Softcover ISBN:  9780821843499 
Product Code:  MBK/72 
List Price:  $56.00 
MAA Member Price:  $50.40 
AMS Member Price:  $44.80 
Electronic ISBN:  9781470416058 
Product Code:  MBK/72.E 
List Price:  $52.00 
MAA Member Price:  $46.80 
AMS Member Price:  $41.60 

Book Details2010; 330 ppMSC: Primary 00;
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the “math inside” understandable and enjoyable. An additional attractive feature is the leisurely treatment of some hot topics that have gained prominence in recent years, such as Fermat's Theorem, Kepler's packing problem, and the solution of the Poincaré Conjecture. Or maybe you have heard about the Nash equilibrium (of “A Beautiful Mind” fame), or the strange future of quantum computers, and want to know what it is all about? Well, open the book and take an uptodate trip into the fascinating world of the mathematics all around us.
ReadershipUndergraduates, graduate students, and research mathematicians interested in mathematical trends and topics in the world around us.

Table of Contents

Part 1. Prologue

Chapter 1. Math becomes a cult—description of a hope

Part 2. Case studies

Chapter 2. The mathematics of the compact disc

Chapter 3. Image processing and imaging for operation planning in liver surgery

Chapter 4. The quickest path to the goal

Chapter 5. Romeo and Juliet, spontaneous pattern formation, and Turing’s instability

Chapter 6. Mathematics and intelligent materials

Chapter 7. Discrete tomography: from battleship to nanotechnology

Chapter 8. Reflections on reflections

Part 3. Current topics

Chapter 9. The role of mathematics in the financial markets

Chapter 10. Electronic money: an impossibility or already a reality?

Chapter 11. Spheres in the computer—the Kepler conjecture

Chapter 12. How do quanta compute? The new world of the quantum computer

Chapter 13. Fermat’s Last Theorem—the solution of a 300 year old problem

Chapter 14. A short history of the Nash equilibrium

Chapter 15. Mathematics in the climate of global change

Part 4. The central theme

Chapter 16. Prime numbers, secret codes and the boundaries of computability

Chapter 17. The mathematics of knots

Chapter 8. On soap bubbles

Chapter 19. Heat diffusion, the structure of space and the Poincaré Conjecture

Chapter 20. Chance and mathematics: a late love

Part 5. Epilogue

Chapter 21. The prospects for mathematics in a multimedia civilization


Additional Material

Reviews

The modern world runs on mathematics. It provides a way to make things work better and more efficiently, which is one of the ways that economies can emerge from a recession. This necessary fervor is fueled by knowledge of the latest applications of mathematics, some of which is provided in great detail by this book.
MAA Reviews 
This collection of articles illustrates the endless impact of mathematics in the world around us while showcasing the elegance and functionality of mathematics. . . . This book is a mustread for mathematics majors. It allows them to see the wide range of places their degree can take them, many of which they would not have been exposed to in their undergraduate preparation.
Diane Barrett, Mathematics Teacher


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Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the “math inside” understandable and enjoyable. An additional attractive feature is the leisurely treatment of some hot topics that have gained prominence in recent years, such as Fermat's Theorem, Kepler's packing problem, and the solution of the Poincaré Conjecture. Or maybe you have heard about the Nash equilibrium (of “A Beautiful Mind” fame), or the strange future of quantum computers, and want to know what it is all about? Well, open the book and take an uptodate trip into the fascinating world of the mathematics all around us.
Undergraduates, graduate students, and research mathematicians interested in mathematical trends and topics in the world around us.

Part 1. Prologue

Chapter 1. Math becomes a cult—description of a hope

Part 2. Case studies

Chapter 2. The mathematics of the compact disc

Chapter 3. Image processing and imaging for operation planning in liver surgery

Chapter 4. The quickest path to the goal

Chapter 5. Romeo and Juliet, spontaneous pattern formation, and Turing’s instability

Chapter 6. Mathematics and intelligent materials

Chapter 7. Discrete tomography: from battleship to nanotechnology

Chapter 8. Reflections on reflections

Part 3. Current topics

Chapter 9. The role of mathematics in the financial markets

Chapter 10. Electronic money: an impossibility or already a reality?

Chapter 11. Spheres in the computer—the Kepler conjecture

Chapter 12. How do quanta compute? The new world of the quantum computer

Chapter 13. Fermat’s Last Theorem—the solution of a 300 year old problem

Chapter 14. A short history of the Nash equilibrium

Chapter 15. Mathematics in the climate of global change

Part 4. The central theme

Chapter 16. Prime numbers, secret codes and the boundaries of computability

Chapter 17. The mathematics of knots

Chapter 8. On soap bubbles

Chapter 19. Heat diffusion, the structure of space and the Poincaré Conjecture

Chapter 20. Chance and mathematics: a late love

Part 5. Epilogue

Chapter 21. The prospects for mathematics in a multimedia civilization

The modern world runs on mathematics. It provides a way to make things work better and more efficiently, which is one of the ways that economies can emerge from a recession. This necessary fervor is fueled by knowledge of the latest applications of mathematics, some of which is provided in great detail by this book.
MAA Reviews 
This collection of articles illustrates the endless impact of mathematics in the world around us while showcasing the elegance and functionality of mathematics. . . . This book is a mustread for mathematics majors. It allows them to see the wide range of places their degree can take them, many of which they would not have been exposed to in their undergraduate preparation.
Diane Barrett, Mathematics Teacher