The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. [Sh 1] [Sh 2], and [Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject useful to them, and so I have decided to publish this short book to make them more widely available. Readers acquainted with the standard theory of abelian varieties, and who wish to get rapidly an idea of the fundamental facts of complex multi plication, are advised to look first at the two main theorems, Chapter 3, 6 and Chapter 4, 1, as well as the rest of Chapter 4. The applications of Chapter 6 could also be profitably read early. I am much indebted to N. Schappacher for a careful reading of the manu script resulting in a number of useful suggestions. S. LANG Contents CHAPTER 1 Analytic Complex Multiplication 4 I. Positive Definite Involutions . . . 6 2. CM Types and Subfields. . . . . 8 3. Application to Abelian Manifolds. 4. Construction of Abelian Manifolds with CM 14 21 5. Reflex of a CM Type . . . . .

It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.

Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points.

In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed over the past few years. Let i) be the upper half plane, and N a positive integer. Let r(N) be the subgroup of SL (Z) consisting of those matrices == 1 mod N. Then r(N)\i) 2 is complex analytic isomorphic to an affine curve YeN), whose compactifi cation is called the modular curve X(N). The affine ring of regular functions on yeN) over C is the integral closure of C j] in the function field of X(N) over C. Here j is the classical modular function. However, for arithmetic applications, one considers the curve as defined over the cyclotomic field Q(JlN) of N-th roots of unity, and one takes the integral closure either of Q j] or Z j], depending on how much arithmetic one wants to throw in. The units in these rings consist of those modular functions which have no zeros or poles in the upper half plane. The points of X(N) which lie at infinity, that is which do not correspond to points on the above affine set, are called the cusps, because of the way they look in a fundamental domain in the upper half plane. They generate a subgroup of the divisor class group, which turns out to be finite, and is called the cuspidal divisor class group."

This book analyzes the response of the Indonesian press to American foreign policy during the administrations of Presidents Bush and Obama. Situated in Southeast Asia, Indonesia is the world's fourth most populous country and the largest Muslim nation, and as such is a potentially vital economic and strategic partner to the US in the 21st century. Ever since Indonesian independence post World War II, relations to the US have been marked by ups and downs. The author argues that the way the Indonesian public perceives the world has an impact on the national self-image that again heavily influences national foreign affairs. For both the US and Indonesia, this is a crucial moment in bilateral relations. This study explores Indonesian media responses to American foreign policy by analyzing more than 400 press articles. In the context of President Obama's declared "pivot to Asia", both countries need to find a way to foster better relations.

This 1999 book demonstrates a method for reading the texts of Aristotle by revealing a continuous line of argument running from the Physics to De Caelo. The author analyses a group of arguments that are almost always treated in isolation from one another, and reveals their elegance and coherence. She concludes by asking why these arguments remain interesting even though we now believe they are absolutely wrong and have been replaced by better ones. The book establishes the case that we must rethink our approach to Aristotle's physical science and Aristotelian texts, and as such will provoke debate and stimulate new thinking amongst philosophers, classicists, and historians of science.

'I have not seen anything quite as systematic as this material in guiding the reader through a process for developing a valid and reliable assessment plan. Covers all the areas one would want in designing a system for accreditation or for other purposes' - Martha Gage, Director, Teacher Education & Licensure, Kansas State Department of Education 'Realistically reveals the extent of the task of teacher certification and provides us with a structured learning experience that should improve our abilities with this task' - Pearl Solomon, Associate Professor, St. Thomas Aquinas College A complete, step-by-step guide to teacher assessments that meet national accreditation and accountability standards. Written in a reader-friendly style for busy faculty members and school administrators with little or no prior knowledge of statistics, this comprehensive model is designed to create fair, valid, and reliable assessments of teacher knowledge and skills. Evaluation experts Judy Wilkerson and Steve Lang provide detailed guidance for the complete five-step assessment process, making this an ideal resource both for preservice and inservice settings, including accreditation reviews and teacher induction programs. Offering worksheets and activities to illustrate every step of the process, this all-inclusive handbook covers: o Definitions, contextual factors, and sampling o Aligning performance tasks with standards defined by NCLB, NCATE, INTASC, and other groups o Designing and implementing data tracking and management systems o Ensuring psychometric integrity Valid and reliable decisions about teacher competency are based on fair, valid, and reliable assessment systems. Assessing Teacher Competency is the book all teacher educators, supervisors, and mentors have been waiting for.

