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| putnam exam questions: The William Lowell Putnam Mathematical Competition 1985-2000 Kiran Sridhara Kedlaya, Bjorn Poonen, Ravi Vakil, 2002 A collection of problems from the William Lowell Putnam Competition which places them in the context of important mathematical themes. |
| putnam exam questions: The William Lowell Putnam Mathematical Competition Gerald L. Alexanderson, Leonard F. Klosinski, Loren C. Larson, 2003 The Putnam Competition has since 1928 been providing a challenge to gifted college mathematics students. This book, the second of the Putnam Competition volumes, contains problems with their solutions for the years 1965-1984. Additional solutions are presented for many of the problems. Included is an essay on recollections of the first Putnam Exam by Herbert Robbins, as well as appendices listing the winning teams and students from 1965 through 1984. This volume offers the problem solver an enticing sample of challenging problems and their solutions. In 1980, the MAA published the first William Lowell Putnam Mathematical Competition book, covering the contest from 1938 to 1964. In 2002 the third of the Putnam problem books appeared, covering the years 1985 through 2000. All three of these books belong on the bookshelf of students, teachers, and all interested in problem solving. |
| putnam exam questions: Putnam and Beyond Răzvan Gelca, Titu Andreescu, 2017-09-19 This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons. |
| putnam exam questions: The William Lowell Putnam Mathematical Competition 2001-2016 Kiran Sridhara Kedlaya, Daniel M. Kane, Jonathan Michael Kane, Evan M. O'Dorney, 2020 The William Lowell Putnam Mathematics Competition is the most prestigious undergraduate mathematics problem-solving contest in North America, with thousands of students taking part every year. This volume presents the contest problems for the years 2001-2016. The heart of the book is the solutions; these include multiple approaches, drawn from many sources, plus insights into navigating from the problem statement to a solution. There is also a section of hints, to encourage readers to engage deeply with the problems before consulting the solutions.The authors have a distinguished history of en. |
| putnam exam questions: The Art and Craft of Problem Solving Paul Zeitz, 2016-11-14 Appealing to everyone from college-level majors to independent learners, The Art and Craft of Problem Solving, 3rd Edition introduces a problem-solving approach to mathematics, as opposed to the traditional exercises approach. The goal of The Art and Craft of Problem Solving is to develop strong problem solving skills, which it achieves by encouraging students to do math rather than just study it. Paul Zeitz draws upon his experience as a coach for the international mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems. |
| putnam exam questions: Problem-Solving Strategies Arthur Engel, 2008-01-19 A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a problem of the week, thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market. |
| putnam exam questions: The Company They Kept Lara Putnam, 2003-11-03 In the late nineteenth century, migrants from Jamaica, Colombia, Barbados, and beyond poured into Caribbean Central America, building railroads, digging canals, selling meals, and farming homesteads. On the rain-forested shores of Costa Rica, U.S. entrepreneurs and others established vast banana plantations. Over the next half-century, short-lived export booms drew tens of thousands of migrants to the region. In Port Limon, birthplace of the United Fruit Company, a single building might house a Russian seamstress, a Martinican madam, a Cuban doctor, and a Chinese barkeep--together with stevedores, laundresses, and laborers from across the Caribbean. Tracing the changing contours of gender, kinship, and community in Costa Rica's plantation region, Lara Putnam explores new questions about the work of caring for children and men and how it fit into the export economy, the role of kinship as well as cash in structuring labor, the social networks that shaped migrants' lives, and the impact of ideas about race and sex on the exercise of power. Based on sources that range from handwritten autobiographies to judicial transcripts and addressing topics from intimacy between prostitutes to insults between neighbors, the book illuminates the connections between political economy, popular culture, and everyday life. |
