000 02211nam a2200229Ia 4500
003 NULRC
005 20250520102816.0
008 250520s9999 xx 000 0 und d
020 _a9783319094373
040 _cNULRC
050 _aQA 303 .T74 2014
100 _aTreiman, Jay S.
_eauthor
245 0 _aCalculus with vectors /
_cJay S. Treiman.
260 _aCham, Switzerland :
_bSpringer,
_cc2014
300 _aix, 399 pages :
_bcolor illustrations ;
_c26 cm.
365 _bUSD43.75
504 _aIncludes bibliographical references and index.
505 _aPreface -- 1. Points and Vectors -- 2. Limits and Derivatives -- 3. More on Limits -- 4. Rules for Finding Derivatives -- 5. Applications of Limits and Derivatives -- 6. Integration -- 7. The Cross Product -- 8. More Techniques of Integration -- 9. Applications of Integration -- 10. Series -- Index.
520 _aCalculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM. fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. All three-dimensional graphs have rotatable versions included as extra source materials and may be freely downloaded and manipulated with Maple Player; a free Maple Player App is available for the iPad on iTunes. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits, and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems
650 _aVECTOR ANALYSIS
942 _2lcc
_cBK
999 _c15860
_d15860