A Royal Road to Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642192254
Total Pages : 365 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A Royal Road to Algebraic Geometry by : Audun Holme

Download or read book A Royal Road to Algebraic Geometry written by Audun Holme and published by Springer Science & Business Media. This book was released on 2011-10-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Introduction to Algebraic Geometry

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Publisher : Courier Dover Publications
ISBN 13 : 048683980X
Total Pages : 273 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Introduction to Algebraic Geometry by : Serge Lang

Download or read book Introduction to Algebraic Geometry written by Serge Lang and published by Courier Dover Publications. This book was released on 2019-03-20 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.

El-Hi Textbooks & Serials in Print, 2003

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Publisher :
ISBN 13 : 9780835245463
Total Pages : 2126 pages
Book Rating : 4.2/5 (454 download)

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Book Synopsis El-Hi Textbooks & Serials in Print, 2003 by :

Download or read book El-Hi Textbooks & Serials in Print, 2003 written by and published by . This book was released on 2003 with total page 2126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

El-Hi Textbooks & Serials in Print, 2005

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Publisher :
ISBN 13 : 9780835246804
Total Pages : pages
Book Rating : 4.2/5 (468 download)

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Book Synopsis El-Hi Textbooks & Serials in Print, 2005 by :

Download or read book El-Hi Textbooks & Serials in Print, 2005 written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Commutative Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 1461253500
Total Pages : 784 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Commutative Algebra by : David Eisenbud

Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Algebra and Trigonometry

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Publisher :
ISBN 13 : 9781938168376
Total Pages : 1564 pages
Book Rating : 4.1/5 (683 download)

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Book Synopsis Algebra and Trigonometry by : Jay P. Abramson

Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Data Access and Storage Management for Embedded Programmable Processors

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792376897
Total Pages : 332 pages
Book Rating : 4.3/5 (768 download)

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Book Synopsis Data Access and Storage Management for Embedded Programmable Processors by : Francky Catthoor

Download or read book Data Access and Storage Management for Embedded Programmable Processors written by Francky Catthoor and published by Springer Science & Business Media. This book was released on 2002-03-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Índice abreviado: 1. DTSE in programmable architectures 2. Related compiler work on data transfer and storage management 3. Global loop transformations 4. System-level storage requirement estimation 5. Automated data reuse exploration techniques 6. Storage cycle budget distribution 7. Cache optimization 8. Demonstrator designs 9. Conclussions and future work.

A New Approach to Differential Geometry using Clifford's Geometric Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682821
Total Pages : 476 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A New Approach to Differential Geometry using Clifford's Geometric Algebra by : John Snygg

Download or read book A New Approach to Differential Geometry using Clifford's Geometric Algebra written by John Snygg and published by Springer Science & Business Media. This book was released on 2011-12-08 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.

Undergraduate Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521356626
Total Pages : 144 pages
Book Rating : 4.3/5 (566 download)

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Book Synopsis Undergraduate Algebraic Geometry by : Miles Reid

Download or read book Undergraduate Algebraic Geometry written by Miles Reid and published by Cambridge University Press. This book was released on 1988-12-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry including: plane conics, cubics and the group law, affine and projective varieties, and non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.

Introduction to Technical Mathematics

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Publisher : Addison-Wesley Longman
ISBN 13 : 9780321455932
Total Pages : 0 pages
Book Rating : 4.4/5 (559 download)

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Book Synopsis Introduction to Technical Mathematics by : Allyn J. Washington

Download or read book Introduction to Technical Mathematics written by Allyn J. Washington and published by Addison-Wesley Longman. This book was released on 2007-05-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Technical Mathematics, Fifth Edition, has been thoroughly revised and modernized with up-to-date applications, an expanded art program, and new pedagogy to help today’s students relate to the mathematics they are learning. The new edition continues to provide a thorough review of arithmetic and a solid foundation in algebra, geometry, and trigonometry. In addition to thousands of exercises, the examples in this text include a wealth of applications from various technological fields: electronics, mechanics, civil engineering, forestry, architecture, industrial engineering and design, physics, chemistry, and computer science. To enhance your course, the fifth edition is now available with Addison-Wesley’s MathXL® and MyMathLab ® technologies.

