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| caltech math phd acceptance rate: Strength in Numbers: The Rising of Academic Statistics Departments in the U. S. Alan Agresti, Xiao-Li Meng, 2012-11-02 Statistical science as organized in formal academic departments is relatively new. With a few exceptions, most Statistics and Biostatistics departments have been created within the past 60 years. This book consists of a set of memoirs, one for each department in the U.S. created by the mid-1960s. The memoirs describe key aspects of the department’s history -- its founding, its growth, key people in its development, success stories (such as major research accomplishments) and the occasional failure story, PhD graduates who have had a significant impact, its impact on statistical education, and a summary of where the department stands today and its vision for the future. Read here all about how departments such as at Berkeley, Chicago, Harvard, and Stanford started and how they got to where they are today. The book should also be of interests to scholars in the field of disciplinary history. |
| caltech math phd acceptance rate: Colleges Worth Your Money Andrew Belasco, Dave Bergman, Michael Trivette, 2024-06-01 Colleges Worth Your Money: A Guide to What America's Top Schools Can Do for You is an invaluable guide for students making the crucial decision of where to attend college when our thinking about higher education is radically changing. At a time when costs are soaring and competition for admission is higher than ever, the college-bound need to know how prospective schools will benefit them both as students and after graduation. Colleges Worth Your Moneyprovides the most up-to-date, accurate, and comprehensive information for gauging the ROI of America’s top schools, including: In-depth profiles of 200 of the top colleges and universities across the U.S.; Over 75 key statistics about each school that cover unique admissions-related data points such as gender-specific acceptance rates, early decision acceptance rates, and five-year admissions trends at each college. The solid facts on career outcomes, including the school’s connections with recruiters, the rate of employment post-graduation, where students land internships, the companies most likely to hire students from a particular school, and much more. Data and commentary on each college’s merit and need-based aid awards, average student debt, and starting salary outcomes. Top Colleges for America’s Top Majors lists highlighting schools that have the best programs in 40+ disciplines. Lists of the “Top Feeder” undergraduate colleges into medical school, law school, tech, journalism, Wall Street, engineering, and more. |
| caltech math phd acceptance rate: A Course in Mathematical Analysis Edouard Goursat, Earle Raymond Hedrick, Otto Dunkel, 2017-09-16 Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates. |
| caltech math phd acceptance rate: Statistical Regression and Classification Norman Matloff, 2017-09-19 Statistical Regression and Classification: From Linear Models to Machine Learning takes an innovative look at the traditional statistical regression course, presenting a contemporary treatment in line with today's applications and users. The text takes a modern look at regression: * A thorough treatment of classical linear and generalized linear models, supplemented with introductory material on machine learning methods. * Since classification is the focus of many contemporary applications, the book covers this topic in detail, especially the multiclass case. * In view of the voluminous nature of many modern datasets, there is a chapter on Big Data. * Has special Mathematical and Computational Complements sections at ends of chapters, and exercises are partitioned into Data, Math and Complements problems. * Instructors can tailor coverage for specific audiences such as majors in Statistics, Computer Science, or Economics. * More than 75 examples using real data. The book treats classical regression methods in an innovative, contemporary manner. Though some statistical learning methods are introduced, the primary methodology used is linear and generalized linear parametric models, covering both the Description and Prediction goals of regression methods. The author is just as interested in Description applications of regression, such as measuring the gender wage gap in Silicon Valley, as in forecasting tomorrow's demand for bike rentals. An entire chapter is devoted to measuring such effects, including discussion of Simpson's Paradox, multiple inference, and causation issues. Similarly, there is an entire chapter of parametric model fit, making use of both residual analysis and assessment via nonparametric analysis. Norman Matloff is a professor of computer science at the University of California, Davis, and was a founder of the Statistics Department at that institution. His current research focus is on recommender systems, and applications of regression methods to small area estimation and bias reduction in observational studies. He is on the editorial boards of the Journal of Statistical Computation and the R Journal. An award-winning teacher, he is the author of The Art of R Programming and Parallel Computation in Data Science: With Examples in R, C++ and CUDA. |
