How Many Zeroes

Download or read book How Many Zeroes? written by Pinaki Mondal and published by Springer. This book was released on 2022-11-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book How Many Zeroes? written by Pinaki Mondal and published by Springer Nature. This book was released on 2021-11-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Zeroes written by Scott Westerfeld and published by Simon and Schuster. This book was released on 2015-09-29 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Pearson Guide to Quantitative Aptitude for CAT 2/e written by Sinha and published by Pearson Education India. This book was released on 2010 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pearson Guide to Quantitative Aptitude for CAT 2/e has everything you need to secure a top score in the quantitative aptitude papers of the CAT and other MBA entrance examinations. Written in a student-friendly style, this book explains concepts in a concise manner and includes numerous examples and worked-out problems. It also contains ample practice problems, scientifically designed and arranged in four levels (in an increasing order of difficulty). The text also contains a chapter on Vedic mathematics, which provides unique time-saving and easy techniques for complex calculations.

Download or read book Contact written by Carl Sagan and published by Simon and Schuster. This book was released on 2016-12-20 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Algebra: Themes, Tools, Concepts -- Teachers' Edition written by Henri Picciotto and published by Henri Picciotto, MathEducationPage.org. This book was released on 1994 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebra written by Anita Wah and published by Henri Picciotto. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: