This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988. The translation is faithful to the original globally but, taking advantage of my being the translator of my own book, I felt completely free to reform or deform the original locally everywhere. When I sent T. Tamagawa a copy of the First Edition of the original work two years ago, he immediately pointed out that I had skipped the discussion of the class numbers of real quadratic fields in terms of continued fractions and (in a letter dated 2/15/87) sketched his idea of treating continued fractions without writing explicitly continued fractions, an approach he had first presented in his number theory lectures at Yale some years ago. Although I did not follow his approach exactly, I added to this translation a section (Section 4. 9), which nevertheless fills the gap pointed out by Tamagawa. With this addition, the present book covers at least T. Takagi's Shoto Seisuron Kogi (Lectures on Elementary Number Theory), First Edition (Kyoritsu, 1931), which, in turn, covered at least Dirichlet's Vorlesungen. It is customary to assume basic concepts of algebra (up to, say, Galois theory) in writing a textbook of algebraic number theory. But I feel a little strange if I assume Galois theory and prove Gauss quadratic reciprocity.
The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old work in English. This time, I added a chapter on the arithmetic of quadratic maps (Chapter 7) and Appendix 2, A Short Survey of Subsequent Research on Congruent Numbers, by M. Kida. Some 20 years ago, while rifling through the pages of Selecta Heinz Hopj (Springer, 1964), I noticed a system of three quadratic forms in four variables with coefficientsin Z that yields the map of the 3-sphere to the 2-sphere with the Hopf invariant r =1 (cf. Selecta, p. 52). Immediately I feit that one aspect of classical and modern number theory, including quadratic forms (Pythagoras, Fermat, Euler, and Gauss) and space elliptic curves as intersection of quadratic surfaces (Fibonacci, Fermat, and Euler), could be considered as the number theory of quadratic maps-especially of those maps sending the n-sphere to the m-sphere, i.e., the generalized Hopf maps. Having these in mind, I deliveredseverallectures at The Johns Hopkins University (Topics in Number Theory, 1973-1974, 1975-1976, 1978-1979, and 1979-1980). These lectures necessarily contained the following three basic areas of mathematics: v vi Preface Theta Simple Functions Aigebras Elliptic Curves Number Theory Figure P.l.
This book is a compilation of reviews about the complication of Type 1 Diabetes. T1D is a classic autoimmune disease. Genetic factors are clearly determinant but cannot explain the rapid, even overwhelming expanse of this disease. Understanding etiology and pathogenesis of this disease is essential. The complications associated with T1D cover a range of clinical obstacles. A number of experts in the field have covered a range of topics for consideration that are applicable to researcher and clinician alike. This book provides apt descriptions of cutting edge technologies and applications in the ever going search for treatments and cure for diabetes.
This book contains a series of up-to-date chapters that review our current knowledge of type 1 diabetes as an autoimmune disease, the problems that still remain with existing treatments, and possible solutions for the near future.
This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988. The translation is faithful to the original globally but, taking advantage of my being the translator of my own book, I felt completely free to reform or deform the original locally everywhere. When I sent T. Tamagawa a copy of the First Edition of the original work two years ago, he immediately pointed out that I had skipped the discussion of the class numbers of real quadratic fields in terms of continued fractions and (in a letter dated 2/15/87) sketched his idea of treating continued fractions without writing explicitly continued fractions, an approach he had first presented in his number theory lectures at Yale some years ago. Although I did not follow his approach exactly, I added to this translation a section (Section 4. 9), which nevertheless fills the gap pointed out by Tamagawa. With this addition, the present book covers at least T. Takagi's Shoto Seisuron Kogi (Lectures on Elementary Number Theory), First Edition (Kyoritsu, 1931), which, in turn, covered at least Dirichlet's Vorlesungen. It is customary to assume basic concepts of algebra (up to, say, Galois theory) in writing a textbook of algebraic number theory. But I feel a little strange if I assume Galois theory and prove Gauss quadratic reciprocity.