| putnam exam questions: The William Lowell Putnam Mathematical Competition Problems and Solutions Andrew M. Gleason, R. E. Greenwood, Leroy Milton Kelly, 1980 Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L. E. Bush, L. J. Mordell, and L. M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.--Back cover. |
| putnam exam questions: Problems and Solutions in Mathematics Ji-Xiu Chen, 2011 This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference. |
| putnam exam questions: The Collapse of the Fact/Value Dichotomy and Other Essays Hilary Putnam, 2004-03-30 If philosophy has any business in the world, it is the clarification of our thinking and the clearing away of ideas that cloud the mind. In this book, one of the world's preeminent philosophers takes issue with an idea that has found an all-too-prominent place in popular culture and philosophical thought: the idea that while factual claims can be rationally established or refuted, claims about value are wholly subjective, not capable of being rationally argued for or against. Although it is on occasion important and useful to distinguish between factual claims and value judgments, the distinction becomes, Hilary Putnam argues, positively harmful when identified with a dichotomy between the objective and the purely subjective. Putnam explores the arguments that led so much of the analytic philosophy of language, metaphysics, and epistemology to become openly hostile to the idea that talk of value and human flourishing can be right or wrong, rational or irrational; and by which, following philosophy, social sciences such as economics have fallen victim to the bankrupt metaphysics of Logical Positivism. Tracing the problem back to Hume's conception of a matter of fact as well as to Kant's distinction between analytic and synthetic judgments, Putnam identifies a path forward in the work of Amartya Sen. Lively, concise, and wise, his book prepares the way for a renewed mutual fruition of philosophy and the social sciences. |
| putnam exam questions: Problems in Mathematical Analysis: Real numbers, sequences, and series Wiesława J. Kaczor, Maria T. Nowak, 2000 Solutions for all the problems are provided.--BOOK JACKET. |
| putnam exam questions: Model Rules of Professional Conduct American Bar Association. House of Delegates, Center for Professional Responsibility (American Bar Association), 2007 The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts. |
| putnam exam questions: Pragmatism Hilary Putnam, 1995-02-17 Hilary Putnam has been at the center of contemporary debates about the nature of the mind and of its access to the world, about language and its relation to reality, and many other metaphysical and epistemological issues. In this book he turns to pragmatism - and confronts the teachings of James, Peirce, Dewey, and Wittgenstein - not solely out of an interest in theoretical questions, but above all to respond to the questions of whether it is possible to find an alternative to corrosive moral skepticism, on the one hand, and to moral authoritarianism on the other. |
| putnam exam questions: Problems , 1994 This is an outstanding collection of challenging problems of Olympiad-style mathematics for High School students. Taken from the annual Austrian-Polish Mathematics Competition (APMC), these problems are appropriate for students & teachers who are interested in supplementing their normal mathematical curriculums with advanced problem-solving exercises. Each problem has a solution that is presented with elegant style & clarity, reflecting the long-standing tradition associated with Polish mathematicians. THIS BOOK SHOULD BE ON EVERY HIGH SCHOOL LIBRARY SHELF IN ORDER TO GIVE HIGHLY MOTIVATED MATH STUDENTS EVERY OPPORTUNITY TO STRENGTHEN THEIR SKILLS & TO FACE NEW CHALLENGES. Problems will also help students prepare for local, national or international mathematics competitions. Students & teachers will enjoy the refreshing nature of Dr. Kuczma's intelligence & style of writing. Dr. Marcin Kuczma, from the University of Warsaw, Poland, is devoted to teaching & to mathematics competitions. He has been active in the Polish Mathematical Olympiad for about twenty years. He is responsible for the proposal of several International Mathematical Olympiad (IMO) problems, as well as numerous Austrian-Polish Mathematics Competition problems. He is also the recipient of many honors, including the prestigious David Hilbert Medal, awarded in 1992 by the World Federation of National Mathematics Competitions. Ordering information: Academic Distribution Center, 1218 Walker Rd., Freeland, MD 21053, phone#/FAX#: (410) 343-0409. |
