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Count Down: Six Kids Vie for Glory at the World's Toughest Math
Count Down Six Kids Vie for Glory | at the World's TOUGHEST MATH COMPETITION STEVE OLSON author of MAPPING HUMAN HISTORY, National Book Award finalist $Z4- 00 ACH SUMMER SIX MATH WHIZZES selected from nearly a half million EAmerican teens compete against the world's best problem solvers at the Interna• tional Mathematical Olympiad. Steve Olson, whose Mapping Human History was a Na• tional Book Award finalist, follows the members of a U.S. team from their intense tryouts to the Olympiad's nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the creative process, human intelligence and learning, and the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these athletes of the mind want to excel at whatever piques their cu• riosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about water polo and creative writing. An• other plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, in many ways these kids are not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the Olympiad, Steve Olson sheds light on such questions as why Americans feel so queasy about math, why so few girls compete in the subject, and whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down reveals a fascinating subculture and its engaging, driven inhabitants. -
Foundations of Computation, Version 2.3.2 (Summer 2011)
Foundations of Computation Second Edition (Version 2.3.2, Summer 2011) Carol Critchlow and David Eck Department of Mathematics and Computer Science Hobart and William Smith Colleges Geneva, New York 14456 ii c 2011, Carol Critchlow and David Eck. Foundations of Computation is a textbook for a one semester introductory course in theoretical computer science. It includes topics from discrete mathematics, automata the- ory, formal language theory, and the theory of computation, along with practical applications to computer science. It has no prerequisites other than a general familiarity with com- puter programming. Version 2.3, Summer 2010, was a minor update from Version 2.2, which was published in Fall 2006. Version 2.3.1 is an even smaller update of Version 2.3. Ver- sion 2.3.2 is identical to Version 2.3.1 except for a change in the license under which the book is released. This book can be redistributed in unmodified form, or in mod- ified form with proper attribution and under the same license as the original, for non-commercial uses only, as specified by the Creative Commons Attribution-Noncommercial-ShareAlike 4.0 Li- cense. (See http://creativecommons.org/licenses/by-nc-sa/4.0/) This textbook is available for on-line use and for free download in PDF form at http://math.hws.edu/FoundationsOfComputation/ and it can be purchased in print form for the cost of reproduction plus shipping at http://www.lulu.com Contents Table of Contents iii 1 Logic and Proof 1 1.1 Propositional Logic ....................... 2 1.2 Boolean Algebra ....................... -
Robert Macpherson Seen Through the Eyes of Others
Robert MacPherson seen through the eyes of others Compiled by Lizhen Ji June 1, 2006 Happy Birthday, Bob! 1 Introduction Robert MacPherson has made fundamental contributions to many branches of mathematics. His best known result is probably the joint work with Mark Goresky which established the intersection (co)homology of singular spaces.1 Another major piece of work, joint with Bill Fulton, also concerns the inter- section theory, which is rooted in a problem of Hilbert and led to the award2 winning book by Bill Fulton. 3 A partial list of other major topics in his work is the following: 1. Stratified Morse theory4 2. Characteristic classes of singular spaces, Rimann-Roch, K-groups etc. 3. Topological trace formula and weighted cohomology 1See Steven Kleiman’s survey paper for the discovery and many applications of the intersection homology, The development of intersection homology theory, in A century of mathematics in America, Part II, 543–585, Hist. Math., 2, Amer. Math. Soc., Providence, RI, 1989. 21996 Steele Prize of the American Mathematical Society. 3Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., Springer, 1998. 4See the survey article by David Massey in the special issues of Pure and Applied Mathematics Quarterly. 1 4. Geometric approach to Langlands program (equivariant cohomology etc) 5. Reduction theory and geometry of locally symmetric varieties5 6. Kalai conjecture on IH of toric varieties 7. Combinatorial manifolds 8. Configuration spaces and compactifications of various spaces 9. Polylogarithms, etc His approach to mathematics is geometric.6 In fact, his lectures are also geometric. Pictures and diagrams in colors are an important part. -
Maa 5229 Introductory Analysis 2 Change(S) Requested
