Experimental Mathematics With Maple

As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of

Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

夏天的漂鳥，到我窗前來唱歌，又飛去了。秋天的黃葉，沒有歌唱，只嘆息一聲，飄落在那裡。──《漂鳥集》‧1Stray birds of summer come to my window to sing and fly away.And yellow leaves of autumn, which have no songs, flutter and fall there with a sigh.—St

The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an

The IBMYP Mathematics Study Guide Level 3 is tailor-made for students in their third year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highl

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

IBMYP Mathematics Study Guide Level 4 is tailor-made for students in their fourth year of IBMYP studies and aims to build a solid foundation for further studies in Mathematics. Written by our highly e

If you give a pig a pancake, she'll want some syrup to go with it. You'll give her some of your favourite maple syrup, and she'll probably get all sticky, so she'll want to take a bath. She'll ask you for some bubbles. When you give her the bubbles...Ages 0–5

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continu

If a child lives with friendliness, he learns that the world is a nice place in which to live. 如果孩子生活在友善的環境中，他學會以正向積極的態度去面對周遭的世界。 &nbs

The Mathematics: Modeling Our World curriculum is founded on the principle that mathematics is a necessary tool for understanding the physical and social worlds in which we live. This is not the same

《數學小史》用親切易懂的語言，帶領讀者走進數學的歷史長河，從古埃及與巴比倫時期，一路走到現代密碼學與數學理論的發展。書中不只介紹牛頓、帕斯卡等熟悉的名字，也細細描寫中國、阿拉伯、日本等地的數學成就，更特別介紹女性數學家的貢獻。這是一本融合人文與科學的溫暖數學故事書，適合對數字與知識充滿好奇的你。A lively, accessible history of mathematics throughout the ages and across the globeMathematics is fundamental to our daily lives. Science, computing, economics—all aspects of modern life rely on some kind of maths. But how did our ancestors think about numbers? How did they use mathematics to explain and understand the world around them? Where do numbers even come from?In this Little History, Snezana Lawrence traces the fascinating history of mathematics, from the Egyptians and Babylonians to Renaissance masters and enigma codebreakers. Like literature, music, or philosophy, mathematics has a rich history of breakthroughs, creativity and experimentation. And its story is a global one. We see Chinese Mathematical Art from 200 BCE, the invention of algebra in Baghdad’s House of Wisdom, and sangaku geometrical theorems at Japanese shrines. La

★美國總統國家與社會貢獻獎金獎得主★ 韓秀　傾情鉅獻 從一畫成名驚天下，到窮愁潦倒無人問 他是時代的孤勇者，更是西方藝術史的先行者 林布蘭（Rembrandt, 1606-1669）生於荷蘭萊登，以色彩鮮明的版畫與精湛的銅版蝕刻技術聞名於世，為巴洛克時期最具代表性的藝術家之一。早期善於以「明暗對照法」繪製栩栩如生的肖像，例如《杜爾普教授的解剖課》，他也因此畫一舉成為當時阿姆斯特丹最富有的人之一。 但好景不長，因為受妻兒接連過世的打擊，1640年之後，林布蘭的畫筆不再濃墨重彩，他的畫布變得灰暗，人物形象追求自然、更加忠於原貌──但這樣的轉變卻也讓他從此跌落畫壇。 荷蘭的風帆正在黃金時代的浪潮中駛向全世界，林布蘭的人生卻陷入了暗無星月的夜晚。因為不符合審美潮流，幾乎沒有人再肯委託他作畫，財務狀況每下愈況；到了人生的終章，林布蘭甚至必須割愛珍貴的異國收藏、不斷遷居，過世時幾乎可說是身無分文、窮愁潦倒…… ═════ 林布蘭畫布下的故事 ═════ ♦《夜巡》（The Night Watch） ──世界三大油畫之一，為何當年會被裁剪、焚毀、謾罵百年？ ♦《猶太新娘》（The Jewish Bride） ──讓梵谷為之瘋狂的詩意之作，訴說林布蘭一生最重要的女人 ♦《杜爾普教授的解剖課》（The Anatomy Lesson of Dr. Nicolaes Tulp） ──杜爾普教授是誰？一窺十七世紀荷蘭的醫學片段 ♦《克勞迪‧基維里斯密謀起義》（The Conspiracy of the Batavians under Claudius Civilis） ──只餘下草圖的偉大畫作，究竟是得罪了何人？ ♦《雅各與天使角鬥》（Jacob Wrestling with the Ange） ──無比經典的聖經故事，也是林布蘭一生心志的寫照…… 「我的身心為之一震，彷彿有一塊巧奪天工的色彩撲面而來。」 「當沉溺於心中的夢想時，他失去了一切，但同時，他也得到了一切。」 「終其一生他都生活在一個虛幻的世界中，這個世界有著無限的美麗和完滿，以至於世人只能聳聳肩，帶著惡意與嫉妒的嗤笑，不予理睬

