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Elementary Number Theory (Springer Undergraduate Mathematics Series)
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Elementary Number Theory (Springer Undergraduate Mathematics Series)
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples.
Elementary Number Theory (Springer Undergraduate Mathematics Series)
Item #: 33528871

Elementary Number Theory (Springer Undergraduate Mathematics Series)

Item #: 33528871

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An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples.
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What Stands Out

Comprehensive Coverage
This edition offers in-depth explanations of fundamental concepts in number theory, making it suitable for undergraduates seeking a thorough understanding of the subject.
Pedagogical Approach
Designed for learners, it includes numerous examples and exercises that reinforce concepts, ensuring students can apply theoretical knowledge practically.
Accessibly Priced
As part of the Springer Undergraduate Mathematics Series, this corrected edition is affordably priced, providing high-quality educational content for budget-conscious students.

Product Details

Shop Elementary Number Theory (Springer Undergraduate Mathematics Series) online at a best price in Faroe Islands. 3540761977
  • Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back­ ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el­ ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students would expect to meet in the first year or so of a typical undergraduate course in math­ ematics. Throughout the book, we have attempted to explain our arguments as fully and as clearly as possible, with plenty of worked examples and with outline solutions for all the exercises. There are several good reasons for choosing number theory as a subject. It has a long and interesting history, ranging from the earliest recorded times to the present day (see Chapter 11, for instance, on Fermat's Last Theorem), and its problems have attracted many of the greatest mathematicians; consequently the study of number theory is an excellent introduction to the development and achievements of mathematics (and, indeed, some of its failures). In particular, the explicit nature of many of its problems, concerning basic properties of inte­ gers, makes number theory a particularly suitable subject in which to present modern mathematics in elementary terms.
Publisher Springer
Publication date January 14, 1998
Edition Corrected
Language English
Print length 200 pages
ISBN-10 3540761977
ISBN-13 978-3540761976
Item Weight 1.2 pounds (540 grams)
Dimensions 7.01 x 0.72 x 9.25 inches (17.8 x 1.8 x 23.5 cm)
Part of series Springer Undergraduate Mathematics

Who Should Buy?

Suitable For
  • Students of Mathematics

    Ideal for undergraduate students seeking a foundational understanding of number theory and its applications in mathematics.

  • Self-Learners

    Great for individuals who wish to independently study number theory with structured explanations and exercises to enhance learning.

  • Instructors and Educators

    Useful for teachers looking for a comprehensive resource to recommend to students or for structuring their number theory curriculum.

Not Suitable For
  • Advanced Mathematicians

    Less suitable for experts who may find the content too basic and lacking in advanced theoretical discussions.

  • Casual Readers

    Not recommended for those looking for light reading; focuses heavily on theoretical concepts and academic rigor.

  • Non-Mathematical Background

    Individuals without a solid mathematics foundation may struggle with the concepts and terminology presented in the book.

Product Description

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Customer Questions & Answers

  • Question: What is the primary focus of Elementary Number Theory?

    Answer: Elementary Number Theory primarily focuses on the study of integers and the relationships between them. This includes concepts such as prime numbers, divisibility, congruences, and various theorems associated with these topics. This subject often serves as a fundamental entry point for students interested in advanced mathematics, providing the tools necessary for exploring more complex theories in algebra and cryptography.
  • Question: Who is the intended audience for the Corrected Edition of Elementary Number Theory?

    Answer: The Corrected Edition of Elementary Number Theory is aimed at undergraduate mathematics students, but it is also suitable for anyone with a basic understanding of math looking to deepen their knowledge. This edition features carefully revised content to clarify explanations and improve learning outcomes, making it an excellent resource for self-study or classroom support.
  • Question: What topics are covered in this edition?

    Answer: This edition covers a wide array of topics including number divisibility, the distribution of prime numbers, modular arithmetic, and Diophantine equations. Each chapter is designed to build on the previous material, making it useful for both new learners and those revisiting the subject. Whether you are preparing for exams or looking to enhance your mathematical reasoning, the topics are organized to facilitate understanding and application.
  • Question: How does this textbook differ from other number theory books?

    Answer: The Corrected Edition of Elementary Number Theory stands out due to its clear exposition, diverse problem sets, and comprehensive approach to foundational concepts. It emphasizes both theoretical understanding and practical application, making it user-friendly. Compared to other texts that may be overly complex, this book simplifies many ideas without sacrificing depth, making it a valuable choice for both students and instructors.
  • Question: Are there problem sets included in the textbook?

    Answer: Yes, this textbook includes numerous problem sets at the end of each chapter, which are essential for reinforcing the material learned. These exercises range from theoretical questions to practical applications, allowing students to test their understanding and enhance their problem-solving skills. Working through these problems is beneficial for exam preparations and to gain a deeper grasp of number theory concepts.
  • Question: Is the Corrected Edition suitable for self-study?

    Answer: Absolutely! The Corrected Edition is designed with self-study in mind, featuring clear explanations and examples that make complex topics accessible. The organization of the material allows learners to progress at their own pace, and the inclusion of exercises facilitates independent practice. Whether you are a self-motivated learner or supplementing your coursework, this textbook provides the necessary resources for effective study.
  • Question: What prerequisites are needed to understand the material in this book?

    Answer: A basic understanding of high school mathematics, particularly algebra and fundamentals of proof, is recommended for learners approaching Elementary Number Theory. Familiarity with concepts such as functions and mathematical notation will greatly aid in understanding the topics presented. This foundational knowledge will allow readers to fully engage with the material and tackle the complex ideas introduced throughout the book.
  • Question: Can this book be used for advanced studies in mathematics?

    Answer: While primarily targeted at undergraduates, the Corrected Edition of Elementary Number Theory can serve as a stepping stone for advanced studies in mathematics, particularly in areas such as algebra, cryptography, and combinatorial number theory. The foundational concepts introduced can lead to deeper mathematical theories and applications, making it a solid investment for anyone looking to pursue mathematical research or education.
  • Question: Are there any online resources available to complement this textbook?

    Answer: Yes, there are several online resources that complement Elementary Number Theory. These may include video lectures, problem solvers, websites offering additional practice problems, and forums for discussing concepts with other students. Utilizing these resources alongside the textbook can enhance understanding and provide various perspectives on the material, making it easier to grasp the more challenging aspects of number theory.
  • Question: Where can I buy Elementary Number Theory (Springer Undergraduate Mathematics Series) Corrected Edition?

    Answer: You can buy the Elementary Number Theory (Springer Undergraduate Mathematics Series) Corrected Edition on Ubuy. They provide a reliable platform for obtaining this textbook, making it accessible for readers in Faroe Islands. Ubuy often features various editions and formats of the book, ensuring that you can find what you need for your educational journey.

Number Theory Editorial Review

The Elementary Number Theory book in the Springer Undergraduate Mathematics series is a great source of topics for those looking to teach the subject at the elementary level. The writing is clear, and the book provides a unique way of looking at mathematical history that complements the straight timeline often seen. The combined introduction to number theory, practice of full proof writing, and exercises and solutions are laudable. However, it is not the meatiest text for those seeking a stripped-down introduction to number theory concepts without putting in work. Those who take the time to work through the book's questions will appreciate the pacing and the uniquely engaging way that the questions are presented in-chapter. The text struggles with difficult-to-understand solutions in the back of the book, which may lead to frustration among some readers. The book is also slightly more challenging than other number theory texts, and some readers may find the reading tough-going. Despite its limitations, the Elementary Number Theory book is an excellent source of material for teaching elementary number theory, and its engaging in-chapter questions are enough to make it among the best books on the subject.

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Pros

  • Clear writing and unique perspective on mathematical history
  • Good source of topics for elementary level teaching
  • Combined introduction to number theory, proof writing practice, and exercises/solutions
  • Engaging in-chapter questions

Cons

  • Difficult-to-understand solutions in the back of the book

Product Price History

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DKK 272

DKK 386

Order now and get it around Wednesday, June 24

QTY:

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Ubuy works hard to protect your security and privacy. Our advanced payment security system ensures confidentiality by encrypting your information during transmission using AES (Advanced Encryption Standards) and SSL (Secure Socket Layer) protocols. Your payment details are 100% secure as we do not share your payment details with third party sellers.

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Features & Benefits

  • Fully-explained proofs
  • Examples given
  • Exercises and solutions integrated
  • Includes ideas from algebra and analysis
  • Covers quadratic residues and arithmetic functions
  • Concise account of Fermat's Last Theorem