At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out the two appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to.

    Included in this edition is a new chapter on the revolutionary topic of quantum computing.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Czerski provides the tools to alter the way we see everything around us by linking ordinary objects and occurrences, like popcorn popping, coffee stains, and fridge magnets, to big ideas like climate change, the energy crisis, or innovative medical testing. She provides answers to vexing questions: How do ducks keep their feet warm when walking on ice? Why does it take so long for ketchup to come out of a bottle? Why does milk, when added to tea, look like billowing storm clouds? In an engaging voice at once warm and witty, Czerski shares her stunning breadth of knowledge to lift the veil of familiarity from the ordinary.

     One of the most famous women of the twentieth century, Marie Curie was a trailblazer in the truest sense. Known for her discovery of two radioactive elements, radium and polonium, Marie Curie was the first woman to win a Nobel Prize. She remains the only woman to win two Nobel Prizes in different sciences. Inside you will read about... ✓ Early Life and Loss ✓ The Flying University ✓ Nobel Prizes ✓ Scandals ✓ Curie’s First World War Efforts ✓ The Discovery that Killed Her And much more! Marie Curie lived by her own rules in a society marred by misogyny and xenophobia. A scientist, but also a loving wife and mother, she defied expectations as a matter of course. Curie also fought for her country during the First World War the best way she knew how—with science. There is much more to Marie Curie’s story than the discovery of the radioactive elements that eventually killed her.

    Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms. This new edition maintains the simple structure of the first and puts new emphasis on pedagogical considerations. Thermostatistics is incorporated into the text without eclipsing macroscopic thermodynamics, and is integrated into the conceptual framework of physical theory.

    

    From the minds of the world's leading physicists there flowed a river of ideas that would transport mankind to the pinnacle of wonderment and to the very depths of human despair. This was a century that began with the certainties of absolute knowledge and ended with the knowledge of absolute uncertainty. It was a century in which physicists developed weapons with the capacity to destroy our reality, whilst at the same time denying us the possibility that we can ever properly comprehend it.Almost everything we think we know about the nature of our world comes from one theory of physics. This theory was discovered and refined in the first thirty years of the twentieth century and went on to become quite simply the most successful theory of physics ever devised. Its concepts underpin much of the twenty-first century technology that we have learned to take for granted. But its success has come at a price, for it has at the same time completely undermined our ability to make sense of the world at the level of its most fundamental constituents.Rejecting the fundamental elements of uncertainty and chance implied by quantum theory, Albert Einstein once famously declared that 'God does not play dice'. Niels Bohr claimed that anybody who is not shocked by the theory has not understood it. The charismatic American physicist Richard Feynman went further: he claimed that nobody understands it.This is quantum theory, and this book tells its story.Jim Baggott presents a celebration of this wonderful yet wholly disconcerting theory, with a history told in forty episodes -- significant moments of truth or turning points in the theory's development. From its birth in the porcelain furnaces used to study black body radiation in 1900, to the promise of stimulating new quantum phenomena to be revealed by CERN's Large Hadron Collider over a hundred years later, this is the extraordinary story of the quantum world.Oxford Landmark Science books are 'must-read' classics of modern science writing which have crystallized big ideas, and shaped the way we think.

    Download issues at no extra cost from Archived Items. The Economist is the premier source for the analysis of world business and current affairs, providing authoritative insight and opinion on international news, world politics, business, finance, science and technology, as well as overviews of cultural trends and regular Special reports on industries and countries. Established in 1843 to campaign against the protectionist corn laws, The Economist remains, in the second half of its second century, true to the liberal principles of its founder. James Wilson, a hat maker from the small Scottish town of Hawick, believed in free trade, internationalism and minimum interference by government, especially in the affairs of the market. The Economist also takes a fiercely independent stance on social issues, from gay marriage to the legalisation of drugs, but its main service to its readers is as a global newspaper: To uncover new ideas from all around the world. The Kindle Edition of The Economist contains all of the articles and graphics found in the print edition, but will not include all photos. For your convenience, issues are auto-delivered wirelessly to your Kindle each Friday at the same time the print edition hits the newsstand.

