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Calculus with Vectors: Springer Undergraduate Texts in Mathematics and Technology

Autor Jay S. Treiman
en Limba Engleză Hardback – 18 dec 2014
Calculus 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.
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.
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Specificații

ISBN-13: 9783319094373
ISBN-10: 3319094378
Pagini: 399
Ilustrații: IX, 399 p. 282 illus., 250 illus. in color.
Dimensiuni: 178 x 254 x 25 mm
Greutate: 1.07 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Springer Undergraduate Texts in Mathematics and Technology

Locul publicării:Cham, Switzerland

Public țintă

Lower undergraduate

Cuprins

​Preface.- 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.

Recenzii

“This book is useful to university students in pureand applied mathematics, engineering, etc. The theoretical part is wellpresented in each chapter. The applications – solved problems and proposedproblems – are gradually presented in order to obtain a good understanding ofthe theoretical notions.” (Cristinel Mortici, zbMATH, Vol. 1325.00003, 2016)

Notă biografică

Jay Treiman is a Professor of Mathematics at Western Michigan University.

Textul de pe ultima copertă

Calculus 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.

Caracteristici

Includes early vectors and early transcendentals to help prepare students for calculus-based physics classes Contains several appendices designed to help fill in necessary background knowledge, including basic trigonometry and algebra review Uses non-standard approaches in order to optimize ease of understanding for students Includes supplementary material: sn.pub/extras