Introduction To The Geometry Of Complex Numbers

This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence of questions which will enable the reader, through his or her own participation, to generate all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationship to three-dimensional isometries are covered, and the climax of the book is a study of crystallographic groups, with a complete analysis of these groups in two dimensions.

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

This radical revision of Professor Bullen's acclaimed and widely used text provides an introduction to modern seismological theory, with emphasis on both the physical models and the mathematical descriptions of earthquakes and their sources. The essential core of the earlier editions has been retained, particularly the tensor treatment of elasticity, seismic wave travel-time analysis and density in the Earth, although these parts of the text have been brought up to date and expanded. The new part of the book reflects on how the study of earthquakes, seismic waves and seismic risk has been broadened in the past two decades. Thus, this edition includes introductory theory of earthquake sources, seismic wave travel through complex geological zones and viscous and anisotropic media, vibrations of the whole Earth, strong-motion seismology and earthquake prediction and risk. There is an emphasis on statistical and numerical procedures and problems of resolution in inverse theory. Modern clas

This comprehensive and self-contained account of the extrinsic geometry of algebraic curves applies the theory of linear series to a number of classical topics, including the geometry of the Reimann t

This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

This book is a literary-historical study of the Mishneh Torah, Maimonides' great Code of Jewish law, organized around five characteristics repeatedly emphasized by Maimonides himself: codificatory for

This graduate-level text offers a concise but wide-ranging introduction to methods of approximating continuous functions by functions depending only on a finite number of parameters. It places particu

The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recen

Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own me

This classic study probes the geometric interrelationships between art and life in discussions that range from Plato, Pythagoras, and Archimedes to modern architecture and art. Other topics include&n

Like the other Cambridge Bible Commentary volumes, this contains an introduction followed by the texts of the N.E.B. translation divided into sections. Each section of the text is followed by the commentary upon it. Mr Surdy discusses the the content, structure and authorship of the book, pointing to material from two distinct periods: 500–400 BC and some 500 years earlier.

Comprehensive coverage of the special theory (frames of reference, Lorentz transformation, relativistic mechanics of mass points, more), the general theory (principle of equivalence, Riemann-Christof

Explores concept of probability, surveys rules for addition and multiplication of probabilities, conditional probability, total probability, Bayes formula, Bernoulli's scheme, random variables, the C

The famous articles, dating from 1895–7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordina

?Among books of similar scope, this is the recognized classic. Those who read this book will have the strange privilege of thinking things together in the law from the beginning of world history to t

This book contains a set of axioms for differential geometry and develops their consequences up to a point where a more advanced book might reasonably begin. Analytical operations with co-ordinate systems are continually used in differential geometry, a typical process being to 'choose a co-ordinate system such that …' It is therefore natural to state the axioms in terms of an undefined class of 'allowable' co-ordinate systems, and to deduce the properties of the space from the nature of the transformations of co-ordinates permitted by the axioms. These earlier axioms are found to be adequate for the differential geometry of an open simply connected space, the most elementary theorems of which occupy the greater part of Chapters III–V. The more general axioms, in terms of allowable co-ordinate systems and without restrictions on the connectivity of the space, are given in Chapter IV.

Macroeconomics offers a modern and comprehensive introduction to the tools and methods that define contemporary graduate training in the field. Written for first-year PhD students and advanced MA/MS students, the book provides a rigorous yet accessible foundation in dynamic optimization, recursive methods, competitive equilibrium, stochastic modelling, and welfare analysis. It emphasizes clarity and intuition, guiding readers through the logic of intertemporal decision-making that underlies modern macro theory. A key feature of the text is its explicit connection to data. Throughout the book, theory is used to interpret empirical patterns, illustrating how macroeconomic models help us understand real-world behavior and policy-relevant facts. Quantitative and computational tools are integrated throughout to show how models are taken to the data. The book develops frameworks with heterogeneity and frictions, including incomplete markets, borrowing constraints, labor-market search frictio

A special gift book with 22 beautiful colour prints by Tove Jansson – one of the 20th century's most celebrated illustrators and the creator of the Moomins – plus quotes and facts.A beautifully packaged collection of Tove Jansson’s illustrations showcased alongside mindful and profound quotes from her books, letters and diaries.The Art of Tove Jansson is a special gift book packed full of 22 stunning artwork pieces from the Tove Jansson archive in Helsinki, including book covers, illustrations and paintings – a wonderful introduction to Finland's best-loved artist and one of the foremost illustrators of the twentieth century. Printed on sturdy, high-quality A4 card, each picture can be pulled out and framed, or the book can be read from start to finish to give a history of Tove Jansson's life and work.Tove Jansson’s art, creative vision and philosophy have led her to become one of the world’s most treasured authors and illustrators. Born in Helsinki to artist parents, she is best known

