Mathematical Finance SIAM Books General and Recreational Maths

Total Page:16

File Type:pdf, Size:1020Kb

Mathematical Finance SIAM Books General and Recreational Maths Mathematics Pure Mathematics Applied Mathematics Statistics and Probability Mathematical Finance SIAM books General and Recreational Maths www.cambridge.org/mathematics 2007 Contents Highlights – SIAM Books Analysis and Probability 1 Cambridge University Press is delighted to announce Discrete Mathematics and a new arrangement with the Society of Industrial Foundations 2 and Applied Mathematics (SIAM), which means that Geometry and Topology 3 outside North America, and some parts of Asia, SIAM books will be available directly from Cambridge Algebra and Number Theory 6 University Press. If you are unsure what this means Computational Science 8 for you, please contact your local Cambridge office Dynamical Systems, Mechanics (details of these can be found on the inside back cover and Modelling 9 of this catalogue) or bookseller. Mathematical Physics and Biology 11 This catalogue contains only a selection of these Statistics, Applied Probability and books. However, you can browse all the SIAM titles Optimization 13 currently available from Cambridge (with many more Mathematical Finance 16 to come!) by visiting our web page: Classics in Mathematical Finance 17 www.cambridge.org/siam Computer Science 18 Cambridge University Press is also pleased to offer the SIAM Books 20 30% Members’ Discount on SIAM books. General and Recreational Maths 23 SIAM membership details can be obtained from www.siam.org/membership/ Author and Title Index 25 www.cambridge.org/mathematics This catalogue contains a selection of our most recent publishing in this area. Please visit our website for a full and searchable listing of all our titles in print and also an extensive range of news, features and resources. Our online ordering service is secure and easy to use. Cambridge University Press advances learning, knowledge and research worldwide. www.journals.cambridge.org Many of our journal titles are now available online. Each journal entry in this catalogue indicates where the price We set the standard for includes, or will include, access to the electronic version of the journal. Full text is available FREE to all individuals • The quality and validation of content within the registered domain address of full rate subscribers. In addition, the service provides all users with FREE • Design, production and printing access to tables of contents and abstracts, and a FREE email alerting service. • Cooperation with authors • Meeting our customers’ needs www.cambridge.org/online We value Cambridge Online will publish stand-alone electronic e-products alongside online collections derived from the best • Integrity and rigour of the Cambridge University Press academic and professional book lists. With products for higher education lecturers, researchers, professionals and students, the rich functionality afforded by online delivery offers a new dimension of • Creativity and innovation access and usability to our extensive scholarly content. • Trust and collaboration Useful contacts Book proposals: David Tranah ([email protected]) Further information about Mathematics titles: Graham Robertson ([email protected]) All other enquiries: phone +44 (0) 1223 312393 or email [email protected] Prices and publication dates are correct at the time of going to press but are subject to alteration without notice. Analysis and Probability 1 theorem of calculus; 15. The trigonometric Nonlinear Analysis Analysis and functions; 16. Pi is irrational; 17. Planetary motion; 18. The logarithm and exponential and Semilinear Probability functions; 19. Integration in elementary Elliptic Problems terms; Part IV. Infinite Sequences Antonio Ambrosetti and Infinite Series: 20. Approximation SISSA, Trieste FEATURE TITLE by polynomial functions; 21. e is and Andrea Malchiodi TEXTBOOK transcendental; 22. Infinite sequences; SISSA, Trieste 23. Infinite series; 24. Uniform convergence A First Course in A graduate text explaining how methods and power series; 25. Complex numbers; of nonlinear analysis can be used to 26. Complex functions; 27. Complex Mathematical Analysis tackle nonlinear differential equations. power series; Part V. Epilogue: 28. Fields; David Alexander Brannan Suitable for mathematicians, physicists The Open University, Milton Keynes 29. Construction