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Lectures on Poisson Geometry

Lectures on Poisson Geometry
Author: Marius Crainic
Publisher: American Mathematical Soc.
Total Pages: 479
Release: 2021-10-14
Genre: Education
ISBN: 1470466678

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This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto


Learn from the Masters

Learn from the Masters
Author: Frank Swetz
Publisher: American Mathematical Soc.
Total Pages: 303
Release: 1995-12-31
Genre: Mathematics
ISBN: 1470458284

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This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.


All the Mathematics You Missed

All the Mathematics You Missed
Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
Total Pages: 380
Release: 2004
Genre: Mathematics
ISBN: 9787302090854

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Math Lessons for a Living Education Level 1

Math Lessons for a Living Education Level 1
Author: Angela O'Dell
Publisher: New Leaf Publishing Group
Total Pages: 42
Release: 2016-04-06
Genre: Juvenile Nonfiction
ISBN: 0890519234

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Have you ever noticed that we tend to compartmentalize when teaching our children? In real life, there aren’t artificial barriers between “subjects.” For example, when you are cooking or baking, you have to use the skills of reading, logical thinking, and measuring, just to name a few. In driving a car, you see and read road signs, read maps, and count miles. It has become quite clear that there is an abundance of math curriculums available that are nothing but monotonous drill sheets dressed up in pretty colors. Pretty colors do not make a living book. Content, story, and the ability to show math in real life make a living math book. Math Level 1: Teach math lessons through the creative means of a life storyProvides a link for the downloadable answer keyHas a scope and sequence that contains learning numbers 0 to 100, circles and patterns, counting and addition, days of the week, and telling time. This book was written to be used by you and your young student together. It is the story of a twin brother and sister, Charlie and Charlotte, who are visiting their grandparents’ farm. They soon learn that the farm is full of learning opportunities! As you read their story, your students will be drawn into the adventure along with the twins. They will learn about numbers, shapes, place value, adding, and subtracting. They will also learn about gardening, baby animals on the farm, nature, and the love of family. They will hear exciting stories from Grandpa and Grandma, and they will be invited to join the twins on their living math adventures. We hope you have a grand time on this adventure!


101 Careers in Mathematics: Fourth Edition

101 Careers in Mathematics: Fourth Edition
Author: Deanna Haunsperger
Publisher: American Mathematical Soc.
Total Pages: 282
Release: 2019-09-24
Genre:
ISBN: 1470450852

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What can you do with a degree in math? This book addresses this question with 125 career profiles written by people with degrees and backgrounds in mathematics. With job titles ranging from sports analyst to science writer to inventory specialist to CEO, the volume provides ample evidence that one really can do nearly anything with a degree in mathematics. These professionals share how their mathematical education shaped their career choices and how mathematics, or the skills acquired in a mathematics education, is used in their daily work. The degrees earned by the authors profiled here are a good mix of bachelors, masters, and PhDs. With 114 completely new profiles since the third edition, the careers featured within accurately reflect current trends in the job market. College mathematics faculty, high school teachers, and career counselors will all find this a useful resource. Career centers, mathematics departments, and student lounges should have a copy available for student browsing. In addition to the career profiles, the volume contains essays from career counseling professionals on the topics of job-searching, interviewing, and applying to graduate school.


Math Lessons for a Living Education Level 3

Math Lessons for a Living Education Level 3
Author: Angela O'Dell
Publisher: New Leaf Publishing Group
Total Pages: 42
Release: 2016-06-20
Genre: Juvenile Nonfiction
ISBN: 0890519250

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Teach math lessons through the creative means of a life storyProvide 36 weeks of instruction based on skill levels rather than grade levelsGuide students by the use of inexpensive manipulatives, including index cards, dried beans, and construction paper! We often tend to compartmentalize when teaching children. In real life, there aren’t artificial barriers between “subjects.” For example, when you are cooking or baking, you have to use the skills of reading, logical thinking, and measuring, just to name a few. In driving a car, you see and read road signs, read maps, and count miles. So why do we say to children, “This is math, this is language, this is about science and nature, and this is history”? The most natural and effective means to teach children is through life examples. Content, story, and the ability to show math in real life make a living math book!


Masters of Theory

Masters of Theory
Author: Andrew Warwick
Publisher: University of Chicago Press
Total Pages: 586
Release: 2011-04-15
Genre: Science
ISBN: 0226873765

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Winner of the the Susan Elizabeth Abrams Prize in History of Science. When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible in the nineteenth and early twentieth centuries when Britain produced many leading mathematical physicists. In this book, Andrew Warwick shows how the education of these "masters of theory" led them to transform our understanding of everything from the flight of a boomerang to the structure of the universe. Warwick focuses on Cambridge University, where many of the best physicists trained. He begins by tracing the dramatic changes in undergraduate education there since the eighteenth century, especially the gradual emergence of the private tutor as the most important teacher of mathematics. Next he explores the material culture of mathematics instruction, showing how the humble pen and paper so crucial to this study transformed everything from classroom teaching to final examinations. Balancing their intense intellectual work with strenuous physical exercise, the students themselves—known as the "Wranglers"—helped foster the competitive spirit that drove them in the classroom and informed the Victorian ideal of a manly student. Finally, by investigating several historical "cases," such as the reception of Albert Einstein's special and general theories of relativity, Warwick shows how the production, transmission, and reception of new knowledge was profoundly shaped by the skills taught to Cambridge undergraduates. Drawing on a wealth of new archival evidence and illustrations, Masters of Theory examines the origins of a cultural tradition within which the complex world of theoretical physics was made commonplace.


Braid Foliations in Low-Dimensional Topology

Braid Foliations in Low-Dimensional Topology
Author: Douglas J. LaFountain
Publisher: American Mathematical Soc.
Total Pages: 304
Release: 2017-10-20
Genre: Braid theory
ISBN: 1470436604

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Math Lessons For A Living Education Level 4

Math Lessons For A Living Education Level 4
Author: Angela O'Dell
Publisher: New Leaf Publishing Group
Total Pages: 42
Release: 2016-06-20
Genre: Juvenile Nonfiction
ISBN: 0890519269

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Teach math lessons through the creative means of a life storyProvide 36 weeks of instruction based on skill levels rather than grade levelsGuide students by the use of inexpensive manipulatives, including index cards, dried beans, and construction paper! We often tend to compartmentalize when teaching children. In real life, there aren’t artificial barriers between “subjects.” For example, when you are cooking or baking, you have to use the skills of reading, logical thinking, and measuring, just to name a few. In driving a car, you see and read road signs, read maps, and count miles. So why do we say to children, “This is math, this is language, this is about science and nature, and this is history”? The most natural and effective means to teach children is through life examples. Content, story, and the ability to show math in real life make a living math book!


Math Level 2

Math Level 2
Author: Angela O'Dell
Publisher:
Total Pages:
Release: 2016-04-01
Genre:
ISBN: 9780890519240

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Level 2, Grade 2: Scope and sequence includes subtraction, writing numbers to 100, introducing word problems and measurement, and dollars and cents.