UGPC APPROVAL __________________ Florida Atlantic University UFS APPROVAL ___________________ SCNS SUBMITTAL _________________ CONFIRMED ______________________ BANNER POSTED ___________________ CATALOG POSTED __________________ Graduate Programs—COURSE CHANGE REQUEST WEB POSTED _____________________ DEPARTMENT NAME: COLLEGE OF: MATHEMATICAL SCIENCES SCIENCE COURSE PREFIX & NUMBER: CURRENT COURSE TITLE: MAA 5229 INTRODUCTORY ANALYSIS 2 CHANGE(S) REQUESTED SHOW “X” IN FRONT OF OPTION SHOW “X” IN FRONT OF OPTION CHANGE PREFIX FROM TO: CHANGE TITLE TO: CHANGE COURSE NO. FROM TO: CHANGE DESCRIPTION TO: CHANGE CREDITS FROM TO: CHANGE PREREQUISITES TO: Continuation of topics in MAA 5228. Metric space topology, uniform convergence, Arzela-Ascoli theorem, differentiation and CHANGE COREQUISITES TO: integration of single variable functions, power series, Stone- CHANGE OTHER REGISTRATION CONTROLS TO: Weierstrauss Theorem, measure theory, Lebesgue integral, convergence theorems for the Lebesgue integral, CHANGE GRADING FROM TO: absolute continuity, the fundamental theorem of calculus. OTHER CHANGES TO BE EFFECTIVE (TERM): Attach syllabus for ANY FALL 2008 changes to current course information. Will the requested change(s) cause this course to overlap any Any other departments and/or colleges that might be affected by other FAU course(s)? If yes, please list course(s). the change(s) must be consulted. List entities that have been consulted and attach written comments from each. YES NO X NONE TERMINATE COURSE, EFFECTIVE (GIVE LAST TERM COURSE IS TO BE ACTIVE): Faculty Contact, Email, Complete Phone Number: W. KALIES, WKALIES @ FAU . EDU , (561) 297-1107 SIGNATURES SUPPORTING MATERIALS Approved by: Date: Syllabus—must include all criteria as detailed in UGPC Guidelines. Department Chair: __________________________________ _________________ Go to: www. fau.edu/graduate/gpc/index.php College Curriculum Chair: ____________________________ _________________ to access Guidelines and to download this form. -
Notices of the American Mathematical Society Is Support, for Carrying out the Work of the Society
OTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1989 Steele Prizes page 831 SEPTEMBER 1989, VOLUME 36, NUMBER 7 Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences This calendar lists all meetings which have been approved prior to Mathematical Society in the issue corresponding to that of the Notices the date this issue of Notices was sent to the press. The summer which contains the program of the meeting. Abstracts should be sub and annual meetings are joint meetings of the Mathematical Associ mitted on special forms which are available in many departments of ation of America and the American Mathematical Society. The meet mathematics and from the headquarters office of the Society. Ab ing dates which fall rather far in the future are subject to change; this stracts of papers to be presented at the meeting must be received is particularly true of meetings to which no numbers have been as at the headquarters of the Society in Providence, Rhode Island, on signed. Programs of the meetings will appear in the issues indicated or before the deadline given below for the meeting. Note that the below. First and supplementary announcements of the meetings will deadline for abstracts for consideration for presentation at special have appeared in earlier issues. sessions is usually three weeks earlier than that specified below. For Abstracts of papers presented at a meeting of the Society are pub additional information, consult the meeting announcements and the lished in the journal Abstracts of papers presented to the American list of organizers of special sessions. -
Real Proofs of Complex Theorems (And Vice Versa) Author(S): Lawrence Zalcman Source: the American Mathematical Monthly, Vol
Real Proofs of Complex Theorems (and Vice Versa) Author(s): Lawrence Zalcman Source: The American Mathematical Monthly, Vol. 81, No. 2 (Feb., 1974), pp. 115-137 Published by: Mathematical Association of America Stable URL: http://www.jstor.org/stable/2976953 Accessed: 05-04-2017 21:47 UTC REFERENCES Linked references are available on JSTOR for this article: http://www.jstor.org/stable/2976953?seq=1&cid=pdf-reference#references_tab_contents You may need to log in to JSTOR to access the linked references. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Mathematical Association of America is collaborating with JSTOR to digitize, preserve and extend access to The American Mathematical Monthly This content downloaded from 108.179.181.50 on Wed, 05 Apr 2017 21:47:20 UTC All use subject to http://about.jstor.org/terms REAL PROOFS OF COMPLEX THEOREMS (AND VICE VERSA) LAWRENCE ZALCMAN Introduction. It has become fashionable recently to argue that real and complex variables should be taught together as a unified curriculum in analysis. Now this is hardly a novel idea, as a quick perusal of Whittaker and Watson's Course of Modern Analysis or either Littlewood's or Titchmarsh's Theory of Functions (not to mention any number of cours d'analyse of the nineteenth or twentieth century) will indicate. -