Hamza Yassin takes us on a fact and puzzle packed journey through the seasons in this glorious round the year activity bookHamza's Nature Year is the perfect gift for nature fans!Join nature enthusiast and wildlife cameraman Hamza Yassin as he journeys through the seasons, teaching you about the incredible plants, animals and habitats in the UK. Packed full of activities and activities and illustrated with black and white line illustrations and photos.Hamza will show you how to:*Spot snowdrops and the start of the year* Listen out for birdsong* Help bees through a maze* Complete a spring babies crossword* Colour by numbers* Crack a code to reveal the names of migrating birds* Do a minibeast picture sudoku* A rockpool wordsearch,* Work out who did which poo. . . and that's just for starters!

This book will make you ROAR with laughter! Discover facts about escaping penguins, farting zebras, leaping dolphins, snorting elephants, dancing bears and more – all connected in weird and wonderful ways."Theclever connectionsthroughout the book are enhanced by thewonderful drawings and stunning photographs. Readers are also given the opportunity to move away from the broken lines to turn to noted page numbers about other interconnected topics." -Kathryn Beilby, ReadPlusDid you know:That beavers have orange teeth?That some monkeys floss their teeth using bird feathers?That one species of birdcan walk underwater?That alligators stay underwater for longer by swallowing rocks?That sea otters use rocks to crack open prey?Welcome toAnimal FACTopia!, a purrfectly amazing world of facts, all of which are verified by Encyclopaedia Britannica.Every fact in this book is connected to the next in a fascinating web of information, where you will leapfrog from topic to topic in surprising and hilar

Return to the world of Truly Devious as Stevie Bell and her friends travel to New York to solve a murder in the next standalone mystery from New York Times bestselling author Maureen Johnson.Stevie might be the greatest teenage detective Ellingham Academy and the world has ever seen, but even she can't figure out what happened with her boyfriend, David. What she needs is a distraction: a good old-fashioned murder. Stevie is much happier dealing with dead people. They're a lot less confusing--they don't send cryptic texts and make out with other girls in British pubs.But then Stevie gets exactly what she wanted when a dead body turns up in the middle of a Manhattan apartment complex, and this one is . . . complicated. Caught in a web of messy alive-people feelings, Stevie finds herself questioning all human connection. Is magnetism only manipulation? Can you trust anyone? Does anyone realize that they're joining a cult--before it's too late? And are things with David really over?Read al

Glass Onion meets Escape from Mr. Lemoncello's Library in this laugh-out-loud, "complex, twisty" (Kirkus Reviews) middle grade mystery about an inexperienced detective who plans to solve a local murder to achieve greatness. Only you can solve the mystery of my murder. Grady Jones has spent nearly all twelve years of his life trying to find a way to be great at something. So when a mysterious note is delivered to his door, addressed to him, asking Grady to solve the murder of his town's reclusive millionaire, Grady believes his search is over. He'll be a Great Detective! The only problem is he is not known for being very observant...or intuitive...or clever. Oh, and he has no idea how to solve a mystery. Luckily, he has some friends who have skills of deduction, and together, they might have the chops to figure out the murderer. Then a stranger also named Grady Jones comes to town, and Grady fears the note might not have been meant for him at all. And if that's the case, how will he eve

A tiny and easily overlooked item--a single hair--unexpectedly discovered in one of the great treasures of a vast museum collection leads the author on a quest to solve one of the most long-standing, highly debated mysteries of American history. A team of outstanding scientists, historians, genealogists, and anthropologists over the course of fifteen years use the most innovative methods of documentary, forensic, and DNA research to follow the evidentiary trail in pursuit of the truth. Along the way the team encounters and overcomes numerous challenges, invents new techniques, and makes new discoveries and startling breakthroughs. The results are not only revealing of America's national past but also provide meaningful insights for bringing people together today, especially those inheritors of a contested historical legacy. This is a frank, lively, and stirringly readable account of how exemplary researchers go about their work in a high-stakes, complex environment, enlisting the most

Elon Musk、Peter Thiel、Alexander Karp，這些科技巨頭如今不只影響科技產業，也逐漸成為美國國家安全領域的重要人物。資深國安記者 Sharon Weinberger 透過深入且獨家採訪，追溯美國軍方、情報機構與矽谷長久以來的密切關係，揭示一個由科技企業主導的新「軍事工業複合體」如何形成。從反恐戰爭到 Donald Trump 執政時期，國防科技的重心逐漸移向私人企業。SpaceX、Palantir、Anduril 等公司提供 AI、雲端運算、無人機與先進武器技術，也因此取得前所未有的影響力。本書關注的不只是科技如何改變戰爭，更進一步分析：當原本由政府掌握的關鍵技術轉入少數企業與億萬富豪手中，美國民主、國家安全與全球權力平衡將面臨哪些改變。Drawing on deep, exclusive reporting, a veteran national security correspondent reveals how a new military-industrial complex is arising from the cradle of Silicon Valley, with vast implications for American democracy and the global balance of power.Elon Musk, Peter Thiel, and Alexander Karp. These tech titans are fast becoming some of the most powerful figures in the realm of national security, with enormous implications for us all. As Sharon Weinberger reveals in this gripping account, the American military and spy agencies helped to create Silicon Valley as we now know it, and some of its biggest and most valuable companies today owe much of their suc

