本书对各种类型的积分进行了系统阐述，不仅证明了每种积分的基本性质，指出其异同点，还阐释了它们的产生背景与应用场景，并融入了丰富的历史资料。本书适合对各种类型的积分感兴趣的高年级本科生、研究生、高校教师以及数学研究人员阅读参考。The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Stieltjes, Henstock-Kurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reason for their existence and their uses are given. There is plentiful historical information. The audience for the book is advanced undergraduate mathematics majors, graduate students, and faculty members. Even experienced faculty members are unlikely to be aware of all of the integrals in the Garden ofIntegrals and the book provides an opportunity to see them and appreciate their richness. Professor Burk's clear and well-motivatedexposition makes this book a joy to read. The book can serve as a reference, as a supplement to courses that include the theory of integration, and as a source of exercises in analysis. There is no other book like it.