Introduction to Mathematical Proofs 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Roberts, Charles E., Jr. 作者

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出版日期

425 页数

$ 146.05 价格

丛书系列

9781420069556 图书编码

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发表于2024-11-07

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Introduction to Mathematical Proofs 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Introduction to Mathematical Proofs 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Shows How to Read and Write Mathematical ProofsIdeal Foundation for More Advanced Mathematics CoursesIntroduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. It helps students develop the skills necessary to write clear, correct, and concise proofs.Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It will prepare them to succeed in more advanced mathematics courses, such as abstract algebra and geometry.

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