of the real numbers; 30. Uniqueness of the real numbers; and engineers, topics covered range A down-to-earth advanced Calculus Suggested reading; Answers (to selected from elementary tools of bifurcation text. It has a large number of diagrams problems); Glossary of symbols; Index. theory and analysis to critical point and helpful margin notes; and uses 2006 252 x 225 mm 682pp theory and elliptic partial differential many graded examples and exercises, 700 line diagrams equations. The book is amply illustrated often with complete solutions, to guide 978-0-521-86744-3 HB £27.99 with many exercises. students through the tricky points. Cambridge Studies in Advanced Suitable for self-study or use in parallel Mathematics, 104 with a standard University course on the Linear Operators 2007 228 x 152 mm 328pp subject. and their Spectra 55 line diagrams 28 exercises Contents: Preface; Introduction: calculus E. Brian Davies 978-0-521-86320-9 HB £40.00 and analysis; 1. Numbers; 2. Sequences; King’s College London 3. Series; 4. Continuity; 5. Limits and This authoritative text presents a broad Random continuity; 6. Differentiation; 7. Integration; view of the spectral theory of non-self- Fragmentation and 8. Power series; Appendix 1. Sets, functions adjoint linear operators and contains and proofs; Appendix 2. Standard many illustrative examples and exercises. Coagulation Processes derivatives and primitives; Appendix 3. The Topics discussed include Fredholm Jean Bertoin first 1,000 decimal places of the square root theory, Hilbert-Schmidt and trace class Université de Paris VI (Pierre et Marie Curie) of 2, e and pi; Appendix 4. Solutions to the By the author of Lévy Processes, problems; Index. operators, one-parameter semigroups, perturbations of their generators and a the first comprehensive theoretical 2006 246 x 189 mm 472pp account of mathematical models for 211 line diagrams 1 table 207 exercises thorough account of the new theory of 978-0-521-86439-8 HB £50.00 pseudospectra. random and repeated fragmentation 978-0-521-68424-8 PB £24.99 Cambridge Studies in Advanced and coagulation over time. Written Mathematics, 106 for readers with a solid background in 2007 228 x 152 mm 400pp probability, its careful exposition allows FEATURE TITLE 15 line diagrams 274 exercises 15 figures graduate students, as well as working TEXTBOOK 978-0-521-86629-3 HB c. £40.00 mathematicians, to approach the Publication April 2007 material with confidence. Calculus Cambridge Studies in Advanced Third edition Methods in Banach Mathematics, 102 Michael Spivak 2006 228 x 152 mm 288pp Publish or Perish Inc, Houston, Texas Space Theory 978-0-521-86728-3 HB £37.50 Spivak’s celebrated Calculus combines Edited by Jesus M. F. Castillo Universidad de Extremadura leisurely explanations, a profusion of Markov Processes, examples, a wide range of exercises and and William B. Johnson Texas A & M University plenty of illustrations in an easy-going Gaussian Processes, approach that enlightens difficult This book presents a comprehensive and Local Times concepts and rewards effort. Ideal for overview of modern Banach space Michael B. Marcus honours students and mathematics theory. It contains sixteen papers that City University of New York majors seeking an alternative to reflect the wide expanse of the subject. and Jay Rosen doorstop textbooks and more formidable Articles are gathered into five sections, City University of New York introductions to real analysis. each with a key survey: geometrical methods; homological methods; ‘The main theme of this book is to Contents: Preface; Part I. Prologue: introduce the isomorphism theorem 1. Basic properties of mumbers; 2. Numbers topological methods; operator theoretic methods; function space methods. of E. B. Dynkin, and derive a number of various sorts; Part II. Foundations: of its powerful consequences. The 3. Functions; 4. Graphs; 5. Limits; London Mathematical Society Lecture Note Series, 337 isomorphism theorem describes a 6. Continuous functions; 7. Three hard beautiful connection between the theorems; 8. Least upper bounds; 2006 228 x 152 mm 370pp 4 line diagrams seemingly-disparate theories of 3 half-tones Part III. Derivatives and Integrals: Gaussian processes and Markov 978-0-521-68568-9 PB £40.00 9. Derivatives; 10. Differentiation; processes. This book presents a 11. Significance of the derivative; 12. Inverse definitive account, and is written by functions; 