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Realizing the Energy Potential of Methane Hydrate for the United States

by National Research Council of the National Academies

Natural gas, composed mostly of methane, is the cleanest of all the fossil fuels, emitting 25-50% less carbon dioxide than either oil or coal for each unit of energy produced. In recent years, natural gas supplied approximately 20-25% of all energy consumed in the United States. Methane hydrate is a potentially enormous and as yet untapped source of methane. The Department of Energy's Methane Hydrate Research and Development Program has been tasked since 2000 to implement and coordinate a national methane hydrate research effort to stimulate the development of knowledge and technology necessary for commercial production of methane from methane hydrate in a safe and environmentally responsible way. Realizing the Energy Potential of Methane Hydrate for the United States evaluates the program's research projects and management processes since its congressional re-authorization in 2005, and presents recommendations for its future research and development initiatives.

Realizing the Potential of C4I: Fundamental Challenges

by Committee to Review DOD C4I Plans Programs

Rapid progress in information and communications technologies is dramatically enhancing the strategic role of information, positioning effective exploitation of these technology advances as a critical success factor in military affairs. These technology advances are drivers and enablers for the "nervous system" of the military—its command, control, communications, computers, and intelligence (C4I) systems—to more effectively use the "muscle" side of the military.Authored by a committee of experts drawn equally from the military and commercial sectors, Realizing the Potential of C4I identifies three major areas as fundamental challenges to the full Department of Defense (DOD) exploitation of C4I technology—information systems security, interoperability, and various aspects of DOD process and culture. The book details principles by which to assess DOD efforts in these areas over the long term and provides specific, more immediately actionable recommendations. Although DOD is the focus of this book, the principles and issues presented are also relevant to interoperability, architecture, and security challenges faced by government as a whole and by large, complex public and private enterprises across the economy.

Realizing the Witch: Science, Cinema, and the Mastery of the Invisible

by Todd Meyers Richard Baxstrom

Benjamin Christensen’s Häxan (The Witch, 1922) stands as a singular film within the history of cinema. Deftly weaving contemporary scientific analysis and powerfully staged historical scenes of satanic initiation, confession under torture, possession, and persecution, Häxan creatively blends spectacle and argument to provoke a humanist re-evaluation of witchcraft in European history as well as the contemporary treatment of female “hysterics” and the mentally ill. In Realizing the Witch, Baxstrom and Meyers show how Häxan opens a window onto wider debates in the 1920s regarding the relationship of film to scientific evidence, the evolving study of religion from historical and anthropological perspectives, and the complex relations between popular culture, artistic expression, and concepts in medicine and psychology. Häxan is a film that travels along the winding path of art and science rather than between the narrow division of “documentary” and “fiction.” Baxstrom and Meyers reveal how Christensen’s attempt to tame the irrationality of “the witch” risked validating the very “nonsense” that such an effort sought to master and dispel. Häxan is a notorious, genre-bending, excessive cinematic account of the witch in early modern Europe. Realizing the Witch not only illustrates the underrated importance of the film within the canons of classic cinema, it lays bare the relation of the invisible to that which we cannot prove but nevertheless “know” to be there.

Realizing Tomorrow: The Path to Private Spaceflight (Outward Odyssey: A People's History of Spaceflight)

by Chris Dubbs Emeline Paat-Dahlstrom

U.S.A.F. Chief of Staff 2013 Professional Reading List Selection Nearly forty years passed between the Apollo moon landings, the grandest accomplishment of a government-run space program, and the Ansari X PRIZE–winning flights of SpaceShipOne, the greatest achievement of a private space program. Now, as we hover on the threshold of commercial spaceflight, authors Chris Dubbs and Emeline Paat-Dahlstrom look back at how we got to this point.Their book traces the lives of the individuals who shared the dream that private individuals and private enterprise belong in space. Realizing Tomorrow provides a behind-the-scenes look at the visionaries, the crackpots, the financial schemes, the legal wrangling, the turf battles, and—underpinning the entire drama—the overwhelming desire of ordinary people to visit outer space. A compelling story of the pioneers of commercial spaceflight—and their efforts to open the final frontier to everyone—this book traces the path to private spaceflight even as it offers an instructive, entertaining, and cautionary note about its future.