| caltech math phd acceptance rate: Financing a Graduate Education United States. Office of Education, Richard C. McKee, 1964 |
| caltech math phd acceptance rate: The Language of God Francis Collins, 2008-09-04 Dr Francis S. Collins, head of the Human Genome Project, is one of the world's leading scientists, working at the cutting edge of the study of DNA, the code of life. Yet he is also a man of unshakable faith in God. How does he reconcile the seemingly unreconcilable? In THE LANGUAGE OF GOD he explains his own journey from atheism to faith, and then takes the reader on a stunning tour of modern science to show that physics, chemistry and biology -- indeed, reason itself -- are not incompatible with belief. His book is essential reading for anyone who wonders about the deepest questions of all: why are we here? How did we get here? And what does life mean? |
| caltech math phd acceptance rate: Mathematics as Problem Solving Alexander Soifer, 2009-04-28 Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving. |
| caltech math phd acceptance rate: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
| caltech math phd acceptance rate: How I Became a Quant Richard R. Lindsey, Barry Schachter, 2011-01-11 Praise for How I Became a Quant Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching! --Ira Kawaller, Kawaller & Co. and the Kawaller Fund A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions. --David A. Krell, President and CEO, International Securities Exchange How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis. --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management Quants--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution. |
| caltech math phd acceptance rate: The Enlightened College Applicant Andrew Belasco, Dave Bergman, 2023-05-15 Deluged with messages that range from “It’s Ivy League or bust” to “It doesn’t matter where you go,” college applicants and their families often find themselves lost, adrift in a sea of information overload. Finally—a worthy life preserver has arrived. The Enlightened College Applicant speaks to its audience in a highly accessible, engaging, and example-filled style, giving readers the perspective and practical tools to select and earn admission at the colleges that most closely align with their academic, career, and life goals. In place of the recycled entrance statistics or anecdotal generalizations about campus life found in many guidebooks, The Enlightened College Applicant presents a no-nonsense account of how students should approach the college search and admissions process. Shifting the mindset from “How can I get into a college?” to “What can that college do for me?” authors Bergman and Belasco pull back the curtain on critical topics such as whether college prestige matters, what college-related skills are valued in the job market, which schools and degrees provide the best return on investment, how to minimize the costs of a college education, and much more. Whether you are a valedictorian or a B/C student, this easy-to-read book will improve your college savvy and enable you to maximize the benefits of your higher education. |
| caltech math phd acceptance rate: Lectures On Computation Richard P. Feynman, 1996-09-08 Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b |
| caltech math phd acceptance rate: A History of Mathematics in the United States and Canada David E. Zitarelli, 2022-10-25 This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America. |
| caltech math phd acceptance rate: Who's who in California , 1998 |
| caltech math phd acceptance rate: Multivariate Bayesian Statistics Daniel B. Rowe, 2002-11-25 Of the two primary approaches to the classic source separation problem, only one does not impose potentially unreasonable model and likelihood constraints: the Bayesian statistical approach. Bayesian methods incorporate the available information regarding the model parameters and not only allow estimation of the sources and mixing coefficients, but |
| caltech math phd acceptance rate: Low-dimensional and Symplectic Topology Michael Usher, 2011 Every eight years since 1961, the University of Georgia has hosted a major international topology conference aimed at disseminating important recent results and bringing together researchers at different stages of their careers. This volume contains the proceedings of the 2009 conference, which includes survey and research articles concerning such areas as knot theory, contact and symplectic topology, 3-manifold theory, geometric group theory, and equivariant topology. Among other highlights of the volume, a survey article by Stefan Friedl and Stefano Vidussi provides an accessible treatment of their important proof of Taubes' conjecture on symplectic structures on the product of a 3-manifold and a circle, and an intriguing short article by Dennis Sullivan opens the door to the use of modern algebraic-topological techniques in the study of finite-dimensional models of famously difficult problems in fluid dynamics. Continuing what has become a tradition, this volume contains a report on a problem session held at the conference, discussing a variety of open problems in geometric topology. |
