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Explorations in Complex Functions

Explorations in Complex Functions

Richard Beals; Roderick S. C. Wong

Springer Nature Switzerland AG
2020
sidottu
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give riseto Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
Explorations in Complex Functions

Explorations in Complex Functions

Richard Beals; Roderick S. C. Wong

Springer Nature Switzerland AG
2021
nidottu
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give riseto Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
More Explorations in Complex Functions

More Explorations in Complex Functions

Richard Beals; Roderick S.C. Wong

Springer International Publishing AG
2023
sidottu
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE.The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.
More Explorations in Complex Functions

More Explorations in Complex Functions

Richard Beals; Roderick S.C. Wong

Springer International Publishing AG
2024
nidottu
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis.
An Address to the Army; in Reply to Strictures, by Roderick M'Kenzie, ... on Tarleton's History of the Campaigns of 1780 and 1781
The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.Rich in titles on English life and social history, this collection spans the world as it was known to eighteenth-century historians and explorers. Titles include a wealth of travel accounts and diaries, histories of nations from throughout the world, and maps and charts of a world that was still being discovered. Students of the War of American Independence will find fascinating accounts from the British side of conflict. ++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++British LibraryT110434London: printed for James Ridgway, 1789. xvi,138p.; 8
Information for Henry Davidson of Tulloch, Against Alexander M'Kenzie, Late of the Stamp-office, London, one of the Tutors of Sir Hector M'Kenzie of Gairloch, Kenneth M'Kenzie, Uncle by the Father's Side, Roderick M'Kenzie of Red-castle
The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.This collection reveals the history of English common law and Empire law in a vastly changing world of British expansion. Dominating the legal field is the Commentaries of the Law of England by Sir William Blackstone, which first appeared in 1765. Reference works such as almanacs and catalogues continue to educate us by revealing the day-to-day workings of society.++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification: ++++Bodleian Library (Oxford)T213015Dated at head of the drop-head title: October 18. 1771. Edinburgh, 1771]. 28p.; 4
Ariadne's Children

Ariadne's Children

Roderick Beaton

St. Martin's Griffin
1996
nidottu
Ancient history, family past, present day - all collide in this intricately woven first novel about three generations of one family, set against seventy years of political turmoil in Europe. At the outbreak of World War I, renowned archaeologist Lionel Richardson flees Sarajevo to begin an excavation at Ano Meri, an ancient palace in Crete. His success there becomes a lifelong obsession for which there is a very high price - one that his family must pay.
Children's Literature and the Fin de Siècle

Children's Literature and the Fin de Siècle

Roderick McGillis

Praeger Publishers Inc
2003
sidottu
The close of a century invites both retrospection and prognostication. As a period of transition, it also brings a sense of uncertainty, finality, and apocalypticism. These feelings stem from various events, such as political turmoil, scientific advancements, and social change. As might be expected, literature reflects such changes and the feelings they engender. But perhaps more surprisingly, children's literature is especially sensitive to such matters, and fiction for children often struggles with dark and unpleasant issues. This book examines fin de siècle tensions in 19th- and 20th-century children's literature from around the world.Each chapter is written by an expert contributor, and the volume ranges over a disparate variety of topics. These include poetry, series books, pacifist fiction, gender issues, religion and literature, eco-criticism, minority experiences, humor and the Holocaust, fantasy and science fiction, and computer culture. In exploring these issues in relation to children's literature, the contributors reveal the shifting nature of our values and the world in which we live. Global in nature, the chapters look at children's literature from such places as Germany, Holland, the United Kingdom, Australia, and the United States.
Hitler's Germany

Hitler's Germany

Roderick Stackelberg

Routledge
2008
sidottu
Praise for the first edition:'This is an important new textbook on the Nazi period which is geared to intermediate and advanced undergraduates and will also interest general audiences ... this book is a real winner and deserves wide use.' - Bruce Campbell, German Studies Review 'An excellent job... provides a comprehensive and sophisticated analysis of the origins of National Socialism in Germany, Hitler's rise to power, and the nature of the Nazi regime after 1933... no small achievement.' - David Crew, University of Texas, AustinHitler’s Germany provides a comprehensive narrative history of Nazi Germany and sets it in the wider context of nineteenth- and twentieth-century German history. Roderick Stackelberg analyzes how it was possible that a national culture of such creativity and achievement could generate such barbarism and destructiveness. This second edition has been updated throughout to incorporate recent historical research and engage with current debates in the field. It includes an expanded introduction focusing on the hazards of writing about Nazi Germany an extended analysis of fascism, totalitarianism, imperialism, and ideology a broadened contextualisation of antisemitism discussion of the Holocaust including the euthanasia program and the role of eugenics new chapters on Nazi social and economic policies and the structure of government as well as on the role of culture, the arts, education and religion additional maps, tables, and a chronology a fully updated bibliography. Exploring the controversies surrounding Nazism and its afterlife in historiography and historical memory, Hitler’s Germany provides students with an interpretive framework for understanding this extraordinary episode in German and European history.
Hitler's Germany

