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Hodge Ideals

Hodge Ideals PDF Author: Mircea Mustaţă
Publisher: American Mathematical Soc.
ISBN: 1470437813
Category : Education
Languages : en
Pages : 92

Book Description
The authors use methods from birational geometry to study the Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. They analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.

Hodge Ideals

Hodge Ideals PDF Author: Mircea Mustaţă
Publisher: American Mathematical Soc.
ISBN: 1470437813
Category : Education
Languages : en
Pages : 92

Book Description
The authors use methods from birational geometry to study the Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. They analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.

Daily STEM

Daily STEM PDF Author: Chris Woods
Publisher:
ISBN: 9781777225544
Category :
Languages : en
Pages : 206

Book Description
From The Author: Has your school added a STEM class, or are you hoping to build more STEM into your school community? Buying a bunch of 3D printers and robot kits is a good start, but what does a sustainable STEM learning culture look like? This book will challenge you to think past the Daily STEM acronym and think about what it means to build a culture of STEM thinking in your school. You'll find plenty of practical tips and examples to make STEM relevant for every kid and infuse it into every classroom and every home in your community. Editorial Reviews: "STEM can seem like such a big challenge for teachers and school leaders alike. We all want students engaged in meaningful, hands-on learning. But where do we begin? Start with Daily STEM. This awesome gift to educators by author Chris Woods is packed full of practical, logical, and easy steps teachers can and should take to bring STEM to life. It's like having Chris right there coaching you, helping you find STEM in everyday life. Daily STEM will have you building a "culture of STEM" in your school or classroom and bringing relevant learning to life." Darrin M Peppard, Ed.D. - Superintendent - Author of Road To Awesome - Renaissance Hall of Fame "Chris' book Daily STEM is exactly what every teacher needs to promote curiosity and hands-on learning in the classroom. He prompts critical thinking and offers experiences that are fun and engaging for students. It is packed full of cool ideas and STEM inspiration-a must read!!!" Jacie Maslyk - Educator - Author - STEM Enthusiast "I absolutely love Daily STEM!! You will never be able to look at the world the same way after you read this gem! Hundreds of ideas will swirl through your head after each page. If you are searching for your teaching style, here it is: curiosity and connections. This is a book you will read more than once. Chris's personal stories will put a smile on your face as you reflect on your own stories. WOW Factor!! Epic!" Dr. Frank Rudnesky - Educator - Author - Speaker - Consultant "Daily STEM is a book I would normally have an aversion to! Teachers either love the idea of STEM, or they run as fast as they can when they hear the term. I used to run! Daily Stem offered me significant insight into so many ways educators can continue to provide STEM instruction/ideas and exploration across content areas and beyond the classroom walls. The Q and A style made Daily Stem an easy read. It also provided opportunity to revisit a question -and the answer- quite readily. "A noisy classroom is a collaborative classroom. A messy classroom is an inventing classroom," sums up best practice and is a powerful reminder as we plan for the new school year!" Dr. Lori Koerner - K-12 Administrator for Curriculum, Instruction & Professional Personnel

Geometry by Construction

Geometry by Construction PDF Author: Michael McDaniel
Publisher: Universal-Publishers
ISBN: 1627340289
Category : Education
Languages : en
Pages : 149

Book Description
"'Geometry by construction' challenges its readers to participate in the creation of mathematics. The questions span the spectrum from easy to newly published research and so are appropriate for a variety of students and teachers. From differentiation in a high school course through college classes and into summer research, any interested geometer will find compelling material"--Back cover.

Differential Geometry in the Large

Differential Geometry in the Large PDF Author: Owen Dearricott
Publisher: Cambridge University Press
ISBN: 1108879993
Category : Mathematics
Languages : en
Pages : 402

Book Description
The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

Nonholonomic Mechanics and Control

Nonholonomic Mechanics and Control PDF Author: A.M. Bloch
Publisher: Springer Science & Business Media
ISBN: 0387216448
Category : Mathematics
Languages : en
Pages : 498

Book Description
This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.

Geometry of Submanifolds

Geometry of Submanifolds PDF Author: Bang-Yen Chen
Publisher: Courier Dover Publications
ISBN: 0486832783
Category : Mathematics
Languages : en
Pages : 193

Book Description
The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.

Introductory Statistics 2e

Introductory Statistics 2e PDF Author: Barbara Illowsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106

Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.

Math with Bad Drawings

Math with Bad Drawings PDF Author: Ben Orlin
Publisher: Black Dog & Leventhal
ISBN: 0316509027
Category : Mathematics
Languages : en
Pages : 556

Book Description
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

An Introduction to Manifolds

An Introduction to Manifolds PDF Author: Loring W. Tu
Publisher: Springer Science & Business Media
ISBN: 1441974008
Category : Mathematics
Languages : en
Pages : 426

Book Description
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

Music on the Move

Music on the Move PDF Author: Danielle Fosler-Lussier
Publisher: University of Michigan Press
ISBN: 0472126784
Category : Music
Languages : en
Pages : 323

Book Description
A dynamic multimedia introduction to the global connections among peoples and their music