عنوان

Understanding topology :

شابک

142142407X

شابک

1421424088

شابک

9781421424071

شابک

9781421424088

عنوان اصلي

Understanding topology :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a practical introduction /

نام نخستين پديدآور

Shaun V. Ault.

محل نشرو پخش و غیره

Baltimore :

نام ناشر، پخش کننده و غيره

Johns Hopkins University Press,

تاریخ نشرو بخش و غیره

2018.

تاریخ نشرو بخش و غیره

©2018

نام خاص و کميت اثر

x, 399 pages :

ساير جزييات

illustrations ;

ابعاد

26 cm

متن يادداشت

Includes bibliographical references (pages 391-394) and index.

متن يادداشت

1. Euclidean topology. Introduction to topology -- Metric topology in Euclidean space -- Vector field in the plane. 2. Abstract topology with applications. Abstract point-set topology -- Surfaces -- Applications in graphs and knots. 3. Basic algebraic topology. The fundamental group -- Introduction to homology. Appendixes. Review of set theory and functions -- Group theory and linear algebra -- Selected solutions -- Notations.

بدون عنوان

0

متن يادداشت

"This groundbreaking new text: presents Euclidean, abstract, and basic algebraic topology; explains metric topology, vector spaces and dynamics, point-set topology, surfaces, knot theory, graphs and map coloring, the fundamental group, and homology; includes worked example problems, solutions, and optional advanced sections for independent projects; [and] provides a brief review of set theory and functions and a summation of essential topics in group theory and linear algebra. Following a path that will work with any standard syllabus, the book is arranged to help students reach that 'Aha!' moment, encouraging readers to use their intuition through local-to-global analysis and emphasizing topological invariants to lay the groundwork for algebraic topology"--Back cover.

متن يادداشت

"Topology can present significant challenges for undergraduate students of mathematics and the sciences. 'Understanding topology' aims to change that. The perfect introductory topology textbook, 'Understanding topology' requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the book's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Ault's unique emphasis on fascinating applications, from chemical dynamics to determining the shape of the universe, will engage students in a way traditional topology textbooks do not"--Back cover.

موضوع مستند نشده

Topology.

موضوع مستند نشده

Topology.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Ault, Shaun V.,1979-

تاريخ عمليات

20200822182401.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y