عنوان

Problems and proofs in numbers and algebra

شابک

9783319144269

کد کشور

IR

شماره

10373

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Problems and proofs in numbers and algebra

نام عام مواد

[Book]

نام نخستين پديدآور

/Richard S. Millman, Peter J. Shiue, Eric Brendan Kahn.

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

Springer International Publishing : Imprint: Springer

تاریخ نشرو بخش و غیره

, 2015.

نام خاص و کميت اثر

X, 223 pages 9 illustrations

متن يادداشت

Language: انگلیسی

متن يادداشت

Print

متن يادداشت

Designed to facilitate the transition from undergraduate calculus and differential equations to learning about proofs, this book helps students develop the rigorous mathematical reasoning needed for advanced courses in analysis, abstract algebra, and more. Students will focus on both how to prove theorems and solve problem sets in-depth; that is, where multiple steps are needed to prove or solve. This proof technique is developed by examining two specific content themes and their applications in-depth: number theory and algebra. This choice of content themes enables students to develop an understanding of proof technique in the context of topics with which they are already familiar, as well as reinforcing natural and conceptual understandings of mathematical methods and styles. The key to the text is its interesting and intriguing problems, exercises, theorems, and proofs, showing how students will transition from the usual, more routine calculus to abstraction while also learning how to "prove" or "solve" complex problems. This method of instruction is augmented by examining applications of number theory in systems such as RSA cryptography, Universal Product Code (UPC), and International Standard Book Number (ISBN). The numerous problems and examples included in each section reward curiosity and insightfulness over more simplistic approaches. Each problem set begins with a few easy problems, progressing to problems or proofs with multi-step solutions. Exercises in the text stay close to the examples of the section, allowing students the immediate opportunity to practice developing techniques. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge.

عنصر شناسه ای

Algebra

عنصر شناسه ای

Mathematical logic.

عنصر شناسه ای

Number theory.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Millman, Richard S, author.

مستند نام اشخاص تاييد نشده

Kahn, Eric Brendan, author.

مستند نام اشخاص تاييد نشده

Shiue, Peter J, author.

کشور

ایران

سازمان

دانشگاه محقق اردبیلی

تاريخ عمليات

20231204

وضعیت فهرست نویسی

old catalog

فرمت انتشار

p

نوع ماده

BL

کد کاربرگه

270410

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y