This book analyzes the response of the Indonesian press to American foreign policy during the administrations of Presidents Bush and Obama. Situated in Southeast Asia, Indonesia is the world's fourth most populous country and the largest Muslim nation, and as such is a potentially vital economic and strategic partner to the US in the 21st century. Ever since Indonesian independence post World War II, relations to the US have been marked by ups and downs. The author argues that the way the Indonesian public perceives the world has an impact on the national self-image that again heavily influences national foreign affairs. For both the US and Indonesia, this is a crucial moment in bilateral relations. This study explores Indonesian media responses to American foreign policy by analyzing more than 400 press articles. In the context of President Obama's declared "pivot to Asia", both countries need to find a way to foster better relations.

"There is a vitally important link between teacher preparation and the performance of those teachers and their students. Assessing Teacher Competency and Assessing Teacher Dispositions provide a strong underpinning to improve teacher competencies in both the cognitive and affective domains in ways that we can hope will endure post-licensure." -From the Foreword by Richard C. Kunkel "Well researched and standards based, with activities, worksheets, definitions, and rubrics. Addresses a topic that has been a mystery to assessment gurus." -Marilyn K. Troupe, Director Division of Educator Preparation, Kentucky Education Professional Standards Board At last, a step-by-step guide for assessing teacher dispositions that addresses national accreditation standards. While school leaders have long sought a definitive tool for assessing teacher affect and dispositions, a practical method for measurement has proven elusive-until now. Assessing Teacher Dispositions presents a conceptual framework that helps educators understand what "appropriate dispositions" are, why it is important to measure them, and how to implement an assessment process in their schools and districts. This indispensable companion to Assessing Teacher Competency introduces the authors' research-based five-step DAATS model, combining user-friendly definitions and guiding questions with an examination of assessment design, planning, instrument development, decision making, and data management. Linked to national standards for best practice set by NCATE, INTASC, and NBPTS, the DAATS approach offers: A step-by-step implementation sequence with worksheets and training activities Examples from preservice and inservice settings A comprehensive assessment system when used with the CAATS model for assessing teacher competency (knowledge and skills) This groundbreaking text offers a field-tested, valid, and reliable process for dispositions assessment that is ideal for schools of education, teacher induction programs, and preservice and inservice training.

This book is a riotous, irreverent account of the people and events that have shaped Britain. Always getting those kings and queens confused? Never sure what happened when? Then you need this book. Inside you'll find rip-roaring stories of power-mad kings, executions, invasions, high treason, global empire building, and forbidden love - not bad for a nation of stiff upper lips! * Revised and expanded to include the historical parliamentary elections of 2010 and the British mission in Afghanistan * Accompanied by access to a timeline and 'Who's Who in British History' section on dummies.com * This new edition contains an 8-page color insert so you can see who, what and where the ensuing historical action takes place

Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950's, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals. Finally, in the late 1960's, Iwasawa [Iw 1 I] . made the fundamental discovery that there was a close connection between his work on towers of cyclotomic fields and these p-adic L-functions of Leopoldt-Kubota.

The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. [Sh 1] [Sh 2], and [Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject useful to them, and so I have decided to publish this short book to make them more widely available. Readers acquainted with the standard theory of abelian varieties, and who wish to get rapidly an idea of the fundamental facts of complex multi plication, are advised to look first at the two main theorems, Chapter 3, 6 and Chapter 4, 1, as well as the rest of Chapter 4. The applications of Chapter 6 could also be profitably read early. I am much indebted to N. Schappacher for a careful reading of the manu script resulting in a number of useful suggestions. S. LANG Contents CHAPTER 1 Analytic Complex Multiplication 4 I. Positive Definite Involutions . . . 6 2. CM Types and Subfields. . . . . 8 3. Application to Abelian Manifolds. 4. Construction of Abelian Manifolds with CM 14 21 5. Reflex of a CM Type . . . . .