| caltech math phd acceptance rate: Directory of Members Population Association of America, 1974 |
| caltech math phd acceptance rate: Recountings Joel Segel, 2009-01-03 This book traces the history of the MIT Department of Mathematics-one of the most important mathematics departments in the world-through candid, in-depth, lively conversations with a select and diverse group of its senior members. The process reveals much about the motivation, path, and impact of research mathematicians in a society that owes so mu |
| caltech math phd acceptance rate: Math! Serge Lang, 2013-03-14 |
| caltech math phd acceptance rate: Adventures of a Computational Explorer Stephen Wolfram, 2019-10-16 Through his pioneering work in science, technology and language design, Stephen Wolfram has developed his own signature way of thinking about an impressive range of subjects. In this lively book of essays, Wolfram takes the reader along on some of his most surprising and engaging intellectual adventures. From science consulting for a Hollywood movie, solving problems of AI ethics, hunting for the source of an unusual polyhedron, communicating with extraterrestrials, to finding the fundamental theory of physics and exploring the digits of pi, Adventures of a Computational Explorer captures the infectious energy and curiosity of one of the great pioneers of the computational world. |
| caltech math phd acceptance rate: Mathematics Unlimited - 2001 and Beyond Björn Engquist, Wilfried Schmid, 2017-04-05 This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a must-read for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only. |
| caltech math phd acceptance rate: Radioactivity Michael F. L'Annunziata, 2016-05-13 A recipient of the PROSE 2017 Honorable Mention in Chemistry & Physics, Radioactivity: Introduction and History, From the Quantum to Quarks, Second Edition provides a greatly expanded overview of radioactivity from natural and artificial sources on earth, radiation of cosmic origins, and an introduction to the atom and its nucleus. The book also includes historical accounts of the lives, works, and major achievements of many famous pioneers and Nobel Laureates from 1895 to the present. These leaders in the field have contributed to our knowledge of the science of the atom, its nucleus, nuclear decay, and subatomic particles that are part of our current knowledge of the structure of matter, including the role of quarks, leptons, and the bosons (force carriers). Users will find a completely revised and greatly expanded text that includes all new material that further describes the significant historical events on the topic dating from the 1950s to the present. - Provides a detailed account of nuclear radiation – its origin and properties, the atom, its nucleus, and subatomic particles including quarks, leptons, and force carriers (bosons) - Includes fascinating biographies of the pioneers in the field, including captivating anecdotes and insights - Presents meticulous accounts of experiments and calculations used by pioneers to confirm their findings |
| caltech math phd acceptance rate: Piecewise-smooth Dynamical Systems Mario Bernardo, Chris Budd, Alan Richard Champneys, Piotr Kowalczyk, 2008-01-01 This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra. |
| caltech math phd acceptance rate: Who's who in Technology , 1986 |
| caltech math phd acceptance rate: Your One Stop Guide to College Admission in the USA Ragina Singh, PhD, 2016-11-30 Top tier colleges, concentrated in U.S.A., are continuously looking for students with a strong academic record, good leadership skills, and the potential to innovate. In this comprehensive seven step guide, learn how to create a compelling resume that stands out. |
| caltech math phd acceptance rate: The SAGE Encyclopedia of Filipina/x/o American Studies Kevin Leo Yabut Nadal, Allyson Tintiangco-Cubales, E.J.R. David, 2022-10-18 Filipino Americans are one of the three largest Asian American groups in the United States and the second largest immigrant population in the country. Yet within the field of Asian American Studies, Filipino American history and culture have received comparatively less attention than have other ethnic groups. Over the past twenty years, however, Filipino American scholars across various disciplines have published numerous books and research articles, as a way of addressing their unique concerns and experiences as an ethnic group. The SAGE Encyclopedia of Filipina/x/o American Studies, the first on the topic of Filipino American Studies, offers a comprehensive survey of an emerging field, focusing on the Filipino diaspora in the United States as well as highlighting issues facing immigrant groups in general. It covers a broad range of topics and disciplines including activism and education, arts and humanities, health, history and historical figures, immigration, psychology, regional trends, and sociology and social issues. |