| putnam exam questions: Problems in Mathematical Analysis Wieslawa J. Kaczor, Maria T. Nowak, 2000 |
| putnam exam questions: The Survival of a Mathematician Steven George Krantz, 2009 One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration. In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide.--BOOK JACKET. |
| putnam exam questions: THE CRUCIBLE ARTHUR MILLER, 1971 |
| putnam exam questions: 103 Trigonometry Problems Titu Andreescu, Zuming Feng, 2004-12-15 * Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training |
| putnam exam questions: Jewish Philosophy as a Guide to Life Hilary Putnam, 2008-02-19 An “engagingly personal” exploration of Rosenzweig, Buber, Levinas, and the relationship between philosophy and religion (Times Literary Supplement). In this book, distinguished philosopher and practicing Jew Hilary Putnam questions the thought of three major Jewish philosophers of the twentieth century—Franz Rosenzweig, Martin Buber, and Emmanuel Levinas—to help him reconcile the philosophical and religious sides of his life. An additional presence in the book is Ludwig Wittgenstein, who, although not a practicing Jew, thought about religion in ways that Putnam juxtaposes to the views of Rosenzweig, Buber, and Levinas. Putnam explains the leading ideas of each of these great thinkers, bringing out what, in his opinion, constitutes the decisive intellectual and spiritual contributions of each of them. Although the religion discussed is Judaism, the depth and originality of these philosophers, as incisively interpreted by Putnam, make their thought nothing less than a guide to life. “One of the most distinguished analytical philosophers, Putnam has written an unusual book that uses the thought of key philosophers to find points of commonality between the religious and the philosophical.” —Library Journal |
| putnam exam questions: Princeton Problems in Physics, with Solutions Nathan Newbury, 1991-02-21 Aimed at helping the physics student to develop a solid grasp of basic graduate-level material, this book presents worked solutions to a wide range of informative problems. These problems have been culled from the preliminary and general examinations created by the physics department at Princeton University for its graduate program. The authors, all students who have successfully completed the examinations, selected these problems on the basis of usefulness, interest, and originality, and have provided highly detailed solutions to each one. Their book will be a valuable resource not only to other students but to college physics teachers as well. The first four chapters pose problems in the areas of mechanics, electricity and magnetism, quantum mechanics, and thermodynamics and statistical mechanics, thereby serving as a review of material typically covered in undergraduate courses. Later chapters deal with material new to most first-year graduate students, challenging them on such topics as condensed matter, relativity and astrophysics, nuclear physics, elementary particles, and atomic and general physics. |
| putnam exam questions: Berkeley Problems in Mathematics Paulo Ney de Souza, Jorge-Nuno Silva, 2004-01-20 This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. |
| putnam exam questions: Mathematical Olympiad in China (2007-2008) Bin Xiong, Peng Yee Lee, 2009 The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002?2006 appear in an earlier volume, Mathematical Olympiad in China. |
| putnam exam questions: Making Sense of Intractable Environmental Conflicts Roy Lewicki, Barbara Gray, Michael Elliott, 2003 Despite a vast amount of effort and expertise devoted to them, many environmental conflicts have remained mired in controversy, stubbornly defying resolution. Why can some environmental problems be resolved in one locale but remain contentious in another, often carrying on for decades? What is it about certain issues or the people involved that make a conflict seemingly insoluble. Making Sense of Intractable Environmental Conflicts addresses those and related questions, examining what researchers and experts in the field characterize as intractable disputes—intense disputes that persist over long periods of time and cannot be resolved through consensus-building efforts or by administrative, legal, or political means. The approach focuses on the frames parties use to define and enact the dispute—the lenses through which they interpret and understand the conflict and critical conflict dynamics. Through analysis of interviews, news media coverage, meeting