The elements of advanced mathematics
著者
書誌事項
The elements of advanced mathematics
（Textbooks in mathematics）
CRC Press, c2018
4th ed
- : hardback
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注記
"A Chapman & Hall book"
Includes bibliographical references (p. 375-378) and index
内容説明・目次
内容説明
The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author's bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements.
The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics.
Presents a concise presentation of the material
Covers logic, sets and moves to more advanced topics including topology
Provides greater coverage of number theory and cryptography
Streamlined to focus on the core of this course
目次
Basic Logic. Methods of Proof. Set Theory. Chapter 4 Relations and Functions. Axioms of Set Theory, Paradoxes, and Rigor. Number Systems. More on the Real Number System. A Glimpse of Topology. Elementary Number Theory. Zero-Knowledge Proofs and Cryptography.
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