| caltech math phd acceptance rate: GMAT Official Guide Verbal Review 2022 GMAC (Graduate Management Admission Council), 2021-06-16 Add over 340 verbal practice questions to your prep. Designed by the makers of the GMAT™ exam. Your official source of real GMAT questions from past exams. Set yourself up for success with extra practice on the verbal section of the GMAT exam. Study with over 340 practice questions not included in GMAT™ Official Guide 2022: Book & Online Question Bank! Review answer explanations to help improve your performance. GMAT practice questions are organized by difficulty level: easy, medium and hard. Start at the beginning and work your way up to the hard questions as you build upon your knowledge. All practice questions are from past GMAT exams. The GMAT™ Official Guide Verbal Review 2022: Book + Online Question Bank provides 3 ways to study: Book: Know what to expect on the GMAT exam Learn the exam structure with an introductory review chapter followed by 25 practice questions. Review common formulas and concepts using quick reference sheets. Master reading comprehension and critical reasoning with over 340 practice questions from past GMAT exams, organized by difficulty level. GMAT Online Prep Tools: Focus your studying – Bonus: included with purchase! Practice online with the same questions from the book. Create custom practice sets by difficulty level and by fundamental skill. Track your progress using performance metrics. Prepare for exam day by timing your practice in exam mode. Test your knowledge of key concepts with flashcards. Prepare with the Online Question Bank, which includes online-exclusive questions filterable by difficulty level, question type, fundamental skills, and more. Study anytime, anywhere with the Mobile App: review and reattempt practice sets to improve performance in study or exam mode. Mobile App: Your GMAT prep on the go Study offline after downloading the question sets. Sync between devices. Start on your phone, finish on your computer. Add GMAT™ Official Guide Verbal Review 2022: Book + Online Question Bank to your GMAT prep; the official source of practice questions from past GMAT exams. This product includes a print book with a unique access code to the Online Question Bank and Mobile App. |
| caltech math phd acceptance rate: The Beauty of Doing Mathematics Serge Lang, 2012-12-06 If someone told you that mathematics is quite beautiful, you might be surprised. But you should know that some people do mathematics all their lives, and create mathematics, just as a composer creates music. Usually, every time a mathematician solves a problem, this gives rise to many oth ers, new and just as beautiful as the one which was solved. Of course, often these problems are quite difficult, and as in other disciplines can be understood only by those who have studied the subject with some depth, and know the subject well. In 1981, Jean Brette, who is responsible for the Mathematics Section of the Palais de la Decouverte (Science Museum) in Paris, invited me to give a conference at the Palais. I had never given such a conference before, to a non-mathematical public. Here was a challenge: could I communicate to such a Saturday afternoon audience what it means to do mathematics, and why one does mathematics? By mathematics I mean pure mathematics. This doesn't mean that pure math is better than other types of math, but I and a number of others do pure mathematics, and it's about them that I am now concerned. Math has a bad reputation, stemming from the most elementary levels. The word is in fact used in many different contexts. First, I had to explain briefly these possible contexts, and the one with which I wanted to deal. |
| caltech math phd acceptance rate: Math Doesn't Suck Danica McKellar, 2007-08-02 This title has been removed from sale by Penguin Group, USA. |
| caltech math phd acceptance rate: Coordinate Measuring Machines and Systems Robert J. Hocken, Paulo H. Pereira, 2016-04-19 Since John Bosch edited and published the first version of this book in 1995, the world of manufacturing and coordinate measuring machines (CMMs) and coordinate measuring systems (CMSs) has changed considerably. However, the basic physics of the machines has not changed in essence but have become more deeply understood. Completely revised and updat |
| caltech math phd acceptance rate: In Pursuit of the Perfect Portfolio Andrew W. Lo, Stephen R. Foerster, 2023-05-16 How the greatest thinkers in finance changed the field and how their wisdom can help investors today Is there an ideal portfolio of investment assets, one that perfectly balances risk and reward? In Pursuit of the Perfect Portfolio examines this question by profiling and interviewing ten of the most prominent figures in the finance world—Jack Bogle, Charley Ellis, Gene Fama, Marty Leibowitz, Harry Markowitz, Bob Merton, Myron Scholes, Bill Sharpe, Bob Shiller, and Jeremy Siegel. We learn about the personal and intellectual journeys of these luminaries—which include six Nobel Laureates and a trailblazer in mutual funds—and their most innovative contributions. In the process, we come to understand how the science of modern investing came to be. Each of these finance greats discusses their idea of a perfect portfolio, offering invaluable insights to today’s investors. Inspiring such monikers as the Bond Guru, Wall