Multivariable Calculus
eBook - ePub

Multivariable Calculus

  1. 546 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Multivariable Calculus

About this book

Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite series. Numerous exercises and examples throughout the book facilitatethe student's understanding of important concepts.The level of rigor in this textbook is high; virtually every result is accompanied by a proof. Toaccommodate teachers' individual needs, the material is organized so that proofs can be deemphasizedor even omitted. Linear algebra for n-dimensional Euclidean space is developedwhen required for the calculus; for example, linear transformations are discussed for the treatmentof derivatives.Featuring a detailed discussion of differential forms and Stokes' theorem, Multivariable Calculusis an excellent textbook for junior-level advanced calculus courses and it is also usefulfor sophomores who have a strong background in single-variable calculus. A two-year calculussequence or a one-year honor calculus course is required for the most successful use of thistextbook. Students will benefit enormously from this book's systematic approach to mathematicalanalysis, which will ultimately prepare them for more advanced topics in the field.

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Yes, you can access Multivariable Calculus by L. Corwin in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half Title Page
  3. Title Page
  4. Copyright
  5. Dedication
  6. Series Page
  7. Preface
  8. Table of Contents
  9. CHAPTER 1 SOME PRELIMINARIES
  10. CHAPTER 2 EUCLIDEAN SPACES AND LINEAR TRANSFORMATIONS
  11. CHAPTER 3 CONTINUOUS FUNCTIONS
  12. CHAPTER 4 THE DERIVATIVE
  13. CHAPTER 5 THE GEOMETRY OF EUCLIDEAN SPACES
  14. CHAPTER 6 HIGHER ORDER DERIVATIVES AND TAYLOR’S THEOREM
  15. CHAPTER 7 COMPACT AND CONNECTED SETS
  16. CHAPTER 8 MAXIMA AND MINIMA
  17. CHAPTER 9 THE INVERSE AND IMPLICIT FUNCTION THEOREMS
  18. CHAPTER 10 INTEGRATION
  19. CHAPTER 11 ITERATED INTEGRALS AND THE FUBINI THEOREM
  20. CHAPTER 12 LINE INTEGRALS
  21. CHAPTER 13 SURFACE INTEGRALS
  22. CHAPTER 14 DIFFERENTIAL FORMS
  23. CHAPTER 15 INTEGRATION OF DIFFERENTIAL FORMS
  24. CHAPTER 16 INFINITE SERIES
  25. CHAPTER 17 INFINITE SERIES OF FUNCTIONS
  26. APPENDIX A Determinants
  27. APPENDIX B The Proof of the General Inverse Function Theorem
  28. SOLUTIONS TO SELECTED EXERCISES
  29. INDEX