A Really Good Day: How Microdosing Made a Mega Difference in My Mood, My Marriage, and My Life

by Ayelet Waldman

<P>A revealing, courageous, fascinating, and funny account of the author's experiment with microdoses of LSD in an effort to treat a debilitating mood disorder, of her quest to understand a misunderstood drug, and of her search for a really good day. <P>When a small vial arrives in her mailbox from "Lewis Carroll," Ayelet Waldman is at a low point. <P>Her mood storms have become intolerably severe; she has tried nearly every medication possible; her husband and children are suffering with her. <P>So she opens the vial, places two drops on her tongue, and joins the ranks of an underground but increasingly vocal group of scientists and civilians successfully using therapeutic microdoses of LSD. <P>As Waldman charts her experience over the course of a month--bursts of productivity, sleepless nights, a newfound sense of equanimity--she also explores the history and mythology of LSD, the cutting-edge research into the drug, and the byzantine policies that control it. <P>Drawing on her experience as a federal public defender, and as the mother of teenagers, and her research into the therapeutic value of psychedelics, Waldman has produced a book that is eye-opening, often hilarious, and utterly enthralling.

A Really Good Day: How Microdosing Made a Mega Difference in My Mood, My Marriage and My Life

by Ayelet Waldman

'Ayelet Waldman is fearless' - Rebecca Solnit'Genuinely brave and human' - The New York Times'Wildly brilliant' - ElleThe true story of how a renowned writer's struggle with mood storms led her to try a remedy as drastic as it is forbidden: microdoses of LSD. Her fascinating journey provides a window into one family and the complex world of a once-infamous drug seen through new eyes.When a small vial arrives in her mailbox from 'Lewis Carroll,' Ayelet Waldman is at a low point. Her mood storms have become intolerably severe; she has tried nearly every medication possible; her husband and children are suffering with her. So she opens the vial, places two drops on her tongue, and joins the ranks of an underground but increasingly vocal group of scientists and civilians successfully using therapeutic microdoses of LSD. As Waldman charts her experience over the course of a month - bursts of productivity, sleepless nights, a newfound sense of equanimity - she also explores the history and mythology of LSD, the cutting-edge research into the drug, and the byzantine policies that control it. Drawing on her experience as a federal public defender, and as the mother of teenagers, and her research into the therapeutic value of psychedelics, Waldman has produced a book that is eye-opening, often hilarious, and utterly enthralling.

The Really Hard Problem: Meaning in a Material World (Bradford Bks.)

by Owen Flanagan

A noted philosopher proposes a naturalistic (rather than supernaturalistic) way to solve the "really hard problem": how to live in a meaningful way—how to live a life that really matters—even as a finite material being living in a material world. If consciousness is "the hard problem" in mind science—explaining how the amazing private world of consciousness emerges from neuronal activity—then "the really hard problem," writes Owen Flanagan in this provocative book, is explaining how meaning is possible in the material world. How can we make sense of the magic and mystery of life naturalistically, without an appeal to the supernatural? How do we say truthful and enchanting things about being human if we accept the fact that we are finite material beings living in a material world, or, in Flanagan's description, short-lived pieces of organized cells and tissue?Flanagan's answer is both naturalistic and enchanting. We all wish to live in a meaningful way, to live a life that really matters, to flourish, to achieve eudaimonia—to be a "happy spirit." Flanagan calls his "empirical-normative" inquiry into the nature, causes, and conditions of human flourishing eudaimonics. Eudaimonics, systematic philosophical investigation that is continuous with science, is the naturalist's response to those who say that science has robbed the world of the meaning that fantastical, wishful stories once provided.Flanagan draws on philosophy, neuroscience, evolutionary biology, and psychology, as well as on transformative mindfulness and self-cultivation practices that come from such nontheistic spiritual traditions as Buddhism, Confucianism, Aristotelianism, and Stoicism, in his quest. He gathers from these disciplines knowledge that will help us understand the nature, causes, and constituents of well-being and advance human flourishing. Eudaimonics can help us find out how to make a difference, how to contribute to the accumulation of good effects—how to live a meaningful life.