An Introduction To Chaotic Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 0429970854
Total Pages : 360 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Chaotic Dynamical Systems by : Robert Devaney

Download or read book An Introduction To Chaotic Dynamical Systems written by Robert Devaney and published by CRC Press. This book was released on 2018-03-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.

Concrete Mathematics

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Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Algebra

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (65 download)

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Book Synopsis Algebra by : Serge Lang

Download or read book Algebra written by Serge Lang and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scott Foresman-Addison Wesley Middle School Math

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Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Scott Foresman-Addison Wesley Middle School Math by :

Download or read book Scott Foresman-Addison Wesley Middle School Math written by and published by . This book was released on 2002 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Undergraduate Commutative Algebra

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Publisher : Cambridge University Press
ISBN 13 : 9780521458894
Total Pages : 172 pages
Book Rating : 4.4/5 (588 download)

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Book Synopsis Undergraduate Commutative Algebra by : Miles Reid

Download or read book Undergraduate Commutative Algebra written by Miles Reid and published by Cambridge University Press. This book was released on 1995-11-30 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is at the crossroads of algebra, number theory and algebraic geometry. This textbook is affordable and clearly illustrated, and is intended for advanced undergraduate or beginning graduate students with some previous experience of rings and fields. Alongside standard algebraic notions such as generators of modules and the ascending chain condition, the book develops in detail the geometric view of a commutative ring as the ring of functions on a space. The starting point is the Nullstellensatz, which provides a close link between the geometry of a variety V and the algebra of its coordinate ring A=k[V]; however, many of the geometric ideas arising from varieties apply also to fairly general rings. The final chapter relates the material of the book to more advanced topics in commutative algebra and algebraic geometry. It includes an account of some famous 'pathological' examples of Akizuki and Nagata, and a brief but thought-provoking essay on the changing position of abstract algebra in today's world.

Commutative Ring Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521367646
Total Pages : 338 pages
Book Rating : 4.3/5 (676 download)

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Book Synopsis Commutative Ring Theory by : Hideyuki Matsumura

Download or read book Commutative Ring Theory written by Hideyuki Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

OpenGL Programming Guide

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Publisher : Addison-Wesley Professional
ISBN 13 : 0134495535
Total Pages : 1528 pages
Book Rating : 4.1/5 (344 download)

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Book Synopsis OpenGL Programming Guide by : John Kessenich

Download or read book OpenGL Programming Guide written by John Kessenich and published by Addison-Wesley Professional. This book was released on 2016-07-25 with total page 1528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete Coverage of OpenGL® 4.5—the Latest Version (Includes 4.5, 4.4, SPIR-V, and Extensions) The latest version of today’s leading worldwide standard for computer graphics, OpenGL 4.5 delivers significant improvements in application efficiency, flexibility, and performance. OpenGL 4.5 is an exceptionally mature and robust platform for programming high-quality computer-generated images and interactive applications using 2D and 3D objects, color images, and shaders. OpenGL® Programming Guide, Ninth Edition, presents definitive, comprehensive information on OpenGL 4.5, 4.4, SPIR-V, OpenGL extensions, and the OpenGL Shading Language. It will serve you for as long as you write or maintain OpenGL code. This edition of the best-selling “Red Book” fully integrates shader techniques alongside classic, function-centric approaches, and contains extensive code examples that demonstrate modern techniques. Starting with the fundamentals, its wide-ranging coverage includes drawing, color, pixels, fragments, transformations, textures, framebuffers, light and shadow, and memory techniques for advanced rendering and nongraphical applications. It also offers discussions of all shader stages, including thorough explorations of tessellation, geometric, and compute shaders. New coverage in this edition includes Thorough coverage of OpenGL 4.5 Direct State Access (DSA), which overhauls the OpenGL programming model and how applications access objects Deeper discussions and more examples of shader functionality and GPU processing, reflecting industry trends to move functionality onto graphics processors Demonstrations and examples of key features based on community feedback and suggestions Updated appendixes covering the latest OpenGL libraries, related APIs, functions, variables, formats, and debugging and profiling techniques