Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume II presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues. Imre Lakatos had an influence out of all proportion to the length of his philosophical career. This collection exhibits and confirms the originality, range and the essential unity of his work. It demonstrates too the force and spirit he brought to every issue with which he engaged, from his most abstract mathematical work to his passionate 'Letter to the director of the LSE'. Lakatos' ideas are now the focus of widespread and increasing interest, and these volumes should make possible for the first time their study as a whole and their proper assessment.

    It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    But they've often been hidden in plain sight, their inventions and contributions touching our lives in ways we don't even realize.Author Claire L. Evans finally gives these unsung female heroes their due with her social history of the Broad Band, the women who made the internet what it is today. Learn from Ada Lovelace, the daughter of Lord Byron, who wove numbers into the first program for a mechanical computer in 1842. Seek inspiration from Grace Hopper, the tenacious mathematician who democratized computing by leading the charge for machine-independent programming languages after World War II. Meet Elizabeth "Jake" Feinler, the one-woman Google who kept the earliest version of the Internet online, and Stacy Horn, who ran one of the first-ever social networks on a shoestring out of her New York City apartment in the 1980s. Evans shows us how these women built and colored the technologies we can't imagine life without.Join the ranks of the pioneers who defied social convention and the longest odds to become database poets, information-wranglers, hypertext dreamers, and glass ceiling-shattering dot com-era entrepreneurs.

    Over the years sports debates have become muddled by many myths that do not match the numbers generated by those playing the games. In The Wages of Wins, the authors use layman's language and easy to follow examples based on their own academic research to debunk many of the most commonly held beliefs about sports.In this updated version of their book, these authors explain why Allen Iverson leaving Philadelphia made the 76ers a better team, why the Yankees find it so hard to repeat their success from the late 1990s, and why even great quarterbacks like Brett Favre are consistently inconsistent. The book names names, and makes it abundantly clear that much of the decision making of coaches and general managers does not hold up to an analysis of the numbers. Whether you are a fantasy league fanatic or a casual weekend fan, much of what you believe about sports will change after reading this book.

    “They are both brilliantly original and outsiders,” the narrator tells us. “They are both besotted with mathematics. But for all their devotion, mathematics is indifferent, unaltered by any of their dramas . . . Against indifference, I want to tell their stories.” Which she does in a haunting, incantatory voice, the two lives unfolding in parallel narratives that overlap in the magnitude of each man’s achievement and demise: Gödel, delusional and paranoid, would starve himself to death; Turing, arrested for homosexual activities, would be driven to suicide. And they meet as well in the narrator’s mind, where facts are interwoven with her desire and determination to find meaning in the maze of their stories: two men devoted to truth of the highest abstract nature, yet unable to grasp the mundane truths of their own lives.A unique amalgam of luminous imagination and richly evoked historic character and event—A Madman Dreams of Turing Machines is a story about the pursuit of truth and its effect on the lives of two men. A story of genius and madness, incredible yet true.

    Now that you're making the shift to online teaching, it's time to answer your biggest questions about remote, digitally based instruction:How do I build and nurture relationships with students and their at-home adults from afar? How do I adapt my best teaching to an online setting? How do I keep a focus on students and their needs when they aren't in front of me? Jennifer Serravallo's Connecting with Students Online gives you concise, doable answers based on her own experiences and those of the teachers, administrators, and coaches she has communicated with during the pandemic. Focusing on the vital importance of the teacher-student connection, Jen guides you to:effectively prioritize what matters most during remote, online instruction schedule your day and your students' to maximize teaching and learning (and avoid burnout) streamline curricular units and roll them out digitally record highly engaging short lessons that students will enjoy and learn from confer, working with small groups, and drive learning through independent practice partner with the adults in a student's home to support your work with their child. Featuring simplified, commonsense suggestions, 55 step-by-step teaching strategies, and video examples of Jen conferring and working with small groups, Connecting with Students Online helps new teachers, teachers new to technology, or anyone who wants to better understand the essence of effective online instruction. Along the way Jen addresses crucial topics including assessment and progress monitoring, student engagement and accountability, using anchor charts and visuals, getting books into students' hands, teaching subject-area content, and avoiding teacher burnout.During this pandemic crisis turn to one of education's most trusted teaching voices to help you restart or maintain students' progress. Jennifer Serravallo's Connecting with Students Online is of-the-moment, grounded in important research, informed by experience, and designed to get you teaching well-and confidently-as quickly as possible. Jen will be donating a portion of the proceeds from Connecting with Students Online to organizations that help children directly impacted by COVID-19.