13. Integrals; 14. The fundamental two of the leading authorities in this Visit our website at www.cambridge.org 2 Analysis and Probability / Discrete Mathematics and Foundations exciting subject. It is well-crafted, Percolation Discrete and a pleasure to read. Because the Bela Bollobás authors have painstakingly worked Trinity College, Cambridge out a large number of examples Mathematics throughout the text, it should be very and Oliver Riordan Trinity College, Cambridge accessible to interested graduate and Foundations students, as well as researchers. It is The authors’ main aims are first to clear that this text is the standard present classical results in a way that’s reference for those who wish to learn accessible to non-specialists. Second, Fields’ Medal Winner about the powerful isomorphism to describe, for the first time in a book,
Recommended publications
  • Journal Abbreviations
    Abbreviations of Names of Serials This list gives the form of references used in Mathematical Reviews (MR). not previously listed ⇤ The abbreviation is followed by the complete title, the place of publication journal indexed cover-to-cover § and other pertinent information. † monographic series Update date: July 1, 2016 4OR 4OR. A Quarterly Journal of Operations Research. Springer, Berlin. ISSN Acta Math. Hungar. Acta Mathematica Hungarica. Akad. Kiad´o,Budapest. § 1619-4500. ISSN 0236-5294. 29o Col´oq. Bras. Mat. 29o Col´oquio Brasileiro de Matem´atica. [29th Brazilian Acta Math. Sci. Ser. A Chin. Ed. Acta Mathematica Scientia. Series A. Shuxue † § Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. Wuli Xuebao. Chinese Edition. Kexue Chubanshe (Science Press), Beijing. ISSN o o † 30 Col´oq. Bras. Mat. 30 Col´oquio Brasileiro de Matem´atica. [30th Brazilian 1003-3998. ⇤ Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. Acta Math. Sci. Ser. B Engl. Ed. Acta Mathematica Scientia. Series B. English § Edition. Sci. Press Beijing, Beijing. ISSN 0252-9602. † Aastaraam. Eesti Mat. Selts Aastaraamat. Eesti Matemaatika Selts. [Annual. Estonian Mathematical Society] Eesti Mat. Selts, Tartu. ISSN 1406-4316. Acta Math. Sin. (Engl. Ser.) Acta Mathematica Sinica (English Series). § Springer, Berlin. ISSN 1439-8516. † Abel Symp. Abel Symposia. Springer, Heidelberg. ISSN 2193-2808. Abh. Akad. Wiss. G¨ottingen Neue Folge Abhandlungen der Akademie der Acta Math. Sinica (Chin. Ser.) Acta Mathematica Sinica. Chinese Series. † § Wissenschaften zu G¨ottingen. Neue Folge. [Papers of the Academy of Sciences Chinese Math. Soc., Acta Math. Sinica Ed. Comm., Beijing. ISSN 0583-1431.
    [Show full text]
  • NEWSLETTER Issue: 491 - November 2020
    i “NLMS_491” — 2020/10/28 — 11:56 — page 1 — #1 i i i NEWSLETTER Issue: 491 - November 2020 COXETER THE ROYAL INSTITUTION FRIEZES AND PROBABILIST’S CHRISTMAS GEOMETRY URN LECTURER i i i i i “NLMS_491” — 2020/10/28 — 11:56 — page 2 — #2 i i i EDITOR-IN-CHIEF COPYRIGHT NOTICE Eleanor Lingham (Sheeld Hallam University) News items and notices in the Newsletter may [email protected] be freely used elsewhere unless otherwise stated, although attribution is requested when reproducing whole articles. Contributions to EDITORIAL BOARD the Newsletter are made under a non-exclusive June Barrow-Green (Open University) licence; please contact the author or David Chillingworth (University of Southampton) photographer for the rights to reproduce. Jessica Enright (University of Glasgow) The LMS cannot accept responsibility for the Jonathan Fraser (University of St Andrews) accuracy of information in the Newsletter. Views Jelena Grbic´ (University of Southampton) expressed do not necessarily represent the Cathy Hobbs (UWE) views or policy of the Editorial Team or London Christopher Hollings (Oxford) Mathematical Society. Stephen Huggett Adam Johansen (University of Warwick) ISSN: 2516-3841 (Print) Susan Oakes (London Mathematical Society) ISSN: 2516-385X (Online) Andrew Wade (Durham University) DOI: 10.1112/NLMS Mike Whittaker (University of Glasgow) Early Career Content Editor: Jelena Grbic´ NEWSLETTER WEBSITE News Editor: Susan Oakes Reviews Editor: Christopher Hollings The Newsletter is freely available electronically at lms.ac.uk/publications/lms-newsletter. CORRESPONDENTS AND STAFF MEMBERSHIP LMS/EMS Correspondent: David Chillingworth Joining the LMS is a straightforward process. For Policy Digest: John Johnston membership details see lms.ac.uk/membership.
