Application de l'algèbre à la géométrie ... Troisième édition PDF Download
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Author: Pierre Louis Marie BOURDON
Publisher:
ISBN:
Category :
Languages : en
Pages : 704
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Book Description
Author: Pierre Louis Marie BOURDON
Publisher:
ISBN:
Category :
Languages : en
Pages : 704
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Book Description
Author: C. JACOB (Capitaine d'Artillerie.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 740
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Book Description
Author: Mark V. Lawson
Publisher: CRC Press
ISBN: 1482246481
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra
Author: Siegfried Bosch
Publisher: Springer Nature
ISBN: 1447175239
Category : Mathematics
Languages : en
Pages : 504
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Book Description
Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited scope of pure Algebra by means of geometric construction principles. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic Number Theory, a field that used to be far away from Geometry. The new point of view paved the way for spectacular progress, such as the proof of Fermat's Last Theorem by Wiles and Taylor. This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject. A separate part presents the necessary prerequisites from Commutative Algebra, thereby providing an accessible and self-contained introduction to advanced Algebraic Geometry. Every chapter of the book is preceded by a motivating introduction with an informal discussion of its contents and background. Typical examples, and an abundance of exercises illustrate each section. Therefore the book is an excellent companion for self-studying or for complementing skills that have already been acquired. It can just as well serve as a convenient source for (reading) course material and, in any case, as supplementary literature. The present edition is a critical revision of the earlier text.
Author: M. Koecher
Publisher: Springer Science & Business Media
ISBN: 3642967728
Category : Mathematics
Languages : en
Pages : 299
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Book Description
Dieses Buch wendet sich an aIle, die durch Neigung oder Pflicht mit der Mathematik verbunden sind: Es so11 Studierende der Mathematik in Haupt-und Nebenfach, Lehrer fUr Mathematik oder Physik an weiterfUhrenden Schulen, ausgebildete Mathematiker und cum grano salis, interessierte Laien ansprechen. Aus ihm kann man als Anfiinger die Grundzuge der linearen Algebra und der analytischen Geometrie lernen. Es eignet sich dann gleichermaBen zur Weiterbildung, zur Vorbereitung auf Prufungen im Hochschulbereich und als bescheidenes Nachschlagewerk fUr grundlegende algebraische und geometrische Begriffe. Selbst manche Begriffe und Ergebnisse der Analysis findet man in die line are Algebra eingeordnet. Das Kapitel 4 (Elementar-Geometrie) und Teile der Kapitel I, 2 und 7 sind daruber hinaus fUr Aufbau- und Leistungskurse in weiterfUhrenden Schulen sowie fUr Proseminare gut geeignet. Aber auch der ausgebildete Mathematiker wird hin und wieder neue Ge sichtspunkte der linearen Algebra oder analytischen Geometrie entdecken und historische Bezuge kennenlernen. Das ausfUhrliche Inhaltsverzeichnis gibt eine gute Ubersicht uber den behandelten Stoff. Vom Inhalt her unterscheidet sich das vorliegende Buch von den meisten Buchern zur linearen Algebra: Der algebraische Teil ist nicht Selbstzweck, sondern versucht die Aspekte der linearen Algebra hervorzuheben, die auch fUr andere Teilgebiete der Mathema tik wesentlich sind. Von Anfang an wird auf wichtige Beispiele aus der Analysis besonderer Wert gelegt. Der Matrizen-und Determinantenkalkiil wird in teilweise neuer Form dar gestellt. Die analytische Geometrie in der Ebene und im Anschauungsraum hat neben den euklidischen Vektorriiumen ihren Platz. Die sphiirische Geometrie kann als Anwendung des Vektorproduktes kurz dargestellt werden.
Author: Christian Perwass
Publisher: Springer Science & Business Media
ISBN: 3540890688
Category : Computers
Languages : en
Pages : 389
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Book Description
The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.
Author: Siegfried Bosch
Publisher: Springer Science & Business Media
ISBN: 1447148290
Category : Mathematics
Languages : en
Pages : 508
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Book Description
Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.
Author:
Publisher:
ISBN:
Category : Libraries
Languages : en
Pages : 360
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Book Description
Author: South Kensington Museum
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 904
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Book Description
Author: Daniel Iagolnitzer
Publisher: World Scientific
ISBN: 9812382593
Category : Mathematics
Languages : en
Pages : 824
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Book Description
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to the field of mathematics and an age limit of 40 has become an accepted tradition. This volume presents contributions from Fields Medallists.
