a royal road to algebraic geometry

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A Royal Road To Algebraic Geometry

Author : Audun Holme
ISBN : 3642192254
Genre : Mathematics
File Size : 31. 67 MB
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This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

Zur Algebraischen Geometrie

Author : Bartel L. van der Waerden
ISBN : 3642617832
Genre : Mathematics
File Size : 74. 2 MB
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Als ich 1945 in MUnster zu studieren begann, war van dec Waerdens "Mo­ deme Algebra" eines dec wenigen Bticher, die ich mir in diesen schwierigen Zeiten leihen konnte. Wie vielen Studenten so war also auch mir . ,dervan dec Waerden" vertraut von Anfang des Studiums an. lch lernte van dec Waerden einige Jahre spaler kennen, und er sagte miT, wie merkwiirdig es sei, daB alle Mathematiker ibn wegen dieses Buches kennen, das Vorlesungen von Emil Artin und Emmy Noether benutzt, wahrend seine wirklichen mathemati­ schen Leistungen gam woanders Uigen. In dem Gesprach zeigte sich dann, dall van dec Waerden seine Arheiten zur algebraischen Geometrie nnd insbe­ sondere die in den Mathematischen Annalen erschienene Reihe "Zur alge­ braischen Geometrie" 1 die es in weiteren Jahren his zur NT. 20 bringen sollte, fUr das Wichtigste hielt. (Etwa 30 Jahre spater war ich zu einem Essen zu Ehren der Trager des Ordens Pour Ie Merite fUr Wissenschaft und Kunste ein­ geladen. Die beiden Ordenstrager van der Waerden und Elias Canetti unter­ hielten sich. Canetti bedauerte, dall man ibn hauptsachlich wegen seines Bu­ ches ,. Die gerettete Zunge" kenne, wahrend andere Schriften doch viet wich­ tiger seien. Van der Waerden rief aus "Aber mir geht es doch gaOl genau so mit meinem Algebra-Buch". ) Van der Waerden ist ein so ungewohnlich vielseitiger Mathematiker mit bedeutenden Buchem und Arbeiten aus zahlreichen weit von einander ent· fernten Gebieten, dal3 die Entscheidung des Verlages, diese Setecta der alge­ braischen Geometrie zu widmen, sicberlich nicht selbstverstiindlich war.

Algebraic Geometry

Author : Thomas A. Garrity
ISBN : 9780821893968
Genre : Mathematics
File Size : 84. 42 MB
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Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex

Circuits And Systems For Security And Privacy

Author : Farhana Sheikh
ISBN : 9781315355733
Genre : Computers
File Size : 56. 21 MB
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Circuits and Systems for Security and Privacy begins by introducing the basic theoretical concepts and arithmetic used in algorithms for security and cryptography, and by reviewing the fundamental building blocks of cryptographic systems. It then analyzes the advantages and disadvantages of real-world implementations that not only optimize power, area, and throughput but also resist side-channel attacks. Merging the perspectives of experts from industry and academia, the book provides valuable insight and necessary background for the design of security-aware circuits and systems as well as efficient accelerators used in security applications.

An Introduction To Algebraic Geometry

Author : Kenji Ueno
ISBN : 9780821811443
Genre : Mathematics
File Size : 22. 52 MB
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This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.

Ebene Algebraische Kurven

Author : Egbert Brieskorn
ISBN : UOM:39015049066551
Genre : Mathematics
File Size : 42. 70 MB
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Canada Year Book

Author :
ISBN : NYPL:33433105003382
Genre : Canada
File Size : 59. 38 MB
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Algebraic Integrability Painleve Geometry And Lie Algebras

Author : Mark Adler
ISBN : 354022470X
Genre : Differential equations
File Size : 55. 41 MB
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The Canada Year Book

Author :
ISBN : UCAL:B3330324
Genre : Canada
File Size : 35. 37 MB
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Geometry Its Elements And Structure

Author : Alfred S. Posamentier
ISBN : 9780486492674
Genre : Mathematics
File Size : 63. 22 MB
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"Co-written by a bestselling high school and university textbook author, a longtime educational and standards pioneer, this up-to-date text is geared toward high school geometry classes and contains standard material for numerous state competencies. Topics include plane, solid, coordinate, vector, and non-Euclidean geometry. Features more than 2,000 illustrations, numerous examples with worked-out solutions, and supplementary reading. Electronic solutions manual and annotated teacher's edition are available. "--

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