Number Systems
Number Systems PDF generated using the open source mwlib toolkit. See http://code.pediapress.com/ for more information. PDF generated at: Sat, 09 Mar 2013 02:39:37 UTC Contents Articles Two's complement 1 Ones' complement 10 Binary-coded decimal 14 Gray code 24 Hexadecimal 39 Octal 50 Binary number 55 References Article Sources and Contributors 70 Image Sources, Licenses and Contributors 72 Article Licenses License 73 Two's complement 1 Two's complement Two's complement is a mathematical operation on binary numbers, as well as a binary signed number representation based on this operation. The two's complement of an N-bit number is defined as the complement with respect to 2N, in other words the result of subtracting the number from 2N. This is also equivalent to taking the ones' complement and then adding one, since the sum of a number and its ones' complement is all 1 bits. The two's complement of a number behaves like the negative of the original number in most arithmetic, and positive and negative numbers can coexist in a natural way. In two's-complement representation, negative numbers are represented by the two's complement of their absolute value;[1] in general, negation (reversing the sign) is performed by taking the two's complement. This system is the most common method of representing signed integers on computers.[2] An N-bit two's-complement numeral system can represent every integer in the range −(2N − 1) to +(2N − 1 − 1) while ones' complement can only represent integers in the range −(2N − 1 − 1) to +(2N − 1 − 1). -
Mathematicians & Programmers
MATHEMATICAL SOCIETY VOLUME 9 NUMBER 6 THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings • • • • • • • • • • • . • • • . • . • . • . • • • . • . • • • • • • • 3 60 Program of the October Meeting in Hanover, New Hampshire ••.••••••• 361 Abstracts of the Meeting- pages (388-393) MEMORANDA TO MEMBERS Retired Mathematicians . • • . • . • • • • • • • • • • • • . • • • • • • • • • • • • . • • 3 63 PRELIMINARY ANNOUNCEMENTS OF MEETINGS • • • • • • • • • • • • • • • • • • • • • 364 ACTIVITIES OF OTHER ASSOCIATIONS. • • • • • • • • • • • • • • • • • • • • • • • • • • • 366 ANNUAL SALARY SURVEY •.••••••••••••••••••••••••••••••••••• 367 STARTING SALARIES FOR MATHEMATICIANS WITH A Ph.D ••••••••••••••• 370 NEWS ITEMS AND ANNOUNCEMENTS •••••••••••••••••••• 371, 374, 384 387 REPORT OF THE AFFAIRS OF THE SOCIETY •••••••••••••••••••••••• 373 PERSONAL ITEMS. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •• • • • • • • • • • 375 NEW AMS PUBLICATIONS. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 384 SUPPLEMENTARY PROGRAM No. 13,............................. 385 ABSTRACTS OF CONTRIBUTED PAPERS ••••••••••••.•••••••••••••• 388 INDEX TO ADVERTISERS •••••••••••••• , • • • • • • • • • • • • • • • • • • • • • • • 423 RESERVATION FORM........................................ 423 MEETINGS CALENDAR OF MEETINGS NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NOTICES was sent to -
Omega: Chaitin's Demon
From SIAM News, Volume 39, Number 1, January/February 2006 Omega: Chaitin’s Demon Meta Math!: The Quest for Omega. By Gregory Chaitin, Pantheon Books, New York, 2005, 240 pages, $26.00. Problem: Name a book that combines mathematical history, philosophy, more than a whiff of theology, personal palaver, and brilliant insights, along with evidence of a Borges-like imagination, eyebrow-raising mathematical constructions, breathtaking excitement, grandiose ruminations, and some bosh. Solution: The book under review. This solution may not be unique, but with the addition of a side condition—that the book be a guide for readers seeking to learn where the oracular mathematical demon Omega resides—we certainly have uniqueness. We live in an age when some of our most brilliant scientists and mathematicians want to go beyond the confines of their disciplines as cur- rently pursued and create something revolutionary: one super-transcendental step for mankind, something meta, and, with an eye on sales, something sensational. Some years ago Gregory Chaitin, one of the stars at the IBM T.J. BOOK REVIEW Watson Research Center, defined a real number (or, more precisely, a construction, because a specific number Ω By Philip J. Davis emerges only after a Turing machine and an encoding have been arbitrarily selected) that he dubbed . Definition: Ω is the probability that a random program on a universal Turing machine will halt under the probability distribu- tion that a program of length k has probability 2 –k. In its ambiguity, Ω is something like the god Jupiter—now a swan, now a bull, depending on the opportunities available. -