The Really Useful Book of Science Experiments: 100 easy ideas for primary school teachers (The Really Useful)

by Tracy-ann Aston

The Really Useful Book of Science Experiments contains 100 simple-to-do science experiments that can be confidently carried out by any teacher in a primary school classroom with minimal (or no!) specialist equipment needed. The experiments in this book are broken down into easily manageable sections including: It’s alive: experiments that explore our living world, including the human body, plants, ecology and disease A material world: experiments that explore the materials that make up our world and their properties, including metals, acids and alkalis, water and elements Let’s get physical: experiments that explore physics concepts and their applications in our world, including electricity, space, engineering and construction Something a bit different: experiments that explore interesting and unusual science areas, including forensic science, marine biology and volcanology. Each experiment is accompanied by a ‘subject knowledge guide’, filling you in on the key science concepts behind the experiment. There are also suggestions for how to adapt each experiment to increase or decrease the challenge. The text does not assume a scientific background, making it incredibly accessible, and links to the new National Curriculum programme of study allow easy connections to be made to relevant learning goals. This book is an essential text for any primary school teacher, training teacher or classroom assistant looking to bring the exciting world of science alive in the classroom.

The Really Useful Book of Secondary Science Experiments: 101 Essential Activities to Support Teaching and Learning (The Really Useful)

by Tracy-ann Aston

How can a potato be a battery? How quickly will a shark find you? What food should you take with you when climbing a mountain? The Really Useful Book of Secondary Science Experiments presents 101 exciting, ‘real-world’ science experiments that can be confidently carried out by any KS3 science teacher in a secondary school classroom. It offers a mix of classic experiments together with fresh ideas for investigations designed to engage students, help them see the relevance of science in their own lives and develop a passion for carrying out practical investigations. Covering biology, chemistry and physics topics, each investigation is structured as a problem-solving activity, asking engaging questions such as, ‘How can fingerprints help solve a crime?’, or ‘Can we build our own volcano?’ Background science knowledge is given for each experiment, together with learning objectives, a list of materials needed, safety and technical considerations, detailed method, ideas for data collection, advice on how to adapt the investigations for different groups of students, useful questions to ask the students and suggestions for homework. Additionally, there are ten ideas for science based projects that can be carried out over a longer period of time, utilising skills and knowledge that students will develop as they carrying out the different science investigations in the book. The Really Useful Book of Secondary Science Experiments will be an essential source of support and inspiration for all those teaching in the secondary school classroom, running science clubs and for parents looking to challenge and excite their children at home.

The Really Useful ICT Book: A practical guide to using technology across the primary curriculum (The Really Useful)

by Graham Peacock Jill Jesson

The Really Useful ICT Book is a practical and easy-to-use guide to give you all the confidence you need to use ICT really effectively inside and outside the primary classroom. It makes clear how ICT can be taught as a standalone subject, and how it can be used easily and imaginatively to enhance teaching other subjects. Jam-packed with ideas and templates to save you time, this friendly handbook offers an introduction to: using ICT inside the classroom – including interactive whiteboards, computer suites, VLEs and e-safety using ICT outside the classroom – including word processors, laptops, data loggers and digital cameras when and how to use a wide range of software and hardware – from spreadsheet packages through to digital photography, e-portfolios and software simulation using ICT in all subject areas practical suggestions for using ICT in cross-curricular topics using ICT to develop teacher and pupil creativity using ICT for assessment and in your professional role. With an emphasis on developing children’s creativity and on progression from Key Stage 1 to Key Stage 2, The Really Useful ICT Book is a comprehensive compendium of advice and inspiration for all training, newly qualified and experienced teachers, as well as those in support roles in primary schools.

The Really Useful Science Book: A Framework of Knowledge for Primary Teachers (The Really Useful)

by Steve Farrow Amy Strachan

Offering support to both trainee and practising teachers, the fourth edition of The Really Useful Science Book is the perfect tool for those who wish to extend their subject knowledge, enhance their teaching and create lessons which link directly to the National Curriculum. The easy-to-follow framework provides comprehensive science knowledge for Key Stages 1 and 2 and is fully updated with new material to inspire stimulating and engaging science lessons. The book is divided into three sections: Biology, Chemistry and Physics. Each section integrates key scientific ideas and facts with innovative teaching methods and activity suggestions, and user-friendly language and illustrations help to explain key scientific concepts. With links to global learning, discussion of common misconceptions, and ideas for cross-curricular opportunities, each chapter connects knowledge to practice and informs creative and inspiring teaching. The Really Useful Science Book is an invaluable reference resource for all classroom teachers who wish to develop the confidence to teach enquiry-based practical science with relevance to pupils and their global community.

