Electronic Resource

An invitation to abstract mathematics

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This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics.
Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise.
This second editionhas been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts.

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Ketersediaan

Informasi Detail

Judul Seri

Undergraduate Texts in Mathematics

No. Panggil

E557

Penerbit

Switzerland : Springer Cham., 2020

Deskripsi Fisik

xvi, 442hlm.

Bahasa

English

ISBN/ISSN

9783030561741

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

2

Subjek

Matematika
Teori Himpunan
Matematika Logika

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Béla Bajnok

Versi lain/terkait

Lampiran Berkas

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