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| Author | : Izabella Grigorʹevna Bashmakova |
| Publisher | : Cambridge University Press |
| Total Pages | : 110 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 9780883855263 |
Semi-popular maths on an area of number theory related to Fermat.
| Author | : Isabella Grigoryevna Bashmakova |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 90 |
| Release | : 2019-01-29 |
| Genre | : Mathematics |
| ISBN | : 1470450496 |
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus--a person whose very existence has long been doubted by most historians of mathematics--will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 350 |
| Release | : 2010-09-02 |
| Genre | : Mathematics |
| ISBN | : 0817645497 |
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
| Author | : Istvan Gaal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 192 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461200857 |
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 | : Titu Andreescu |
| Publisher | : Springer |
| Total Pages | : 224 |
| Release | : 2015-06-29 |
| Genre | : Mathematics |
| ISBN | : 0387541098 |
This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.
| Author | : Thomas L. Heath |
| Publisher | : CUP Archive |
| Total Pages | : 406 |
| Release | : 1910 |
| Genre | : Algebra |
| ISBN | : |
| Author | : Robert Daniel Carmichael |
| Publisher | : |
| Total Pages | : 138 |
| Release | : 1915 |
| Genre | : Diophantine analysis |
| ISBN | : |
| Author | : Isabella Grigoryevna Bashmakova |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 106 |
| Release | : 2019-01-18 |
| Genre | : Mathematics |
| ISBN | : 1470450488 |
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus—a person whose very existence has long been doubted by most historians of mathematics—will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman, who notes the most recent developments including the proof of Fermat's Last Theorem.
| Author | : Oscar Levin |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 238 |
| Release | : 2018-07-30 |
| Genre | : |
| ISBN | : 9781724572639 |
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
| Author | : Isabella Bashmakova |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 196 |
| Release | : 2000-01-15 |
| Genre | : Mathematics |
| ISBN | : 1470457229 |
The elements of algebra were known to the ancient mesopotamians at least 4000 years ago. Today, algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? An illuminating read for historians of mathematics and working algebraists looking into the history of their subject.
