Calculus (10th Ed.) One and Several Variables
Auteurs : Salas Saturnino L., Hille Einar, Etgen Garret J.
For ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. Wiley is proud to publish a new revision of Calculus: One and Several Variables 10th Edition, known for its elegant writing style, precision and perfect balance of theory and applications. The Tenth Edition is refined to offer students an even clearer understanding of calculus and insight into mathematics. It includes a wealth of rich problem sets which makes calculus relevant for students. Salas/Hille/Etgen is recognized for its mathematical integrity, accuracy, and clarity that will help readers master these concepts and understand their relevance to the real world.
CHAPTER 1 PRECALCULUS REVIEW 1
CHAPTER 2 LIMITS AND CONTINUITY 53
CHAPTER 3 THE DERIVATIVE; THE PROCESS OF DIFFERENTIATION 105
CHAPTER 4 THE MEAN-VALUE THEOREM; APPLICATIONS OF THE FIRST AND SECOND DERIVATIVES 154
CHAPTER 5 INTEGRATION 234
CHAPTER 6 SOME APPLICATIONS OF THE INTEGRAL 292
CHAPTER 7 THE TRANSCENDENTAL FUNCTIONS 333
CHAPTER 8 TECHNIQUES OF INTEGRATION 398
CHAPTER 9 SOME DIFFERENTIAL EQUATIONS 443
CHAPTER 10 THE CONIC SECTIONS; POLAR COORDINATES; PARAMETRIC EQUATIONS 469
CHAPTER 11 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS 528
CHAPTER 12 INFINITE SERIES 575
CHAPTER 13 VECTORS IN THREE-DIMENSIONAL SPACE 638
CHAPTER 14 VECTOR CALCULUS 692
CHAPTER 15 FUNCTIONS OF SEVERAL VARIABLES 748
CHAPTER 16 GRADIENTS; EXTREME VALUES; DIFFERENTIALS 788
CHAPTER 17 DOUBLE AND TRIPLE INTEGRALS 864
CHAPTER 18 LINE INTEGRALS AND SURFACE INTEGRALS 938
CHAPTER 19 ADDITIONAL DIFFERENTIAL EQUATIONS 1010
APPENDIX A SOME ADDITIONAL TOPICS A-1
APPENDIX B SOME ADDITIONAL PROOFS A-8
ANSWERS TO ODD-NUMBERED EXERCISES A-15
Index I-1
Table of Integrals Inside Covers
Satunino L. Salas is the author of various Wiley calculus textbooks.
Garret Etgen is a professor of mathematics and the University of Houston.
Date de parution : 11-2006
Ouvrage de 1168 p.
22.4x28.2 cm
Thème de Calculus :
Mots-clés :
difficult concepts of calculus; Calculus: One and Several Variables 10th Edition; elegant writing style; balance of theory and applications; understanding of calculus; insight into mathematics; problem sets; mathematical integrity; accuracy; limits and continuity; mean-value theorem; derivative; integration; transcendental functions