Lectures on Hyperbolic Geometry

Focussing on the geometry of hyperbolic manifolds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete, detailed and unified as possible. Foll

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups.This text a

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.

"Lectures on Philosophical Theology is an indispensable addition to Kant's works in English. It has not been previously translated, and even though it is compiled from lecture notes, it provides infor

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.

Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercisesSuccessful

Flavors of Geometry is a volume of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. Growing out of a series of introductory lectures given at the Mathematical Sciences Research Institute in January 1995 and January 1996, the book presents chapters by masters in their respective fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and most of the lectures are richly illustrated. Bibiliographies and indexes are included to encourage further reading on the topics discussed.

Lectures on Electromagnetic Theory provides a concise, self-contained introduction to graduate-level electromagnetic theory, organized for a one-semester course. Written in a "theoretical minimum" style, the text emphasizes clear physical insight and mathematical precision. The five chapters cover Maxwell equations and fundamental theorems; wave propagation, plane-wave expansion, and guided waves; electromagnetic radiation and Green functions; analytical scattering theory for canonical targets; and an introduction to relativistic electrodynamics linking classical electrodynamics with special relativity. The book serves both beginning graduate students and researchers seeking a compact reference.

What's the key to building fluency in Geometry? Practice, practice, practice! The Big Fat High School Geometry Workbook is the newest math title in the Big Fat Workbook series, offering support and practice opportunities for students studying Geometry. The write-in workbook provides recaps of key Geometry concepts and a variety of question types, including short answer, extended answers, and word problems. Plus there is a stepped-out solution for each question. Students love the direct, accessible delivery of Everything You Need to Ace Geometry in One Big Fat Notebook. This workbook takes the same approach of easy-to-understand explanations of key concepts, stepped-out examples, helpful doodles, captions, and hundreds of exercises to provide additional practice of the Geometry concepts students learn in class.

The Big Fat Notebooks go to high school! A lively, fully illustrated guide to acing high school geometry, with clear notes on the big ideas, helpful tips for memorizing processes and remembering defin

Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace–Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject.

這套廣受推崇的《費曼物理學講義》，源自費曼對教學的一場實驗。內容涵蓋牛頓力學、相對論與量子理論，以淺白、生動的方式介紹物理核心概念，是入門學習與珍藏閱讀的經典之作。"The whole thing was basically an experiment," Richard Feynman said late in his career, looking back on the origins of his lectures. The experiment turned out to be hugely successful, spawning publications that have remained definitive and introductory to physics for decades. Ranging from the basic principles of Newtonian physics through such formidable theories as general relativity and quantum mechanics, Feynman’s lectures stand as a monument of clear exposition and deep insight.Timeless and collectible, the lectures are essential reading, not just for students of physics but for anyone seeking an introduction to the field from the inimitable Feynman.

This collection of lectures, talks, and essays focuses on three major composers of the 17th and 18th centuries.

Building on his books since 1988, Ungar (North Dakota U.) explains the current status of analytic hyperbolic geometry, which emerged from Einstein's addition of relativistically admissible velocities.

This book containing lectures and review on Shakespeare’s work has met a need long felt by the Chinese college students, especially those in the department of foreign languages and literature. The life of Shakespeare are well selected and the lectures beautifully written. Thus it will serve not only as an introduction to Shakespeare, but also as a good text-book for those beginners who study Shakespeare both in the Chinese colleges and universities. Professor Lee is to be credited painstaking work in shooting the two birds with one stone. It is really an excellent brief work and a fresh approach to the Shakespearean study. 1. This book containing lectures and review on Shakespeare’s work has met a need long felt by the Chinese college students, especially those in the department of foreign languages and literature. 2. Thus it will serve not only as an introduction to Shakespeare, but also as a good text-book for those beginners who study Shakespeare both in the Chinese colleges and uni

Demystify geometry with this primer on shapes that will have young builders everywhere on to their next towering project.Comical cats and dogs guide kids through the essential characteristics of squar

當那盛大的「普佳」節到來，鄰人的孩子們都來屋子四周玩耍，我要溶化在笛的樂聲中，整天在你心中震盪著。 親愛的姨母將帶著「普佳」的禮物來問：「姊姊，我們的孩兒呢？」媽媽，那麼你輕輕地對她說：「他在我的瞳人中，他在我的身體中，我的靈魂中。」 ──《新月集》‧終結 When, on the great festival of puja, the neighbours' children co

