Diophantine Equations and Power Integral Bases PDF Download
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Author: Istvan Gaal
Publisher: Springer Science & Business Media
ISBN: 1461200857
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Author: Istvan Gaal
Publisher: Springer Science & Business Media
ISBN: 1461200857
Category : Mathematics
Languages : en
Pages : 192
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Book Description
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Author: William Edward Hodgson Berwick
Publisher:
ISBN:
Category : Algebraic number theory
Languages : en
Pages : 112
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Book Description
Author: István Gaál
Publisher: Springer Nature
ISBN: 3030238652
Category : Mathematics
Languages : en
Pages : 335
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Book Description
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
Author: Shari A. Prevost
Publisher: American Mathematical Soc.
ISBN: 0821825275
Category : Mathematics
Languages : en
Pages : 113
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Book Description
We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.
Author: David Mitzman
Publisher: American Mathematical Soc.
ISBN: 0821850431
Category : Mathematics
Languages : en
Pages : 170
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Book Description
A revised version of the author's PhD thesis written under the supervision of J Lepowsky at Rutgers University in 1983.
Author: Timothy Rasinski
Publisher: Teacher Created Materials
ISBN: 1480774669
Category :
Languages : en
Pages : 13
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Book Description
Make learning mathematics vocabulary fun with a roots approach! This lesson, geared towards secondary students, focuses on root words for mathematics and includes teaching tips and strategies, standards-based lessons, and student activity pages.
Author: Antoinette Marie Killen
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 40
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Book Description
Author: Harendra Singh
Publisher: Springer Nature
ISBN: 3030655091
Category : Technology & Engineering
Languages : en
Pages : 255
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Book Description
This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations
Author: Giuseppe Di Battista
Publisher: Springer
ISBN: 3540396586
Category : Computers
Languages : en
Pages : 810
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Book Description
This book constitutes the refereed proceedings of the 11th Annual European Symposium on Algorithms, ESA 2003, held in Budapest, Hungary, in September 2003. The 66 revised full papers presented were carefully reviewed and selected from 165 submissions. The scope of the papers spans the entire range of algorithmics from design and mathematical analysis issues to real-world applications, engineering, and experimental analysis of algorithms.
Author: Olivier Bordellès
Publisher: Springer Nature
ISBN: 3030549461
Category : Mathematics
Languages : en
Pages : 782
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Book Description
This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
