This new text/reference treats dynamical systems from a mathematical perspective, centering on multidimensional systems of real variables. Background material is carefully reviewed as it is used throughout the book, and ideas are introduced through examples. Numerous exercises help the reader understand presented theorems and master the techniques of the proofs and topic under consideration.
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. A proof of the existence and continuity of solutions with respect to initial conditions is included. Explicit formulas for the various bifurcations are included, and a treatment of the Hénon map and the Melnikov method is provided.
The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. Even the more local theory which is treated deals with characterizing types of solutions under various hypothesis. Later chapters deal more directly with more global aspects, with one chapter discussing various examples and later chapters giving the global theory.
"synopsis" may belong to another edition of this title.
"was impressed with the teachability of this text and with the exercises at the end of each chapter, which seemed be nicely graded in difficulty." -D. Givoli, APPLIED MECHANICS REVIEWS
"About this title" may belong to another edition of this title.
Seller: Last Exit Books, Charlottesville, VA, U.S.A.
Hardcover. Condition: Very Good. No DJ as issued/Pictoral boards. No ownership marks present. Text is clean and free of marks, binding tight and solid, boards clean with no wear present. Photos sent upon request. Bx-125; 8vo 8" - 9" tall. Seller Inventory # 51961
Seller: Fables Books, Goshen, IN, U.S.A.
Condition: good. A former library book with all the expected stamps, stickers and markings. Excellent condition for a former library book. Some shelf, storage or usage wear present. The binding is tight and all pages are present. Missing dustjacket, although it's unclear if one came with the book originally. The pages appear unmarked. Pictures available upon request. Individually inspected by Calla. Thanks for supporting an independent bookseller! Seller Inventory # FBV.0849384931.G
Seller: Betterbks/ COSMOPOLITAN BOOK SHOP, Burbank, CA, U.S.A.
Hardcover. Condition: Near Fine. No Jacket. 1st Edition. Octavo bound in black & green paper-covered boards. Diagrams. Near fine condition. Pages: xii, 468. Seller Inventory # 301151
Seller: Fireside Bookshop, Stroud, GLOS, United Kingdom
Cloth. Condition: Very Good. Type: Book N.B. Small plain label to inside front cover. Top corner of front board a little bumped. Seller Inventory # 055632
Quantity: 1 available