An Introduction to Analysis offers a large variety of examples and exercises that will engage your students in active learning and help them develop an ability to perform analysis. The use of real data to illustrate concepts from the book. Development of spectral density concepts. Development of techniques for constructing random sequences of numbers with specified probability density function. Streamlined presentation of rudimentary topics allows you to develop the foundations of calculus in a short period of time.
Numerous examples demonstrate abstract statements in simpler numerical settings.
More than 1,200 varied exercises test comprehension of the developed concepts and promote creative problem-solving skills. Advanced topics, such as Cauchy sequences and uniform convergence, may be previewed if time permits and if you feel your students are prepared. This text complements our more sophisticated analysis texts by Rudin and Lewin. Use of modern concepts. The McGraw-Hill Companies .