The Great William: Writers Reading Shakespeare consists of seven case studies--based on marginalia, lectures, letters, journals, and reading notes—that capture what happened when Samuel Taylor Colerid

With bright illustrations and clear, kid-friendly language, this book introduces one of the most basic geometric shapes to young readers. Formed of three sides and three angles, triangles are everywhere—especially on the pages of this book, where two kids and their robot friend assemble a brand-new bot from different types and sizes of triangles. This title defines important geometry vocabulary in simple, accessible terms, reinforcing the text with illustrations of the different types of and relationships between triangles. Activities on identifying, measuring, and comparing angles help readers understand these important ideas. Drawing on his years of experience teaching math, David Adler's text thoroughly introduces fundamental mathematical concepts. Colorfully illustrated by nonfiction veteran Ed Miller, this book is perfect for readers just beginning to study shapes and geometry.

Q. D. Leavis was one of the finest critics of the novel. Her published essays appeared as articles and reviews of remarkable trenchancy in Scrutiny (of which she was effectively co-editor with her husband F. R. Leavis), or as lectures or introductions to editions of classics novels. They are here collected and reprinted in three volumes. Volume 1 on the English novel appeared in 1983. Volume 2 collects her lecture 'The American Novel'; essays and lectures on Henry James, Hawthorne, Melville, and Edith Wharton; and the lectures 'The French Novel', 'The Russian Novel', and 'The Italian Novel'. There is an introduction by the editor, Professor G. Singh. All the essays are informed by that broad 'sociological' view of literature that caused Q. D. Leavis to ask how the novel rose and why it flourished. The third and final volume includes material on women writers of the nineteenth century.

匈奴一直是中國北方惱人的外患。經過漢文帝、漢景帝的休養生息之後，漢武帝時終於有能力可以對抗匈奴了。為了聯合月氏夾擊匈奴，漢武帝派遣張騫出使西域。身為中國第一位「外交官」，張騫有什麼樣的心情和眼界呢？他如何克服內心的恐懼，踏入一個完全未知的世界呢？ 關於張騫的記載，在《史記》中只有列在〈大宛列傳〉中的幾筆文字，由於張騫的傳奇色彩，作者特別將張騫和線上遊戲的製作連結，以古今交錯的敘述方式，費心揣摩張

文法其實不只是規則排列，只要您懂得抓住訣竅，它也可以是根釣竿，帶領您 在浩瀚英語大海中遨遊。 常言道：給他魚吃不如教他抓魚。從前的英語文法教學，只講述而不解釋，無 怪乎學生一知半解的多，能活用者少；本書嘗試突破傳統做法，改從紮根做起，帶 領學習者深入英語的源頭，找尋文法的生命力。 舉例來說，您想知道為什麼說on the farm要比in the farm來得自然嗎？ in the hospit

本書打破死背介系詞意義和片語的方式，針對 ．Over/Through/About/Across/By/To/Of.... ．表示場所的In,On,At ．表示時間的In,On,At ．About/Before/During/From/Into/Under/Without.... 先劃出基本圖型，說明各個介系詞的基本意義，再運用「家族樹的臉譜」原理， 將介系詞的各種衍伸用法連繫起來，讓

Karl Theodor Jaspers (February 23, 1883 – February 26, 1969) was a German psychiatrist and philosopher who had a strong influence on modern theology, psychiatry and philosophy. After being trained in

From a July-August 2014 institute of the Mathematical Society of Japan in Tokyo, 13 papers consider hyperbolic geometry and geometric group theory from such perspectives as the recognition problem

Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex anal

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry in the sense of Grothendieck with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and Soulé, extending Arakelov geometry to higher dimensions. It includes a proof of Serre's conjecture on intersection multiplicities and an arithmetic Riemann-Roch theorem. To aid number theorists, background material on differential geometry is described, but techniques from algebra and analysis are covered as well. Several open problems and research themes are also mentioned. The book is based on lectures given at Harvard University and is aimed at graduate students and researchers in number theory and algebraic geometry. Complex analysts and differential geometers will also find in it a clear account of re

