Applied Mathematics ————————————————————————– Volume 26 No. 4 2006, 569-575 GENERIC ELEMENTS OF FREE COLOR LIE SUPERALGEBRAS Dilek Kahyalar Department of Mathematics Faculty of Arts and Sciences C¸ukurova University Balcali 01330, Adana, TURKEY e-mail: [email protected] Abstract: Let L be a finitely generated free color Lie superalgebra. We construct a series of generic elements of L. AMS Subject Classification: 17B01, 17B40 Key Words: generic element, almost primitive element 1. Introduction In the articles [1], [2], [4], [5] generic elements of free groups and of free Lie algebras were studied. In particular, series of generic elements of free groups were constructed. In [1] it was shown that for a variety with solvable word problem there is an algorithm to recognize generic elements. Let U be a variety of Lie algebras defined by the set of laws, L the free color Lie superalgebra and D(L) be the verbal ideal. An element f of L is said to be D−generic if f ∈ D(L) but f∈ / D(H) for every proper subalgebra H of L. In general, generic does not imply almost primitive element, see [3]. At the same time in [3] it was proved that if U is a nontrivial variety defined by the set of laws D and w ∈ D(F ) and w is almost primitive element of F then w is D−generic. In this article we consider generic elements in free color Lie superalgebras. Received: February 6, 2006 c 2006, Academic Publications Ltd. 570 D. Kahyalar 2. Preliminaries Let G be an abelian group, K a field, charK = 2, K∗ the multiplicative group of K, ε : G × G → K∗ a skew symetric bilinear form for which ε(g, g) = ±1, G− = {g ∈ G : ε(g, g)= −1}.
    [Show full text]
  • Non-Degenerate Killing Forms on Hom-Lie Superalgebras
    Non-degenerate Killing forms on Hom-Lie superalgebras Abdoreza Armakan1, Mohammad Reza Farhangdoost1, Sergei Silvestrov2 1Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran. e-mails: [email protected], [email protected]; [email protected] 2 Division of Applied Mathematics, School of Education, Culture and Communication, M¨alardalen University, Box 883, 72123 V¨asteras, Sweden. e-mail: [email protected] Abstract In this paper we investigate some important basic properties of simple Hom-Lie superalgebras and show that a Hom-Lie superalgebra does not have any left or right nontrivial ideals. Moreover, we classify invariant bilinear forms on a given simple Hom- Lie superalgebra. Then we study the Killing forms on a Hom-Lie algebra which are examples of the invariant bilinear forms. Making use of the Killing forms, we find conditions for a Hom-Lie superalgebra to be classical. Furthermore, we check the conditions in which the Killing form of a Hom-Lie superalgebra is non-degenerate. 1 Introduction The investigations of various quantum deformations or q-deformations of Lie algebras began a period of rapid expansion in 1980’s stimulated by introduction of quantum groups motivated by applications to the quantum Yang-Baxter equation, quantum inverse scattering methods and constructions of the quantum deformations of universal arXiv:2010.01778v2 [math.RA] 6 Oct 2020 enveloping algebras of semi-simple Lie algebras. Various q-deformed Lie algebras have appeared in physical contexts such as string theory, vertex models in conformal field theory, quantum mechanics and quantum field theory in the context of deformations of infinite-dimensional algebras, primarily the Heisenberg algebras, oscillator algebras and Witt and Virasoro algebras.
    [Show full text]
  • Representations of the Lie Superalgebra Osp(1L2n)
    Symmetry, Integrability and Geometry: Methods and Applications SIGMA 17 (2021), 031, 27 pages Representations of the Lie Superalgebra osp(1j2n) with Polynomial Bases Asmus K. BISBO a, Hendrik DE BIE b and Joris VAN DER JEUGT a a) Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium E-mail: [email protected], [email protected] b) Department of Electronics and Information Systems, Faculty of Engineering and Architecture, Ghent University, Krijgslaan 281-S8, B-9000 Gent, Belgium E-mail: [email protected] Received June 30, 2020, in final form March 10, 2021; Published online March 25, 2021 https://doi.org/10.3842/SIGMA.2021.031 Abstract. We study a particular class of infinite-dimensional representations of osp(1j2n). These representations Ln(p) are characterized by a positive integer p, and are the lowest com- ponent in the p-fold tensor product of the metaplectic representation of osp(1j2n). We con- struct a new polynomial basis for Ln(p) arising from the embedding osp(1j2np) ⊃ osp(1j2n). The basis vectors of Ln(p) are labelled by semi-standard Young tableaux, and are expressed as Clifford algebra valued polynomials with integer coefficients in np variables. Using com- binatorial properties of these tableau vectors it is deduced that they form indeed a basis. The computation of matrix elements of a set of generators of osp(1j2n) on these basis vectors requires further combinatorics, such as the action of a Young subgroup on the horizontal strips of the tableau. Key words: representation theory; Lie superalgebras; Young tableaux; Clifford analysis; parabosons 2020 Mathematics Subject Classification: 17B10; 05E10; 81R05; 15A66 1 Introduction In representation theory of Lie algebras, Lie superalgebras or their deformations, there are often three problems to be tackled.
