Multivariate Calculus

This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.

Topics covered are:

• Limits, continuities and differentiabilities of functions of several variables.
• Properties of Implicit functions and Jacobians.
• Extreme values of multivariate functions.
• Various types of integrals in planes and surfaces and their related theorems including Dirichlet and Liouville's extension to Dirichlet.

Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan)

這本書是一本關於多變數函數的基礎主題的綜合性著作，主要針對本科和研究生學生。涵蓋的主題包括：

- 多變數函數的極限、連續性和可微性。
- 隱函數和雅可比矩陣的性質。
- 多變數函數的極值。
- 平面和曲面上的各種積分及其相關定理，包括迪利克雷和李維爾的迪利克雷擴展。

印刷版在南亞地區（印度、斯里蘭卡、尼泊爾、孟加拉國、巴基斯坦或不丹）不出售。

Samiran Karmakar is Assistant Professor in Mathematics, Bankura Sammilani College, Bankura, West Bengal and is actively engaged in research in the field of Optimization Theory and Operational Research. Formerly, he was Assistant Professor in Mathematics, St. Xavier's College, Kolkata.

Sibdas Karmakar was former Associate Professor in Mathematics, Ramananda College, Bankura, West Bengal and has been associated with the teaching of honors in Mathematics for decades. He has also taught in Achhruram Memorial College, Purulia.

Samiran Karmakar是西孟加拉邦Bankura Sammilani College的數學助理教授，並積極從事優化理論和運籌學的研究。他曾在加爾各答聖澤維爾學院擔任數學助理教授。

Sibdas Karmakar曾是西孟加拉邦Bankura的Ramananda College的副教授，多年來一直從事數學榮譽課程的教學。他還曾在普魯利亞的Achhruram Memorial College教授過課程。