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The true story that inspired the 2020 film. The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.
Learn math by getting creative with code! Use the Python programming language to transform learning high school-level math topics like algebra, geometry, trigonometry, and calculus! Math Adventures with Python will show you how to harness the power of programming to keep math relevant and fun. With the aid of the Python programming language, you'll learn how to visualize solutions to a range of math problems as you use code to explore key mathematical concepts like algebra, trigonometry, matrices, and cellular automata. Once you've learned the programming basics like loops and variables, you'll write your own programs to solve equations quickly, make cool things like an interactive rainbow grid, and automate tedious tasks like factoring numbers and finding square roots. You'll learn how to write functions to draw and manipulate shapes, create oscillating sine waves, and solve equations graphically. You'll also learn how to: - Draw and transform 2D and 3D graphics with matrices - Make colorful designs like the Mandelbrot and Julia sets with complex numbers - Use recursion to create fractals like the Koch snowflake and the Sierpinski triangle - Generate virtual sheep that graze on grass and multiply autonomously - Crack secret codes using genetic algorithms As you work through the book's numerous examples and increasingly challenging exercises, you'll code your own solutions, create beautiful visualizations, and see just how much more fun math can be!
This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.
The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.
In "The Hidden Genius: A Math Adventure," we follow the inspiring story of Max, a dedicated math teacher, who sets out to find exceptional students to train for the International Math Challenge. Frustrated by his inability to discover the brilliance he seeks, he stumbles upon Rachel, an unusual and solitary student who surprises him with her extraordinary problem-solving skills. Though initially reluctant, Rachel's parents eventually support her journey into the world of competitive math. Guided by Max's unconventional teaching methods, Rachel not only hones her skills but also transforms into a confident competitor. Alongside her friends Tommy and Lucy, they embrace the challenges of preparing for the competition, filled with laughter, camaraderie, and unexpected hurdles. Through hard work and determination, they navigate the intense pressure of the International Math Challenge, facing their fears and celebrating their accomplishments.
This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.
The Fourth Edition of Literacy and Learning in the Content Areas: Enhancing Knowledge in the Disciplines provides readers with the knowledge, motivation, tools, and confidence for integrating literacy in their disciplinary classrooms. Offering an original, literature-based approach to teaching disciplinary literacy, the new edition shares important ways in which teachers of courses in the disciplines can enhance student learning of subject matter and skills while also fostering their growth in the many facets of literacy. Throughout each chapter, Kane provides engaging and creative strategies and activities to make literacy come alive in discipline-specific courses and to encourage students to explore and learn in the classroom. Embedded in each chapter are examples, resources, and strategies to help readers actively engage with and implement literacy practices. These features include Teaching in Action examples by subject area; Activating Prior Knowledge activities to stimulate critical thinking to prepare readers to learn complex theoretical and conceptual material about teaching, learning, and literacy; and end-of-chapter Application Activities to apply field experiences to classroom use. New to the Fourth Edition Every chapter of this new edition is updated to reflect the current approaches, standards, and benchmarks for discipline-specific literacy. Enhanced Companion Website with BookTalks to introduce relevant books in many genres and subjects, encouraging readers to explore the books for themselves and providing a model for BookTalks in their own classrooms. Expanded practical instructional strategies for teaching literacy in math, science, and social studies. Updated to include newly published titles in children’s literature, young adult literature, and nonfiction.
Based upon the principle that graph design should be a science, this book presents the principles of graph construction. The orientation of the material is toward graphs in technical writings, such as journal articles and technical reports. But much of the material is relevant for graphs shown in talks and for graphs in nontechnical publications. -- from back cover.
Carefully selected highlights of the Bay Area Math Adventures (BAMA), a lecture series for high school students.