    [Show full text]
  • Newsletter · Thursday 18Th
    KEEP UPDATED NEWSLETTER · THURSDAY 18TH ICIAM'S JOURNEY Like its predecessors, a congress such as ICIAM 2019 would have never been countries like South Africa. ICIAM possible without the organization and supervision of the International Council has the ability to promote for Industrial and Applied Mathematics (ICIAM), a formal entity created in 1990 mathematics all over the world". to supervise these quadrennial meetings. From Paris 1987 to Valencia 2019 many things have changed, and not just in the field of Industrial and Applied The current and future presidents Mathematics. of the Council agree in that ICIAM 2019 in Valencia has been an The original societies that founded ICIAM (GAMM, IMA, SIAM, and SMAI) are absolute success. "In my opinion now surrounded by many other members from around the world and the everything has worked very well Council has expanded its activities significantly since 2004. despite the huge number of participants", says Esteban. "The The Council is responsible for choosing the venue and the 27 invited speakers, conferences are of high quality and which are chosen with a diverse criteria, not only mathematically and in general, especially in the main geographicall, but also with respect to academic vs. industrial work, gender or conferences —invited and prizes— type of academic institution. Furthermore, it is also responsible for overseeing the lecturers have made a real the selection of the five ICIAM prizes —Collatz, Lagrange, Maxwell, Su Buchin, Ya-Xiang Yuan recalls attending ICIAM in effort to present their results in a and Pioneer— awarded every congress. its 1995 edition in Hamburg. "We were comprehensible and pleasant way only 20 Chinese and now we're like 300, for a great variety of participants as well as create a database with all so the same thing can happen to working in very diverse areas ".
    [Show full text]
  • AN13 and CT13 Abstracts
    AN13 and CT13 Abstracts Abstracts are printed as submitted by the authors. Society for Industrial and Applied Mathematics 3600 Market Street, 6th Floor Philadelphia, PA 19104-2688 USA Telephone: +1-215-382-9800 Fax: +1-215-386-7999 Conference E-mail: [email protected] Conference web: www.siam.org/meetings/ Membership and Customer Service: 800-447-7426 (US & Canada) or +1-215-382-9800 (worldwide) 2 2013 SIAM Annual Meeting • SIAM Conference on Control & Its Applications Table of Contents Annual Meeting (AN13) Abstracts ...............................................3 Control & Its Applications (CT13) .............................................127 SIAM Presents Since 2008, SIAM has recorded many Invited Lectures, Prize Lectures, and selected Minisymposia from various conferences. These are available by visiting SIAM Presents (http://www.siam.org/meetings/presents.php). 2013 SIAM Annual Meeting • SIAM Conference on Control & Its Applications 3 AN13 Abstracts 4 AN13 Abstracts IC1 system including cars, buses, pedestrians, ants and molecu- Social Networks as Information Filters lar motors, which are considered as ”self-driven particles”. We recently call this interdisciplinary research on jamming Social networks, especially online social networks, are of self-driven particles as ”jamology”. This is based on driven by information sharing. But just how much informa- mathematical physics, and and includes engineering appli- tion sharing is influenced by social networks? A large-scale cations as well. In the talk, starting from the backgroud experiment measured the effect of the social network on the of this research, simple mathematical models, such as the quantity and diversity of information being shared within asymmetric simple exclusion process and the Burgers equa- Facebook. While strong ties were found to be individu- tion, are introduced as basis of all kinds of traffic flow.