    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.

    This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

    The Big Bang. DNA. Natural selection. All are ideas that have revolutionized science—and all were dismissed out of hand when they first ap­peared. The surprises haven’t stopped in recent years, and in At the Edge of Uncertainty, bestselling author Michael Brooks investigates the new wave of radical insights that are shaping the future of scientific discovery.   Brooks takes us to the extreme frontiers of what we understand about the world. He journeys from the observations that might rewrite our story of how the cosmos came to be, through the novel biology behind our will to live, and on to the physi­ological root of consciousness. Along the way, he examines how it’s time to redress the gender im­balance in clinical trials, explores how merging hu­mans with other species might provide a solution to the shortage of organ donors, and finds out whether the universe really is like a computer or if the flow of time is a mere illusion.

    Beginning with an obscure discovery in 1896, radioactivity led researchers on a quest for understanding that ultimately confronted the intersection of knowledge and mystery. Mysterious from the start, radioactivity attracted researchers who struggled to understand it. What caused certain atoms to give off invisible, penetrating rays? Where did the energy come from? These questions became increasingly pressing when researchers realized the process seemed to continue indefinitely, producing huge quantities of energy. Investigators found cases where radioactivity did change, forcing them to the startling conclusion that radioactive bodies were transmuting into other substances. Chemical elements were not immutable after all. Radioactivity produced traces of matter so minuscule and evanescent that researchers had to devise new techniques and instruments to investigate them. Scientists in many countries, but especially in laboratories in Paris, Manchester, and Vienna unraveled the details of radioactive transformations. They created a new science with specialized techniques, instruments, journals, and international conferences. Women entered the field in unprecedented numbers. Experiments led to revolutionary ideas about the atom and speculations about atomic energy. The excitement spilled over to the public, who expected marvels and miracles from radium, a scarce element discovered solely by its radioactivity. The new phenomenon enkindled the imagination and awakened ancient themes of literature and myth. Entrepreneurs created new industries, and physicians devised novel treatments for cancer. Radioactivity gave archaeologists methods for dating artifacts and meteorologists a new explanation for the air's conductivity. Their explorations revealed a mysterious radiation from space. Radioactivity profoundly changed science, politics, and culture. The field produced numerous Nobel Prize winners, yet radioactivity's talented researchers could not solve the mysteries underlying the new phenomenon. That was left to a new generation and a new way of thinking about reality. Radioactivity presents this fascinating history in a way that is both accessible and appealing to the general reader. Not merely a historical account, the book examines philosophical issues connected with radioactivity, and relates its topics to broader issues regarding the nature of science.

    With extensive treatment of the heart of epidemiology-from study designs to descriptive epidemiology to quantitative measures-this reader-friendly text is accessible and interesting to a wide range of beginning students in all health-related disciplines. A unique focus is given to real-world applications of epidemiology and the development of skills that students can apply in subsequent course work and in the field. The text is also accompanied by a complete package of instructor and student resources available through a companion Web site.

    A who's who of pathology experts delivers the most dependable, current, and complete coverage of today's essential pathology knowledge. At the same time, masterful editing and a practical organization make mastering every concept remarkably easy. Online access via Student Consult includes self-assessment and review questions, interactive case studies, downloadable images, videos, and a virtual microscope that lets you view slides at different magnifications. The result remains the ideal source for an optimal understanding of pathology. Offers the most authoritative and comprehensive, yet readable coverage available in any pathology textbook, making it ideal for USMLE or specialty board preparation as well as for course work. Includes access to the complete contents online via Student Consult, along with self-assessment and review questions, over 100 interactive clinical case studies, videos, and a virtual microscope that lets users view slides at different magnifications.Delivers a state-of-the-art understanding of the pathologic basis of disease through completely updated coverage, including the latest cellular and molecular biology.Demonstrates every concept visually with over 1,600 full-color photomicrographs and conceptual diagrams - many revised for even better quality.Facilitates learning with an outstanding full-color, highly user-friendly design.