REAPING THE BENEFITS OF Genomic and Proteomic Research: Intellectual Property Rights, Innovation,and Public Health

by Committee on Intellectual Property Rights in Genomic Protein Research Innovation

The patenting and licensing of human genetic material and proteins represents an extension of intellectual property (IP) rights to naturally occurring biological material and scientific information, much of it well upstream of drugs and other disease therapies. This report concludes that IP restrictions rarely impose significant burdens on biomedical research, but there are reasons to be apprehensive about their future impact on scientific advances in this area. The report recommends 13 actions that policy-makers, courts, universities, and health and patent officials should take to prevent the increasingly complex web of IP protections from getting in the way of potential breakthroughs in genomic and proteomic research. It endorses the National Institutes of Health guidelines for technology licensing, data sharing, and research material exchanges and says that oversight of compliance should be strengthened. It recommends enactment of a statutory exception from infringement liability for research on a patented invention and raising the bar somewhat to qualify for a patent on upstream research discoveries in biotechnology. With respect to genetic diagnostic tests to detect patient mutations associated with certain diseases, the report urges patent holders to allow others to perform the tests for purposes of verifying the results.

Rearming Israel: Defense Procurement Through The 1990s (Publications Of The Jaffee Center For Strategic Studies, Tel Aviv University #No. 17)

by Aharon Klieman Reuven Pedatzur

This study analyzes the key functions of arms planning and procurement in the ongoing Israeli defence effort. Part I addresses individual constraints placed on the shaping of arms control policy. Part II asks how Israel might best meet its arms needs over the next decade.

Reason and Less: Pursuing Food, Sex, and Politics

by Vinod Goel

A new, biologically driven model of human behavior in which reason is tethered to the evolutionarily older autonomic, instinctive, and associative systems. In Reason and Less, Vinod Goel explains the workings of the tethered mind. Reason does not float on top of our biology but is tethered to evolutionarily older autonomic, instinctive, and associative systems. After describing the conceptual and neuroanatomical basis of each system, Goel shows how they interact to generate a blended response. Goel&’s commonsense account drives human behavior back into the biology, where it belongs, and provides a richer set of tools for understanding how we pursue food, sex, and politics. Goel takes the reader on a journey through psychology (cognitive, behavioral, developmental, and evolutionary), neuroscience, philosophy, ethology, economics, and political science to explain the workings of the tethered mind. One key insight that holds everything together is that feelings—generated in old, widely conserved brain stem structures—are evolution&’s solution to initiating and selecting all behaviors, and provide the common currency for the different systems to interact. Reason is as much about feelings as are lust and the taste of chocolate cake. All systems contribute to behavior and the overall control structure is one that maximizes pleasure and minimizes displeasure. Tethered rationality has some sobering and challenging implications for such real-world human behaviors as climate change denial, Trumpism, racism, or sexism. They cannot be changed simply by targeting beliefs but will require more drastic measures, the nature of which depends on the specific behavior in question. Having an accurate model of human behavior is the crucial first step.

Reason for Hope: A Spiritual Journey (Windsor Selection Ser.)

by Jane Goodall Phillip Berman

As a young woman, Jane Goodall was best known for her groundbreaking fieldwork with the chimpanzees of Gombe, Africa. Goodall's work has always been controversial, mostly because she broke the mold of research scientist by developing meaningful relationships with her "specimens" and honoring their lives as she would other humans. Now at the age of 60, she continues to break the mold of scientist by revealing how her research and worldwide conservation institutes spring from her childhood callings and adult spiritual convictions. Reason for Hope is a smoothly written memoir that does not shy away from facing the realities of environmental destruction, animal abuse, and genocide. But Goodall shares her antidote to the poison of despair with specific examples of why she has not lost faith. For instance, she shares her spiritual epiphany during a visit to Auschwitz; her bravery in the face of chimpanzee imprisonment in medical laboratories; and devotes a whole chapter to individuals, corporations, and countries that are doing the right thing. But most of all Goodall provides a beautifully written plea for why everyone can and must find a reason for hope. --Gail Hudson

