Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 446
Book Description
Elementary Algebra
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 446
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 446
Book Description
Rational Points on Varieties
Author: Bjorn Poonen
Publisher: American Mathematical Soc.
ISBN: 1470437732
Category : Mathematics
Languages : en
Pages : 358
Book Description
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Publisher: American Mathematical Soc.
ISBN: 1470437732
Category : Mathematics
Languages : en
Pages : 358
Book Description
This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere.
Classical Algebraic Geometry
Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653
Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653
Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
Complete Curriculum, Grade 5
Author: Flash Kids Flash Kids Editors
Publisher: Spark Publishing Group
ISBN: 9781411498808
Category : Curriculum planning
Languages : en
Pages : 0
Book Description
Covers reading, math, spelling, language arts, writing, and test prep.
Publisher: Spark Publishing Group
ISBN: 9781411498808
Category : Curriculum planning
Languages : en
Pages : 0
Book Description
Covers reading, math, spelling, language arts, writing, and test prep.
Characteristic Classes
Author: John Willard Milnor
Publisher: Princeton University Press
ISBN: 9780691081229
Category : Mathematics
Languages : en
Pages : 342
Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Publisher: Princeton University Press
ISBN: 9780691081229
Category : Mathematics
Languages : en
Pages : 342
Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
The Art of Problem Solving, Volume 1
Author: Sandor Lehoczky
Publisher: Mitchell Beazley
ISBN: 9780977304561
Category : Mathematics
Languages : en
Pages : 0
Book Description
" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
Publisher: Mitchell Beazley
ISBN: 9780977304561
Category : Mathematics
Languages : en
Pages : 0
Book Description
" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover
Introduction to Algebra
Author: Richard Rusczyk
Publisher:
ISBN: 9781934124147
Category : Algebra
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9781934124147
Category : Algebra
Languages : en
Pages : 0
Book Description
H Ring Spectra and Their Applications
Author: Robert R. Bruner
Publisher: Springer
ISBN: 3540397787
Category : Mathematics
Languages : en
Pages : 396
Book Description
Publisher: Springer
ISBN: 3540397787
Category : Mathematics
Languages : en
Pages : 396
Book Description
Geometry and Complexity Theory
Author: J. M. Landsberg
Publisher: Cambridge University Press
ISBN: 110819141X
Category : Computers
Languages : en
Pages : 353
Book Description
Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.
Publisher: Cambridge University Press
ISBN: 110819141X
Category : Computers
Languages : en
Pages : 353
Book Description
Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.
Complete Curriculum: Grade 1
Author: Flash Kids
Publisher: Spark Publishing Group
ISBN: 9781411480469
Category : Juvenile Nonfiction
Languages : en
Pages : 800
Book Description
The popular Flash Kids Workbooks now features STEM enrichment sections and easy-to-tackle projects for wherever learning takes place! This comprehensive line of workbooks was developed through a partnership with Harcourt Family Learning, a leading educational publisher. Based on national teaching standards for Grade 1, this workbook provides complete practice in math, reading, and other key subject areas. New content includes an introduction to STEM concepts and terms, how STEM impacts everyday life, concept review quiz, and fun, engaging projects that reinforce the subjects. Flash Kids Complete Curriculum Grade 1 also includes a new introduction providing recommendations for educators on how to use this volume to differentiate lessons in the classroom and instructions to integrate the content into hybrid and remote learning.
Publisher: Spark Publishing Group
ISBN: 9781411480469
Category : Juvenile Nonfiction
Languages : en
Pages : 800
Book Description
The popular Flash Kids Workbooks now features STEM enrichment sections and easy-to-tackle projects for wherever learning takes place! This comprehensive line of workbooks was developed through a partnership with Harcourt Family Learning, a leading educational publisher. Based on national teaching standards for Grade 1, this workbook provides complete practice in math, reading, and other key subject areas. New content includes an introduction to STEM concepts and terms, how STEM impacts everyday life, concept review quiz, and fun, engaging projects that reinforce the subjects. Flash Kids Complete Curriculum Grade 1 also includes a new introduction providing recommendations for educators on how to use this volume to differentiate lessons in the classroom and instructions to integrate the content into hybrid and remote learning.