The item you selected is unavailable, but we found something similar.

Picture 1 of 1

Stock photo

A First Course In Real Analysis - Picture 1 of 1

Undergraduate Texts in Mathematics Ser.: A First Course in Real Analysis by Sterling K. Berberian (1998, Hardcover)

Be the first towrite a review.

Prepbooks (188555)
99.7% positive feedback

Price:

$54.40

Free shipping

Estimated delivery Tue, Apr 23 - Fri, Apr 26

Returns:

30 days returns. Buyer pays for return shipping.

Condition:

Brand New

Number of Pages: 240. Weight: 1.1 lbs. Publication Date: 1998-03-16. Publisher: SPRINGER NATURE.

About this product

Product Information

Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along theway, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387942173
ISBN-13
9780387942179
eBay Product ID (ePID)
887525

Product Key Features

Author
Sterling K. Berberian
Publication Name
First Course in Real Analysis
Format
Hardcover
Language
English
Publication Year
1998
Series
Undergraduate Texts in Mathematics Ser.
Type
Textbook
Number of Pages
Xi, 240 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
19.6 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa331.5
Table of Content
1 Axioms for the Field ? of Real Numbers.- §1.1. The field axioms.- §1.2. The order axioms.- §1.3. Bounded sets, LUB and GLB.- §1.4. The completeness axiom (existence of LUB's).- 2 First Properties of ?.- §2.1. Dual of the completeness axiom (existence of GLB's).- §2.2. Archimedean property.- §2.3. Bracket function.- §2.4. Density of the rationals.- §2.5. Monotone sequences.- §2.6. Theorem on nested intervals.- §2.7. Dedekind cut property.- §2.8. Square roots.- §2.9. Absolute value.- 3 Sequences of Real Numbers, Convergence.- §3.1. Bounded sequences.- §3.2. Ultimately, frequently.- §3.3. Null sequences.- §3.4. Convergent sequences.- §3.5. Subsequences, Weierstrass-Bolzano theorem.- §3.6. Cauchy's criterion for convergence.- §3.7. limsup and liminf of a bounded sequence.- 4 Special Subsets of ?.- §4.1. Intervals.- §4.2. Closed sets.- §4.3. Open sets, neighborhoods.- §4.4. Finite and infinite sets.- §4.5. Heine-Borel covering theorem.- 5 Continuity.- §5.1. Functions, direct images, inverse images.- §5.2. Continuity at a point.- §5.3. Algebra of continuity.- §5.4. Continuous functions.- §5.5. One-sided continuity.- §5.6. Composition.- 6 Continuous Functions on an Interval.- §6.1. Intermediate value theorem.- §6.2. n'th roots.- §6.3. Continuous functions on a closed interval.- §6.4. Monotonic continuous functions.- §6.5. Inverse function theorem.- §6.6. Uniform continuity.- 7 Limits of Functions.- §7.1. Deleted neighborhoods.- §7.2. Limits.- §7.3. Limits and continuity.- §7.4. ?,?characterization of limits.- §7.5. Algebra of limits.- 8 Derivatives.- §8.1. Differentiability.- §8.2. Algebra of derivatives.- §8.3. Composition (Chain Rule).- §8.4. Local max and min.- §8.5. Mean value theorem.- 9 Riemann Integral.- §9.1. Upper and lower integrals: the machinery.- §9.2. First properties of upper and lower integrals.- §9.3. Indefinite upper and lower integrals.- §9.4. Riemann-integrable functions.- §9.5. An application: log and exp.- §9.6. Piecewise pleasant functions.- §9.7.Darboux's theorem.- §9.8. The integral as a limit of Riemann sums.- 10 Infinite Series.- §10.1. Infinite series: convergence, divergence.- §10.2. Algebra of convergence.- §10.3. Positive-term series.- §10.4. Absolute convergence.- 11 Beyond the Riemann Integral.- §11.1 Negligible sets.- §11.2 Absolutely continuous functions.- §11.3 The uniqueness theorem.- §11.4 Lebesgue's criterion for Riemann-integrability.- §11.5 Lebesgue-integrable functions.- §A.1 Proofs, logical shorthand.- §A.2 Set notations.- §A.3 Functions.- §A.4 Integers.- Index of Notations.
Copyright Date
1994
Topic
Number Theory, Mathematical Analysis
Lccn
93-046020
Dewey Decimal
515
Intended Audience
Scholarly & Professional
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics

