Elliptic Partial Differential Equations From An Elementary Viewpoint: What The Laplacian Is Good For

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Serena Dipierro (University Of Western Australia, Australia) Enrico Valdinoci (University Of Western Australia, Australia)

Elliptic Partial Differential Equations From An Elementary Viewpoint

What The Laplacian Is Good For

Serena Dipierro (University Of Western Australia, Australia), Enrico Valdinoci (University Of Western Australia, Australia)

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English

World Scientific Publishing Co Pte Ltd
01 January 2026

Differential calculus & equations; Differential & Riemannian geometry

Summary
Details

This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blending mathematical rigor with an accessible and engaging style, it introduces the Laplace operator and elliptic PDEs through diverse real-world phenomena, from physics and biology to artificial intelligence and image processing.

Readers will explore fundamental topics such as diffusion, wave propagation, and fluid dynamics, alongside unexpected applications — including pattern formation in nature, traffic jams, quantum mechanics, and even the mathematics behind fighting pandemics and cancer. With a focus on both intuition and formalism, the book provides a wealth of examples, historical insights, and thought-provoking problems that make the subject come alive.

Awarded the prestigious Book Prize of the Unione Matematica Italiana, this work has been praised as 'a remarkable journey through delightful applications of elliptic PDEs, all while maintaining the highest standards of mathematical rigor.' Whether you are a student, researcher, or simply curious about how mathematics shapes the world around us, this book will challenge and inspire you.

By: Serena Dipierro (University Of Western Australia Australia), Enrico Valdinoci (University Of Western Australia, Australia)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
ISBN: 9789819813940
ISBN 10: 9819813948
Pages: 500
Publication Date: 01 January 2026
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active