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Develops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling. With comprehensive chapters that outline topics ranging in complexity from basic to advanced, the book explores current and emerging applications across a broad range of fields, including mathematics, theoretical and atmospheric physics, economics, and theoretical biology. The authors begin by presenting basic theoretical concepts that serve as the foundation for understanding how and why the discussed theory works. Subusequent chapters compare the geometrical and physical aspects of jet relativistic time-dependent Lagrange geometry to the classical time-dependent Lagrange geometry. A collection of jet geometrical objects are also examined such as d-tensors, relativistic time-dependent semisprays, harmonic curves, and nonlinear connections. Numerous applications, including the gravitational theory developed by both the Berwald-Moor metric and the Chernov metric, are also presented. Throughout the book, the authors offer numerous examples that illustrate how the theory is put into practice, and they also present numerous applications in which the solutions of first-order ordinary differential equation systems are regarded as harmonic curves on 1-jet spaces. In addition, numerous opportunities are provided for readers to gain skill in applying jet single-time Lagrange geometry to solve a wide range of problems. Extensively classroom-tested to ensure an accessible presentation, Jet Single-Time Lagrange Geometry and Its Applications is an excellent book for courses on differential geometry, relativity theory, and mathematical models at the graduate level. The book also serves as an excellent reference for researchers, professionals, and academics in physics, biology, mathematics, and economics who would like to learn more about model-providing geometric structures.

While summering in Wild Horse, Wyoming, Dr. Adam Stone's young daughters gain an immediate hold on veterinarian Cheyenne Granger's heart.And the tall, handsome newcomer brings with him quiet whispers of fairy-tale endings. But Cheyenne had given up hope of a blissfully-ever-after when her boyfriend walked out on her.And Adam is busy nursing his own broken heart. Yet the girls are determined to draw the two together. Is it possible there's a happy ending—involving a family of four—in their future after all?

To fulfill a sick boy's wish, rodeo star Tucker Granger surprises little Owen in the hospital. But no one is more surprised than single mother Sierra Baker.She figures the carefree champion for a different kind of man. One who doesn't spend hours talking cowboy code with a hospital-bound child. One who can't have her dreaming of a second chance at love.Somehow, Tucker ropes her heart and fills it with hope. Hope that this country girl and her son can lasso the roaming bronc rider into their family forever.

Big-city sheriffs don't belong in tiny Wild Horse, Wyoming.At least that's what rancher Autumn Granger thinks when handsome Ford Sherman sweeps into town and sets his sights on her. A country cowgirl, she can't possibly be his match. Like most newcomers, he'll eventually get restless with small-town life and leave it–and her–behind.But when rustlers attack her family's ranch, Ford helps her protect Granger territory. She finds herself hoping that he really is in Wild Horse to stay. Could her holiday wish of a happily ever after with this handsome lawman come true?