The Reason for the Darkness of the Night: Edgar Allan Poe and the Forging of American Science

by John Tresch

One of The Christian Science Monitor's ten best books of JuneAn innovative biography of Edgar Allan Poe—highlighting his fascination and feuds with science.Decade after decade, Edgar Allan Poe remains one of the most popular American writers. He is beloved around the world for his pioneering detective fiction, tales of horror, and haunting, atmospheric verse. But what if there was another side to the man who wrote “The Raven” and “The Fall of the House of Usher”?In The Reason for the Darkness of the Night, John Tresch offers a bold new biography of a writer whose short, tortured life continues to fascinate. Shining a spotlight on an era when the lines separating entertainment, speculation, and scientific inquiry were blurred, Tresch reveals Poe’s obsession with science and lifelong ambition to advance and question human knowledge. Even as he composed dazzling works of fiction, he remained an avid and often combative commentator on new discoveries, publishing and hustling in literary scenes that also hosted the era’s most prominent scientists, semi-scientists, and pseudo-intellectual rogues. As one newspaper put it, “Mr. Poe is not merely a man of science—not merely a poet—not merely a man of letters. He is all combined; and perhaps he is something more.”Taking us through his early training in mathematics and engineering at West Point and the tumultuous years that followed, Tresch shows that Poe lived, thought, and suffered surrounded by science—and that many of his most renowned and imaginative works can best be understood in its company. He cast doubt on perceived certainties even as he hungered for knowledge, and at the end of his life delivered a mind-bending lecture on the origins of the universe that would win the admiration of twentieth-century physicists. Pursuing extraordinary conjectures and a unique aesthetic vision, he remained a figure of explosive contradiction: he gleefully exposed the hoaxes of the era’s scientific fraudsters even as he perpetrated hoaxes himself. Tracing Poe’s hard and brilliant journey, The Reason for the Darkness of the Night is an essential new portrait of a writer whose life is synonymous with mystery and imagination—and an entertaining, erudite tour of the world of American science just as it was beginning to come into its own.

The Reason for the Seasons

by Ellie Peterson

We all know there are four seasons in a year. But HOW do we know? Join intrepid young scientist-adventurer Joulia Copernicus on a journey around the world as she explains with humor and wit how we know what causes the seasons.Winter, spring, summer, fall -- we all have a favorite season. But what makes the seasons happen in the first place? Ellie Peterson's clear, concise language and bold, kid-friendly illustrations bring science to life through narrator Joulia Copernicus, a strong and adventurous kid scientist. Kids will laugh while learning at the same time about the science behind the changing of the seasons throughout the year.

Reason, Religion, and Democracy

by Dennis C. Mueller

The rise of religious fundamentalism in different parts of the world in recent years and its association with terrorism has led to renewed interest in the nature of religion and its compatibility with Western institutions. Much of the focus of this new interest has contrasted religion and science as systems of knowledge. This book also emphasizes the difference between religion and science as means for understanding causal relationships, but it focuses much more heavily on the challenge religious extremism poses for liberal democratic institutions. The treatment contains a discussion of human psychology, describes the salient characteristics of all religions, and contrasts religion and science as systems of thought. Historical sketches are used to establish a link between modernity and the use of the human capacity for reasoning to advance human welfare. The book describes the conditions under which democratic institutions can advance human welfare, and the nature of constitutional rights as protectors of individual freedoms. Extremist religions are shown to pose a threat to liberal democracy, a threat that has implications for immigration and education policies and the definition of citizenship.

Reasoning About Luck: Probability and Its Uses in Physics (Dover Books on Physics)

by Vinay Ambegaokar

This book introduces college students and other readers to the uses of probability and statistics in the physical sciences, focusing on thermal and statistical physics and touching upon quantum physics. Widely praised as beautifully written and thoughtful, Reasoning About Luck explains concepts in a way that readers can understand and enjoy, even students who are not specializing in science and those outside the classroom — only some familiarity with basic algebra is necessary. Attentive readers will come away with a solid grasp of many of the basic concepts of physics and some excellent insights into the way physicists think and work. "If students who are not majoring in science understood no more physics than that presented by Ambegaokar, they would have a solid basis for thinking about physics and the other sciences." — Physics Today."There is a real need for rethinking how we teach thermal physics—at all levels, but especially to undergraduates. Professor Ambegaokar has done just that, and given us an outstanding and ambitious textbook for nonscience majors. I find Professor Ambegaokar's style throughout the book to be graceful and witty, with a nice balance of both encouragement and admonishment." — American Journal of Physics.

