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Medicine --- History --- Reeves, James E. --- Health.
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Big cats such as lions, tigers, leopards, and jaguars fascinate us like few other creatures. They are enduring symbols of natural majesty and power. Yet despite the magnetic appeal of the big cats, their origins and evolutionary history remain poorly understood—and human activity threatens to put an end to the big cats’ glory.On the Prowl is a fully illustrated and approachable guide to the evolution of the big cats and what it portends for their conservation today. Mark Hallett and John M. Harris trace the origins of these iconic carnivores, venturing down the evolutionary pathways that produced the diversity of big cat species that have walked the earth. They place the evolution and paleobiology of these species in the context of ancient ecosystems and climates, explaining what made big cats such efficient predators and analyzing their competition with other animals. Hallett and Harris pay close attention to human impact, from the evidence of cave paintings and analysis of ancient extinctions up to present-day crises. Their engaging and carefully documented account is brought to life through Hallett’s detailed, vivid illustrations, based on the most recent research by leading paleontologists. Offering a fresh look at the rise of these majestic animals, On the Prowl also makes a powerful case for renewed efforts to protect big cats and their habitats before it is too late.
Panthera --- Evolution.
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This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The second edition includes many new topics and features: • New sections in graph theory on distance, Eulerian trails, and Hamiltonian paths. • New material on partitions, multinomial coefficients, and the pigeonhole principle. • Expanded coverage of Pólya Theory to include de Bruijn’s method for counting arrangements when a second symmetry group acts on the set of allowed colors. • Topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points. • Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable. • Numerous new exercises throughout the book. About the First Edition: ". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked." — Ioana Mihaila, MAA Reviews.
Análisis combinatorio --- Grafos, Teoría de --- Discrete mathematics --- Combinatorial analysis --- Graph theory --- Combinatorial analysis. --- Graph theory. --- Discrete mathematics. --- Combinatorics. --- Mathematical logic. --- Discrete Mathematics. --- Mathematical Logic and Foundations. --- Combinatorics --- Algebra --- Mathematical analysis --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Symbolic and mathematical.
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Three things should be considered: problems, theorems, and applications. - Gottfried Wilhelm Leibniz, Dissertatio de Arte Combinatoria, 1666 This book grew out of several courses in combinatorics and graph theory given at Appalachian State University and UCLA in recent years. A one-semester course for juniors at Appalachian State University focusing on graph theory covered most of Chapter 1 and the first part of Chapter 2. A one-quarter course at UCLA on combinatorics for undergraduates concentrated on the topics in Chapter 2 and included some parts of Chapter I. Another semester course at Appalachian State for advanced undergraduates and beginning graduate students covered most of the topics from all three chapters. There are rather few prerequisites for this text. We assume some familiarity with basic proof techniques, like induction. A few topics in Chapter 1 assume some prior exposure to elementary linear algebra. Chapter 2 assumes some familiarity with sequences and series, especially Maclaurin series, at the level typically covered in a first-year calculus course. The text requires no prior experience with more advanced subjects, such as group theory.
Combinatorial analysis --- Graph theory --- Combinatorial analysis. --- Graph theory. --- Combinatorics. --- Combinatorics --- Algebra --- Mathematical analysis
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Prehistoric peoples --- -Antiquities, Prehistoric --- -Africa, East --- -Antiquities
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