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Another Five Big Mountains and Treks provides a first-hand, intimate account of the trials and tribulations of climbing five well-known mountains or trails, all from the perspective of a middle-aged, ""regular guy"" who has survived cancer and has kept on climbing. David Schaeffer recounts the everyday challenges of training, traveling, and attempting to stay up with younger climbers and professional guides, in his attempt to reach the summits of Mount Rainier in Washington State, Mount Fuji in Japan, and Cho Oyu in Western China (the sixth highest mountain in the world), and to complete the strenuous treks to Everest Base Camp and Machu Picchu via the Inca Trail. Along the way, the author discusses the frustrations of climbs interrupted by snowstorms and avalanches, the glories of reaching the summits, and ultimately his decision to turn around on Cho Oyu when blood pressure and heart rate issues increased the risk beyond acceptable levels. As in his first book, Five Big Mountains, Schaeffer's recounting of his experiences is both wonderfully written and inspiring.

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This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text. Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).

Mathematics. --- Dynamics. --- Ergodic theory. --- Differential equations. --- Physics. --- Ordinary Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Dynamical Systems and Ergodic Theory. --- Natural philosophy --- Philosophy, Natural --- 517.91 Differential equations --- Differential equations --- Ergodic transformations --- Dynamical systems --- Kinetics --- Math --- Differential Equations. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- Mathematical physics. --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Physical mathematics

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Differential geometry. Global analysis

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Bifurcation theory --- Group theory --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Bifurcation theory. --- Group theory. --- Differential equations, Nonlinear --- Stability --- Numerical solutions --- 517.988 --- 517.988 Nonlinear functional analysis and approximation methods --- Nonlinear functional analysis and approximation methods