Hitler's Germany

Roderick Stackelberg

Routledge
2008
nidottu
Praise for the first edition:'This is an important new textbook on the Nazi period which is geared to intermediate and advanced undergraduates and will also interest general audiences ... this book is a real winner and deserves wide use.' - Bruce Campbell, German Studies Review 'An excellent job... provides a comprehensive and sophisticated analysis of the origins of National Socialism in Germany, Hitler's rise to power, and the nature of the Nazi regime after 1933... no small achievement.' - David Crew, University of Texas, AustinHitler’s Germany provides a comprehensive narrative history of Nazi Germany and sets it in the wider context of nineteenth- and twentieth-century German history. Roderick Stackelberg analyzes how it was possible that a national culture of such creativity and achievement could generate such barbarism and destructiveness. This second edition has been updated throughout to incorporate recent historical research and engage with current debates in the field. It includes an expanded introduction focusing on the hazards of writing about Nazi Germany an extended analysis of fascism, totalitarianism, imperialism, and ideology a broadened contextualisation of antisemitism discussion of the Holocaust including the euthanasia program and the role of eugenics new chapters on Nazi social and economic policies and the structure of government as well as on the role of culture, the arts, education and religion additional maps, tables, and a chronology a fully updated bibliography. Exploring the controversies surrounding Nazism and its afterlife in historiography and historical memory, Hitler’s Germany provides students with an interpretive framework for understanding this extraordinary episode in German and European history.
Mao’s Last Revolution

Mao’s Last Revolution

Roderick MacFarquhar; Michael Schoenhals

The Belknap Press
2008
nidottu
The Cultural Revolution was a watershed event in the history of the People’s Republic of China, the defining decade of half a century of communist rule. Before 1966, China was a typical communist state, with a command economy and a powerful party able to keep the population under control. But during the Cultural Revolution, in a move unprecedented in any communist country, Mao unleashed the Red Guards against the party. Tens of thousands of officials were humiliated, tortured, and even killed. Order had to be restored by the military, whose methods were often equally brutal. In a masterly book, Roderick MacFarquhar and Michael Schoenhals explain why Mao launched the Cultural Revolution, and show his Machiavellian role in masterminding it (which Chinese publications conceal). In often horrifying detail, they document the Hobbesian state that ensued. The movement veered out of control and terror paralyzed the country. Power struggles raged among Lin Biao, Zhou Enlai, Deng Xiaoping, and Jiang Qing—Mao’s wife and leader of the Gang of Four—while Mao often played one against the other.After Mao’s death, in reaction to the killing and the chaos, Deng Xiaoping led China into a reform era in which capitalism flourishes and the party has lost its former authority. In its invaluable critical analysis of Chairman Mao and its brilliant portrait of a culture in turmoil, Mao’s Last Revolution offers the most authoritative and compelling account to date of this seminal event in the history of China.
Aepinus's Essay on the Theory of Electricity and Magnetism

Aepinus's Essay on the Theory of Electricity and Magnetism

Roderick Weir Home

Princeton University Press
2015
pokkari
First published in St. Petersburg in 1759, F.U.T. Aepinus's Tenuimen theoriae electricilatis el magnetismi was one of the outstanding achievements of eighteenth-century physics. Its rigorous mathematical investigation of electricity and magnetism was an important and innovative departure from the primarily qualitative and nonmathematical treatments that preceded it. P. J. Connor's translation of the original Latin edition is the first to appear in any western European language, and the introductory monograph and notes by R. W. Home provide a far more definitive account of Aepinus's life and work than has heretofore been attempted. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Aepinus's Essay on the Theory of Electricity and Magnetism

Aepinus's Essay on the Theory of Electricity and Magnetism

Roderick Weir Home

Princeton University Press
2016
sidottu
First published in St. Petersburg in 1759, F.U.T. Aepinus's Tenuimen theoriae electricilatis el magnetismi was one of the outstanding achievements of eighteenth-century physics. Its rigorous mathematical investigation of electricity and magnetism was an important and innovative departure from the primarily qualitative and nonmathematical treatments that preceded it. P. J. Connor's translation of the original Latin edition is the first to appear in any western European language, and the introductory monograph and notes by R. W. Home provide a far more definitive account of Aepinus's life and work than has heretofore been attempted. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.