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

3 avg rating
( 5 ratings by Goodreads )
 
9781461264330: A First Course in Real Analysis (Undergraduate Texts in Mathematics)

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 the way, (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.

"synopsis" may belong to another edition of this title.

Product Description:

The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Sterling K. Berberian
Published by Springer-Verlag New York Inc., United States (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 10
Seller
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. 235 x 155 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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 the way, (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. Softcover reprint of the original 1st ed. 1994. Bookseller Inventory # LIE9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
55.04
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

Sterling K. Berberian
Published by Springer-Verlag New York Inc., United States (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 10
Print on Demand
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. 235 x 155 mm. Language: English Brand New Book ***** Print on Demand *****.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 the way, (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. Softcover reprint of the original 1st ed. 1994. Bookseller Inventory # AAV9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
57.71
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Berberian, Sterling K.
Published by Springer (2016)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 1
Print on Demand
Seller
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9781461264330_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
56.67
Convert Currency

Add to Basket

Shipping: 3.87
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Sterling K. Berberian
Published by Springer-Verlag New York Inc. (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Quantity Available: > 20
Print on Demand
Seller
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2012. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
52.25
Convert Currency

Add to Basket

Shipping: 9
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Berberian, Sterling K.
Published by Springer (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Softcover Quantity Available: 15
Print on Demand
Seller
Rating
[?]

Book Description Springer, 2012. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
57.70
Convert Currency

Add to Basket

Shipping: 3.92
From Germany to U.S.A.
Destination, Rates & Speeds

6.

STERLING K. BERBERIAN
Published by Springer (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 1
Seller
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2012. Paperback. Book Condition: NEW. 9781461264330 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0406481

More Information About This Seller | Ask Bookseller a Question

Buy New
54
Convert Currency

Add to Basket

Shipping: 8
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Sterling K. Berberian
Published by Springer-Verlag New York Inc., United States (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 10
Print on Demand
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. 235 x 155 mm. Language: English . Brand New Book ***** Print on Demand *****. 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 the way, (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. Softcover reprint of the original 1st ed. 1994. Bookseller Inventory # AAV9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
63.48
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Sterling K. Berberian
Published by Springer-Verlag New York Inc. (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Quantity Available: > 20
Print on Demand
Seller
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2012. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
63.55
Convert Currency

Add to Basket

Shipping: 3.12
Within U.S.A.
Destination, Rates & Speeds

9.

Sterling K. Berberian
Published by Springer
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 20
Seller
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Rating
[?]

Book Description Springer. Paperback. Book Condition: New. Paperback. 240 pages. Dimensions: 9.2in. x 6.1in. x 0.6in.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 the way, (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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
69.15
Convert Currency

Add to Basket

Shipping: 3.09
Within U.S.A.
Destination, Rates & Speeds

10.

Berberian, Sterling K.
Published by Springer (2012)
ISBN 10: 1461264332 ISBN 13: 9781461264330
New Paperback Quantity Available: 10
Print on Demand
Seller
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2012. Paperback. Book Condition: New. This item is printed on demand. Bookseller Inventory # INGM9781461264330

More Information About This Seller | Ask Bookseller a Question

Buy New
72.51
Convert Currency

Add to Basket

Shipping: 3.12
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book