9786263072350 樹的透視書了解樹的不同部位怎麼分工合作、讓樹持續成長，並探索樹如何以各種方式協助人類與動物。樹太神奇了，快準備好翻開書吧！ 從樹頂到根尖，樹木裡面充滿了驚奇的小祕密！本書運用特殊的透明頁設計，一層一層剖析大樹生態系，帶領讀者認識身邊的樹木，看樹木隨著季節發生的變化，以及如何提供棲所給各種動物。9781474992145 Usborne Book and Jigsaw: Tree of Life (300片拼圖+16頁小書)A beautiful Tree of Life Jigsaw Puzzle accompanied by a 16pp book that explores the whole tree of life from microscopic bacteria to whole rainforest ecosystems, packed with information about how life works, what makes a living thing, and all sorts of the Earth’s amazing plants and animals.300片拼圖+16頁小書拼圖完成尺寸59*40公分

Franny K. Stein is back with another laugh-out-loud experimental adventure in the ninth book in the Mad Scientist series from Jim Benton, the New York Times bestselling author-illustrator of the Dear

A tender father-and-son story about the passage of time, the change of seasons, and the excitement of reaching a goal.Eager for maple syrup, Ethan can’t wait till sugaring time rolls around. And he ca

Build early mathematics skills like counting, number recognition, understanding relative quantity and size, and more with Number Circus!. This large, sturdy lift-the-flap book teems with humorous vign

Enhance students' critical-thinking skills in grades K-12 using high-interest mathematics content. This classroom resource provides leveled text-dependent questions to support students as they examine

Take your students on a year-round problem-solving adventure with thematic units that hone in on the key skills needed to meet today's standards. With the changes in mathematics standards, teachers ne

Take your students on a year-round problem-solving adventure with thematic units that hone in on the key skills needed to meet today's standards. With the changes in mathematics standards, teachers ne

Take your students on a year-round problem-solving adventure with thematic units that hone in on the key skills needed to meet today's standards. With the changes in mathematics standards, teachers ne

Numbers can be magical things, and Wizard Plusminus will show you how! With fun pops, flaps and spinners to pull and turn, everyday mathematics becomes extraordinary. Try your luck on the magic roulet

A gem of German Romanticism, this literary landmark continues to enchant readers with its combination of poetic and fairy tale elements. The young hero of this unfinished experimental novel envisions

In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk measures including VAR, coherence, market efficiency, rationality and the modelling of actuarial liabilities. Each topic is clearly explained with assumptions, mathematics, limitations, problems and solutions presented in turn. Joshi's trademark style of clarity and practicality is here brought to classical financial mathematics. The book is suitable for mathematically trained students in actuarial studies, business and economics as well as mathematics and finance, and it can be used for both self-study and as a course text. The authors' experience as both academics and practitioners brings clarity and relevance to the book, whilst ensuring that the limitations of models are highlighted.

In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change mathematics. The subject was the mystery of prime numbers. At the heart of the presenta

?This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, foun

Understand the role of mathematics in biology with MODELING THE DYNAMCICS OF LIFE: CALCULUS AND PROBABILTY FOR LIFE SCIENTISTS, 3E, International Edition! Designed to demonstrate the importance of mat

IBMYP Mathematics Level 5 Study Guide is tailor-made for students in their final year of IBMYP studies and provides a solid foundation for further studies in the IB program. Written by our highly expe

Mathews (California State U.-Fullerton) and Howell (Westmont College) present a textbook for students in mathematics, physics, and engineering at the junior or senior undergraduate level who have comp

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

Sam is back in Edinburgh with his brilliant uncle, inventor Professor Ampersand, and cousins Zara, Ben and friend Marcia. Their efforts to build an experimental flying boat leads to a dramatic discove

A laugh-out-loud new illustrated chapter book series celebrating the roller coaster highs and lows of life in a second grade classroom.It's the second week of school, and Buddy is wondering if the other second grade class might be more fun. They've even chosen a cool class name. How will his class ever compete? Especially when Ms. Maple says they shouldn't be competing at all?In the second installment of this new chapter book series, Buddy and Bea are still sorting out how to coexist--and making plenty of hilarious missteps along the way.

