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.
Satunino L. Salas is the author of various Wiley calculus textbooks. Garret Etgen is a professor of mathematics and the University of Houston.
CHAPTER 1 PRECALCULUS REVIEW 1CHAPTER 2 LIMITS AND CONTINUITY 53CHAPTER 3 THE DERIVATIVE; THE PROCESS OF DIFFERENTIATION 105CHAPTER 4 THE MEAN-VALUE THEOREM; APPLICATIONS OF THE FIRST AND SECOND DERIVATIVES 154CHAPTER 5 INTEGRATION 234CHAPTER 6 SOME APPLICATIONS OF THE INTEGRAL 292CHAPTER 7 THE TRANSCENDENTAL FUNCTIONS 333CHAPTER 8 TECHNIQUES OF INTEGRATION 398CHAPTER 9 SOME DIFFERENTIAL EQUATIONS 443CHAPTER 10 THE CONIC SECTIONS; POLAR COORDINATES; PARAMETRIC EQUATIONS 469CHAPTER 11 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS 528CHAPTER 12 INFINITE SERIES 575CHAPTER 13 VECTORS IN THREE-DIMENSIONAL SPACE 638CHAPTER 14 VECTOR CALCULUS 692CHAPTER 15 FUNCTIONS OF SEVERAL VARIABLES 748CHAPTER 16 GRADIENTS; EXTREME VALUES; DIFFERENTIALS 788CHAPTER 17 DOUBLE AND TRIPLE INTEGRALS 864CHAPTER 18 LINE INTEGRALS AND SURFACE INTEGRALS 938CHAPTER 19 ADDITIONAL DIFFERENTIAL EQUATIONS 1010APPENDIX A SOME ADDITIONAL TOPICS A-1APPENDIX B SOME ADDITIONAL PROOFS A-8ANSWERS TO ODD-NUMBERED EXERCISES A-15Index I-1Table of Integrals Inside Covers
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.
Satunino L. Salas is the author of various Wiley calculus textbooks. Garret Etgen is a professor of mathematics and the University of Houston.
CHAPTER 1 PRECALCULUS REVIEW 1CHAPTER 2 LIMITS AND CONTINUITY 53CHAPTER 3 THE DERIVATIVE; THE PROCESS OF DIFFERENTIATION 105CHAPTER 4 THE MEAN-VALUE THEOREM; APPLICATIONS OF THE FIRST AND SECOND DERIVATIVES 154CHAPTER 5 INTEGRATION 234CHAPTER 6 SOME APPLICATIONS OF THE INTEGRAL 292CHAPTER 7 THE TRANSCENDENTAL FUNCTIONS 333CHAPTER 8 TECHNIQUES OF INTEGRATION 398CHAPTER 9 SOME DIFFERENTIAL EQUATIONS 443CHAPTER 10 THE CONIC SECTIONS; POLAR COORDINATES; PARAMETRIC EQUATIONS 469CHAPTER 11 SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS 528CHAPTER 12 INFINITE SERIES 575CHAPTER 13 VECTORS IN THREE-DIMENSIONAL SPACE 638CHAPTER 14 VECTOR CALCULUS 692CHAPTER 15 FUNCTIONS OF SEVERAL VARIABLES 748CHAPTER 16 GRADIENTS; EXTREME VALUES; DIFFERENTIALS 788CHAPTER 17 DOUBLE AND TRIPLE INTEGRALS 864CHAPTER 18 LINE INTEGRALS AND SURFACE INTEGRALS 938CHAPTER 19 ADDITIONAL DIFFERENTIAL EQUATIONS 1010APPENDIX A SOME ADDITIONAL TOPICS A-1APPENDIX B SOME ADDITIONAL PROOFS A-8ANSWERS TO ODD-NUMBERED EXERCISES A-15Index I-1Table of Integrals Inside Covers