Nine Mathematical Challenges: An Elucidation PDF Download
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Author: A. Kechris
Publisher: American Mathematical Soc.
ISBN: 1470454904
Category : Education
Languages : en
Pages : 221
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Book Description
This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.
Author: A. Kechris
Publisher: American Mathematical Soc.
ISBN: 1470454904
Category : Education
Languages : en
Pages : 221
Get Book Here
Book Description
This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.
Author: Glenda Lappan
Publisher: National Council of Teachers of English
ISBN: 9780873536332
Category : Mathematics
Languages : en
Pages : 301
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Book Description
"Articles from Teaching children mathematics; Mathematics teaching in the middle school; Mathematics teacher; Student math notes; the 2001, 2002, and 2003 NCTM yearbooks; and Classroom activities for learning and teaching measurement."
Author: A. S. Kechris
Publisher: American Mathematical Soc.
ISBN: 9781470454906
Category : Education
Languages : en
Pages : 0
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Book Description
The finite simple groups and their classification / Michael Aschbacher -- Recent progress on the Birch and Swinnerton-Dyer conjecture / Ashay Burungale, Christopher Skinner and Ye Tian -- Bounding ramification by covers and curves / Hélène Esnault and Vasudevan Srinivas -- The Lieb-Thirring inequalities : recent results and open problems / Rupert Frank -- Some topological properties of surface bundles / Ursula Hämenstadt -- Some recent advances on Duke's equidistribution theorems / Philippe Michel -- Gap and type problems in Fourier analysis / Alex Poltoratski -- Quantitative bounds for critically bounded solutions to the Navier-Stokes equations / Terry Tao -- The continuum hypothesis / W. Hugh Woodin.
Author: Barry Cipra
Publisher: American Mathematical Soc.
ISBN: 9780821890431
Category : Science
Languages : en
Pages : 108
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Book Description
Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486795535
Category : Mathematics
Languages : en
Pages : 116
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Book Description
This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.
Author: Darin Beigie
Publisher:
ISBN: 9781601446442
Category :
Languages : en
Pages : 320
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Book Description
Author: Consortium On Reaching Excellence In Education
Publisher:
ISBN: 9780991535514
Category :
Languages : en
Pages :
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Book Description
Author: John MacCormick
Publisher: Princeton University Press
ISBN: 0691209057
Category : Computers
Languages : en
Pages : 232
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Book Description
Nine revolutionary algorithms that power our computers and smartphones Every day, we use our computers to perform remarkable feats. A simple web search picks out a handful of relevant needles from the world's biggest haystack. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers, and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? John MacCormick answers this question in language anyone can understand, using vivid examples to explain the fundamental tricks behind nine computer algorithms that power our PCs, tablets, and smartphones.
Author: Jean-Claude Martzloff
Publisher: Springer
ISBN: 3540337830
Category : Mathematics
Languages : en
Pages : 491
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Book Description
This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.
Author: Philip Russell Wallace
Publisher: Courier Corporation
ISBN: 0486646769
Category : Science
Languages : en
Pages : 644
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Book Description
This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.
