More (Almost) Impossible Integrals, Sums, and Series
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This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks. As in the author’s previous book, these fascinating mathematical problems are shown in new and engaging ways, and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions a
Our Review
This advanced mathematics text delivers exactly what its title promises: a deeper dive into the world of challenging integrals, infinite series, and complex sums that push beyond standard calculus. Building directly upon the foundation of its predecessor, the book explores intricate connections between these mathematical domains, frequently employing special functions like zeta functions, polylogarithms, and harmonic series in its problems. The presentation is designed not just to showcase solutions, but to illuminate the underlying relationships and techniques in fresh, engaging ways that standard textbooks often overlook.
Readers already familiar with the first volume will find this sequel a natural and rewarding next step, offering a new tier of sophisticated problems for those who have mastered the initial challenges. This collection is specifically tailored for serious students of mathematical analysis, researchers, and anyone with a deep fascination for the elegant interplay between different areas of higher calculus. The problems within will captivate those who appreciate seeing classical methods applied in novel contexts to achieve seemingly impossible results.
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