transcripts, and archival data, the contributors to the book: examine the concepts of frames, framing, and reframing, and the role that framing plays in conflicts outline the essential characteristics of intractability and its major causes offer case studies of eight intractable environmental conflicts present a rich body of original interview material from affected parties set forth recommendations for intervention that can help resolve disputes Within each case chapter, the authors describe the historical development and fundamental nature of the conflict and then analyze the case from the perspective of the key frames that are integral to understanding the dynamics of the dispute. They also offer cross-case analyses of related conflicts. Conflicts examined include those over natural resource use, toxic pollutants, water quality, and growth. Specific conflicts examined are the Quincy Library Group in California; Voyageurs National Park in Minnesota; Edwards Aquifer in Texas; Doan Brook in Cleveland, Ohio; the Antidegradation Environmental Advisory Group in Ohio; Drake Chemical in Pennsylvania; Alton Park/Piney Woods in Tennessee; and three examples of growth-related conflicts along the Front Range of Colorado's Rocky Mountains. |
| putnam exam questions: Thnking Mathematically J Mason, L. Burton, K. Stacey, 2011-01-10 Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience. |
| putnam exam questions: The Silent Patient Alex Michaelides, 2019-02-05 **THE INSTANT #1 NEW YORK TIMES BESTSELLER** An unforgettable—and Hollywood-bound—new thriller... A mix of Hitchcockian suspense, Agatha Christie plotting, and Greek tragedy. —Entertainment Weekly The Silent Patient is a shocking psychological thriller of a woman’s act of violence against her husband—and of the therapist obsessed with uncovering her motive. Alicia Berenson’s life is seemingly perfect. A famous painter married to an in-demand fashion photographer, she lives in a grand house with big windows overlooking a park in one of London’s most desirable areas. One evening her husband Gabriel returns home late from a fashion shoot, and Alicia shoots him five times in the face, and then never speaks another word. Alicia’s refusal to talk, or give any kind of explanation, turns a domestic tragedy into something far grander, a mystery that captures the public imagination and casts Alicia into notoriety. The price of her art skyrockets, and she, the silent patient, is hidden away from the tabloids and spotlight at the Grove, a secure forensic unit in North London. Theo Faber is a criminal psychotherapist who has waited a long time for the opportunity to work with Alicia. His determination to get her to talk and unravel the mystery of why she shot her husband takes him down a twisting path into his own motivations—a search for the truth that threatens to consume him.... |
| putnam exam questions: From Toussaint to Tupac Michael O. West, William G. Martin, Fanon Che Wilkins, 2009-09-01 Transcending geographic and cultural lines, From Toussaint to Tupac is an ambitious collection of essays exploring black internationalism and its implications for a black consciousness. At its core, black internationalism is a struggle against oppression, whether manifested in slavery, colonialism, or racism. The ten essays in this volume offer a comprehensive overview of the global movements that define black internationalism, from its origins in the colonial period to the present. From Toussaint to Tupac focuses on three moments in global black history: the American and Haitian revolutions, the Garvey movement and the Communist International following World War I, and the Black Power movement of the late twentieth century. Contributors demonstrate how black internationalism emerged and influenced events in particular localities, how participants in the various struggles communicated across natural and man-made boundaries, and how the black international aided resistance on the local level, creating a collective consciousness. In sharp contrast to studies that confine Black Power to particular national locales, this volume demonstrates the global reach and resonance of the movement. The volume concludes with a discussion of hip hop, including its cultural and ideological antecedents in Black Power. Contributors: Hakim Adi, Middlesex University, London Sylvia R. Frey, Tulane University William G. Martin, Binghamton University Brian Meeks, University of the West Indies, Mona, Jamaica Marc D. Perry, University of Illinois, Urbana-Champaign Lara Putnam, University of Pittsburgh Vijay Prashad, Trinity College Robyn Spencer, Lehman College Robert T. Vinson, College of William and Mary Michael O. West, Binghamton University Fanon Che Wilkins, Doshisha University, Kyoto, Japan |