Travelling from zero to infinity and back again via algebra, polygons, probability and averages, friendly (but silly) robots guide the reader through the weirdness of mathematics. With up to 300 fascinating facts and 150 riotous gags, this engaging and hilarious book teaches readers why maths is so much weirder than they first thought

Named with a simple word meaning ‘cloth’, NUNO is one of Japan’s most important textile-design companies. Founded in 1984 by the legendary Junichi Arai and the company’s current director, Reiko Sudo, it is recognized as one of the world’s most innovative textile producers. Known for weaving together tradition and cutting-edge technology, NUNO designers are inspired by the past, present and future, integrating unexpected elements, such as paper or feathers or aluminium, with industrial methods, such as spatter-plating and chemical etching.All NUNO textiles – more than 2,500 have been created – are produced in Japan and are usually the handiwork of an individual craftsperson. Each bolt of cloth has a story to tell. Though their textiles appear regularly in books, textile exhibitions and museum collections, a comprehensive NUNO monograph has not existed - until now.Featuring the most outstanding, influential or experimental fabrics, the book is organized into seven chapters, each based on

兩河流域的算術泥板、搜尋引擎、巡航定速…數學早已是人類文明進程中的要角。斯德哥爾摩大學最年輕的博士Stefan Buijsman以趣味十足，引人入勝的筆法，向讀者解釋生活中無處不在的數學概念，及數學與哲學、心理學、歷史背後的關聯。Thousands of years ago the inhabitants of Mesopotamia became the first to use numbers. Since then, mathematics has been unstoppable. It's behind almost everything, from search-engines to cruise-control, from coffee-makers to timetables.But now that we hardly ever need to do arithmetic, how relevant is mathematics to everyday life? Pluses and Minuses demonstrates the role mathematics plays in human endeavour. It answers questions such as: What is life without numbers? Is the usefulness of mathematics mere chance? How can we get a grip on uncertainty? Stefan Buijsman's richly entertaining guide makes connections between philosophy, psychology and history, while explaining the wonderful world of mathematics for absolutely everyone.Born in 1995, Stefan gained a master's degree in philosophy in Leiden at the age of eighteen, after which he moved from Sweden to work on a PhD. Wi

Longlisted for Blue Peter Book Awards 2022WINNER OF THE EDWARD STANFORD CHILDREN'S TRAVEL BOOK OF THE YEAR 2022A SUNDAY TIMES CHILDREN'S BOOK OF THE WEEK Dive beneath the waves with this spell-binding adventure of friendship, forgiveness and bravery, set on the shores of Papua New Guinea, perfect for fans of Katherine Rundell and Eva Ibbotson. "I want to be able to call the sharks. Teach me the magic and show me the ways."Blue Wing is desperate to become a shark caller, but instead she must befriend infuriating newcomer Maple, who arrives unexpectedly on Blue Wing's island.At first, the girls are too angry to share their secrets and become friends. But when the tide breathes the promise of treasure, they must journey together to the bottom of the ocean to brave the deadliest shark of them all... "The most incredible story...tender and wise, with themes of friendship, love, grief, revenge and acceptance." Michelle Harrison"Magnificent and beautiful." Sophie Anderson

Trees are one of humanity's most constant and most varied companions. From India's sacred banyan tree to the fragrant cedar of Lebanon, they offer us sanctuary and inspiration - not to mention the raw materials for everything from aspirin to maple syrup. In Around the World in 80 Trees, expert Jonathan Drori uses plant science to illuminate how trees play a role in every part of human life, from the romantic to the regrettable.Stops on the trip include the lime trees of Berlin's Unter den Linden boulevard, which intoxicate amorous Germans and hungry bees alike, the swankiest streets in nineteenth-century London, which were paved with Australian eucalyptus wood, and the redwood forests of California, where the secret to the trees' soaring heights can be found in the properties of the tiniest drops of water. Each of these strange and true tales - populated by self-mummifying monks, tree-climbing goats and ever-so-slightly radioactive nuts - is illustrated by Lucille Clerc, taking the rea

Unmanning studies the conditions that create unmanned platforms in the United States through a genealogy of experimental, pilotless planes flown between 1936 and 1992. Characteristics often attributed

This classic by one of the 20th century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it emplo