    Using science, math, innovation, and improvisation, Bletchley Park code breakers worked furiously to invent a machine to decipher what turned out to be the secrets of Nazi high command. It was called Colossus. What these code breakers didn't realize was that they had fashioned the world's first true computer. When the war ended, this incredible invention was dismantled and hidden away for almost 50 years. Paul Gannon has pieced together the tremendous story of what is now recognized as the greatest secret of Bletchley Park.

    Written with student centred, pedagogically driven approach, the text provides a self-contained introduction to the theory of signals and systems. This book looks at the concepts of systems, and also examines signals and the way that signals interact with physical systems. It covers topics ranging from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, sampling theorems and techniques, and transform analysis of LTI systems. All the solved and unsolved problems in this book are designed to illustrate the topics in a clear way.

    From Mary, Queen of Scots, trapped by her own code, to the Navajo Code Talkers who helped the Allies win World War II, to the incredible (and incredibly simple) logisitical breakthrough that made Internet commerce secure, The Code Book tells the story of the most powerful intellectual weapon ever known: secrecy.Throughout the text are clear technical and mathematical explanations, and portraits of the remarkable personalities who wrote and broke the world’s most difficult codes. Accessible, compelling, and remarkably far-reaching, this book will forever alter your view of history and what drives it. It will also make you wonder how private that e-mail you just sent really is.

    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

    Jacobson provides a comprehensive overview of this spectacular industry, allowing everyone on Earth to understand the integral role space plays in our lives, how it will continue to transform the world, and how you could participate.In the vein of Mary Roach, Jacobson makes a complex topic easily understandable—and accessible—for every reader.Space as an industry offers a triple bottom line: Return on Investment, Innovation, and Inspiration.INVESTMENTImagine if you had the opportunity to invest in Apple when it was new and undiscovered—would you do it?Space is a culmination of many disciplines, and it works in tandem with various industries. The sector’s growth depends on merging different fields with cutting-edge technologies, fantastical ideas with logical applications.Investors, including John Doerr, Khosla Ventures, Sequoia, RRE, Bessemer Venture Partners, First Round, Peter Thiel’s Founders Fund, and Andreesen Horowitz, took notice and are backing companies in this growing sector.INNOVATIONSpace is the sector with the most unlimited potential for progress and collaboration. When space advances, other industries benefit. When other industries advance, space benefits as well—innovations and progress multiply.From Hollywood to navigation, communications devices to streaming services, medical discoveries to robotics, agriculture to energy, all of these industries affect space and are affected by space—much like bees pollinating flowers.Jacobson proposes that space startups can borrow tactics and strategies developed by other entrepreneurs and thought leaders—such as Peter Thiel, Eric Ries, and Ben Horowitz—to improve space startups' probability for success.INSPIRATIONWhat do Jules Verne, Star Trek, Isaac Asimov, Arthur C. Clarke, Stanley Kubrick, Jerry Pournelle, Andy Weir, and David Bowie have in common?For centuries, artists and creators have helped inspire real space efforts. They merged space with arts and entertainment to construct visions and stories that helped us articulate, amplify, and imagine what is possible—ultimately influencing and shaping reality, from Moon missions to mobile phones.What will we accomplish over the next decade? Is there a way to achieve great personal success and benefit others—maybe even all of humanity?

    This approach will captivate students and encourage them to think critically about the nature of public administration today. Introducing Public Administration provides students with a solid, conceptual foundation in public administration, and contains the latest information on important trends in the discipline. To further engage students and deepen interest in its narrative, the text uses unique chapter-opening vignettes called Keynotes, chapter ending case studies, and a series of boxes throughout that offer real-life excerpts and alternative theories.

    The First seven chapters deal with structure related aspects such as lattice and crystal structures, bonding, packing and diffusion of atoms followed by imperfections and lattice vibrations. Chapter eight deals mainly with experimental methods of determining structures of given materials. While the next nine chapters cover various physical properties of crystalline solids, the last chapter deals with the anisotropic properties of materials. This chapter has been added for benefit of readers to understand the crystal properties (anisotropic) in terms of some simple mathematical formulations such as tensor and matrix. New to the Second Edition: Chapter on: *Anisotropic Properties of Materials

    It’s time we stand face-to-digital-face with the true powers and limitations of the algorithms that already automate important decisions in healthcare, transportation, crime, and commerce. Hello World is indispensable preparation for the moral quandaries of a world run by code, and with the unfailingly entertaining Hannah Fry as our guide, we’ll be discussing these issues long after the last page is turned.