Download or read book An Imaginary Tale written by Paul Nahin and published by Princeton University Press. This book was released on 2010-02-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Download or read book The Square Root of Negative One written by DAS MANN Jones and published by Xlibris Corporation. This book was released on 2013-08-19 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writer of this book is an American citizen, was in the military overseas, and was imprisoned in a foreign system. A new language had to be learned all the way around; the writer had to learn more than one language of the host. There were conversations with various liberation groups from all over Europe, including England, the isles, and even Spain, just to name a few. The Baader-Meinhof Gang, the Red Army Faction, the Second June MovementIran had chased these liberators to Germany, and the community was full of political prisoners, and the police state was very active. Even people from the African continent escaped NATO-supplied reactionaries who were equipped with Western weaponry, especially from Angola and South Africa, to name a few. So much of the conversations revolved around capitalism, communism, socialism, different dictatorships, and apartheid and religious zealots who hated everyone but themselves, but really, if you hate anyone, you hate yourself. So finding the square root of negative one is like finding the solution to all these problems that many people have. In an ordinary way, there is no solution, and all answers given seemed to be false. Yet because of I, there is truth to be told. So this math problem translates into social relations in all countries and in many prisons.
Download or read book Intermediate Algebra 2e written by Lynn Marecek and published by . This book was released on 2020-05-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Square Root of Negative Forty Two written by Adam Douglas and published by Lulu.com. This book was released on 2011-02-19 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Professor Adam Douglas finally makes it back to the cusp of creation, he is immediately haunted by one thing: how to take his beloved Miss Eve Milgrew back with him. The problem: the parabolic design of his time machine can only accommodate one traveler at a time. When the two love birds attempt the unthinkable and head back together as one, the unspeakable happens. Miss Milgrew falls off. As best he can tell, somewhere between the Battle of the Alamo and the beginning of time. The rest, as they say, is history; or, in this case, un-history, as Professor Douglas struggles against all odds to find Miss Milgrew and bring her back safely to the here and now.Along the way, he is forced to confront everything he has ever held sacred. Even the number 42. Thanks to his juxtaposed namesake, Douglas Adams, and his epic work, The "Hitchhiker's Guide to the Galaxy," there was a time not long ago when the ultimate answer, 42, went unchallenged. Not any more!
Download or read book Statistical Regression and Classification written by Norman Matloff and published by CRC Press. This book was released on 2017-09-19 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Story Of Numbers written by Asok Kumar Mallik and published by #N/A. This book was released on 2017-07-27 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: '… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.
Download or read book System Dynamics written by Karl A. Seeler and published by Springer. This book was released on 2014-08-26 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook takes the student from the initial steps in modeling a dynamic system through development of the mathematical models needed for feedback control. The generously-illustrated, student-friendly text focuses on fundamental theoretical development rather than the application of commercial software. Practical details of machine design are included to motivate the non-mathematically inclined student.
Download or read book Prealgebra 2e written by Lynn Marecek and published by . This book was released on 2020-03-11 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.
Download or read book Complex Analysis written by N.B. Singh and published by N.B. Singh. This book was released on with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis is an introductory textbook designed for absolute beginners, offering a clear and straightforward exploration of complex numbers and functions. The book presents fundamental concepts in a step-by-step manner, making complex analysis accessible to those with little or no prior mathematical knowledge. Through practical examples and intuitive explanations, readers will discover the beauty of complex functions, the significance of Cauchy's integral formula, and the application of power series. Ideal for students and curious learners alike, this book serves as a solid foundation for further studies in mathematics.
