A Royal Road To Algebraic Geometry
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Author | : Audun Holme |
Publisher | : Springer Science & Business Media |
Total Pages | : 365 |
Release | : 2011-10-06 |
Genre | : Mathematics |
ISBN | : 3642192254 |
Download A Royal Road to Algebraic Geometry Book in PDF, Epub and Kindle
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!
Author | : David Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 265 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387226397 |
Download The Geometry of Schemes Book in PDF, Epub and Kindle
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Author | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 511 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475738498 |
Download Algebraic Geometry Book in PDF, Epub and Kindle
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author | : Frank Jones |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 626 |
Release | : 2001 |
Genre | : Computers |
ISBN | : 9780763717087 |
Download Lebesgue Integration on Euclidean Space Book in PDF, Epub and Kindle
"'Lebesgue Integration on Euclidean Space' contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented" --
Author | : Ben Orlin |
Publisher | : Black Dog & Leventhal |
Total Pages | : 556 |
Release | : 2018-09-18 |
Genre | : Mathematics |
ISBN | : 0316509027 |
Download Math with Bad Drawings Book in PDF, Epub and Kindle
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.
Author | : Roger Penrose |
Publisher | : Vintage |
Total Pages | : 1136 |
Release | : 2021-06-09 |
Genre | : Science |
ISBN | : 0593315308 |
Download The Road to Reality Book in PDF, Epub and Kindle
**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin
Author | : Alfred North Whitehead |
Publisher | : Courier Dover Publications |
Total Pages | : 177 |
Release | : 2017-05-04 |
Genre | : Mathematics |
ISBN | : 0486821382 |
Download An Introduction to Mathematics Book in PDF, Epub and Kindle
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.
Author | : Gerd Fischer |
Publisher | : American Mathematical Soc. |
Total Pages | : 249 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821821229 |
Download Plane Algebraic Curves Book in PDF, Epub and Kindle
This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Author | : John M. Lee |
Publisher | : Springer Science & Business Media |
Total Pages | : 395 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 038722727X |
Download Introduction to Topological Manifolds Book in PDF, Epub and Kindle
Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.
Author | : Lou Van den Dries |
Publisher | : Cambridge University Press |
Total Pages | : 196 |
Release | : 1998-05-07 |
Genre | : Mathematics |
ISBN | : 0521598389 |
Download Tame Topology and O-minimal Structures Book in PDF, Epub and Kindle
These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.