Calculus

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.