    [Show full text]
  • Download SC18 Final Program
    Program November 11-16, 2018 The International Conference Exhibits November 12-15, 2018 for High Performance KAY BAILEY HUTCHISON CONVENTION CENTER Computing, Networking, DALLAS, TEXAS, USA Storage, and Analysis Sponsored by: MICHAEL S. RAWLINGS Mayor of Dallas November 11, 2018 Supercomputing – SC18 Conference: As Mayor of Dallas, it is my pleasure to welcome SC18 – the ultimate international conference for high performance computing, networking, storage, and analysis – to the Kay Bailey Hutchison Convention Center! I applaud SC18 for bringing together high-performance computing (HPC) professionals and students from across the globe to share ideas, attend and participate in technical presentations, papers and workshops, all while inspiring the next generation of HPC professionals. Dallas is the No. 1 visitor destination in Texas and one of the top cities in the nation for meetings and conventions. In addition to having the resources to host major events and conventions, Dallas is a greatly diverse American city and a melting pot of cultures. This important convergence of uniqueness and differences is reflected throughout the sights and sounds of our city. Dallas' authentic arts, music, food, historic landmarks and urban lifestyle all contribute to the city's rich cultural makeup. Let the bold, vibrant spirit of Dallas, with a touch of Texas charm, guide the way to your BIG Dallas moments. Our city is filled with the unique experiences one can only have in Dallas – from cuisine by celebrity chefs, to the cultural landscape in one of the nation’s largest arts districts, to first-class shopping - make the most of your time in our great city! From transportation to hotels, restaurants, retail and entertainment venues, Dallas is ready to roll out our red carpet to host SC18.
    [Show full text]
  • List of Mathematics Impact Factor Journals Indexed in ISI Web of Science (JCR SCI, 2016)
    List of Mathematics Impact Factor Journals Indexed in ISI Web of Science (JCR SCI, 2016) Compiled by: Arslan Sheikh In Charge Reference & Research Section Library Information Services COMSATS Institute of Information Technology Park Road, Islamabad-Pakistan. Cell No +92-0321-9423071 [email protected] Rank Journal Title ISSN Impact Factor 1 ACTA NUMERICA 0962-4929 6.250 2 SIAM REVIEW 0036-1445 4.897 3 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 0894-0347 4.692 4 Nonlinear Analysis-Hybrid Systems 1751-570X 3.963 5 ANNALS OF MATHEMATICS 0003-486X 3.921 6 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 0010-3640 3.793 7 INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 1049-8923 3.393 8 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 0098-3500 3.275 9 Publications Mathematiques de l IHES 0073-8301 3.182 10 INVENTIONES MATHEMATICAE 0020-9910 2.946 11 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 0218-2025 2.860 12 Advances in Nonlinear Analysis 2191-9496 2.844 13 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 1615-3375 2.829 14 Communications in Nonlinear Science and Numerical Simulation 1007-5704 2.784 15 FUZZY SETS AND SYSTEMS 0165-0114 2.718 16 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 1063-5203 2.634 17 SIAM Journal on Imaging Sciences 1936-4954 2.485 18 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 0294-1449 2.450 19 ACTA MATHEMATICA 0001-5962 2.448 20 MATHEMATICAL PROGRAMMING 0025-5610 2.446 21 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 0003-9527 2.392 22 CHAOS 1054-1500 2.283 23 APPLIED MATHEMATICS LETTERS 0893-9659
    [Show full text]
  • Abbreviations of Names of Serials
