Book picks similar to
Complex Semisimple Lie Algebras by Jean-Pierre Serre
mathematics
representation
math-phys
mat
Fundamental Methods of Mathematical Economics
Alpha C. Chiang - 1974
The book's patient explanations are written in an informal, non-intimidating style. To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets.
Statistical Rethinking: A Bayesian Course with Examples in R and Stan
Richard McElreath - 2015
Reflecting the need for even minor programming in today's model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensures that readers understand enough of the details to make reasonable choices and interpretations in their own modeling work.The text presents generalized linear multilevel models from a Bayesian perspective, relying on a simple logical interpretation of Bayesian probability and maximum entropy. It covers from the basics of regression to multilevel models. The author also discusses measurement error, missing data, and Gaussian process models for spatial and network autocorrelation.By using complete R code examples throughout, this book provides a practical foundation for performing statistical inference. Designed for both PhD students and seasoned professionals in the natural and social sciences, it prepares them for more advanced or specialized statistical modeling.Web ResourceThe book is accompanied by an R package (rethinking) that is available on the author's website and GitHub. The two core functions (map and map2stan) of this package allow a variety of statistical models to be constructed from standard model formulas.
An Introduction to Austrian Economics
Thomas C. Taylor - 1980
Taylor discusses all the fundamental aspects of Austrian thought, from subjectivism and marginal utility to inflation and the business cycle. This new and revised edition is widely influential among economics students.For the newcomer, this work represents a concise introduction to both the historical setting of the Austrian School and to the ideas espoused by its members.This volume includes chapters on:Social Cooperation and Resource Allocation Economic Calculation The Subjective Theory of Value The Market and Market Prices Production in an Evenly Rotating Economy From an Evenly Rotating Economy to the Real World Inflation and the Business Trade Cycle96 pp. (pb)
King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
Siobhan Roberts - 2006
Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.
Exploring Medical Language: A Student-Directed Approach
Myrna LaFleur Brooks - 1985
With a logical, body-systems organization and engaging terminology exercises throughout, it's your key to communicating confidently and effectively with other health care professionals.Systematic approach to terminology prepares you to recognize and define new words as you encounter them and build the medical vocabulary you'll need in the health care setting.Pronunciation key provides quick access to frequently referenced material.Complimentary and Alternative Medicine terms boxes highlight words and phrases associated with this increasingly popular discipline.Case studies encourage critical thinking and demonstrate how to apply the information you've learned.Terminology flash cards, included with every book, give you valuable review and self-assessment tools you can take anywhere for study on the go.Evolve resources enhance your learning and reinforcement opportunities with additional exercises, a Spanish/English glossary, and the Body Spectrum Electronic Anatomy Coloring Book.Medical Terminology Online, available at an additional charge, gives you access to a complete online course for the most advanced learning and understanding.New terms and abbreviations familiarize you with the latest terminology in use in health care.New images and illustrations visually acquaint you with pathologic information and procedures you'll encounter in the clinical setting.Enhanced chapter features highlight important concepts and provide guidance for more effective learning and study.CD references within the text direct you to expanded learning opportunities on the companion CD.More than 20 new medical records let you practice medical terminology using the forms you'll encounter in the clinical setting.New icons make it easy to distinguish a variety of helpful boxes and reference the material you need quickly.Answers to review exercises help you gauge your strengths and weaknesses and configure the most effective study plan for you.Website boxes refer you to valuable content you can access online for further learning.Revised pharmacy appendix helps you easily reference key pharmaceutical terms.The vastly updated companion CD provides fun alternatives for reinforcing what you've learned with new learning games, including Medical Millionaire and Termbusters.Enhanced audio companion, available on CD or as iTerms downloads for portable media players, helps you perfect your pronunciation skills and confidently use the terms you've learned in practice.