Reasoning in Measurement (History and Philosophy of Technoscience)

by Nicola Mößner and Alfred Nordmann

This collection offers a new understanding of the epistemology of measurement. The interdisciplinary volume explores how measurements are produced, for example, in astronomy and seismology, in studies of human sexuality and ecology, in brain imaging and intelligence testing. It considers photography as a measurement technology and Henry David Thoreau's poetic measures as closing the gap between mind and world. By focusing on measurements as the hard-won results of conceptual as well as technical operations, the authors of the book no longer presuppose that measurement is always and exclusively a means of representing some feature of a target object or entity. Measurement also provides knowledge about the degree to which things have been standardized or harmonized – it is an indicator of how closely human practices are attuned to each other and the world.

The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator (Synthesis Lectures on Engineering, Science, and Technology)

by Horst Beyer

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. In quantum field theory or general relativity, mathematics and physics are inextricably interwoven. As such, the book is mathematically rigorous. The author focuses on the properties of the quantum system that can be observed and measured and interprets the resulting theory. The methods of operator theory are discussed throughout in the formulation of the theory as well as in the calculation of the consequences of the theory. The book addresses the mathematical support of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in Hilbert spaces. Considerable focus is placed on the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell’s inequality.

Reasons of Conscience: The Bioethics Debate in Germany

by Stefan Sperling

The implicit questions that inevitably underlie German bioethics are the same ones that have pervaded all of German public life for decades: How could the Holocaust have happened? And how can Germans make sure that it will never happen again? In "Reasons of Conscience," Stefan Sperling considers the bioethical debates surrounding embryonic stem cell research in Germany at the turn of the twenty-first century, highlighting how the countryOCOs ongoing struggle to come to terms with its past informs the decisions it makes today. aaaaaaaaaaaSperling brings the reader unmatched access to the offices of the German parliament to convey the role that morality and ethics play in contemporary Germany. He describes the separate and interactive workings of the two bodies assigned to shape German bioethicsOCothe parliamentary Enquiry Commission on Law and Ethics in Modern Medicine and the executive branchOCOs National Ethics CouncilOCotracing each institutionOCOs genesis, projected image, and operations, and revealing that the content of bioethics cannot be separated from the workings of these institutions. Sperling then focuses his discussion around three core categoriesOCotransparency, conscience, and Germany itselfOCoarguing that without fully considering these, we fail to understand German bioethics. He concludes with an assessment of German legislators and regulatorsOCO attempts to incorporate criteria of ethical research into the German Stem Cell Law. "

Reassessing Paleolithic Subsistence: The Neandertal and Modern Human Foragers of Saint-Césaire

by Eugène Morin

The contribution of Neandertals to the biological and cultural emergence of early modern humans remains highly debated in anthropology. Particularly controversial is the long-held view that Neandertals in Western Europe were replaced 30,000 to 40,000 years ago by early modern humans expanding out of Africa. This book contributes to this debate by exploring the diets and foraging patterns of both Neandertals and early modern humans. Eugène Morin examines the faunal remains from Saint-Césaire in France, which contains an exceptionally long and detailed chronological sequence, as well as genetic, anatomical, and other archaeological evidence to shed new light on the problem of modern human origins.

Reassessing Riemann's Paper: On The Number Of Primes Less Than A Given Magnitude (Springerbriefs In History Of Science And Technology Ser.)

by Walter Dittrich

In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers, including such then new ideas as analytical continuation in the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized.

Reassessing Riemann's Paper: On the Number of Primes Less Than a Given Magnitude (SpringerBriefs in History of Science and Technology)

by Walter Dittrich

In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. The text concentrates in particular on Riemann’s only work on prime numbers, including ideas – new at the time – such as analytical continuation into the complex plane and the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta-function is presented. The impact of Riemann’s ideas on regularizing infinite values in field theory is also emphasized. This revised and enhanced new edition contains three new chapters, two on the application of Riemann’s zeta-function regularization to obtain the partition function of a Bose (Fermi) oscillator and one on the zeta-function regularization in quantum electrodynamics. Appendix A2 has been re-written to make the calculations more transparent. A summary of Euler-Riemann formulae completes the book.

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