    Abbreviations of Names of Serials This list gives the form of references used in Mathematical Reviews (MR). ∗ not previously listed The abbreviation is followed by the complete title, the place of publication x journal indexed cover-to-cover and other pertinent information. y monographic series Update date: January 30, 2018 4OR 4OR. A Quarterly Journal of Operations Research. Springer, Berlin. ISSN xActa Math. Appl. Sin. Engl. Ser. Acta Mathematicae Applicatae Sinica. English 1619-4500. Series. Springer, Heidelberg. ISSN 0168-9673. y 30o Col´oq.Bras. Mat. 30o Col´oquioBrasileiro de Matem´atica. [30th Brazilian xActa Math. Hungar. Acta Mathematica Hungarica. Akad. Kiad´o,Budapest. Mathematics Colloquium] Inst. Nac. Mat. Pura Apl. (IMPA), Rio de Janeiro. ISSN 0236-5294. y Aastaraam. Eesti Mat. Selts Aastaraamat. Eesti Matemaatika Selts. [Annual. xActa Math. Sci. Ser. A Chin. Ed. Acta Mathematica Scientia. Series A. Shuxue Estonian Mathematical Society] Eesti Mat. Selts, Tartu. ISSN 1406-4316. Wuli Xuebao. Chinese Edition. Kexue Chubanshe (Science Press), Beijing. ISSN y Abel Symp. Abel Symposia. Springer, Heidelberg. ISSN 2193-2808. 1003-3998. y Abh. Akad. Wiss. G¨ottingenNeue Folge Abhandlungen der Akademie der xActa Math. Sci. Ser. B Engl. Ed. Acta Mathematica Scientia. Series B. English Wissenschaften zu G¨ottingen.Neue Folge. [Papers of the Academy of Sciences Edition. Sci. Press Beijing, Beijing. ISSN 0252-9602. in G¨ottingen.New Series] De Gruyter/Akademie Forschung, Berlin. ISSN 0930- xActa Math. Sin. (Engl. Ser.) Acta Mathematica Sinica (English Series). 4304. Springer, Berlin. ISSN 1439-8516. y Abh. Akad. Wiss. Hamburg Abhandlungen der Akademie der Wissenschaften xActa Math. Sinica (Chin. Ser.) Acta Mathematica Sinica.
    [Show full text]
  • WAYS to GET INVOLVED Organize Lectures, Meetings, and Other to Young Mathematicians and Scientists
    SIAM is a leading international organization of professionals and students whose primary interest is in SIAM SECTIONS STUDENT CHAPTERS mathematics and computational science and their applications. SIAM’s mission is to advance and raise www.siam.org/sections www.siam.org/students/ awareness about applied math and related fields through its books, journals, conferences, online resources, and SIAM encourages the formation of chapters a variety of programs and initiatives. sections comprised of members residing SIAM student chapters promote applied in a defined geographic region. Sections mathematics and computational science Incorporated in 1952 as a non-profit organization, SIAM has worked WAYS TO GET INVOLVED organize lectures, meetings, and other to young mathematicians and scientists. toward the following goals for more than 65 years: activities that serve their members. On college and university campuses, • to advance the application of mathematics and computational SIAM ACTIVITY GROUPS (SIAGS) Some sections include nearby student interdisciplinary participation by a variety science to engineering, industry, science, and society; www.siam.org/activity chapters in their activities. of departments is encouraged. Chapters provide students with opportunities to • to promote research that will lead to effective new mathematical NORTH AMERICA Communicate and stay current. SIAG members organize get to know faculty members outside of and computational methods and techniques for science, conferences and minisymposia, distribute newsletters and Central States Section – Arkansas, the classroom, share ideas and research engineering, industry, and society; electronic communications, maintain websites and wikis, and Colorado, Iowa, Kansas, Mississippi, with people with similar interests, learn about career • to provide media for the exchange of information and ideas award prizes.