On December 13, 1937, the Japanese army attacked and captured the Chinese capital city of Nanjing, planting the rising-sun flag atop the city's outer walls. What occurred in the ensuing weeks and months has been the source of a tempestuous debate ever since. It is well known that the Japanese military committed wholesale atrocities after the fall of the city, massacring large numbers of Chinese during the both the Battle of Nanjing and in its aftermath. Yet the exact details of the war crimes--how many people were killed during the battle? How many after? How many women were raped? Were prisoners executed? How unspeakable were the acts committed?--are the source of controversy among Japanese, Chinese, and American historians to this day. In The Making of the "Rape of Nanking Takashi Yoshida examines how views of the Nanjing Massacre have evolved in history writing and public memory in Japan, China, and the United States. For these nations, the question of how to treat the legacy of Nanjing--whether to deplore it, sanitize it, rationalize it, or even ignore it--has aroused passions revolving around ethics, nationality, and historical identity. Drawing on a rich analysis of Chinese, Japanese, and American history textbooks and newspapers, Yoshida traces the evolving--and often conflicting--understandings of the Nanjing Massacre, revealing how changing social and political environments have influenced the debate. Yoshida suggests that, from the 1970s on, the dispute over Nanjing has become more lively, more globalized, and immeasurably more intense, due in part to Japanese revisionist history and a renewed emphasis on patriotic education in China. While today it is easy to assume that the Nanjing Massacre has always been viewed as an emblem of Japan's wartime aggression in China, the image of the "Rape of Nanking" is a much more recent icon in public consciousness. Takashi Yoshida analyzes the process by which the Nanjing Massacre has become an international symbol, and provides a fair and respectful treatment of the politically charged and controversial debate over its history.
Developments of International Trade Theory offers the life-long reflections of a distinguished Japanese scholar who pioneered the application of general equilibrium theory to international trade. Written in a style that makes it easily accessible to scholars and students, the book combines standard topics on international trade with a discussion of the evolution of the theory and some recent discussions on topics like immiserizing growth. This book is presented in two parts. Part I examines the historical progression of international trade theory. Part II addresses the modern theory and recent developments of international trade. This book offers a comprehensive evaluation of the non-monetary problems of international economics.
Gate Dielectrics and MOS ULSIs provides necessary and sufficient information for those who wish to know well and go beyond the conventional SiO2 gate dielectric. The topics particularly focus on dielectric films satisfying the superior quality needed for gate dielectrics even in large-scale integration. And since the quality requirements are rather different between device applications, they are selected in an applicatipn-oriented manner, e.g., conventional SiO2 used in CMOS logic circuits, nitrided oxides, which recently became indispensable for flash memories, and composite ONO and ferroelectric films for passive capacitors used in DRAM applications. The book also covers issues common to all gate dielectrics, such as MOSFET physics, evaluation, scaling, and device application/integration for successful development. The information is as up to date as possible, especially for nanometer-range ultrathin gate-dielectric films indispensible in submicrometer ULSIs. The text together with abundant illustrations will take even the inexperienced reader up to the present high state of the art. It is the first book presenting nitrided gate oxides in detail.
This volume examines a category of Japanese divinities that centered on the concept of “world renewal” (yonaoshi). In the latter half of the Tokugawa period (1603–1867), a number of entities, both natural and supernatural, came to be worshipped as “gods of world renewal.” These included disgruntled peasants who demanded their local governments repeal unfair taxation, government bureaucrats who implemented special fiscal measures to help the poor, and a giant subterranean catfish believed to cause earthquakes to punish the hoarding rich. In the modern period, yonaoshi gods took on more explicitly anti-authoritarian characteristics. During a major uprising in Saitama Prefecture in 1884, a yonaoshi god was invoked to deny the legitimacy of the Meiji regime, and in the late nineteenth and early twentieth centuries, the new religion Ōmoto predicted an apocalyptic end of the world presided over by a messianic yonaoshi god. Using a variety of local documents to analyze the veneration of yonaoshi gods, Takashi Miura looks beyond the traditional modality of research focused on religious professionals, their institutions, and their texts to illuminate the complexity of a lived religion as practiced in communities. He also problematizes the association frequently drawn between the concept of yonaoshi and millenarianism, demonstrating that yonaoshi gods served as divine rectifiers of specific economic injustices and only later, in the modern period and within the context of new religions such as Ōmoto, were fully millenarian interpretations developed. The scope of world renewal, in other words, changed over time. Agents of World Renewal approaches Japanese religion through the new analytical lens of yonaoshi gods and highlights the necessity of looking beyond the boundary often posited between the early modern and modern periods when researching religious discourses and concepts.
“Equal parts social sim, murder mystery and courtroom thriller.”—Polygon Each year, the elite Hope’s Peak Academy selects only the most gifted and talented students to enroll . . . plus one ordinary student, chosen by lottery. Makoto Naegi was that lucky person—or so he thought! When he shows up for class, he finds the elite students are a bizarre cast of oddballs under the ruthless authority of a robot teddy bear principal, Monokuma. The bear lays down the school rules: the only way out of Hope’s Peak is to not only murder another student . . . but get away with it, as every murder is followed by a tribunal where the surviving students cross-examine each other! * Inspired by the video game series for PSP, released through NIS America. * Based on the anime TV show, released in 2015 through Funimation.
