Geometry Ii

Author : E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 45,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662029015

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Geometry II by E.B. Vinberg Pdf

A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.

Author : Anonim
Publisher : Research & Education Assoc.
Page : 100 pages
File Size : 54,6 Mb
Release : 2024-06-27
Category : Geometry
ISBN : 0738672025

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Essentials of Geometry II by Anonim Pdf

Annotation. REAs Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Geometry I includes methods of proof, points, lines, planes, angles, congruent angles and line segments, triangles, parallelism, quadrilaterals, geometric inequalities, and geometric proportions and similarity. Annotation. Includes methods of proof, points, lines, planes, angles, congruentangles and line segments, triangles, parallelism, quadrilaterals, geometric inequalities, and geometric proportions and similarity.

Author : Anonim
Publisher : Popular Prakashan
Page : 116 pages
File Size : 40,8 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8171549586

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britannica workbooks geometry ii by Anonim Pdf

Author : Pierre E. Cartier,Bernard Julia,Pierre Moussa,Pierre Vanhove
Publisher : Springer Science & Business Media
Page : 806 pages
File Size : 41,8 Mb
Release : 2007-07-18
Category : Mathematics
ISBN : 9783540303084

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Frontiers in Number Theory, Physics, and Geometry II by Pierre E. Cartier,Bernard Julia,Pierre Moussa,Pierre Vanhove Pdf

Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Author : R.K. Lazarsfeld
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 53,6 Mb
Release : 2004-08-24
Category : History
ISBN : 3540225331

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Positivity in Algebraic Geometry I by R.K. Lazarsfeld Pdf

This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.

Author : David Mumford,Tadao Oda
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2015
Category : Algebraic varieties
ISBN : 9380250800

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Algebraic Geometry II by David Mumford,Tadao Oda Pdf

Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled "Red Book" containing notes of his lectures at Harvard University. This book contains what Mumford had intended to be Volume II. It covers the material in the "Red Book" in more depth with several more topics added.

Author : Andreĭ Petrovich Kiselev
Publisher : Unknown
Page : 192 pages
File Size : 46,6 Mb
Release : 2008
Category : Geometry
ISBN : UCSD:31822037285152

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Kiselev's Geometry by Andreĭ Petrovich Kiselev Pdf

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Author : Paola Magnaghi-Delfino,Giampiero Mele,Tullia Norando
Publisher : Springer Nature
Page : 322 pages
File Size : 50,5 Mb
Release : 2021-04-03
Category : Mathematics
ISBN : 9783030637026

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Faces of Geometry by Paola Magnaghi-Delfino,Giampiero Mele,Tullia Norando Pdf

The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

Author : Felix Klein
Publisher : Springer
Page : 315 pages
File Size : 51,6 Mb
Release : 2016-06-29
Category : Education
ISBN : 9783662494455

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Elementary Mathematics from a Higher Standpoint by Felix Klein Pdf

These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics./div This volume II presents a paradigmatic realisation of Klein’s approach of elementarisation for teacher education. It is shown how the various geometries, elaborated particularly since the beginning of the 19th century, are revealed as becoming unified in a new restructured geometry. As Klein liked to stress: “Projective geometry is all geometry”. Non-Euclidean geometry proves to constitute a part of this unifying process. The teaching of geometry is discussed in a separate chapter, which provides moreover important information on the history of geometry teaching and an international comparison.

Author : Igor Rostislavovich Shafarevich
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 42,6 Mb
Release : 1994
Category : Mathematics
ISBN : 3540575545

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Basic Algebraic Geometry 2 by Igor Rostislavovich Shafarevich Pdf

The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.

Author : Igor R. Shafarevich
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 48,8 Mb
Release : 2013-08-31
Category : Mathematics
ISBN : 9783642380105

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Basic Algebraic Geometry 2 by Igor R. Shafarevich Pdf

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.

Author : Marcel Berger
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 50,5 Mb
Release : 2009-01-20
Category : Mathematics
ISBN : 9783540938163

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Geometry II by Marcel Berger Pdf

This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.

Author : Günter Harder
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 51,7 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9783834881595

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Lectures on Algebraic Geometry II by Günter Harder Pdf

This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.

Author : Anonim
Publisher : Popular Prakashan
Page : 92 pages
File Size : 50,6 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 817991027X

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Geometry II by Anonim Pdf

Author : Alexey A. Zaslavsky,Mikhail B. Skopenkov
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 48,8 Mb
Release : 2021-08-24
Category : Education
ISBN : 9781470448790

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Mathematics via Problems: Part 2: Geometry by Alexey A. Zaslavsky,Mikhail B. Skopenkov Pdf

This book is a translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, was recently published in the same series. Part III, Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as projective and affine geometry, solid geometry, and so on, thus building a bridge between standard high school exercises and more intricate notions in geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.