This Book Is Devoted To The Multiplicative Differential Calculus. It Summarizes The Most Recent Contributions In This Area. The Book Is Intended For Senior Undergraduate Students And Beginning Graduate Students Of Engineering And Science Courses. Two Operations, Differentiation And Integration, Are Basic In Calculus And Analysis. In Fact, They Are The Infinitesimal Versions Of The Subtraction And Addition Operations On Numbers, Respectively. In The Period From 1967 Till 1970 Michael Grossman And Robert Katz Gave Definitions Of A New Kind Of Derivative And Integral, Moving The Roles Of Subtraction And Addition To Division And Multiplication, And Thus Established A New Calculus, Called Multiplicative Calculus. It Is Also Called An Alternative Or Non-newtonian Calculus. Multiplicative Calculus Can Especially Be Useful As A Mathematical Tool For Economics, Finance, Biology, And Engineering. This Book Is Devoted To The Multiplicative Differential Calculus. It Summarizes The Most Recent Contributions In This Area. The Book Is Intended For Senior Undergraduate Students And Beginning Graduate Students Of Engineering And Science Courses. The Book Contains Seven Chapters. The Chapters In The Book Are Pedagogically Organized. Each Chapter Concludes With A Section With Practical Problems. This Book Is Addressed To A Wide Audience Of Specialists Such As Mathematicians, Physicists, Engineers, And Biologists. It Is Primarily Meant As A Textbook At The Graduate Level And May Be Used For A Course On Differential Calculus. Each Chapter Concludes With A Section With Practical Problems To Be Assigned Or For Self-study--