Street’s Wisest Man, and the Wizard of Wharton, these pioneers of investment management provide candid perspectives, both expected and surprising, on a vast array of investment topics—effective diversification, passive versus active investment, security selection and market timing, foreign versus domestic investments, derivative securities, nontraditional assets, irrational investing, and so much more. While the perfect portfolio is ultimately a moving target based on individual age and stage in life, market conditions, and short- and long-term goals, the fundamental principles for success remain constant. Aimed at novice and professional investors alike, In Pursuit of the Perfect Portfolio is a compendium of financial wisdom that no market enthusiast will want to be without. |
| caltech math phd acceptance rate: Who's who in Computers and Data Processing , 1971 |
| caltech math phd acceptance rate: Numbers Rule George Szpiro, 2010-03-15 A lively history of the peculiar math of voting Since the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians. Numbers Rule traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our democratic institutions. In a sweeping narrative that combines history, biography, and mathematics, George Szpiro details the fascinating lives and big ideas of great minds such as Plato, Pliny the Younger, Ramon Llull, Pierre Simon Laplace, Thomas Jefferson, Alexander Hamilton, John von Neumann, and Kenneth Arrow, among many others. Each chapter in this riveting book tells the story of one or more of these visionaries and the problem they sought to overcome, like the Marquis de Condorcet, the eighteenth-century French nobleman who demonstrated that a majority vote in an election might not necessarily result in a clear winner. Szpiro takes readers from ancient Greece and Rome to medieval Europe, from the founding of the American republic and the French Revolution to today's high-stakes elective politics. He explains how mathematical paradoxes and enigmas can crop up in virtually any voting arena, from electing a class president, a pope, or prime minister to the apportionment of seats in Congress. Numbers Rule describes the trials and triumphs of the thinkers down through the ages who have dared the odds in pursuit of a just and equitable democracy. |
| caltech math phd acceptance rate: 101 Careers in Mathematics: Fourth Edition Deanna Haunsperger, Robert Thompson, 2019-09-24 What can you do with a degree in math? This book addresses this question with 125 career profiles written by people with degrees and backgrounds in mathematics. With job titles ranging from sports analyst to science writer to inventory specialist to CEO, the volume provides ample evidence that one really can do nearly anything with a degree in mathematics. These professionals share how their mathematical education shaped their career choices and how mathematics, or the skills acquired in a mathematics education, is used in their daily work. The degrees earned by the authors profiled here are a good mix of bachelors, masters, and PhDs. With 114 completely new profiles since the third edition, the careers featured within accurately reflect current trends in the job market. College mathematics faculty, high school teachers, and career counselors will all find this a useful resource. Career centers, mathematics departments, and student lounges should have a copy available for student browsing. In addition to the career profiles, the volume contains essays from career counseling professionals on the topics of job-searching, interviewing, and applying to graduate school. |
| caltech math phd acceptance rate: Stealth Peter J. Westwick, 2020 The story behind the technology that revolutionized both aeronautics, and the course of history On a moonless night in January 1991, a dozen airplanes appeared in the skies over Baghdad. Or, rather, didn't appear. They arrived in the dark, their black outlines cloaking them from sight. More importantly, their odd, angular shapes, which made them look like flying origami, rendered them undetectable to Iraq's formidable air defenses. Stealth technology, developed during the decades before Desert Storm, had arrived. To American planners and strategists at the outset of the Cold War, this seemingly ultimate way to gain ascendance over the USSR was only a question. What if the United States could defend its airspace while at the same time send a plane through Soviet skies undetected? A craft with such capacity would have to be essentially invisible to radar - an apparently miraculous feat of physics and engineering. In Stealth, Peter Westwick unveils the process by which the impossible was achieved. At heart, Stealth is a tale of two aerospace companies, Lockheed and Northrop, and their fierce competition - with each other and with themselves - to obtain what was estimated one of the largest procurement contracts in history. Westwick's book fully explores the individual and collective ingenuity and determination required to make these planes and in the process provides a fresh view of the period leading up to the end of the Soviet Union. Taking into account the role of technology, as well as the art and science of physics and engineering, Westwick offers an engaging narrative, one that immerses readers in the race to produce a weapon that some thought might save the world, and which certainly changed it. |