This accessible biography of Maya Angelou provides readers an ideal introduction to the life and times of one of America''s most beloved and influential Black artists.Maya Angelou: A Life in American History explores the life of one of the most significant figures of the 20th century. Chronological chapters chart major events in Angelou’s life, examining how these events influenced her personally and professionally. Her life is also deeply situated within the social and cultural context of her time, with an examination of the impact of era-defining events such as the Harlem Renaissance and civil rights movement.Through this biography, readers will understand how Angelou has shaped and continues to influence Black culture and American history, with an enduring legacy of artistry and meaningful social activism that continues to inspire millions of Americans and many more around the world.To enrich and consolidate understanding, the work includes a timeline of key events in Angelou''s li

無QR Code音檔版本Make learning fun with Bizzy Bear! This interactive board book is perfect for teaching basic words, items, concepts, and more. With thirty flaps to lift and over five hundred words featured in this large-format board book, Bizzy Bear fans will love to pore over the many new words and pictures they'll encounter inside. Color-coded thumb tabs make page turns easy for little hands as readers flip between spreads of numbers and colors, daily routines, a construction site, and even a firefighting scene! With more than twenty-two million copies sold worldwide, Bizzy Bear has become the best companion for any adventure.

想知道一個征服了英格蘭的殘暴國王，私底下的日記都寫些什麼嗎？《征服者威廉的秘密日記》（William the Conqueror's Secret Diary）將帶你跨越時空，深入這位 extraordinary（同時也相當 Horrible）歷史巨頭的內心世界。全書配有滿滿的生動插圖，完全由威廉本人的傲慢視角出發，毫無保留地披露了他形塑一生與改變中世紀歷史的關鍵時刻：從他如何一路逆襲登基為諾曼第公爵、與教會之間的明爭暗鬥、跟法蘭西人的血腥廝殺、到與妻子瑪蒂達（Matilda）的相遇，甚至是他那充滿內鬥與背叛的家族八卦，以及最關鍵的 1066 年「黑斯廷斯戰役」內幕……日記一路貼身記錄，直到 1087 年他生命的終點。透過這本絕對真實（某種程度上啦！）且引人入勝的私密日記，讀者將無痛進入英國歷史上最動盪、最關鍵的轉折年代！From the bestselling team behind Horrible Histories! It's time to delve into the totally true (sort of) and incredibly intriguing pages of William the Conqueror's Secret Diary. Terry Deary steps into the mind of one of history's most annihilating kings, bringing you William the Conqueror's thoughts on: the Normans! England! Matilda! the French! military! the Church! battles! Hastings! Horrible Histories' Secret Diaries of the most extraordinary (and Horrible) characters of all time will blow your mind. Horrible Histories' Secret Diaries are the perfect introduction to important figures from history.Fully illustrated throughout

Discover the wonderful world of food, from sushi to strawberries, in this bumper-length mini board book.Small, sturdy, and full of fun. Little hands love Chock-a-Block board books!This robust miniature board book features 50 pages filled with food and funny characters. There’s so much to see, with each revisit a child will find more to explore.Someone’s feeling hungry! What can they eat? Peas? Pizza? Croissants? Kimchi? There’s a world of flavour and colour in this playful introduction to the foods a little one might encounter. Japanese-American illustrator Anna Watanabe’s funny and colourful illustrations are a treat for babies and toddlers.Inspired by a popular Japanese board book format, Chock-a-Block books are perfectly sized for little hands – ideal for reading, stacking, flipping and sharing, at home or on the go.