《圓覺經》全名《大方廣圓覺修多羅了義經》，透過文殊師利等十二位菩薩與佛陀的問答，宣說如來圓覺妙理，揭櫫一切眾生具足圓覺妙心，是指引如何修行成佛的經典。《圓覺經》廣受唐代天台、華嚴、禪宗、密宗重視，北宋郭印提出佛教四書，清末吳坤修甄選釋氏十三經，它從未缺席，又早早流布高麗與鎌倉時代的朝鮮、日本。該經一卷之薄，允為東亞漢傳佛教「經中之睛」。是次新注新譯，深度利用東亞文獻以校勘、輯佚，紹述唐僧玄奘忠於原典及思想、語言原貌之傳統，從佛學乃至文學角度，予以精當闡釋，化深奧為易懂，內容至簡至要。〈導讀〉一文更明析該經結構、善本、善注、文體，乃至東亞古典時代地位諸議題。研讀佛教經典者，切莫錯過。The Sūtra of Perfect Englightenment 圓覺經, whose full title is The Nītârtha Sūtra on the canon of the great and expansive Perfect Enlightenment (Dà fāngguăng yuánjué xiūduōluó liǎoyì jīng) 大方廣圓覺修多羅了義經, uses a conversation between the Buddha and twelve Bodhisattvas, led by Mañjuśrī, to promulgate the wondrous doctrine of perfect enlightenment. It discloses that all sentient beings have an innate mind of perfect enlightenment, and guides them on how to train to attain Buddhahood. In the Tang dynasty, the Sūtra of Perfect Enlightenment was held in high esteem by the Tiantai, Huayan, Chan, and Vajrayāna (Esoteric) schools. And it was listed in the four Buddhist classics proposed by the Northern Song’s G

A lavish monograph on the esteemed Spanish jewelry designer, whose work celebrates flowers, nature, and geometry, on the occasion of the company's fiftieth anniversary. Called the "queen of plique-?jour," after the historic and rarefied enameling technique, Luz Camino is the first female master jeweler in Spain. Camino had her first international exhibition in 1978, and since then her work has been a conversation with the world around her: everything from birds and flowers and shapes to rubber bands and even pencil shavings has been her muse. The book, the first monograph on Camino's work, showcases more than 200 of her creations, many shown here for the first time. Through images and sketches--organized thematically by nature, geometry, life, and outer space--and an essay by curator Clare Phillips, this book beautifully showcases the sophistication, innovation, and creativity of one most adept jewelers working today.

The 2019 TICST has three keynote lectures by Professor Ovchinnikov Sergei Gennadievich (Kirensky Institute of Physics, Russia), Professor George Grant Hoag (Department of Chemistry, California Insitut

《泡利物理學講義》是理論物理學的一套十分嚴謹、精練的經典教材。現根據MIT出版社1973年出版英譯本（Charles P. Enz主編，S. Margulies和H. R.Lewis合譯的Pauli Lectures on Physics）並參考德文原版翻譯出版，以供我國大學理工科師生參考。

Written in the wake of the advent of Relativity by an author who made important contributions to projective and differential geometry, and topology, this early Cambridge Tract in Mathematics and Theoretical Physics aimed to assist students of the time from the fields of differential geometry and mathematical physics. Beginning by introducing formal preliminaries, the text continues, bringing the underlying differential invariant theory that to this day remains relevant in a range of geometrical and physical applications, to the fore.

The concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in

This richly illustrated book discusses non-Euclidean geometry and the hyperbolic plane in an accessible way. The author provides instructions for how to crochet models of the hyperbolic plane, pseudos

This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star

This is Slappy's world -- You only scream in it!Space-obsessed Murphy Shannon is pumped that his 6th grade class is visiting the Rayburne Observatory. Except, being a know-it-all means he's totally bored with the lectures he has to sit through. So when classmates Orly and Cleo say they should explore on their own, Murphy sneaks out with them. But when they come face-to-face with the strange Dr. Rayburne and his experiments, they realize they may be way in-over-their heads. A grand adventure in space may be in store for them, if they can survive...

A hilariously clever geometry-inspired picture book from acclaimed author Marcie Colleen and popular illustrator Bob Shea. Perfect for fans of Amy Krouse Rosenthal.Ever since they were a dot and a spe

Margaret Hamilton loved numbers as a young girl. She knew how many miles it was to the moon (and how many back). She loved studying algebra and geometry and calculus and using math to solve problems i

IGCSE Mathematics Study Guide id designed for students taking the Ed-excel/ CIE IGCSE Mathematics examination. Following the latest IGCSE topic areas, including number properties, algebra, geometry, t