ARCHIVE COpy DO NOT REMOVE The public in industrialized countries shows a mounting concern about biological effects of electrical and magnetic fields. As a result, experimental studies on this subject are being published in increasing numbers throughout the world. Prof. H. L. Konig, of the Technical University of Munich, West Germany, a leading expert and pioneer in this field, has written an authoritative text in a lucid style which makes the material also accessible to lay readers. The book describes the effects of natural as well as artificial electromagnetic energies covering the en tire measurable frequency range from the highest frequencies, x-rays, through microwaves, radio waves, and finally extremely low frequency (ELF) waves. Cit ing the evidence from scientific studies in various countries, Konig also appraises the biologic effects of microwaves and high tension power lines, which have become controversial issues in recent years. Other contributions to the book have been made by Prof. Albert P. Krueger, University of California, Berkeley, on air ionization effects and by the mete orologist Walter Sonning on biometeorology, documenting the influence of atmo spheric electrical currents on health and disease. Moreover, the late Dr. Siegnot Lang, a former coworker of Dr. Konig, has contributed to this book."

Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points.

In the present book, we have put together the basic theory of the units and cuspidal divisor class group in the modular function fields, developed over the past few years. Let i) be the upper half plane, and N a positive integer. Let r(N) be the subgroup of SL (Z) consisting of those matrices == 1 mod N. Then r(N)\i) 2 is complex analytic isomorphic to an affine curve YeN), whose compactifi cation is called the modular curve X(N). The affine ring of regular functions on yeN) over C is the integral closure of C j] in the function field of X(N) over C. Here j is the classical modular function. However, for arithmetic applications, one considers the curve as defined over the cyclotomic field Q(JlN) of N-th roots of unity, and one takes the integral closure either of Q j] or Z j], depending on how much arithmetic one wants to throw in. The units in these rings consist of those modular functions which have no zeros or poles in the upper half plane. The points of X(N) which lie at infinity, that is which do not correspond to points on the above affine set, are called the cusps, because of the way they look in a fundamental domain in the upper half plane. They generate a subgroup of the divisor class group, which turns out to be finite, and is called the cuspidal divisor class group."

It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.

The rich variety of Europe's history rolled into one thrilling account. This book takes you on a fascinating journey through the disasters, triumphs, people, power and politics that have shaped the Europe we know today - and you'll meet some incredible characters along the way! From Roman relics to Renaissance, World Wars and Eurovision, European History For Dummies packs in the facts alongside the fun and brings the past alive. * Accompanied by access to a value-add timeline and 'Who's Who in European History' section on dummies.com * This new edition contains an 8-page colour insert so you can see who, what, and where the ensuing historical action takes place.

A belian Varieties has been out of print for a while. Since it was written, the subject has made some great advances, and Mumford's book giving a scheme theoretic treatment has appeared (D. Mum- ford, Abelian Varieties, Tata Lecture Notes, Oxford University Press, London, 1970). However, some topics covered in my book were not covered in Mumford's; for instance, the construction of the Picard variety, the Albanese variety, some formulas concern- ing numerical questions, the reciprocity law for correspondences and its application to Kummer theory, Chow's theory for the K/k-trace and image, and others. Several people have told me they still found a number of sections of my book useful. There- fore I thank Springer-Verlag for the opportunity to keep the book in print. S. LANG v FOREWORD Pour des simplifications plus subs tan- tielles, Ie developpement futur de la geometrie algebrique ne saurait manquer sans do ute d' en faire apparaitre. It is with considerable pleasure that we have seen in recent years the simplifications expected by Weil realize themselves, and it has seemed timely to incorporate them into a new book. We treat exclusively abelian varieties, and do not pretend to write a treatise on algebraic groups. Hence we have summarized in a first chapter all the general results on algebraic groups that are used in the sequel. They are all foundational results.

Dr. Richard B. Patt, one of America's leading cancer pain experts, teams up with science writer Susan Lang to produce a much-needed, sensible handbook for patients and caregivers on all aspects of cancer pain. The authors illuminate the reasons why patients are so often undermedicated, including unfounded fears of addiction, patients thinking they need to tough it out, time-consuming paperwork for doctors who prescribe narcotics, and laws that fail to distinguish between drug abuse and the legitimate employment of narcotics. Lang and Patt demonstrate that properly medicated patients are better able to resume active lives and marshal strength to fight their disease - while those in chronic pain not only suffer, but also may jeopardise their potential for recovery. A Complete Guide to Relieving Cancer Pain and Suffering enables cancer patients to make informed decisions about their care and gives numerous, concrete suggestions on how patients and their families can work most efficiently and effectively with doctors. This volume will be of enormous value to the growing numbers of patients, family members, and health-care professionals who are determined to relieve needless cancer pain.

