Ordinary Differential Equations with Applications (Texts in Applied Mathematics)

4 avg rating
( 1 ratings by Goodreads )
 
9780387307695: Ordinary Differential Equations with Applications (Texts in Applied Mathematics)

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

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

From the Back Cover:

This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra.

The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula.  The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations.

Reviews of the first edition:

``As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review

``The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews

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

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

Carmen Chicone
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Paperback Quantity Available: > 20
International Edition
Seller
US_Superfast_Bookstore
(New Castle, DE, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. This is an International Edition Brand New Paperback Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Standard Delivery within 6-14 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. Bookseller Inventory # UA9780387307695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 15.95
Convert Currency

Add to Basket

Shipping: US$ 2.65
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

2.

Chicone, Carmen
Published by Springer
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Softcover Quantity Available: > 20
International Edition
Seller
Sunshine Book Store
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description Springer. Book Condition: New. 0387307699 This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, ISBN and Cover design may differ, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Bookseller Inventory # SU9780387307695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 22.37
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

3.

Carmen Chicone
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Paperback Quantity Available: 5
International Edition
Seller
PRIORITY BOOKS
(springfield, VA, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. Softcover Book, Condition: New. 2nd Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 658 pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Bookseller Inventory # 314675

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 18.44
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

4.

Carmen Chicone
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Paperback Quantity Available: 1
International Edition
Seller
Nick Book House
(fresno, CA, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. New Softcover International Edition, Printed in Black and White, Only USPS Media mail Shipping ONLY, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Bookseller Inventory # 9749

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 18.54
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

5.

CHICONE CARMEN
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Quantity Available: 5
International Edition
Seller
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-95245

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 24.77
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

6.

CHICONE CARMEN
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Quantity Available: 5
International Edition
Seller
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB95245

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 24.82
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

7.

CHICONE CARMEN
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Softcover Quantity Available: 5
International Edition
Seller
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-95245

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 26.94
Convert Currency

Add to Basket

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

8.

Carmen Chicone
Published by Springer New York 2006-05-18, New York |Berlin (2006)
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Hardcover Quantity Available: > 20
Seller
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer New York 2006-05-18, New York |Berlin, 2006. hardback. Book Condition: New. Bookseller Inventory # 9780387307695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 56.51
Convert Currency

Add to Basket

Shipping: US$ 5.84
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Carmen Chicone
Published by Springer-Verlag New York Inc., United States (2006)
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Hardcover Quantity Available: 10
Seller
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2006. Hardback. Book Condition: New. 2nd ed. 2006. 236 x 152 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. Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions. Bookseller Inventory # LIE9780387307695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 65.56
Convert Currency

Add to Basket

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

10.

Carmen Chicone
Published by Springer-Verlag New York Inc. (2006)
ISBN 10: 0387307699 ISBN 13: 9780387307695
New Quantity Available: > 20
Print on Demand
Seller
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2006. HRD. 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 # IP-9780387307695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 69.05
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book