Download or read book Einstein and Human Consciousness written by Brad Buettner and published by iUniverse. This book was released on 2008-12-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Which is more important: the practical or the sublime? Are you a Doer or a Dreamer? Brad Buettner has over twenty-four years of experience utilizing his physics degree in a wide array of engineering and management assignments. With this background he examines early twentieth-century physics and human relationships observed during his professional tenure to illustrate how Einstein’s theory of relativity pertains to our perception of time and how it explains divisions in our outlook. By applying the theory of relativity to human consciousness, Buettner discovers the motivation for personal inclination toward either the practical or the abstract. Buettner defines total reality as containing more than the reality our senses perceive. When discussing alternate forms of reality, however, he insists on measurable and observable conclusions, eliminating references to mysticism, magic, or mystery. He outlines an engaging search for the unlikely possibility of interaction with the reality that existed before the Big Bang. Einstein and Human Consciousness: Eternity is an Instant provides stunning revelations concerning human reality. Does your world extend beyond that perceived by the physical senses? If so, why? Buettner offers the answers to these questions by explaining an aspect of reality that was previously elusive.
Download or read book GRE Prep by Magoosh written by Magoosh and published by Rtc Publishing. This book was released on 2016-12-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magoosh gives students everything they need to make studying a breeze. We've branched out from our online GRE prep program and free apps to bring you this GRE prep book. We know sometimes you don't have easy access to the Internet--or maybe you just like scribbling your notes in the margins of a page! Whatever your reason for picking up this book, we're thrilled to take this ride together. In these pages you'll find: --Tons of tips, FAQs, and GRE strategies to get you ready for the big test. --More than 130 verbal and quantitative practice questions with thorough explanations. --Stats for each practice question, including its difficulty rating and the percent of students who typically answer it correctly. We want you to know exactly how tough GRE questions tend to be so you'll know what to expect on test day. --A full-length practice test with an answer key and detailed explanations. --Multiple practice prompts for the analytical writing assessment section, with tips on how to grade each of your essays. If you're not already familiar with Magoosh online, here's what you need to know: --Our materials are top-notch--we've designed each of our practice questions based on careful analysis of millions of students' answers. --We really want to see you do your best. That's why we offer a score improvement guarantee to students who use the online premium Magoosh program. --20% of our students earn a top 10% score on the GRE. --Magoosh students score on average 12 points higher on the test than all other GRE takers. --We've helped more than 1.5 million students prepare for standardized tests online and with our mobile apps. So crack open this book, join us online at magoosh.com, and let's get you ready to rock the GRE!
Download or read book Algebraic Curves and Riemann Surfaces written by Rick Miranda and published by American Mathematical Soc.. This book was released on 1995 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
Download or read book Penina Levine Is a Potato Pancake written by Rebecca O'Connell and published by Macmillan. This book was released on 2008-09-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: When she finds her best friend is going to Aruba for vacation and her favorite teacher is taking a long leave of absence, sixth-grader Penina is not looking forward to Hanukkah with her little sister who is always stealing the spotlight.
Download or read book The Square Root of Murder written by Ada Madison and published by Penguin. This book was released on 2011-07-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr. Sophie Knowles teaches math at Henley College in Massachusetts, but when a colleague turns up dead, it's up to her to find the killer before someone else gets subtracted.
Download or read book Algebra written by Anita Wah and published by Henri Picciotto. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fermat s Enigma written by Simon Singh and published by Anchor. This book was released on 2017-03-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: xn + yn = zn, where n represents 3, 4, 5, ...no solution "I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain." With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.
Download or read book Delphi in a Nutshell written by Ray Lischner and published by "O'Reilly Media, Inc.". This book was released on 2000-03-16 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a new name and a new focus on CORBA, database drivers, and Microsoft Back Office applications, Inprise/Borland Delphi is enjoying a resurgence, with a growing user base of programmers who use Delphi for rapid development of enterprise computing applications. Not to rest on success, the latest version of Delphi, Version 5, includes further expansion and refinement of the 3-tier application framework introduced in Delphi 4 and has resulted in a prize-winning product.Delphi in a Nutshell is the first concise reference to Borland/Inprise Delphi available. It succinctly collects all the information you need in one easy-to-use, complete, and accurate volume that goes beyond the product documentation itself.Delphi in a Nutshell starts with the Delphi object model and how to use RTTI (Run Time Type Information) for efficient programming. The rest of the book is the most complete Delphi Pascal language reference available in print, detailing every language element with complete syntax, examples, and methods for use. The book concludes with a look at the compiler, discussing compiler directives in depth.
