Teaching students to first solve those differential equations that have the most frequent and interesting applications, this book introduces the principle ideas of each topic. Its numerical approach emphasizes that the effective and reliable use requires preliminary analysis using standard elementary techniques.
"synopsis" may belong to another edition of this title.
This popular introduction to elementary differential equations is widely hailed for its exceptional user-friendly exposition, range of real-world applications, numerical and computer material, and treatment of contemporary topics. It is a brief version of elementary differential equations with boundary value problems.From the Back Cover:
Maintaining a contemporary perspective, this strongly algebraic-oriented text provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus. Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the readers. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, readers need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text. Applications are highlighted throughout the text. These include: What explains the commonly observed lag time between indoor and outdoor daily temperature oscillations?; What makes the difference between doomsday and extinction in alligator populations?; How do a unicycle and a two-axle car react differently to road bumps?; Why are flagpoles hollow instead of solid?; Why might an earthquake demolish one building and leave standing the one next door?; How can you predict the time of next perihelion passage of a newly observed comet?; Why and when does non-linearity lead to chaos in biological and mechanical systems?; What explains the difference in the sounds of a guitar, a xylophone, and a drum? Includes almost 300 computer-generated graphics throughout the text. This text, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics readers take following calculus.
"About this title" may belong to another edition of this title.
Book Description Prentice Hall, 2003. Hardcover. Book Condition: New. BRAND NEW BOOK!! SHIPS WITHIN 24 HOURS! Tracking Provided. DHL processing & USPS delivery for an average of 3-5 Day Standard & 2-3 Day Expedited! FREE INSURANCE! Fast & Personal Support! Careful Packaging. No Hassle, Full Refund Return Policy!. Bookseller Inventory # mon0000618389
Book Description Prentice Hall, 2003. Hardcover. Book Condition: New. book. Bookseller Inventory # 013145773X
Book Description Prentice Hall, 2003. Hardcover. Book Condition: New. 5. Bookseller Inventory # DADAX013145773X
Book Description Prentice Hall, 2003. Hardcover. Book Condition: New. Bookseller Inventory # P11013145773X
Book Description Book Condition: Brand New. Book Condition: Brand New. Bookseller Inventory # 97801314577371.0