| putnam exam questions: Concepts and Problems for Mathematical Competitors Alexander Sarana, Anatoliy Pogorui, Ramón M. Rodríguez-Dagnino, 2020-08-12 This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves. |
| putnam exam questions: Real Mathematical Analysis Charles Chapman Pugh, 2013-03-19 Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is pure mathematics, and I hope it appeals to you, the budding pure mathematician. Berkeley, California, USA CHARLES CHAPMAN PUGH Contents 1 Real Numbers 1 1 Preliminaries 1 2 Cuts . . . . . 10 3 Euclidean Space . 21 4 Cardinality . . . 28 5* Comparing Cardinalities 34 6* The Skeleton of Calculus 36 Exercises . . . . . . . . 40 2 A Taste of Topology 51 1 Metric Space Concepts 51 2 Compactness 76 3 Connectedness 82 4 Coverings . . . 88 5 Cantor Sets . . 95 6* Cantor Set Lore 99 7* Completion 108 Exercises . . . 115 x Contents 3 Functions of a Real Variable 139 1 Differentiation. . . . 139 2 Riemann Integration 154 Series . . 179 3 Exercises 186 4 Function Spaces 201 1 Uniform Convergence and CO[a, b] 201 2 Power Series . . . . . . . . . . . . 211 3 Compactness and Equicontinuity in CO . 213 4 Uniform Approximation in CO 217 Contractions and ODE's . . . . . . . . 228 5 6* Analytic Functions . . . . . . . . . . . 235 7* Nowhere Differentiable Continuous Functions . 240 8* Spaces of Unbounded Functions 248 Exercises . . . . . 251 267 5 Multivariable Calculus 1 Linear Algebra . . 267 2 Derivatives. . . . 271 3 Higher derivatives . 279 4 Smoothness Classes . 284 5 Implicit and Inverse Functions 286 290 6* The Rank Theorem 296 7* Lagrange Multipliers 8 Multiple Integrals . . |
| putnam exam questions: The Best Law Schools' Admissions Secrets Joyce Curll, 2008 Offers advice for getting into law school from a former Dean of Admissions at Harvard Law School that includes the importance of the LSAT score and tips for getting the most effective letters of recommendation. |
| putnam exam questions: Topology for Analysis Albert Wilansky, 2008-10-17 Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition. |
| putnam exam questions: Problems in Real Analysis Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu, 2009-06-12 Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. |
| putnam exam questions: Quant Job Interview Questions and Answers Mark Joshi, Nick Denson, Nicholas Denson, Andrew Downes, 2013 The quant job market has never been tougher. Extensive preparation is essential. Expanding on the successful first edition, this second edition has been updated to reflect the latest questions asked. It now provides over 300 interview questions taken from actual interviews in the City and Wall Street. Each question comes with a full detailed solution, discussion of what the interviewer is seeking and possible follow-up questions. Topics covered include option pricing, probability, mathematics, numerical algorithms and C++, as well as a discussion of the interview process and the non-technical interview. All three authors have worked as quants and they have done many interviews from both sides of the desk. Mark Joshi has written many papers and books including the very successful introductory textbook, The Concepts and Practice of Mathematical Finance. |
| putnam exam questions: The Cauchy-Schwarz Master Class J. Michael Steele, 2004-04-26 This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics. |
| putnam exam questions: Challenging Mathematical Problems with Elementary Solutions ?. ? ?????, Isaak Moiseevich I?Aglom, Basil Gordon, 1987-01-01 Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions. |
| putnam exam questions: Horace's "Carmen Saeculare" Michael C. J. Putnam, 2008-10-01 divThis is the first book devoted to Horace’s Carmen Saeculare, a poem commissioned by Roman emperor Augustus in 17 B.C.E. for choral performance at the Ludi Saeculares, the Secular Games. The poem is the first fully preserved Latin hymn whose circumstances of presentation are known, and it is the only lyric of Horace we can be certain was first presented orally. Michael C. J. Putnam offers a close and sensitive reading of this hymn, shedding new light on the richness and virtuosity of its poetry, on the many sources Horace drew on, and on the poem’s power and significance as a public ritual. A rich and compelling work, this poem is a masterpiece, Putnam shows, and it represents a crucial link in the development of Rome’s outstanding lyric poet./DIV |
