Download or read book Smooth written by Matt Burns and published by Candlewick Press. This book was released on 2020-06-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kevin’s acne is horribly, hideously bad. Can a risky treatment fix his face — and his entire life? A witty and sharply observed debut. Fifteen-year-old Kevin has acne, and not just any acne. Stinging red welts, painful pustules, and massive whiteheads are ruining his life. In an act of desperation, he asks his dermatologist to prescribe him a drug with a dizzying list of possible side effects — including depression — and an obligatory monthly blood test. But when he meets Alex, a girl in the lab waiting room, blood test day quickly becomes his safe haven — something he sorely needs, since everyone, including his two best friends, is trying his last nerve. But as Kevin’s friendships slip further away and he discovers who Alex is outside of the lab, he realizes he's not sure about anything anymore. Are loneliness and self-doubt the side effects of his new acne meds? Or are they the side effects of being fifteen? Told in a bitingly funny first-person narration, this debut novel crackles with wry and wistful insights about the absurdities of high school, longing and heartbreak, and a body out of control. A surefire hit for teen boys and reluctant readers, Smooth gets under the skin of a tenth-grader who is changing — inside and out.
Download or read book An Introduction to Optimization on Smooth Manifolds written by Nicolas Boumal and published by Cambridge University Press. This book was released on 2023-03-16 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science and engineering, including machine learning, computer vision, signal processing, dynamical systems and scientific computing. This text introduces the differential geometry and Riemannian geometry concepts that will help students and researchers in applied mathematics, computer science and engineering gain a firm mathematical grounding to use these tools confidently in their research. Its charts-last approach will prove more intuitive from an optimizer's viewpoint, and all definitions and theorems are motivated to build time-tested optimization algorithms. Starting from first principles, the text goes on to cover current research on topics including worst-case complexity and geodesic convexity. Readers will appreciate the tricks of the trade for conducting research and for numerical implementations sprinkled throughout the book.
Download or read book A Primer On Smooth Manifolds written by Luca Vitagliano and published by World Scientific. This book was released on 2024-02-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a class of geometric objects that locally behave like the standard Euclidean space.The book provides a first introduction to smooth manifolds, aimed at undergraduate students in Mathematics and Physics. The only prerequisites are the Linear Algebra and Calculus typically covered in the first two years. The presentation is as simple as possible, but it does not sacrifice the rigor.The lecture notes are divided into 10 chapters, with gradually increasing difficulty. The first chapters cover basic material, while the last ones present more sophisticated topics. The definitions, propositions, and proofs are complemented by examples and exercises. The exercises, which include part of the proofs, are designed to help the reader learn the language of Differential Geometry and develop their problem-solving skills in the area. The exercises are also aimed at promoting an active learning process. Finally, the book contains pictures which are useful aids for the visualization of abstract geometric situations. The lecture notes can be used by instructors as teaching material in a one-semester course on smooth manifolds.
Download or read book Smooth Tests of Goodness of Fit written by J. C. W. Rayner and published by Oxford University Press, USA. This book was released on 1989 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goodness of fit describes the validity of models involving statistical distributions of data, and smooth tests are a subset of these tests that can be used in any situation in which there are relatively large sample sizes.
Download or read book Models for Smooth Infinitesimal Analysis written by Ieke Moerdijk and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.
Download or read book Smooth Manifolds and Observables written by Jet Nestruev and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.
Download or read book Smooth Dynamical Systems written by M C Irwin and published by World Scientific. This book was released on 2001-04-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area. Request Inspection Copy Contents: Some Simple ExamplesEquivalent SystemsIntegration of Vector FieldsLinear Systems, Linearization, Stable ManifoldsStable SystemsAppendices Readership: Graduate students in mathematics. Keywords:
Download or read book Introduction to Smooth Ergodic Theory written by Luís Barreira and published by American Mathematical Society. This book was released on 2023-04-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems.
Download or read book The Seiberg Witten Equations and Applications to the Topology of Smooth Four Manifolds MN 44 Volume 44 written by John W. Morgan and published by Princeton University Press. This book was released on 2014-09-08 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.
Download or read book Smooth Homotopy of Infinite Dimensional C infty Manifolds written by Hiroshi Kihara and published by American Mathematical Society. This book was released on 2023-09-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Smooth Operator written by Stuart Woods and published by Penguin. This book was released on 2017-05-02 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the #1 New York Times bestselling author of the Stone Barrington series comes the first novel in an extraordinary series starring an old fan favorite: Teddy Fay. When President Kate Lee calls Stone Barrington to Washington on an urgent matter, it’s soon clear that a potentially disastrous situation requires the kind of help more delicate than even he can provide...and he knows just the right man for the job. Teddy Fay: ex-CIA, master of disguise, and a gentleman not known for abiding by legal niceties in the pursuit of his own brand of justice.
Download or read book Bifurcations And Chaos In Piecewise smooth Dynamical Systems Applications To Power Converters Relay And Pulse width Modulated Control Systems And Human Decision making Behavior written by Zhanybai T Zhusubaliyev and published by World Scientific. This book was released on 2003-06-25 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.
Download or read book Morse Theory written by Kevin P Knudson and published by World Scientific Publishing Company. This book was released on 2015-05-29 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
Download or read book The Creation of Strange Non Chaotic Attractors in Non Smooth Saddle Node Bifurcations written by Tobias H. Jger and published by American Mathematical Soc.. This book was released on 2009-08-07 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls `exponential evolution of peaks'.
Download or read book Bifurcations in Piecewise smooth Continuous Systems written by David John Warwick Simpson and published by World Scientific. This book was released on 2010 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail. NeimarkSacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems.
Download or read book Invariant Manifolds Entropy and Billiards Smooth Maps with Singularities written by Anatole Katok and published by Springer. This book was released on 2006-12-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Multiple Disjunction Lemma for Smooth Concordance Embeddings written by Thomas Gehret Goodwillie and published by American Mathematical Soc.. This book was released on 1990 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring background in basic differential topology, this book is aimed at researchers interested in the homotopy type of spaces of smooth embeddings and spaces of diffeomorphisms. The author provides a proof of a useful connectivity estimate in the theory of concordances (or pseudo-isotopies), generalizing Morlet's result from triads to n-ads. The method of proof is a differentiable general position technique analogous to piecewise-linear ''sunny collapsing.''