Mild depressions are so insidious that sufferers often don't seek help. However persistent mild depression, which afflicts up to 35 million Americans, can be readily and permanently cured. This book shows how chronic mild depression can be relieved by learning strategies that help us to recognise negative and distorted thinking patterns that lead to a downward spiral of pessimism. It reveals that a combination of medication and therapy has been shown to be the most effective treatment for mild depression, with an impressive 85% of patients experiencing full relief. It discusses when you should seek help from a therapist and what kinds of therapy work best. It outlines the antidepressants that are helpful for both mild and severe depressions, detailing each drug's strength and weakness, and examine alternative therapies, including stress management (meditation, relaxation, massage, biofeedback), physical exercise, acupuncture, supplements, and other mind/body therapies. Finally, the book provides in-depth discussions of mild depression in children, adolescents, college students, and elderly parents, as well as those with chronic stress. Throughout, the authors use boxed text and charts to make the key ideas immediately accessible and easy to use. Beating the Blues is an inspiring and empowering book, filled with the information and encouragement you need to turn your life around and begin to feel renewed pleasure and joy.

An ideal double-book package covering the history of Great Britain and the First World War. The History For Dummies collection includes the titles British History For Dummies and First World War For Dummies. Putting history into a perspective, British History For Dummies is an engaging, entertaining and educational trip through time, packing in equal parts fun and facts. Includes an 8 page colour insert. From the Somme to Gallipoli to the home front, First World War For Dummies provides an authoritative, accessible, and engaging introduction to the War to End All Wars. Increase your knowledge of Great Britain and one of the most fundamental events of the 20th Century.

Die Auseinandersetzung im Umweltschutz tiber groBtechnische Risiken, z. B. bei der friedlichen Nutzung der Kernenergie oder neuerdings auch bei der Kohlenutzung (Saurer Regen) sind Ausdruck einer veranderten BewuBtseinslage in der GeselI- schaft. Die Technoiogie-Folgen mtissen starker beriicksichtigt werden. Technische GroBschaden und Umweltkatastrophen find en erhOhte Aufmerksamkeit in der Of- fentlichkeit. Sie werden als von Menschen verursachte Gefahren nicht mehr schick- salhaft wie Naturkatastrophen hingenommen. Verschiedene GroBtechnologien zeichnen sich zwar durch eine hoch entwickelte, qualifizierte Sicherheitstechnologie aus; das Gefahrdungspotential groBtechnischer Systeme hat he ute jedoch GroBen- ordnungen erreicht, daB Storfalle mit katastrophalen Konsequenzen flir Mensch und Umwelt trotz aller Sicherheitsvorkehrungen als entfernte Moglichkeiten prinzi- piell nicht ausgeschlossen werden konnen. Die technische Entwicklung hat uns in neue Dimensionen des Umgangs mit Energie, gefahrlichen Stoffen und anderen mit Gefahren verbundenen System en geflihrt. Lange Zeit wurde kaum wahrgenommen, daB die damit verbundene quantitative VergroBerung der Gefahren zu einer neuen QualiHit technischer Risiken geflihrt hat. Ich sehe daher in der Untersuchung von Risiko-und Sicherheitsfragen konventio- neller und neuer Technologien im Rahmen der F + E-Politik der Bundesregierung eine wichtige Aufgabe. Staatliche ForschungsfOrderung muB dazu beitragen, technologische Entwick- lungen in ihren Zusammenhangen und Auswirkungen zu erkennen, ihre Chancen und Risiken abzuwagen und Entscheidungen tiber die Nutzung von Technologien zu begriinden. Dieser Zieivorstellung dient der Forderschwerpunkt "Risiko-und Sicherheitsfor- schung" beim Bundesminister flir Forschung und Technologie. Forderungsziel ist die Minderung der groBtechnischen Gefahren und die rationale Analyse der ver- bleibenden Risiken. Der Schwerpunkt untersttitzt damit die unter der Zielrichtung "Technologiefolgenabschatzung" laufenden Arbeiten.