| caltech math phd acceptance rate: The Mathematics of Surfaces IX Roberto Cipolla, 2000 This book contains the Proceedings of the Ninth Mathematics of Surfaces Conference organised by the Institute of Mathematics and its Applications, and held in Cambridge, UK, on 4th - 6th September 2000. The papers describe the mathematical construction, representation, approximation, recognition, and manipulation of surfaces, with an emphasis on computational methods. Highlights include invited papers from M. Floater (SNTEF, Norway), O. Faugeras (INRIA, France), P. Giblin (Liverpool University, UK), M.-S. Kim (Seoul National University, Korea), J. Koenderink (University of Utrecht, Netherlands), N. Patrikalakis (MIT, USA), H. Pottmann (Technical University of Vienna, Austria) and R. Schaback (University of Göttingen, Germany). |
| caltech math phd acceptance rate: World Directory of Crystallographers Yves Epelboin, 2013-11-11 The 9th edition of the World Directory of Crystallographers and of Other Scientists Employing Crystallographic Methods, which contains 7907 entries embracing 72 countries, differs considerably from the 8th edition, published in 1990. The content has been updated, and the methods used to acquire the information presented and to produce this new edition of the Directory have involved the latest advances in technology. The Directory is now also available as a regularly updated electronic database, accessible via e-mail, Telnet, Gopher, World-Wide Web, and Mosaic. Full details are given in an Appendix to the printed edition. |
| caltech math phd acceptance rate: Graduate Programs in the Physical Sciences, Mathematics, Agricultural Sciences, the Environment, and Natural Resources 2009 Peterson's, 2007-11 The six volumes of Peterson's Annual Guides to Graduate Study, the only annually updated reference work of its kind, provide wide-ranging information on the graduate and professional programs offered by accredited colleges and universities in the United States and U.S. territories and those in Canada, Mexico, Europe, and Africa that are accredited by U.S. accrediting bodies. Books 2 through 6 are divided into sections that contain one or more directories devoted to individual programs in a particular field. Book 4 contains more than 3,800 programs of study in 56 disciplines of the physical sciences, mathematics, agricultural sciences, the environment, and natural resources. |
| caltech math phd acceptance rate: Not Even Wrong Peter Woit, 2007-03-09 At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as not even wrong, meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring theory is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story. |
| caltech math phd acceptance rate: Beyond Everywhere Greg Ennis, 2023-07-20 Eighteen billion Wi-Fi devices are in use around the world, with four billion more added every year. Connecting everyone to everything, it is central to our lives today. How did this happen? Beyond Everywhere is the surprising story in its entirety: the techno/political conflicts at its birth, the battles against competing technologies as it was being nurtured, and the international diplomatic intrigue as it spread across the planet. This vivid narrative about the people who gave Wi-Fi to the world is told with humor, insight, and charm by one of Wi-Fi’s key developers. “An accessible account of how Wi-Fi tech became a crucial part of our work, society, and lives.” —Kirkus Reviews “Whether you are a fan of technology or simply a fan of great storytelling, you will be captivated by Beyond Everywhere, the heretofore untold story of how the fundamental Wi-Fi connectivity we all rely on came to be. Because of his unique and longstanding position at the very center of the Wi-Fi world, there is no one better than Greg Ennis to tell this dramatic tale. Now synonymous with the internet itself—and with billions of users—the Wi-Fi story has finally been told.” —Edgar Figueroa, President and CEO, Wi-Fi Alliance |
| caltech math phd acceptance rate: Convex Cones Rolf Schneider, 2022-09-21 This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide range of topics, including polytope theory, stochastic geometry, and Brunn–Minkowski theory. Giving an introduction to convex cones, it describes their most important geometric functionals, such as conic intrinsic volumes and Grassmann angles, and develops general versions of the relevant formulas, namely the Steiner formula and kinematic formula. In recent years questions related to convex cones have arisen in applied mathematics, involving, for example, properties of random cones and their non-trivial intersections. The prerequisites for this work, such as integral geometric formulas and results on conic intrinsic volumes, were previously scattered throughout the literature, but no coherent presentation was available. The present book closes this gap. It includes several pearls from the theory of convex cones, which should be better known. |
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