Part I: 1865-1898
MATHEMATICS AT CORNELL MATHEMATICS AT CORNELL: STORIES AND CHARACTERS, 1865—1965 PART I: 1865-1898 PART I: 1865—1898, THE FIRST THIRTY YEARS PREAMBLE CHAPTER I: BEFORE CORNELL, 1800—1867 I.1 THREE EUROPEAN SCIENTISTS I.2 SCIENCE AND EDUCATION IN THE UNITED STATES BEFORE 1870 I.3 THE FOUNDERS CHAPTER II: THE EARLY YEARS, 1868—1878 II.1 THE OPENING OF CORNELL II.2 THE DEPARTMENT OF E.W. EVANS, Z.H. POTTER AND H.T. EDDY II.3 THE DEPARTMENT OF J.E. OLIVER, G.W. JONES AND L.A. WAIT II.4 THE FIRST STUDENTS CHAPTER III: TRANSITION, 1879—1887 III.1 JAMES EDWARD OLIVER (ALMOST SACKED) III.2 ABRAM ROGER BULLIS (1854—1928) III.3 ARTHUR STAFFORD HATHAWAY (1858—1934) III.4 THE JOHNS HOPKINS UNIVERSITY III.5 TOWARDS A GRADUATE PROGRAM INTERMEZZO: ROLLIN ARTHUR HARRIS (1863—1918) CHAPTER IV: THE BIRTH OF THE GRADUATE PROGRAM, 1888—1898 IV.1 THE RISE OF A COMMUNITY IV.2 GÖTTINGEN AND THE MATHEMATICAL CLUB IV.3 THE DEATHS OF JAMES OLIVER AND ERNST RITTER IV.4 MATHEMATICS AND CORNELL’S FOUNDING IDEAS MATHEMATICS AT CORNELL The Ithaca Journal, January 1st 18281 Beneath our feet the village lies, Above, around, on either side Improvements greet us far and wide. Here Eddy’s factory appears, First of the hardy pioneers. Yes, Ithaca, where from this brow I gaze around upon you, now I see you not as first I knew. Your dwellings, humble, how and few, Your chimney smokes I then could count; But now my eyes cannot surmount The splendid walls that meet the eye And mock my early memory. -
Final Exam 2019
Page 0 German University in Cairo January 18, 2020 Media Engineering and Technology Faculty Prof. Dr. Slim Abdennadher Dr. Nada Sharaf Dr. Mohamed Abdel Megeed Salem CSEN102: Introduction to Computer Science Winter Semester 2019-2020 Final Exam Bar Code Instructions: Read carefully before proceeding. 1) Please tick your major Major Engineering BI 2) Duration of the exam: 3 hours (180 minutes). 3) No books or other aids are permitted for this test. 4) This exam booklet contains 17 pages, including this one. Three extra sheets of scratch paper are attached and have to be kept attached. Note that if one or more pages are missing, you will lose their points. Thus, you must check that your exam booklet is complete. 5) Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the problem or on the four extra sheets and make an arrow indicating that. Scratch sheets will not be graded unless an arrow on the problem page indicates that the solution extends to the scratch sheets. 6) When you are told that time is up, stop working on the test. Good Luck! Don’t write anything below ;-) Exercise 1 2 3 4 5 6 7 (Bonus) P Possible Marks 16 14 6 30 15 20 6 91 Final Marks CSEN102: Introduction to Computer Science, Final Exam, January 18, 2020 Page 1 Exercise 1 General arithmetics (3+5+4+4=16 Marks) Number conversions In this exercise you have to convert numbers from one base to another. A number n of a base b other than 10 will be given on this page as nb For decimal numbers, the subscript base can be omitted (i. -
Felix Browder (1927–2016)
Felix Browder (1927–2016) Felix Browder received the National Medal of Science and served as president of the American Mathematical Society. For permission to reprint this article, please contact: [email protected]. DOI: http://dx.doi.org/10.1090/noti1757 1398 Notices of the AMS Volume 65, Number 11 Haïm Brezis, Guest Editor Felix Browder, mathematician shadowed by his father’s life as a Communist, dies at eighty-nine, The Washing- Felix Browder, who passed away exactly two years ago, ton Post, December 15, 2016, https://tinyurl.com was awarded the National Medal of Science by President /y9s7uhvh. Bill Clinton for “his pioneering work in nonlinear func- tional analysis and its applications to partial differential Photo Credit equations, and for leadership in the scientific commu- Opening photo of Felix Browder courtesy of Rutgers University. nity,…and in promoting science and math education for all.” Indeed, there were two Felix Browders! There was The Early Life of Felix Browder Felix, the solver of nonlinear problems, who made major Felix Earl Browder was born July 31, 1927 in Moscow, contributions to fixed point theory and was the leading Russia, and died December 10, 2016 in Princeton, New architect of the theory of monotone operators and its Jersey. His father, Earl Browder, an American political generalizations. Some of his ideas have been successfully activist, visited Russia in the 1920s as a representative used in tackling equations arising in real-world models. of the Communist Trade Unions in the United States. See below the descriptions of his research by former There, he met and married Raissa Berkmann, born in a student Roger D.