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024 7 $a10.1007/978-3-319-09438-0
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035   $a(DE-He213)978-3-319-09438-0
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100   $a20141030d2014      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aCalculus with Vectors$b[electronic resource] /$fby Jay S. Treiman
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (IX, 399 p. 282 illus., 250 illus. in color.)
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-09437-8 
327   $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.
330   $aCalculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM. fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. All three-dimensional graphs have rotatable versions included as extra source materials and may be freely downloaded and manipulated with Maple Player; a free Maple Player App is available for the iPad on iTunes. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits, and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
606   $aIntegral transforms
606   $aOperational calculus
606   $aSequences (Mathematics)
606   $aPhysics
606   $aIntegral Transforms, Operational Calculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12112
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
615  0$aIntegral transforms.
615  0$aOperational calculus.
615  0$aSequences (Mathematics).
615  0$aPhysics.
615 14$aIntegral Transforms, Operational Calculus.
615 24$aSequences, Series, Summability.
615 24$aMathematical Methods in Physics.
676   $a515.72
700   $aTreiman$b Jay S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721251
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299983003321
996   $aCalculus with vectors$91409840
997   $aUNINA