    [Show full text]
  • Maths Ranking
    Journal Data Filtered By: Selected JCR Year: 2018 Selected Editions: SCIE Selected Categories: 'MATHEMATICS' Selected Category Scheme: WoS Rank Full Journal Title Total Cites Journal Impact Factor Eigenfactor Score 1 ACTA NUMERICA 1,999 7.417 0.003320 2 Advances in Nonlinear Analysis 478 6.636 0.002880 3 Forum of Mathematics Pi 130 5.250 0.002740 4 ANNALS OF MATHEMATICS 12,419 4.165 0.020860 JOURNAL OF THE AMERICAN MATHEMATICAL 5 SOCIETY 3,694 4.091 0.012320 6 Fractional Calculus and Applied Analysis 2,108 3.514 0.004630 COMMUNICATIONS ON PURE AND APPLIED 7 MATHEMATICS 9,332 3.138 0.015600 8 Journal of Numerical Mathematics 469 3.107 0.000890 9 ACTA MATHEMATICA 4,401 3.045 0.004710 10 INVENTIONES MATHEMATICAE 9,739 2.906 0.024290 FOUNDATIONS OF COMPUTATIONAL 11 MATHEMATICS 1,702 2.540 0.006730 12 Advances in Calculus of Variations 211 2.316 0.002000 MEMOIRS OF THE AMERICAN MATHEMATICAL 13 SOCIETY 2,710 2.297 0.006080 14 Publications Mathematiques de l IHES 1,683 2.263 0.004270 15 DUKE MATHEMATICAL JOURNAL 6,593 2.199 0.019120 16 RUSSIAN MATHEMATICAL SURVEYS 3,085 2.038 0.003810 17 CALCOLO 649 1.981 0.001550 JOURNAL DE MATHEMATIQUES PURES ET 18 APPLIQUEES 3,422 1.961 0.011530 19 JOURNAL OF DIFFERENTIAL EQUATIONS 14,837 1.938 0.039920 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE 20 SUPERIEURE 2,715 1.932 0.008410 JOURNAL FUR DIE REINE UND ANGEWANDTE 21 MATHEMATIK 6,139 1.859 0.015290 22 Analysis and Mathematical Physics 226 1.792 0.000850 JOURNAL OF THE EUROPEAN MATHEMATICAL 23 SOCIETY 1,816 1.780 0.016790 24 JOURNAL OF DIFFERENTIAL GEOMETRY
    [Show full text]
  • Evolving Graphs and Similarity-Based Graphs with Applications
    EVOLVING GRAPHS AND SIMILARITY-BASED GRAPHS WITH APPLICATIONS A thesis submitted to the University of Manchester for the degree of Doctor of Philosophy in the Faculty of Science and Engineering 2018 Weijian Zhang School of Mathematics Contents Abstract 9 Declaration 10 Copyright Statement 11 Publications 12 Acknowledgements 13 1 Introduction 14 2 Background 20 2.1 VectorSpaceModels ............................ 20 2.1.1 Word Embeddings . 21 2.1.2 Term Frequency and Inverse Document Frequency . 22 2.1.3 Word2Vec . 24 2.2 Euler and Graphs . 26 2.2.1 EvolvingGraphs .......................... 27 2.2.2 EvolvingGraphCentrality . 28 I Evolving Graph Traversal and Centrality 31 3 Dynamic Network Analysis in Julia 32 3.1 Introduction . 32 3.2 Node-ActiveModel ............................. 34 3.3 RepresentingEvolvingGraphs . 35 2 3.4 Components . 37 3.5 Katz Centrality . 40 3.6 ExamplesofUseCases ........................... 41 3.7 Conclusion . 44 4 The Right Way to Search Evolving Graphs 46 4.1 Introduction . 46 4.2 Breadth-FirstSearchoverEvolvingGraphs. 48 4.2.1 TemporalPathsoverActiveNodes . 48 4.2.2 Breadth-First Traversal Over Temporal Paths . 49 4.2.3 DescriptionoftheBFSalgorithm . 51 4.3 Formulating the Evolving Graph BFS with Linear Algebra . 55 4.3.1 The importance of causal edges . 55 4.3.2 Defining forward neighbors algebraically . 57 4.3.3 Evolving graphs as a blocked adjacency matrix. 58 4.3.4 The algebraic formulation of BFS on evolving graphs . 61 4.3.5 Computational complexity analysis of the algebraic BFS . 63 4.4 ImplementationinJulia . 64 4.5 ApplicationtoCitationNetworks . 65 4.6 Conclusion . 66 5 A Closer Look at Time-Preserving Paths on Evolving Graphs 67 5.1 Introduction .
