Kaplan Medical's USMLE Step 1 Lecture Notes 2022: 7-Book Set offers full-color review that identifies high-yield topics in every discipline—a comprehensive yet concise approach that will help you focus your study to succeed on the exam. These are the same books used in Kaplan Medical’s courses and trusted by thousands of medical students each year to succeed on USMLE Step 1. The 7 volumes—Pathology, Pharmacology, Physiology, Biochemistry/Medical Genetics, Immunology/Microbiology, Anatomy, and Behavioral Science/Social Sciences—are updated annually by Kaplan's all-star expert faculty. The Best Review 2,600 pages covering every discipline you'll need on this section of the boards Full-color diagrams and charts for better comprehension and retention Clinical correlations and bridges between disciplines highlighted throughout Chapter summary study guides at the end of every chapter for easier review Up-To-Date Content Clinical updates included in all 7 volumes to align with recent changes Organized in outline format with high-yield summary boxes for efficient study

This book is an introduction to the subject of mean curvature flow of hypersurfaces with special emphasis on the analysis of singularities. This flow occurs in the description of the evolution of numerous physical models where the energy is given by the area of the interfaces. These notes provide a detailed discussion of the classical parametric approach (mainly developed by R. Hamilton and G. Huisken). They are well suited for a course at PhD/PostDoc level and can be useful for any researcher interested in a solid introduction to the technical issues of the field. All the proofs are carefully written, often simplified, and contain several comments. Moreover, the author revisited and organized a large amount of material scattered around in literature in the last 25 years.

Kaplan Medical's USMLE Step 1 Lecture Notes 2021: 7-Book Set offers in-depth review with a focus on high-yield topics in every discipline—a comprehensive approach that will help you deepen your understanding while focusing your efforts where they'll count the most. Used by thousands of medical students each year to succeed on USMLE Step 1, Kaplan's official lecture notes are packed with full-color diagrams and clear review. The 7 volumes—Pathology, Pharmacology, Physiology, Biochemistry/Medical Genetics, Immunology/Microbiology, Anatomy, and Behavioral Science/Social Sciences—are updated annually by Kaplan's all-star expert faculty. The Best Review 2,000 pages covering every discipline you'll need on this section of the boards Full-color diagrams and charts for better comprehension and retention Clinical correlations and bridges between disciplines highlighted throughout Chapter summary study guides at the end of every chapter for easier review Up-To-Date Content Clinical updates included in all 7 volumes to align with recent changes Organized in outline format with high-yield summary boxes for efficient study

This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra. The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.

Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b

The notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grothendieck in 1964 as the underlying structure behind the myriad cohomology theories in Algebraic Geometry. We now know that there is a triangulated theory of motives, discovered by Vladimir Voevodsky, which suffices for the development of a satisfactory Motivic Cohomology theory. However, the existence of motives themselves remains conjectural. This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, etale cohomology, and Chow groups. The book is divided into lectures, grouped in six parts. The first part presents the definition of Motivic Cohomology, based upon the notion of presheaves with transfers. Some elementary comparison theorems are given in this part. The theory of (etale, Nisnevich, and Zariski) sheaves with transfers is developed in parts two, three, and six, respectively. The theoretical core of the book is the fourth part, presenting the triangulated category of motives. Finally, the comparison with higher Chow groups is developed in part five. The lecture notes format is designed for the book to be read by an advanced graduate student or an expert in a related field. The lectures roughly correspond to one-hour lectures given by Voevodsky during the course he gave at the Institute for Advanced Study in Princeton on this subject in 1999-2000. In addition, many of the original proofs have been simplified and improved so that this book will also be a useful tool for research mathematicians. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).

Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality, authenticity, or access to online practice tests, Qbank, and other resources included with the product. The only official Kaplan Lecture Notes for USMLE Step 1 cover the comprehensive information you need to ace the exam and match into the residency of your choice. Up-to-date: Updated annually by Kaplan’s all-star faculty Integrated: Packed with clinical correlations and bridges between disciplines Learner-efficient: Organized in outline format with high-yield summary boxes Trusted: Used by thousands of students each year to succeed on USMLE Step 1 Looking for more prep? Our USMLE Step 1 Lecture Notes 2018: 7-Book Set has this book, plus the rest of the 7-book series.