    [Show full text]
  • Projects and Publications of the Applied Mathematics
    Projects and Publications of the NATIONAL APPLIED MATHEMATICS LABORATORIES A QUARTERLY REPORT October through December 1949 NATIONAL APPLIED MATHEMATICS LABORATORIES of the NATIONAL BUREAU OF STANDARDS : . .. NATIONAL APPLIED MATHEMATICS LABORATORIES October 1 through December 31, 1949 ADMINISTRATIVE OFFICE John H. Curtiss, Ph.D., Chief Edward W. Cannon, Ph.D., Assistant Chief Olga Taussky-Todd, Ph.D., Mathematics Consultant Myrtle R. Wellington, M.A., Technical Aid Luis 0. Rodriguez, M.A., Chief Clerk John B. Taller ico, B.C.S., Assistant Chief Clerk Jacqueline Y. Barch, Secretary Dora P. Cornwell, Secretary Esther McCraw, Secretary Pauline F. Peterson, Secretary INSTITUTE FOR NUMERICAL ANALYSIS COMPUTATION LABORATORY Los Angeles, California J. Barkley Rosser, Ph.D Director of Research John Todd, B.S Chief Albert S. Cahn, Jr., M.S Assistant to Director Franz L. Alt, Ph.D Assistant Chief Arnold N. Lowan, Ph.D .... Consultant Research Staff Jack Belzer, B.A . Mathematician Forman S. Acton, Ph.D Mathematic 1 an Donald 0. Larson, B.S . Mathematician George E. Forsythe, Ph.D Mathematician Joseph H. Levin, Ph.D . Mathematician Magnus R. Hestenes, Ph.D Mathematic 1 an Herbert E. Salzer, M.A . Mathematician William Karush, Ph.D Mathematician Irene A. Stegun, M.A . Mathematician Cornelius Lanczos, Ph.D Mathematician Computing Staff: Alexander M. Ostrowski, Ph.D . Consultant Otto Szasz, Ph.D Mathematician Oneida L. Baylor Lionel Levinson, B. M.E. Wolfgang R. Wasow, Ph.D.*... Mathematician Ruth E. Capuano Dav IdS. Li epman Natalie Coplan, B.A. Michael S. Montalbano, B.A. Graduate Fellows: Bernard C. Dove Malcolm W. Oliphant, M.A. George E. Gourrich, B.
    [Show full text]
  • Numerical Linear Algebra Texts in Applied Mathematics 55
    Grégoire Allaire 55 Sidi Mahmoud Kaber TEXTS IN APPLIED MATHEMATICS Numerical Linear Algebra Texts in Applied Mathematics 55 Editors J.E. Marsden L. Sirovich S.S. Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Texts in Applied Mathematics 1. Sirovich: Introduction to Applied Mathematics. 2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. 3. Hale/Koc¸ak: Dynamics and Bifurcations. 4. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed. 5. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations. 6. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd ed. 7. Perko: Differential Equations and Dynamical Systems, 3rd ed. 8. Seaborn: Hypergeometric Functions and Their Applications. 9. Pipkin: A Course on Integral Equations. 10. Hoppensteadt/Peskin: Modeling and Simulation in Medicine and the Life Sciences, 2nd ed. 11. Braun: Differential Equations and Their Applications, 4th ed. 12. Stoer/Bulirsch: Introduction to Numerical Analysis, 3rd ed. 13. Renardy/Rogers: An Introduction to Partial Differential Equations. 14. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. 15. Brenner/Scott: The Mathematical Theory of Finite Element Methods, 2nd ed. 16. Van de Velde: Concurrent Scientific Computing. 17. Marsden/Ratiu: Introduction to Mechanics and Symmetry, 2nd ed. 18. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems. 19. Kaplan/Glass: Understanding Nonlinear Dynamics. 20. Holmes: Introduction to Perturbation Methods. 21. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory. 22. Thomas: Numerical Partial Differential Equations: Finite Difference Methods. 23. Taylor: Partial Differential Equations: Basic Theory. 24. Merkin: Introduction to the Theory of Stability of Motion.
    [Show full text]