This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.

This two-part treatment of Hill's equation encompasses the subject's most pertinent information, explaining both basic theory and numerous details, including elementary formulas, oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention is given to stability problems and the question of coexistence of periodic solutions. 1966 edition.

Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,...) and for problems with parametric dependence. The authors discuss the properties of the related Green's functions coupled with different boundary value conditions. In addition, they establish the equations' relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included. - Evaluates classical topics in the Hill's equation that are crucial for understanding modern physical models and non-linear applications - Describes explicit and effective conditions on maximum and anti-maximum principles - Collates information from disparate sources in one self-contained volume, with extensive referencing throughout

This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.

FBI agent Max Carter lives his life by a strict set of rules—rules that don't allow for distraction, deviation...or a relationship. But tell that to his matchmaking mama. To avoid yet another set-up, he announces he has a girlfriend. And now has to produce said girlfriend at Christmas dinner. Maybe Santa has a suitable actress in that red bag of his... Gina Castillo is about to break her building’s iron-clad “no pets” policy to give her little brother the perfect Christmas gift—a dog. Too bad Max, the most inconveniently sexy tenant in the building, catches her red-handed. Gina expects to be evicted, but instead finds herself blackmailed into playing the role of his girlfriend. Two lies plus one dog should equal a hot mess of a holiday, but attraction and Christmas magic might just defy the rules...

In 1956, two Bell Labs scientists discovered the scientific formula for getting rich. One was mathematician Claude Shannon, neurotic father of our digital age, whose genius is ranked with Einstein's. The other was John L. Kelly Jr., a Texas-born, gun-toting physicist. Together they applied the science of information theory—the basis of computers and the Internet—to the problem of making as much money as possible, as fast as possible. Shannon and MIT mathematician Edward O. Thorp took the "Kelly formula" to Las Vegas. It worked. They realized that there was even more money to be made in the stock market. Thorp used the Kelly system with his phenomenally successful hedge fund, Princeton-Newport Partners. Shannon became a successful investor, too, topping even Warren Buffett's rate of return. Fortune's Formula traces how the Kelly formula sparked controversy even as it made fortunes at racetracks, casinos, and trading desks. It reveals the dark side of this alluring scheme, which is founded on exploiting an insider's edge. Shannon believed it was possible for a smart investor to beat the market—and William Poundstone's Fortune's Formula will convince you that he was right.

Your formula to build a strong sense of self-worth so that you can better recognize opportunity, take action on your dreams, and enhance your resilience. A lack of self-confidence is one of the greatest maladies of today’s world, one that is responsible for the rampant helplessness, lack of self-control, aimlessness, procrastination, and despair that characterize modern society. But as the venerable steel magnate Andrew Carnegie emphasized to Hill, “Confidence is a state of mind, necessary to succeed, and the starting point of developing self-confidence is definiteness of purpose.” The time for self-doubt and self-criticism is over. Your faith in yourself and your abilities determines whether you fail or succeed. Napoleon Hill’s Self-Confidence Formula enables you to boost your self-confidence through the application of Hill’s strategies for controlling your thoughts. By implementing these principles, you will not only be able to operate at a higher plane of thought and action—attracting more opportunities, gaining influence, and strengthening relationships—but you will also be able to instill this critical quality in others. Napoleon Hill’s Self-Confidence Formula gives you the keys to success and fulfillment by equipping you to: unlearn fears, insecurities, and limitations acquired in childhood and adolescence condition your mind to believe in the certainty of your success take bold, confident action on your definite chief aim conquer your inferiority complex through the mastermind principle build the self-reliance and self-esteem of today’s youth You are now on the journey to confident, purposeful living. As you implement Hill’s principles, you will cultivate a state of mind primed to accept the abundance reserved for you.