Fundamental mathematical analysis / (Record no. 46358)

MARC details
000 -LEADER
fixed length control field 02459cam a2200277M 4500
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251211151628.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200803s2020 xx o 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783030463212
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 3030463214
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 3030463206
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9783030463205
041 ## - LANGUAGE CODE
Language English
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35
Item number MAG
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Magnus, Robert
245 10 - TITLE STATEMENT
Title Fundamental mathematical analysis /
Statement of responsibility, etc Robert Magnus
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Switzerland :
Name of publisher, distributor, etc Springer, Cham,
Date of publication, distribution, etc 2020.
300 ## - PHYSICAL DESCRIPTION
Extent xx, 433 pages :
505 ## - FORMATTED CONTENTS NOTE
Contents 1 Introduction.- 2 Real Numbers.- 3 Sequences and Series.- 4 Functions and Continuity.- 5 Derivatives and Differentiation.- 6 Integrals and Integration.- 7 The Elementary Transcendental Functions.- 8 The Techniques of Integration.- 9 Complex Numbers.- 10 Complex Sequences and Series.- 11 Function Sequences and Function Series.- 12 Improper Integrals.- Index.
520 ## - SUMMARY, ETC.
Summary, etc This textbook offers a comprehensive undergraduate course in real analysis in one variable. Taking the view that analysis can only be properly appreciated as a rigorous theory, the book recognises the difficulties that students experience when encountering this theory for the first time, carefully addressing them throughout. Historically, it was the precise description of real numbers and the correct definition of limit that placed analysis on a solid foundation. The book therefore begins with these crucial ideas and the fundamental notion of sequence. Infinite series are then introduced, followed by the key concept of continuity. These lay the groundwork for differential and integral calculus, which are carefully covered in the following chapters. Pointers for further study are included throughout the book, and for the more adventurous there is a selection of "nuggets", exciting topics not commonly discussed at this level. Examples of nuggets include Newton's method, the irrationality of pi, Bernoulli numbers, and the Gamma function. Based on decades of teaching experience, this book is written with the undergraduate student in mind. A large number of exercises, many with hints, provide the practice necessary for learning, while the included "nuggets" provide opportunities to deepen understanding and broaden horizons.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ezproxy.lib.gla.ac.uk/login?url=https://link.springer.com/10.1007/978-3-030-46321-2">https://ezproxy.lib.gla.ac.uk/login?url=https://link.springer.com/10.1007/978-3-030-46321-2</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type General Books
856 40 - ELECTRONIC LOCATION AND ACCESS
Public note Connect to resource
907 ## - LOCAL DATA ELEMENT G, LDG (RLIN)
a .b36417488
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Location Shelving location Date of Cataloging Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Non-fiction CUTN Central Library CUTN Central Library Sciences 11/12/2025   515.35 MAG 54651 11/12/2025 11/12/2025 General Books