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1. 

Positive Definite Matrices

Positive Definite Matrices

By: Rajendra Bhatia

Publisher: Princeton University Press

Publication Date: 10-JAN-2009

Insert Date: 23-MAY-2013

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide...

2. 

Trigonometric Delights (New in Paperback)

Trigonometric Delights (New in Paperback)

By: Eli Maor

Publisher: Princeton University Press

Publication Date: 13-MAR-2013

Insert Date: 23-FEB-2013

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Trigonometry has always been an underappreciated branch of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to...

3. 

Chasing Stars

Chasing Stars

By: Boris Groysberg

Publisher: Princeton University Press

Publication Date: 19-APR-2010

Insert Date: 22-FEB-2013

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It is taken for granted in the knowledge economy that companies must employ the most talented performers to compete and succeed. Many firms try to buy stars by luring them away from competitors. But Boris Groysberg shows what an uncertain and disastrous practice this can be. After examining the careers of more than a thousand star analysts at Wall Street investment banks, and conducting more than two hundred frank interviews, Groysberg comes to a striking conclusion: star analysts who change firms suffer an immediate and lasting decline in performance. Their earlier excellence appears...

4. 

Heavenly Mathematics

Heavenly Mathematics

By: Glen Van Brummelen

Publisher: Princeton University Press

Publication Date: 23-DEC-2012

Insert Date: 12-DEC-2012

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Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy,...

5. 

The Logician and the Engineer

The Logician and the Engineer

By: Paul J. Nahin

Publisher: Princeton University Press

Publication Date: 28-OCT-2012

Insert Date: 29-NOV-2012

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Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use--from our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer , best-selling popular math writer Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different eras--mathematician and philosopher George Boole (1815-1864) and...

6. 

Pricing the Planet's Future

Pricing the Planet's Future

By: Christian Christian Gollier

Publisher: Princeton University Press

Publication Date: 11-NOV-2012

Insert Date: 29-NOV-2012

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Our path of economic development has generated a growing list of environmental problems including the disposal of nuclear waste, exhaustion of natural resources, loss of biodiversity, climate change, and polluted land, air, and water. All these environmental problems raise the crucial challenge of determining what we should and should not do for future generations. It is also central to other policy debates, including, for example, the appropriate level of public debt, investment in public infrastructure, investment in education, and the level of funding for pension benefits and for...

7. 

Spin Glasses and Complexity

Spin Glasses and Complexity

By: Daniel L. Stein; Charles M. Newman

Publisher: Princeton University Press

Publication Date: 15-JAN-2013

Insert Date: 29-NOV-2012

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Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and...

8. 

Coding Freedom

Coding Freedom

By: E. Gabriella Coleman

Publisher: Princeton University Press

Publication Date: 25-NOV-2012

Insert Date: 29-NOV-2012

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Who are computer hackers? What is free software? And what does the emergence of a community dedicated to the production of free and open source software--and to hacking as a technical, aesthetic, and moral project--reveal about the values of contemporary liberalism? Exploring the rise and political significance of the free and open source software (F/OSS) movement in the United States and Europe, Coding Freedom details the ethics behind hackers' devotion to F/OSS, the social codes that guide its production, and the political struggles through which hackers question the scope and...

9. 

The Best Writing on Mathematics 2012

The Best Writing on Mathematics 2012

By: Mircea Pitici; David Mumford

Publisher: Princeton University Press

Publication Date: 11-NOV-2012

Insert Date: 29-NOV-2012

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This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2012 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest...

10. 

The Gross-Zagier Formula on Shimura Curves

The Gross-Zagier Formula on Shimura Curves

By: Xinyi Yuan; Shou-wu Zhang; Wei Zhang

Publisher: Princeton University Press

Publication Date: 11-NOV-2012

Insert Date: 29-NOV-2012

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This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This is followed by a complete proof...

11. 

Mathematical Tools for Understanding Infectious Disease Dynamics:

Mathematical Tools for Understanding Infectious Disease Dynamics:

By: Odo Diekmann; Hans Heesterbeek; Tom Britton

Publisher: Princeton University Press

Publication Date: 18-NOV-2012

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Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation...

12. 

Mathletics

Mathletics

By: Wayne L. Winston

Publisher: Princeton University Press

Publication Date: 18-MAR-2012

Insert Date: 29-NOV-2012

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Mathletics is a remarkably entertaining book that shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, and football, and in sports gambling. How does professional baseball evaluate hitters? Is a singles hitter like Wade Boggs more valuable than a power hitter like David Ortiz? Should NFL teams pass or run more often on first downs? Could professional basketball have used statistics to expose the crooked referee Tim Donaghy? Does money buy performance in professional sports? In Mathletics...

13. 

The Mathematical Mechanic

The Mathematical Mechanic

By: Mark Levi

Publisher: Princeton University Press

Publication Date: 06-JUL-2009

Insert Date: 29-NOV-2012

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Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and...

14. 

Stability and Control of Large-Scale Dynamical Systems

Stability and Control of Large-Scale Dynamical Systems

By: Wassim M. Haddad; Sergey G. Nersesov

Publisher: Princeton University Press

Publication Date: 14-NOV-2011

Insert Date: 29-NOV-2012

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Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale...

15. 

Mathematicians Fleeing from Nazi Germany

Mathematicians Fleeing from Nazi Germany

By: Reinhard Siegmund-Schultze

Publisher: Princeton University Press

Publication Date: 06-JUL-2009

Insert Date: 25-SEP-2012

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The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world. Mathematicians Fleeing from Nazi Germany is the first thoroughly documented account of this exodus. In this greatly expanded translation of the 1998 German edition, Reinhard Siegmund-Schultze describes the flight of more than 140 mathematicians, their reasons for leaving, the political and economic issues involved, the reception of these emigrants by various countries, and the emigrants' continuing contributions to mathematics....

16. 

The Search for Mathematical Roots, 1870-1940

The Search for Mathematical Roots, 1870-1940

By: I. Grattan-Guinness

Publisher: Princeton University Press

Publication Date: 06-NOV-2000

Insert Date: 25-SEP-2012

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While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial...

17. 

Convolution and Equidistribution

Convolution and Equidistribution

By: Nicholas M. Katz

Publisher: Princeton University Press

Publication Date: 24-JAN-2012

Insert Date: 25-SEP-2012

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Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are...

18. 

Nine Algorithms That Changed the Future

Nine Algorithms That Changed the Future

By: John MacCormick; Chris Bishop

Publisher: Princeton University Press

Publication Date: 27-DEC-2011

Insert Date: 25-SEP-2012

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Every day, we use our computers to perform remarkable feats. A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform...

19. 

The Irrationals

The Irrationals

By: Julian Havil

Publisher: Princeton University Press

Publication Date: 24-JUN-2012

Insert Date: 25-SEP-2012

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The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition...

20. 

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

By: Robert B. Banks

Publisher: Princeton University Press

Publication Date: 01-JUL-2002

Insert Date: 25-SEP-2012

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Have you ever daydreamed about digging a hole to the other side of the world? Robert Banks not only entertains such ideas but, better yet, he supplies the mathematical know-how to turn fantasies into problem-solving adventures. In this sequel to the popular Towing Icebergs, Falling Dominoes (Princeton, 1998), Banks presents another collection of puzzles for readers interested in sharpening their thinking and mathematical skills. The problems range from the wondrous to the eminently practical. In one chapter, the author helps us determine the total number of people who have lived on...