"Richly nuanced and beautiful. . . . An immersive and magical tale of loneliness, love, and finding hope."--Buzzfeed"A layered novel of many complex characters. . . .To keep their worlds safe, Chava and Ahmad must access both their greatest supernatural powers and their deepest human impulses."--Historical Novels ReviewIn this enthralling historical epic, set in New York City and the Middle East in the years leading to World War I--the long-awaited follow-up to the acclaimed New York Times bestseller The Golem and the Jinni--Helene Wecker revisits her beloved characters Chava and Ahmad as they confront unexpected new challenges in a rapidly changing human world, now available as a limited Olive Edition from Harper Perennial.Chava is a golem, a woman made of clay, who can hear the thoughts and longings of those around her and feels compelled by her nature to help them. Ahmad is a jinni, a restless creature of fire, once free to roam the desert but now imprisoned in the shape of a man. F

On a lovely sunny day, a group of friends discovers something very unusual . . . It's big. It's got leaves. It's in their way. What is it? A giant parsnip! In this adorable story from the creator of Friends and The Suitcase, a group of children use their imagination to turn a giant parsnip into a delicious dinner for them all to share. Each page has something to count and spot as the book introduces the numbers one to ten. Perfect for little ones who are learning to count, this cosy and classic book introduces numbers and celebrates the joy of working and playing together. Includes a recipe for parsnip soup for families to try at home!

An award-winning behavioral scientist offers a paradigm-shifting, empowering playbook for staying rooted and thriving as our true selves."Just be yourself” is popular advice that most of us hear throughout our lives. But what sounds like simple wisdom is much more complex in today’s world. All too often, we feel a gap between our private selves and how we behave and appear to others in our work and in our relationships. How can we avoid feeling “fake?” And how do we reconcile our instinctive need for belonging with our simultaneous desire to express our authenticity? Behavioral scientist Dr. Patricia Hewlin explores the delicate dance between authenticity and conformity we navigate daily by drawing from her decades of research. As she uncovers, the pressure to be “real” can be as debilitating as the pressure to stay silent and conform. When we swing too far in either direction, we become drained, plagued by self-doubt, and disengaged. In Staying True to You, Hewlin introduces the break

This book delves into the complex narratives surrounding the ongoing Israeli-Palestinian dispute through the unique lens of theatre. This ground-breaking exploration employs postcolonial theory to analyze a diverse array of theatrical works by Israeli, Palestinian, and Western playwrights. By juxtaposing portrayals of significant events such as the Nakba or the Israeli War of Independence, the Intifadas, and the experiences of diaspora and exile, Harras provides a nuanced examination of how these events are represented on stage. The book reveals the profound impact of language in constructing and contesting historical narratives and underscores theatre's role as a space for cultural critique and self-reflection. This comprehensive study offers new insights into the power of artistic expression to challenge historical dichotomies and encourage a deeper understanding of this enduring conflict. Essential for scholars of Postcolonial Studies, Middle East Studies, and the Performing Arts, t

本書以當代臺灣佛教為研究對象，從歷史發展與宗教實踐的脈絡中，探討臺灣本土佛教佛陀觀的形成與轉變。研究指出，臺灣佛教徒對佛陀的理解，已不再侷限於歷史性的釋迦牟尼佛，而是隨著大乘佛教思想的開展，逐步形成涵攝法身佛與多佛思想的佛陀觀。本書結合田野調查與佛教典籍，從歷史源流的角度出發，分析傳統漢傳佛寺、人間佛教、藏傳佛教與南傳佛教之佛陀觀及其實踐形態，呈現當代臺灣佛教多元交織的面貌。在佛教全球化發展的趨勢之下，期盼本書所作之初步耕耘，能為佛陀觀與多佛思想之研究提供參考。 本書結合田野調查與佛教典籍，從歷史源流分析傳統佛寺、人間、藏傳與南傳佛教之佛陀觀與實踐，呈現當代臺灣佛教多元交織的發展樣貌，面對佛教全球化的發展趨勢，期盼本書能為佛陀觀、多佛思想及當代臺灣佛教研究，提供一項具有參考價值的成果。

Learn colours with Pip and Posy in this early learning board book illustrated by Axel Scheffler!Learning to recognise colours is an important step in a child’s development, supporting their language learning as they get ready for preschool. This bright book is designed to encourage children to learn the words to the colours they see all around them, teaching them vital early learning skills.There are lots of Pip and Posy books to collect, including: It’s Fun to Learn Numbers, Where are you? On the Farm and My First Memory Game: Play Hooray!

Entertaining insight into the complex topic of the digestive system through a series of gut character comic stripsIn Adventures of the Gut discover what happens when you eat - from the moment food touches your tongue to its epic journey through your body. Find out what organs make up the digestive system, the importance of eating healthily and the garden in your gut.Each book in this series focuses on a certain part of the human body, using the body part as an approachable cartoon character in a series of relatable everyday situations. This blending of simple scientific explanation with cartoon artwork makes the science highly accessible. Comic strips are interspersed with explanation spreads to consolidate the learning, too. Perfect for readers age 8+ or anyone wanting their first book about the digestive system!Books in the series:Adventures of the LungsAdventures of the HeartAdventures of the GutAdventures of the SkeletonDon't miss the incredible Adventures of the Brain series, and