Foundation Algebra PDF Download
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| Author | : Dietmar Hildenbrand |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 217 |
| Release | : 2012-12-31 |
| Genre | : Computers |
| ISBN | : 3642317944 |
Download Foundations of Geometric Algebra Computing Book in PDF, ePub and Kindle
The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.
| Author | : R.L. Cignoli |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 238 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 9401594805 |
Download Algebraic Foundations of Many-Valued Reasoning Book in PDF, ePub and Kindle
This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.
| Author | : K. Elayn Martin-Gay |
| Publisher | : Pearson |
| Total Pages | : |
| Release | : 2016-06-24 |
| Genre | : |
| ISBN | : 9780134582771 |
Download Algebra Foundations Life of Edition Access Code Book in PDF, ePub and Kindle
| Author | : Ramji Lal |
| Publisher | : Springer Nature |
| Total Pages | : 300 |
| Release | : 2021-02-27 |
| Genre | : Mathematics |
| ISBN | : 9813363266 |
Download Algebra 3 Book in PDF, ePub and Kindle
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.
| Author | : Pragnesh Gajjar |
| Publisher | : Bloomsbury Publishing |
| Total Pages | : 418 |
| Release | : 2020-02-04 |
| Genre | : Mathematics |
| ISBN | : 1350310581 |
Download Foundation Algebra Book in PDF, ePub and Kindle
This textbook teaches the fundamentals of algebra, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book. Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject. This text is intended for undergraduate students in engineering taking a course in algebra. It works for the Foundation and 1st year levels.
| Author | : André Weil |
| Publisher | : |
| Total Pages | : 363 |
| Release | : 1946 |
| Genre | : Geometry, Algebraic |
| ISBN | : 9781470431761 |
Download Foundations of Algebraic Geometry Book in PDF, ePub and Kindle
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
| Author | : McGraw Hill |
| Publisher | : McGraw-Hill Education |
| Total Pages | : 0 |
| Release | : 2009-01-22 |
| Genre | : Mathematics |
| ISBN | : 9780078908460 |
Download Math Triumphs--Foundations for Algebra 1 Book in PDF, ePub and Kindle
Math Triumphs is an intensive intervention resource for students who are two or more years below grade level. The series accompanies Glencoe Algebra 1, Geometry, and Algebra 2 and provides step-by-step intervention, vocabulary support, and data-driven decision making to help students succeed in high school mathematics.
| Author | : Andr Weil |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 386 |
| Release | : 1946-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821810294 |
Download Foundations of Algebraic Geometry Book in PDF, ePub and Kindle
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
| Author | : Rose A. McDonnell |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9780821582039 |
Download Progress in Mathematics Book in PDF, ePub and Kindle
| Author | : Gary Sherman |
| Publisher | : |
| Total Pages | : 192 |
| Release | : 2015-08-09 |
| Genre | : Computers |
| ISBN | : 9780978979164 |
Download The Algebra of Data Book in PDF, ePub and Kindle
There has never been a universal algebra of data. Mathematics has been widely employed by software in many ways: numerical analysis, statistics, algorithms, mathematical modeling, and so on, but it has never been used to formally define data in all its variety. This changed when mathematical research into data algebra--carried out for Algebraix Data Corporation by one of the authors of this book--matured and was tested in an extensive range of data management, data integration, and performance optimization contexts. The purpose of this book is to explain that data algebra. The book is undeniably and unashamedly a mathematics text. However, realizing that the readership would likely include many software developers and users as well as mathematicians, the book is written to be as accessible as possible to anyone with some mathematical skills. As such, this is not your grandfather's mathematics text. Between the various set theory assertions, expressions, and equations flows a narrative that is both surprising and entertaining. The subtitle of the book, A Foundation for the Data Economy, is not hyperbole. The mathematical definition of data, and the various set theoretical operations and functions that can be applied to it, provide a new approach to data. It will, in time, become the natural foundation for the emerging data economy that is already growing swiftly.
