The How and Why of One Variable Calculus

The How and Why of One Variable Calculus

Amol Sasane, Mathematics Department, London School of Economics

First course calculus texts have traditionally been either engineering/ science-oriented with too little rigour, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis.Logically organized and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. Primarily concerned with developing an understanding of the tools of calculus, it features numerous examples and exercises that illustrate how the techniques of calculus have universal application.

• Provides a user-friendly text with more attention to rigour than is usually found in traditional calculus texts.
• Can be used both as a first course and as a text for a bridge course between calculus and upper level mathematics.
• Presents numerous illustrations, examples, exercises and detailed solutions to aid the reader’s understanding.

The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and business analytics. It can also be used as a text for a bridge course between single and multi-variable calculus, as well as between single variable calculus and upper level theory courses for math majors.

The How and Why of One Variable Calculus

Amol Sasane, Mathematics Department, London School of Economics

First course calculus texts have traditionally been either engineering/ science-oriented with too little rigour, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis.Logically organized and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. Primarily concerned with developing an understanding of the tools of calculus, it features numerous examples and exercises that illustrate how the techniques of calculus have universal application.

• Provides a user-friendly text with more attention to rigour than is usually found in traditional calculus texts.
• Can be used both as a first course and as a text for a bridge course between calculus and upper level mathematics.
• Presents numerous illustrations, examples, exercises and detailed solutions to aid the reader’s understanding.

The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and business analytics. It can also be used as a text for a bridge course between single and multi-variable calculus, as well as between single variable calculus and upper level theory courses for math majors.