Math Alive by Ingrid Daubechies, Shannon Hughes
Math Alive - Table of Contents
PART I: DIGITAL COMMUNICATION & PROBABILITY
- 1. Public-Key Cryptography and Encryption
- 2. Error Correction and Data Compression
- 3. Principles of Probability & Statistics
PART II: DYNAMICS, NETWORKS & SOCIAL CHOICE
- 4. Birth, Growth, Death & Chaos Systems
- 5. Fundamentals of Graph Theory
- 6. Voting & Social Choice Theory
What You Will Learn in Math Alive
Math Alive by Ingrid Daubechies and Shannon Hughes is an accessible, interdisciplinary textbook designed to demonstrate the vital relevance of contemporary mathematics across modern technology, communication, and society. Developed from popular general-education courses at Princeton University, this comprehensive volume guides readers through public-key cryptography, error-correcting codes, image and audio compression, probability and statistics, population dynamics, deterministic chaos, graph theory, and social choice mechanisms with exceptional clarity and pedagogical structure.
Designed for undergraduate students, secondary educators, interdisciplinary researchers, and self-taught mathematics enthusiasts, this foundational text demystifies advanced concepts without heavy technical prerequisites. The authors show how number theory secures online transactions, how wavelets compress digital images, how graph algorithms optimize transport networks, and how mathematical social choice theory exposes voting paradoxes. Whether you are investigating network theory, biological growth models, or modern data encryption, this book offers an indispensable roadmap.
Recognized globally for its visionary approach to mathematical outreach and open pedagogy, it stands as one of the best introductory applied math books for self-study. By connecting fundamental theory directly to contemporary human innovation, it serves as an essential tool for mastering real-world mathematics with confidence.
Book Details & Specifications
Title:
Math Alive by Ingrid Daubechies, Shannon Hughes
Publisher:
Princeton University
Year:
2008
Pages:
250
Type:
PDF
Language:
English
ISBN-10 #:
1319055702
ISBN-13 #:
978-1319055707
License:
University Educational Resource
Amazon:
Amazon
About the Author: Ingrid Daubechies
The author Ingrid Daubechies
is a James B. Duke Distinguished Professor Emerita of Mathematics and Electrical and Computer Engineering at Duke University, and formerly a professor at Princeton University. She is a historic figure in modern applied mathematics, internationally celebrated for her pioneering work on wavelets—most notably the Daubechies wavelets—which revolutionized digital signal processing and image compression (including JPEG 2000). She was the first female president of the International Mathematical Union (IMU) and is a recipient of the prestigious Wolf Prize in Mathematics and the Nemmers Prize.
Co-authored alongside Shannon Hughes, an expert in electrical engineering and computer science with extensive focus on interdisciplinary mathematical pedagogy, Math Alive reflects their shared commitment to making deep mathematical concepts universally accessible. Their clear visual intuition, engaging real-world examples, and focus on practical technology make this volume a classic reference for introductory applied mathematics trusted by students and self-directed learners worldwide.
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