This textbook is for students studying medicine and other biosciences. Understanding biochemistry requires basic understanding of organic chemistry. The main purpose of this book is, therefore, to help students to understand biomolecule-related organic chemistry. Fundamental theories such as the molecular orbital method, thermodynamic law, frontier orbital theory, and molecular interactions, which have not been covered in basic organic chemistry textbooks, are explored. The book also describes the chemistry of important biomolecules, such as carbohydrates, lipids, proteins, and nucleic acids, as well as discussing organic photochemistry.
The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old work in English. This time, I added a chapter on the arithmetic of quadratic maps (Chapter 7) and Appendix 2, A Short Survey of Subsequent Research on Congruent Numbers, by M. Kida. Some 20 years ago, while rifling through the pages of Selecta Heinz Hopj (Springer, 1964), I noticed a system of three quadratic forms in four variables with coefficientsin Z that yields the map of the 3-sphere to the 2-sphere with the Hopf invariant r =1 (cf. Selecta, p. 52). Immediately I feit that one aspect of classical and modern number theory, including quadratic forms (Pythagoras, Fermat, Euler, and Gauss) and space elliptic curves as intersection of quadratic surfaces (Fibonacci, Fermat, and Euler), could be considered as the number theory of quadratic maps-especially of those maps sending the n-sphere to the m-sphere, i.e., the generalized Hopf maps. Having these in mind, I deliveredseverallectures at The Johns Hopkins University (Topics in Number Theory, 1973-1974, 1975-1976, 1978-1979, and 1979-1980). These lectures necessarily contained the following three basic areas of mathematics: v vi Preface Theta Simple Functions Aigebras Elliptic Curves Number Theory Figure P.l.
This book aims to explain to the readers the basic idea of the general equilibrium theory, which forms the core of the current mainstream economics called neoclassical school. To understand this theory is absolutely necessary, either to study further or to criticize the contemporary economic theories. The author not only explains traditional theories, but also makes clear the many problems which are still unsolved. As a text book or reference book for those students who are studying microeconomics for the first time, the author recommends the use of Chapter 1, Chapter 2 (except section 9), Chapter 3 (from section 1 to section 3, section 6, section 11), Chapter 4 (from section 1 to section 4), Chapter 5 (from section 1 to section 5, section 8), Chapter 6 (except sections 6 and 7), Chapter 7 (from section 1 to section 5), Chapter 8 (from section 1 to section 6) and Chapter 9 (sections 1, 4 and 7). For more advanced readers, the author recommends the remaining sections and the literature recommended in the last part of each chapter. Problems given at the end of each chapter allow readers to confirm understanding of the content of the chapter and suggest to the readers more advanced studies. Incidentally, the author tried to avoid the use of the advanced mathematics. Only elementary knowledge of differential calculus and linear algebra are required to read this book.
Originally published in 1980. Dogen was the founder of the Soto School of Zen and one of the most influential thinkers in the history of Japanese Buddhism. When originally published, this historical and textual study was the first to examine in detail the line of continuity between Dogen and his Chinese predecessors, through his Chinese master, Ju-ching.
Wanko finally manages to land a major role after multiple auditions. At the same time, Ellie reaches a turning point as she works on her original project! The story of the sweet relationship between a twenty-two-year-old rookie voice actress and a thirty-two-year-old scriptwriter reaches its happy ending!
This volume aims at collecting survey papers which give broad and enlightening perspectives of various aspects of number theory. Kitaoka's paper is a continuation of his earlier paper published in the last proceedings and pushes the research forward. Browning's paper introduces a new direction of research on analytic number theory ? quantitative theory of some surfaces and Bruedern et al's paper details state-of-the-art affairs of additive number theory. There are two papers on modular forms ? Kohnen's paper describes generalized modular forms (GMF) which has some applications in conformal field theory, while Liu's paper is very useful for readers who want to have a quick introduction to Maass forms and some analytic-number-theoretic problems related to them. Matsumoto et al's paper gives a very thorough survey on functional relations of root system zeta-functions, Hoshi?Miyake's paper is a continuation of Miyake's long and fruitful research on generic polynomials and gives rise to related Diophantine problems, and Jia's paper surveys some dynamical aspects of a special arithmetic function connected with the distribution of prime numbers. There are two papers of collections of problems by Shparlinski on exponential and character sums and Schinzel on polynomials which will serve as an aid for finding suitable research problems. Yamamura's paper is a complete bibliography on determinant expressions for a certain class number and will be useful to researchers.Thus the book gives a good-balance of classical and modern aspects in number theory and will be useful to researchers including enthusiastic graduate students.
