07-26-2026, 12:50 AM
Irresistible Integrals
by George Boros
Summary
Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals by George Boros and Victor Moll explores the art and theory of evaluating definite integrals by using them as a gateway to broader areas of mathematics. Rather than presenting only standard techniques, the authors show how difficult integrals reveal deep connections between calculus, analysis, number theory, algebra, combinatorics, and special functions.
The book develops methods involving factorials, binomial coefficients, partial fractions, power series, exponential and trigonometric functions, the constants π and Euler’s constant, the Gamma and Beta functions, the Riemann zeta function, logarithmic integrals, and the Wilf–Zeilberger (WZ) method.
Written at an advanced undergraduate level, it emphasizes discovery, experimentation, and elegant problem-solving rather than mechanical computation. Through carefully chosen examples, the authors demonstrate that evaluating integrals can lead to unexpected mathematical structures and serve as a starting point for research-style investigations.
BOOK
by George Boros
Summary
Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals by George Boros and Victor Moll explores the art and theory of evaluating definite integrals by using them as a gateway to broader areas of mathematics. Rather than presenting only standard techniques, the authors show how difficult integrals reveal deep connections between calculus, analysis, number theory, algebra, combinatorics, and special functions.
The book develops methods involving factorials, binomial coefficients, partial fractions, power series, exponential and trigonometric functions, the constants π and Euler’s constant, the Gamma and Beta functions, the Riemann zeta function, logarithmic integrals, and the Wilf–Zeilberger (WZ) method.
Written at an advanced undergraduate level, it emphasizes discovery, experimentation, and elegant problem-solving rather than mechanical computation. Through carefully chosen examples, the authors demonstrate that evaluating integrals can lead to unexpected mathematical structures and serve as a starting point for research-style investigations.
BOOK
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