    [Show full text]
  • Solving Block Low-Rank Linear Systems by LU Factorization Is Numerically Stable Nicholas Higham, Théo Mary
    Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable Nicholas Higham, Théo Mary To cite this version: Nicholas Higham, Théo Mary. Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable. IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2021, 10.1093/imanum/drab020. hal-02496325v3 HAL Id: hal-02496325 https://hal.archives-ouvertes.fr/hal-02496325v3 Submitted on 7 Jun 2021 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stabley NICHOLAS J. HIGHAM Department of Mathematics, University of Manchester, Manchester, M13 9PL, UK ([email protected]) THEO MARY Sorbonne Universite,´ CNRS, LIP6, Paris, France. ([email protected]) Block low-rank (BLR) matrices possess a blockwise low-rank property that can be exploited to reduce the complexity of numerical linear algebra algorithms. The impact of these low-rank approximations on the numerical stability of the algorithms in floating-point arithmetic has not previously been analyzed. We present rounding error analysis for the solution of a linear system by LU factorization of BLR matri- ces. Assuming that a stable pivoting scheme is used, we prove backward stability: the relative backward error is bounded by a modest constant times e, where the low-rank threshold e is the parameter control- ling the accuracy of the blockwise low-rank approximations.
    [Show full text]
  • 1 Annex 1. Journals Included in the Database (1975-2009)
    Annex 1. Journals included in the database (1975-2009) Nº of Earliest Journal Name articles year ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 612 1981 ABSTRACT AND APPLIED ANALYSIS 272 2005 ACTA ARITHMETICA 2623 1981 ACTA MATHEMATICA 542 1975 ACTA MATHEMATICA HUNGARICA 2528 1983 ACTA MATHEMATICA SCIENTIA 1640 1983 ACTA MATHEMATICA SINICA‐ENGLISH SERIES 1198 1999 ADVANCED NONLINEAR STUDIES 252 2002 ADVANCES IN DIFFERENCE EQUATIONS 201 2005 ADVANCES IN GEOMETRY 291 2001 ADVANCES IN MATHEMATICS 2735 1975 ALGEBRA AND LOGIC 103 2007 ALGEBRA COLLOQUIUM 669 1997 ALGEBRA UNIVERSALIS 1654 1981 ALGEBRAIC AND GEOMETRIC TOPOLOGY 411 2005 ALGEBRAS AND REPRESENTATION THEORY 264 2001 AMERICAN JOURNAL OF MATHEMATICS 1751 1975 AMERICAN MATHEMATICAL MONTHLY 3872 1975 ANALYSIS AND APPLICATIONS 60 2007 ANNALES ACADEMIAE SCIENTIARUM FENNICAE‐MATHEMATICA 344 1982 ANNALES DE L INSTITUT FOURIER 1782 1975 ANNALES POLONICI MATHEMATICI 149 2007 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 831 1975 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA‐CLASSE DI SCIENZE 228 2002 ANNALI DI MATEMATICA PURA ED APPLICATA 242 1984 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 552 1995 ANNALS OF MATHEMATICS 1567 1975 ANNALS OF PURE AND APPLIED LOGIC 1572 1983 APPLIED CATEGORICAL STRUCTURES 469 1995 ARCHIV DER MATHEMATIK 5390 1975 ARCHIVE FOR MATHEMATICAL LOGIC 314 1996 ARKIV FOR MATEMATIK 737 1975 ARS COMBINATORIA 2351 1985 ASIAN JOURNAL OF MATHEMATICS 154 2005 ASTERISQUE 1402 1981 AVERAGE‐CASE ANALYSIS OF NUMERICAL PROBLEMS 7489 1981 BALKAN JOURNAL OF GEOMETRY
    [Show full text]