In the fields of biologically active materials and functional materials, fluorinated organic materials are becoming a focus of significant interest. Over the past decade synthetic methodologies and reagents in fluorine chemistry have been developed, especially stereocontrolled synthetic methods, enzymatic resolution to synthesize enantiomers, fluoromethylated reagents, and fluorination reagents. These methods have contributed to the opening of new pathways for fluorinated materials. However, few fluorinated materials have been put to commercial use. Furthermore, there remain problems to be solved, such as the handling of the materials, availability of reagents and selectivity (stereo-, regio-, and/or chemoselectivity). Research chemists, technical engineers, and graduate students in all branches of chemistry, pharmaceutics, and material science interested in fluorinated materials need to know detailed experimental procedures of how to synthesize the target fluorinated materials. This volume summarizes the chemical and microbial methods for obtaining functionalized fluorinated materials for use as building blocks; detailed experimental methods (reaction conditions, solvent, temperature, handling techniques, etc.); and the stereoview (possible absolute configuration) of the structures with spectral data. Mono-, di-, tri-, and polyfluorinated materials derived from fluorinating agents, fluoromethylated reagents and building blocks are summarized. A chemical name index, molecular formula index, and reagent index are also included. The publication of this monograph will provide access to the enormous possibilities in fluorine chemistry, biological material chemistry, and functionalized material chemistry.
Gin continues to spend relaxing days with Yuzu and his sisters, though he can feel Kuroha's jealousy gradually accumulating. But one day, Professor Choumabayshi tells him something ominous: "If you don't get together with Kuroha, she'll be erased." Kuroha has become a key factor to changing history, and the forces of evil are aiming for her. For the sake of moe culture and everyone he loves, Gin paves the way to the future!
Optical disc industry is one of the successful businesses in the world, and huge amounts of discs and drives have been spread all over the world. More than a billion discs are produced and distributed every year. Since the ?rst optical discs – Laser Discs and Compact Discs (CD) – were shipped in the early 1980s, they have rapidly dominated the world music market, and DVDs will replace the video-tape market in the near future. The optical disc and drive technologies consist of the most advanced and integrated systems with regard to optics, physics, chemistry, mathematics, electronics, mechanics and related subjects; a huge number of scientists and engineers have engaged in the research and development of the systems. One of the key factors of the development of the optical disc systems, of course, results in the availability of cheap, stable, and reliable semiconductor laser units. Now, you can store data up to 4. 7GB on a single side of the 12-cm DVD, and in the near future, blue laser technology will allow storage of more than 20GB on the same size disc. We should not however forget the other core technologies such as focusing the beam on the surface of a spinning disc precisely, and encoding and decoding digital data. The data capacity of optical discs has increased from 0. 65GB to 25GB by the year 2003, and we certainly believe it will continue to increase with new technologies.
Miyazawa Kiichi played a leading role in Japan's government and politics from 1942 until 2003, during which time he served as Prime Minister, and also as Minister of Finance, Minister of Foreign Affairs, Minister of International Trade and Industry, Director General of the Economic Planning Agency, and Chief Cabinet Secretary. In this oral history autobiography, he discusses with candor and detail a wide range of topics, including his 1939 visit to the United States, recovery policies during the postwar occupation, the San Francisco Peace Treaty, and Japan's role in international organizations such as GATT and OECD, and gives a thoughtful insider's view of six decades of Japanese politics, closing with his thoughts on Japan's role in the 21st century. Miyazawa's testimony contains the unmistakable richness of the words of one who was present as history was being made. The political candor, unmatched scope, and largely first-person narrative make this book unique.
This travel guide doubles as a beautiful photo album, featuring truly hidden gems in the less traveled countryside of Japan. The author, Takashi Sato, is a landscape photographer who has traveled to all 47 prefectures to capture the many faces of Japan on film. Page after page, the author guides you to some of the most special places. This book is full of useful information for planning your visit to Japan, with detailed information on getting around on trains, buses, cars and domestic flights. There is also a companion website for updated information, easily accessible by QR codes included in the book.
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