Difference Algebra PDF Download
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Author | : Alexander Levin |
Publisher | : Springer Science & Business Media |
Total Pages | : 528 |
Release | : 2008-04-19 |
Genre | : Mathematics |
ISBN | : 1402069472 |
Download Difference Algebra Book in PDF, ePub and Kindle
Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate.
Author | : Emil Artin |
Publisher | : Courier Dover Publications |
Total Pages | : 228 |
Release | : 2016-01-20 |
Genre | : Mathematics |
ISBN | : 048680920X |
Download Geometric Algebra Book in PDF, ePub and Kindle
This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.
Author | : M. Hazewinkel |
Publisher | : Elsevier |
Total Pages | : 542 |
Release | : 2006-05-30 |
Genre | : Mathematics |
ISBN | : 9780080462493 |
Download Handbook of Algebra Book in PDF, ePub and Kindle
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source for information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes
Author | : Paolo Aluffi |
Publisher | : American Mathematical Soc. |
Total Pages | : 713 |
Release | : 2021-11-09 |
Genre | : Education |
ISBN | : 147046571X |
Download Algebra: Chapter 0 Book in PDF, ePub and Kindle
Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
Author | : Richard M. Cohn |
Publisher | : |
Total Pages | : 384 |
Release | : 1965 |
Genre | : Difference Algebra |
ISBN | : |
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Author | : I. B. S. Passi |
Publisher | : Springer |
Total Pages | : 246 |
Release | : 1999-01-01 |
Genre | : Mathematics |
ISBN | : 9380250940 |
Download Algebra Book in PDF, ePub and Kindle
Contributed articles.
Author | : Edward Albert Bowser |
Publisher | : |
Total Pages | : 376 |
Release | : 1888 |
Genre | : Algebra |
ISBN | : |
Download Academic Algebra, for the Use of Common and High Schools and Academies ... Book in PDF, ePub and Kindle
Author | : John Bonnycastle |
Publisher | : |
Total Pages | : 296 |
Release | : 1844 |
Genre | : Algebra |
ISBN | : |
Download Bonnycastle's Introduction to Algebra Book in PDF, ePub and Kindle
Author | : Frederick K.S. Leung |
Publisher | : Springer |
Total Pages | : 266 |
Release | : 2014-10-13 |
Genre | : Education |
ISBN | : 9462097070 |
Download Algebra Teaching around the World Book in PDF, ePub and Kindle
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.
Author | : Quantum Scientific Publishing |
Publisher | : Quantum Scientific Publishing |
Total Pages | : 260 |
Release | : 2023-06-11 |
Genre | : Mathematics |
ISBN | : |
Download Algebra 2, Vol. IV: Lessons 136 - 180 Book in PDF, ePub and Kindle
Quantum Scientific Publishing (QSP) is committed to providing publisher-quality, low-cost Science, Technology, Engineering, and Math (STEM) content to teachers, students, and parents around the world. This book is the fourth of four volumes in Algebra 2, containing lessons 136 - 180. Volume I: Lessons 1 - 45 Volume II: Lessons 46 - 90 Volume III: Lessons 91 - 135 Volume IV: Lessons 136 - 180 This title is part of the QSP Science, Technology, Engineering, and Math Textbook Series.