Best Linear Programming

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The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques. “I am finding this book useful both for students and other readers interested in this field, welcomed in the operation research literature.” ( Zentralbaltt MATH , June 2005) Addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequality constraints.

He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. Fortnow unfolds a fascinating dual-track story of how this problem first emerged, Western researchers encountering it while trying to maximize computer efficiency, Russian analysts confronting it while puzzling over the persistent need for perebor (“brute force search”). Readers watch as the P-NP problem attracts investigators in cryptography, biology, quantum physics, and social networking—and frustrates them all. Even readers averse to mathematics will share in the intellectual stimulation of pondering a riddle compelling us to ask what we should hope for—and fear—in replacing human brains with computer algorithms. P versus NP is ‘one of the great open problems in all of mathematics' not only because it is extremely difficult to solve but because it has such obvious practical applications. It is the dream of total ease, of the confidence that there is an efficient way to calculate nearly everything, ‘from cures to deadly diseases to the nature of the universe,' even ‘an algorithmic process to recognize greatness.'. To postulate that P ≠ NP, as Fortnow does, is to allow for a world of mystery, difficulty, and frustration--but also of discovery and inquiry, of pleasures pleasingly delayed." "Fortnow's book is just the ticket for bringing one of the major theoretical problems of our time to the level of the average citizen--and yes, that includes elected officials." Verdict: Through story and analogy, this relatively slim volume manages to provide a thorough, accessible explanation of a deep mathematical question and its myriad consequences. "The definition of this problem is tricky and technical, but in The Golden Ticket , Lance Fortnow cleverly sidesteps the issue with a boiled-down version. It is an oversimplification, but Fortnow, a computer scientist at Georgia Institute of Technology, Atlanta, knows his stuff and aptly illustrates why NP problems are so important."

In this powerful and dramatic biography Sylvia Nasar vividly recreates the life of a mathematical genius whose career was cut short by schizophrenia and who, after three decades of devastating mental illness, miraculously recovered and was honored with a Nobel Prize. Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. Born in West Virginia, the flamboyant mathematical wizard rubbed elbows at Princeton and MIT with Einstein, John von Neumann and Norbert Wiener. He compartmentalized his secret personal life, shows Nasar, hiding his homosexual affairs with colleagues from his mistress, a nurse who bore him a son out of wedlock, while he also courted Alicia Larde, an MIT physics student whom he married in 1957. Nasar, an economics correspondent for the New York Times, is equally adept at probing the puzzle of schizophrenia and giving a nontechnical context for Nash's mathematical and scientific ideas.

The new edition offers a contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal. Marsden, California Institute of Technology, Pasadena.

Freakonomics is a groundbreaking collaboration between Levitt and Stephen J. Dubner, an award-winning author and journalist. Thus the new field of study contained in this book: freakonomics.Through forceful storytelling and wry insight, Levitt and Dubner show that economics is, at root, the study of incentives—how people get what they want, or need, especially when other people want or need the same thing. What unites all these stories is a belief that the modern world, despite a great deal of complexity and downright deceit, is not impenetrable, is not unknowable, and—if the right questions are asked—is even more intriguing than we think. Freakonomics establishes this unconventional premise: If morality represents how we would like the world to work, then economics represents how it actually does work. It will literally redefine the way we view the modern world.Bonus material added to the revised and expanded 2006 edition.The original New York Times Magazine article about Steven D. Levitt by Stephen J. Dubner, which led to the creation of this book.Seven “Freakonomics” columns written for the New York Times Magazine, published between August 2005 and April 2006. “Levitt dissects complex real-world phenomena, e.g. baby-naming patterns and Sumo wrestling, with an economist’s laser.” (San Diego Union-Tribune). This is bracing fun of the highest order.” (Kurt Andersen, host of public radio's Studio 360 and author of Turn of the Century). “Freakonomics challenges conventional wisdom and makes for fun reading.” (Book Sense Picks and Notables). Steven D. Levitt, a professor of economics at the University of Chicago, was awarded the John Bates Clark Medal, given to the most influential American economist under forty. Stephen J. Dubner, an award-winning journalist and radio and TV personality, has worked for the New York Times and published three non- Freakonomics books.

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises.

The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. I am tempted to make this. the sole, required text for that course". March 2003 Integrates new applications from a variety of fields, especially biology, physics, and engineering, and is a perfect introduction for Mathematica beginners.

Freakonomics is a groundbreaking collaboration between Levitt and Stephen J. Dubner, an award-winning author and journalist. Thus the new field of study contained in this book: freakonomics.Through forceful storytelling and wry insight, Levitt and Dubner show that economics is, at root, the study of incentives—how people get what they want, or need, especially when other people want or need the same thing. What unites all these stories is a belief that the modern world, despite a great deal of complexity and downright deceit, is not impenetrable, is not unknowable, and—if the right questions are asked—is even more intriguing than we think. Freakonomics establishes this unconventional premise: If morality represents how we would like the world to work, then economics represents how it actually does work. It will literally redefine the way we view the modern world.Bonus material added to the revised and expanded 2006 edition.The original New York Times Magazine article about Steven D. Levitt by Stephen J. Dubner, which led to the creation of this book.Seven “Freakonomics” columns written for the New York Times Magazine, published between August 2005 and April 2006. “Levitt dissects complex real-world phenomena, e.g. baby-naming patterns and Sumo wrestling, with an economist’s laser.” (San Diego Union-Tribune). This is bracing fun of the highest order.” (Kurt Andersen, host of public radio's Studio 360 and author of Turn of the Century). “Freakonomics challenges conventional wisdom and makes for fun reading.” (Book Sense Picks and Notables). Steven D. Levitt, a professor of economics at the University of Chicago, was awarded the John Bates Clark Medal, given to the most influential American economist under forty. Stephen J. Dubner, an award-winning journalist and radio and TV personality, has worked for the New York Times and published three non- Freakonomics books.