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Numéro d'article:
131606483
Universitext Arithmetics, Book 0, (Paperback)
Numéro d'article:
131606483
MUR 4621
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Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research.
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Ce qui se démarque
Comprehensive Coverage
Universitext Arithmetics offers in-depth exploration of arithmetic concepts, making it ideal for students and educators seeking a thorough understanding of foundational mathematics.
Accessible Format
The paperback format provides a portable and user-friendly resource, allowing students to easily reference key concepts and examples both in and out of the classroom.
Educational Focus
Designed specifically for academic use, the book emphasizes clear explanations and practical applications, ensuring learners can apply arithmetic principles effectively in various contexts.
Détails du produit
- Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled Developments and Open Problems, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text.
| Book format | Paperback |
| Fiction/nonfiction | Non-Fiction |
| Genre | Textbooks |
| Publication date | August, 2011 |
| Pages | 322 |
| Subgenre | Algebra |
| Series title | Universitext |
| Edition | 2011 Edition |
| Publisher | Springer London |
| Original languages | English |
| Language | English |
| Edu focus | Mathematics |
| Educational level | Higher |
| Is collectible | N |
| Binding type | Perfect Binding |
| Recording time | 0 min |
| Retail packaging | Single Piece |
| Assembled product dimensions (l x w x h) | 6.00 x 0.80 x 9.00 in (15.2 x 2 x 22.9 cm) |
| Assembled product weight | 0.95 lb (430 grams) |
| Bisac subject heading | Mathematics |
À qui est-ce destiné ?
-
Students of Mathematics
Ideal for university students seeking a comprehensive introduction to arithmetic concepts and techniques in mathematical education.
-
Math Instructors
Useful for educators looking for well-structured content to teach basic arithmetic to undergraduate or introductory courses.
-
Self-learners
Great resource for independent learners who want to strengthen their arithmetic skills through clear explanations and exercises.
-
Advanced Mathematicians
Not suitable for individuals with advanced knowledge as the content covers foundational arithmetic without complex theories.
DESCRIPTION DU PRODUIT
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Questions et réponses des clients
-
question:
What level of mathematics is required to read this book?
répondre: Prerequisites include undergraduate level algebra and a little topology of Rn. -
question:
Who is the intended audience for this book?
répondre: It's designed for undergraduates, graduates, PhD students, and professional mathematicians. -
question:
Does the book include exercises?
répondre: Yes, it contains a copious list of exercises with varying levels of difficulty.
Marc Hindry All Books Editorial Review
Universitext Arithmetics, Book 0, (Paperback) is an essential non-fiction textbook published by Springer London in August 2011, focusing on higher-level mathematics and specifically, algebra. With 322 pages filled with clear explanations and illustrative examples, it supports students engaging in advanced mathematical concepts. The perfect binding ensures durability, while its manageable size makes it a convenient resource for both classroom and self-study. Readers appreciate its structured approach to arithmetics, fostering a deeper understanding of mathematical principles essential for academic success.
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Avantages
- Comprehensive coverage of algebraic concepts
- Ideal for higher education students
- Clear explanations and examples
- Durable perfect binding for longevity
- Manageable size for easy handling
Les inconvénients
- Might not cover advanced topics extensively
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Caractéristiques et avantages
- Elementary introduction to number theory.
- Covers various areas of research within mathematics.
- Suitable for undergraduates, graduates, and PhD students.
- Includes a wide range of exercises with varying difficulty.
- Features advanced topics like elliptic curves and ongoing research themes.
- Perfect as a reference text for professional mathematicians.
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