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Author: Pinaki Mondal
Publisher: Springer
ISBN: 9783030751760
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.
Author: Pinaki Mondal
Publisher: Springer
ISBN: 9783030751760
Category : Mathematics
Languages : en
Pages : 0
Get Book Here
Book Description
This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.
Author: Pinaki Mondal
Publisher: Springer Nature
ISBN: 3030751740
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.
Author: Scott Westerfeld
Publisher: Simon and Schuster
ISBN: 1481443380
Category : Young Adult Fiction
Languages : en
Pages : 576
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Book Description
X-Men meets Marissa Meyer’s Renegades when New York Times bestselling author of the Uglies series Scott Westerfeld teams up with award-winning authors Margo Lanagan and Deborah Biancotti for this explosive trilogy filled with “cinematic nonstop action,” (Booklist) about six teens with unique abilities. Don’t call them heroes. But these six California teens have powers that set them apart. Take Ethan, a.k.a. Scam. He’s got a voice inside him that’ll say whatever you want to hear, whether it’s true or not. Which is handy, except when it isn’t—like when the voice starts gabbing in the middle of a bank robbery. The only people who can help are the other Zeroes, who aren’t exactly best friends these days. Enter Nate, a.k.a. Bellwether, the group’s “glorious leader.” After Scam’s SOS, he pulls the scattered Zeroes back together. But when the rescue blows up in their faces, the Zeroes find themselves propelled into whirlwind encounters with ever more dangerous criminals. At the heart of the chaos they find Kelsie, who can take a crowd in the palm of her hand and tame it or let it loose as she pleases. Filled with high-stakes action and drama, Zeroes unites three powerhouse authors for the opening installment of a thrilling new series.
Author: Carl Sagan
Publisher: Simon and Schuster
ISBN: 150117231X
Category : Fiction
Languages : en
Pages : 384
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Book Description
Pulitzer Prize-winning author and astronomer Carl Sagan imagines the greatest adventure of all—the discovery of an advanced civilization in the depths of space. In December of 1999, a multinational team journeys out to the stars, to the most awesome encounter in human history. Who—or what—is out there? In Cosmos, Carl Sagan explained the universe. In Contact, he predicts its future—and our own.
Author: Muhammad Yunus
Publisher: PublicAffairs
ISBN: 1610397584
Category : Social Science
Languages : en
Pages : 260
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Book Description
A winner of the Nobel Peace Prize and bestselling author of Banker to the Poor offers his vision of an emerging new economic system that can save humankind and the planet Muhammad Yunus, who created microcredit, invented social business, and earned a Nobel Peace Prize for his work in alleviating poverty, is one of today's most trenchant social critics. Now he declares it's time to admit that the capitalist engine is broken -- that in its current form it inevitably leads to rampant inequality, massive unemployment, and environmental destruction. We need a new economic system that unleashes altruism as a creative force just as powerful as self-interest. Is this a pipe dream? Not at all. In the last decade, thousands of people and organizations have already embraced Yunus's vision of a new form of capitalism, launching innovative social businesses designed to serve human needs rather than accumulate wealth. They are bringing solar energy to millions of homes in Bangladesh; turning thousands of unemployed young people into entrepreneurs through equity investments; financing female-owned businesses in cities across the United States; bringing mobility, shelter, and other services to the rural poor in France; and creating a global support network to help young entrepreneurs launch their start-ups. In A World of Three Zeros, Yunus describes the new civilization emerging from the economic experiments his work has helped to inspire. He explains how global companies like McCain, Renault, Essilor, and Danone got involved with this new economic model through their own social action groups, describes the ingenious new financial tools now funding social businesses, and sketches the legal and regulatory changes needed to jumpstart the next wave of socially driven innovations. And he invites young people, business and political leaders, and ordinary citizens to join the movement and help create the better world we all dream of.
Author: YCT Expert Team
Publisher: YOUTH COMPETITION TIMES
ISBN:
Category : Antiques & Collectibles
Languages : en
Pages : 265
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Book Description
2024-25 RRB Technician Grade-I Signal Engineering Mathematics 264 495 E. This book covers all basic elementary mathematics and also the solution of asked previous questions.
Author:
Publisher: Pearson Education India
ISBN: 9788131734469
Category :
Languages : en
Pages : 612
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Book Description
Author: Wolfgang H. Nitsche
Publisher:
ISBN: 9780990007210
Category :
Languages : en
Pages :
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Book Description
In 1940, the mathematician Edward Kasner published the book "Mathematics and the Imagination", in which he popularized the words googol and googolplex which his nephew suggested as names for big numbers. The number googol has been defined as 1 followed by a hundred zeros: googol = 10^100 = 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 The much larger number googolplex has been defined as 1 followed by a googol zeros. While this number can easily be written as googolplex = 10^googol = 10^(10^100) using the exponential notation, it has often been claimed that the number googolplex is so large that it can never be written out in full. However in this "Googolplex Written Out" series of books, I am doing just that. It consists out of 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 volumes, and each volume contains 1 000 000 zeros of the number googolplex. The first volume also contains the initial digit one with which googolplex starts. www.GoogolplexWrittenOut.com
Author: Scott Westerfeld
Publisher: Simon and Schuster
ISBN: 1481443399
Category : Juvenile Fiction
Languages : en
Pages : 464
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Book Description
As they celebrate the opening of their underground nightclub, the Zeroes, six teenagers with unique abilities, learn about the sinister power of Swarm, who uses a crowd's rage to kill--and who loves killing Zeroes.
Author: Steven G. Krantz
Publisher: American Mathematical Society
ISBN: 9780821806197
Category : Mathematics
Languages : en
Pages : 490
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Book Description
The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to … translate verbal discussions into analytical data.learn problem-solving methods for attacking collections of analytical questions or data.build a personal arsenal of internalized problem-solving techniques and solutions.become “armed problem solvers”, ready to do battle with a variety of puzzles in different areas of life.Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a “Challenge Problem” is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. This book won the CHOICE Outstanding Academic Book Award for 1997. A Solutions Manual to most end-of-chapter exercises is available.