All listings for this product

item 1 A First Course in Real Analysis (Undergraduate Texts in Mathematics) [Hardcover]
$20.20
+$4.00 shipping
item 2 A First Course in Real Analysis (Undergraduate Texts in Mathematics), Berberian,
$25.46
Free shipping
item 3 A First Course in Real Analysis Hardcover Sterling K. Berberian
$26.34
Free shipping
item 4 A First Course in Real Analysis (Undergraduate Texts in - ACCEPTABLE
$27.11
Free shipping
item 5 A First Course in Real Analysis (Undergraduate Texts in Mathematics)
$19.99
+$12.99 shipping
item 6 A FIRST COURSE IN REAL ANALYSIS (UNDERGRADUATE TEXTS IN By Sterling K. Berberian
$50.75
Free shipping
item 7 A First Course In Real Analysis
$54.40
Free shipping

See all 9

Best Selling in Textbooks

See all

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)
5.0 out of 5 stars based on 6 product ratings
$11.66 New
---- Used
PMBOK® Guide Ser.: Guide to the Project Management Body of Knowledge (PMBOK Guide) and the Standard for Project Management by Project Management Institute (2021, Trade Paperback)
4.9 out of 5 stars based on 7 product ratings
$18.79 New
$17.99 Used
Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)
5.0 out of 5 stars based on 14 product ratings
$34.99 New
---- Used
Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)
4.6 out of 5 stars based on 15 product ratings
$35.06 New
$32.99 Used
National Electrical Code 2023 by (NFPA) National Fire Protection Association (2022, Trade Paperback)
5.0 out of 5 stars based on 2 product ratings
$34.79 New
$29.99 Used
Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)
5.0 out of 5 stars based on 4 product ratings
$15.00 New
---- Used
NFPA 70® Handbook with Tabs : 2023 Edition by National Fire Protection Association (NFPA) (2022, Hardcover)
No ratings or reviews yet
$58.99 New
$58.97 Used

Save on Textbooks

Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Save on Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR
$11.66
Trending at $13.18
PMBOK A Guide to the Project Management Body of Knowledge 7th edition (Pb) 📋
$17.99
Trending at $34.20
Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR Brand new
$32.00
Trending at $41.00
Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck(2020)
$18.95
Trending at $19.89
National Electrical Code 2023 Edition by National Fire Protection SPIRAL
$35.30
Trending at $40.50
Natural Remedies For All Kind of Disease Inspired by Barbara O'Neill's Teachings
$16.49
Trending at $17.93

Shop by category

Picture 1 of 1

Undergraduate Texts in Mathematics Ser.: A First Course in Real Analysis by Sterling K. Berberian (1998, Hardcover)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 A First Course in Real Analysis (Undergraduate Texts in Mathematics) [Hardcover]

item 2 A First Course in Real Analysis (Undergraduate Texts in Mathematics), Berberian,

item 3 A First Course in Real Analysis Hardcover Sterling K. Berberian

item 4 A First Course in Real Analysis (Undergraduate Texts in - ACCEPTABLE

item 5 A First Course in Real Analysis (Undergraduate Texts in Mathematics)

item 6 A FIRST COURSE IN REAL ANALYSIS (UNDERGRADUATE TEXTS IN By Sterling K. Berberian

item 7 A First Course In Real Analysis

Best Selling in Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

PMBOK® Guide Ser.: Guide to the Project Management Body of Knowledge (PMBOK Guide) and the Standard for Project Management by Project Management Institute (2021, Trade Paperback)

Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

National Electrical Code 2023 by (NFPA) National Fire Protection Association (2022, Trade Paperback)

Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck (2020, Hardcover)

NFPA 70® Handbook with Tabs : 2023 Edition by National Fire Protection Association (NFPA) (2022, Hardcover)

Save on Textbooks

Desk Reference to the Diagnostic Criteria from DSM-5-TR

PMBOK A Guide to the Project Management Body of Knowledge 7th edition (Pb) 📋

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR Brand new

Cognitive Behavior Therapy : Basics and Beyond by Judith S. Beck(2020)

National Electrical Code 2023 Edition by National Fire Protection SPIRAL

Natural Remedies For All Kind of Disease Inspired by Barbara O'Neill's Teachings

You may also like

Mathematics Hardcover Textbooks

Mathematics Textbook Hardcover Textbooks

Hardcover Language Course

Mathematics Study Hardcovers Prep

Mathematics Hardcover Illustrated Nonfiction Books

Mathematics Hardcover Antiquarian & Collectible Books