The text is centered upon the idea that good teaching must bring knowledge to life. True to this premise, the author has taken great care to present all mathematical subjects within the context of stimulating applications that cover a wide range of topics in science and engineering. Also included are engaging discussions of the historical and philosophical background that gave the discipline of calculus its present shape. Indeed, it is the central focus on applications combined with a commitment to very high standards of expository writing that sets this book apart from the competition.
Part I: Differentiation
Part II: Integration
Part III: Special Functions
Part IV: Methods of Integration
Part V: Taylor Approximation
Part VI: Differential Equations
Part VII: Linear Algebra
Part VIII: Systems of Differential Equations
Part IX: Vector Calculus