Data Science
John D. Kelleher - 2018
Today data science determines the ads we see online, the books and movies that are recommended to us online, which emails are filtered into our spam folders, and even how much we pay for health insurance. This volume in the MIT Press Essential Knowledge series offers a concise introduction to the emerging field of data science, explaining its evolution, current uses, data infrastructure issues, and ethical challenges.It has never been easier for organizations to gather, store, and process data. Use of data science is driven by the rise of big data and social media, the development of high-performance computing, and the emergence of such powerful methods for data analysis and modeling as deep learning. Data science encompasses a set of principles, problem definitions, algorithms, and processes for extracting non-obvious and useful patterns from large datasets. It is closely related to the fields of data mining and machine learning, but broader in scope. This book offers a brief history of the field, introduces fundamental data concepts, and describes the stages in a data science project. It considers data infrastructure and the challenges posed by integrating data from multiple sources, introduces the basics of machine learning, and discusses how to link machine learning expertise with real-world problems. The book also reviews ethical and legal issues, developments in data regulation, and computational approaches to preserving privacy. Finally, it considers the future impact of data science and offers principles for success in data science projects.
Concepts in Thermal Physics
Stephen J. Blundell - 2006
This book provides a modern introduction to the main principles that are foundational to thermal physics, thermodynamics and statistical mechanics. The key concepts are carefully presented in a clear way, and new ideas are illustrated with copious worked examples as well as a description of the historical background to their discovery. Applications are presented to subjects as diverse as stellar astrophysics, information and communication theory, condensed matter physics and climate change. Each chapter concludes with detailed exercises.
Step-Up to Medicine
Steven Agabegi - 2004
This book was originally written by third-year medical students searching for the perfect review book--not finding it on the market, they wrote it themselves! Now in its third edition, Step-Up to Medicine boils down the full scope of tested pathology in a single ingenious tool. Each element is tailored for immediate content absorption, and an all-new, full-color interior differentiate elements for even faster, more efficient review. And,
Step-Up to Medicine
, third edition provides two types of self-assessment--the kinds of questions you will ask yourself as a clinician plus USMLE-style practice questions. This review book gives you just the Step-Up to the medicine clerkship, accompanying shelf exams, and USMLE Step 2 that you need! NEW Features for this blockbuster edition: Full-color, updated interior design brings the content to you in a rousing, memorable style. Full-color, updated art program illustrates concepts when a picture says it best--plenty of clinical images also supplement topics. New content on evidence-based medicine keeps you current and informed to guide your clinical decision making. Expanded content on drug dosing is added where relevant.CLASSIC Features students swear by: Complete coverage of high-yield medical topics ensures you are test ready Clinical Pearls boxes help you "file away" clinical medicine connections for handy retrieval at test time Quick Hits glimmering in the margins highlight highly testable material--just see how the sparks fly at test timeBONUS Material and study resources: eBook with the fully searchable text is available via thePoint . NEW 300 USMLE-style questions provide another means of self-assessment and practice for those exams NEW Audio clips of breath and heart sounds also available on thePoint
A Guide To Econometrics
Peter E. Kennedy - 1979
This overview has enabled students to make sense more easily of what instructors are doing when they produce proofs, theorems and formulas.
The Emergence of Probability: A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference
Ian Hacking - 1975
Ian Hacking here presents a philosophical critique of early ideas about probability, induction and statistical inference and the growth of this new family of ideas in the fifteenth, sixteenth and seventeenth centuries. The contemporary debate centres round such figures as Pascal, Leibniz and Jacques Bernoulli. What brought about the change in ideas? The author invokes in his explanation a wider intellectual framework involving the growth of science, economics and the theology of the period.
Fundamentals of Biochemistry: Life at the Molecular Level
Donald Voet - 1998
It is written to impart a sense of intellectual history of biochemistry, an understanding of the tools and approaches used to solve biochemical puzzles, and a hint of the excitement that accompanies new discoveries. This edition has been thoroughly updated to reflect the most recent advances in biochemistry, particularly in the areas of genomics and structural biology. A new chapter focuses on cytoskeletal and motor proteins, currently one of the most active areas of research in biochemistry.