| putnam exam questions: The Green Book of Mathematical Problems Kenneth Hardy, Kenneth S. Williams, 2013-11-26 Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References. |
| putnam exam questions: Hard Math for Middle School Glenn Ellison, 2010-09-11 MIT Professor Glenn Ellison has spent more than a decade coaching math teams and developing math enrichment materials for his daughters and their classmates. His middle school Hard Math textbook and workbook contain the materials he used while coaching many successful Mathcounts teams. They are a labor of love sold at bargain prices with the hope that they will help students around the world develop a deep understanding of middle school math and enjoy every minute of it. The topics align with modern middle school curricula: fractions, decimals, percents, prime factorization, plane and spatial geometry, probability, statistics, combinatorics, algebra, modular arithmetic, etc. But Hard Math challenges students to develop a deeper understanding: it asks much harder questions than standard texts and teaches the material and problem solving strategies students need to attack them. For example, rather than asking students to write 2/5 as a decimal, it might ask students to use the fact that 99999 = 9 × 41 × 271 to find the tenth digit in the decimal expansion for 1/271. (It might ask this, but never actually does.) The personal and somewhat irreverent prose in the IMLEM Plus edition of Hard Math for Middle School speaks directly to students participating in both the Intermediate Math League of Eastern Massachusetts and Mathcounts(r). The organization of the book is also designed to serve IMLEM students. But middle school math is middle school math and the book should be great for students preparing for other math contests or just looking for general enrichment or hard problems to do. Hard Math for Middle School: Workbook, sold separately, contains over 100 worksheets. The worksheets have problems at different difficulty levels that students can use to solidify their understanding of the material in each section of the textbook. It would be crazy to buy this text and not also get a copy of the workbook unless your child is using this book in school or in an enrichment program that is already providing plenty of practice problems. Solutions to many of the problems in the workbook are currently available for free on Prof. Ellison's website. Mathcounts(r) is a registered trademark of the Mathcounts Foundation, which was not involved in the production of, and does not endorse, this book. |
| putnam exam questions: The William Lowell Putnam Mathematical Competition A. M. Gleason, R. E. Greenwood, L. M. Kelly, 2019-07-24 Back by popular demand, we are pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L. E. Bush, L. J. Mordell, and L. M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas. |
| putnam exam questions: 101 Problems in Algebra Titu Andreescu, Zuming Feng, 2001 |
| putnam exam questions: The Art of Problem Solving, Volume 1 Sandor Lehoczky, Richard Rusczyk, 2006 ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition.--Back cover |
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Check this quick and easy reference page to help you find what you are looking for on Putnam's site.
Accounts - Putnam Investments
The third-party information accessible through this site was prepared by, and is the sole responsibility of, independent providers who are not affiliated with Putnam. Putnam has not …
Institutional Investors - Putnam Investments
May 31, 2025 · Putnam Investments is a global asset manager serving institutions worldwide, offering traditional and alternative strategies for any product structure.
Contact Us - Putnam Investments
Call Putnam on our toll-free number or contact us by mail with questions about your account or our investment choices.
Muni bond funds and pricing – Tax-Exempt Income Funds | Putnam
Use our Tax-Equivalent Yield Calculator to evaluate Putnam municipal bond funds with other income fund options. The tool offers a custom comparison based on income, filing status, and …
Traditional IRA - Putnam Investments
Take advantage: Putnam Traditional IRA Offers tax-deferred earnings and tax-deductible contributions. May be used for qualified higher education expenses without penalty. Helps …
529 Plan - Putnam Investments
Since offering an advisor-sold 529 plan over a decade ago, we have helped families across America build their futures. Discover the Putnam 529 for America.
