Great Ideas of Modern Mathematics, Their Nature and Use

Great Ideas of Modern Mathematics, Their Nature and Use PDF Author: Jagjit Singh
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 324

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Book Description
An explanation of the development and structure of the modern mathematics used in contemporary science

Great Ideas of Modern Mathematics, Their Nature and Use

Great Ideas of Modern Mathematics, Their Nature and Use PDF Author: Jagjit Singh
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 324

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Book Description
An explanation of the development and structure of the modern mathematics used in contemporary science

Great Ideas on Modern Mathematics

Great Ideas on Modern Mathematics PDF Author: Jagjit Singh
Publisher:
ISBN: 9780844609119
Category :
Languages : en
Pages :

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Concepts of Modern Mathematics

Concepts of Modern Mathematics PDF Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 368

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Book Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Mathematical Ideas, Their Nature and Use

Mathematical Ideas, Their Nature and Use PDF Author: Jagjit Singh
Publisher: Hutchinson Radius
ISBN:
Category : Mathematics
Languages : en
Pages : 332

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The Nature and Growth of Modern Mathematics

The Nature and Growth of Modern Mathematics PDF Author: Edna Ernestine Kramer
Publisher: Princeton University Press
ISBN: 9780691023724
Category : Mathematics
Languages : en
Pages : 790

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Book Description
Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.

A Beautiful Math

A Beautiful Math PDF Author: Tom Siegfried
Publisher: National Academies Press
ISBN: 0309133807
Category : Science
Languages : en
Pages : 272

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Book Description
Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

5 Principles of the Modern Mathematics Classroom

5 Principles of the Modern Mathematics Classroom PDF Author: Gerald Aungst
Publisher: Corwin Press
ISBN: 1506322999
Category : Education
Languages : en
Pages : 141

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Book Description
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

 PDF Author:
Publisher:
ISBN: 0691120226
Category :
Languages : en
Pages :

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Our Mathematical Universe

Our Mathematical Universe PDF Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434

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Book Description
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The Mathematical Tourist

The Mathematical Tourist PDF Author: Ivars Peterson
Publisher: Macmillan
ISBN: 0805071598
Category : Mathematics
Languages : en
Pages : 273

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Book Description
In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.