First Indian edition 2006, reprinted 2017.

Includes index.

Part I. Introduction: -- 1. Introduction -- 2. One-variable calculus : foundations -- 3. One-variable calculus : applications -- 4. One-variable calculus : chain rule -- 5. Exponents and logarithms -- Part II. Linear algebra: -- 6. Introduction to linear algebra -- 7. Systems of linear equations -- 8. Matrix algebra -- 9. Determinants : an overview -- 10. Euclidean spaces -- 11. Linear independence -- Part III. Calculus of several variables: -- 12. Limits and open sets -- 13. Functions of several variables -- 14. Calculus of several variables -- 15. Implicit functions and their derivatives -- Part IV. Optimization: -- 16. Quadratic forms and definite matrices -- 17. Unconstrained optimization -- 18. Constrained optimization I : first order conditions -- 19. Constrained optimization II -- 20. Homogeneous and homothetic functions -- 21. Concave and quasiconcave functions -- 22. Economic applications -- Part V. Eigenvalues and dynamics: -- 23. Eigenvalues and Eigenvectors -- 24. Ordinary differential equations : scalar equations -- 25. Ordinary differential equations : systems of equations -- Part VI. Advanced linear algebra: -- 26. Determinants : the details -- 27. Subspaces attached to a matrix -- 28. Applications of linear independence -- Part VII. Advanced analysis: -- 29. Limits and compact sets -- 30. Calculus of several variables II -- Part VIII. Appendices: -- 1. Sets, numbers, and proofs -- 2. Trigonometric functions -- 3. Complex numbers -- 4. Integral calculus -- 5. Introduction to probability -- 6. Selected answers.