The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.
A practical and hands-on guide for learning the practical science of AP chemistry and preparing for the AP chem exam Gearing up for the AP Chemistry exam? AP Chemistry For Dummies is packed with all the resources and help you need to do your very best. Focused on the chemistry concepts and problems the College Board wants you to know, this AP Chemistry study guide gives you winning test-taking tips, multiple-choice strategies, and topic guidelines, as well as great advice on optimizing your study time and hitting the top of your game on test day. This user-friendly guide helps you prepare without perspiration by developing a pre-test plan, organizing your study time, and getting the most out or your AP course. You'll get help understanding atomic structure and bonding, grasping atomic geometry, understanding how colliding particles produce states, and so much more. To provide students with hands-on experience, AP chemistry courses include extensive labwork as part of the standard curriculum. This is why the book dedicates a chapter to providing a brief review of common laboratory equipment and techniques and another to a complete survey of recommended AP chemistry experiments. Two full-length practice exams help you build your confidence, get comfortable with test formats, identify your strengths and weaknesses, and focus your studies. You'll discover how to Create and follow a pretest plan Understand everything you must know about the exam Develop a multiple-choice strategy Figure out displacement, combustion, and acid-base reactions Get familiar with stoichiometry Describe patterns and predict properties Get a handle on organic chemistry nomenclature Know your way around laboratory concepts, tasks, equipment, and safety Analyze laboratory data Use practice exams to maximize your score Additionally, you'll have a chance to brush up on the math skills that will help you on the exam, learn the critical types of chemistry problems, and become familiar with the annoying exceptions to chemistry rules. Get your own copy of AP Chemistry For Dummies to build your confidence and test-taking know-how, so you can ace that exam!
This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation. As a prerequisite to addressing these topics, the book also discusses the radar ambiguity theory as it applies to synthetic aperture imaging and the propagation of radio waves through the ionospheric plasma, including the anisotropic and turbulent cases. In addition, it covers a host of related subjects, such as the mathematical modeling of extended radar targets (as opposed to point-wise targets) and the scattering of radio waves off those targets, as well as the theoretical analysis of the start-stop approximation, which is used routinely in SAR signal processing but often without proper justification. The mathematics in this volume is clean and rigorous – no assumptions are hidden or ambiguously stated. The resulting work is truly interdisciplinary, providing both a comprehensive and thorough exposition of the field, as well as an accurate account of a range of relevant physical processes and phenomena. The book is intended for applied mathematicians interested in the area of radar imaging or, more generally, remote sensing, as well as physicists and electrical/electronic engineers who develop/operate spaceborne SAR sensors and perform the data processing. The methods in the book are also useful for researchers and practitioners working on other types of imaging. Moreover, the book is accessible to graduate students in applied mathematics, physics, engineering, and related disciplines. Praise for Transionospheric Synthetic Aperture Imaging: “I perceive that this text will mark a turning point in the field of synthetic aperture radar research and practice. I believe this text will instigate a new era of more rigorous image formation relieving the research, development and practitioner communities of inconsistent physical assumptions and numerical approaches.” – Richard Albanese, Senior Scientist, Albanese Defense and Energy Development LLC
Organizing the basic material of complex analysis in a unique manner, the authors of this versatile book aim is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician.
From liquids and solids to acids and bases - work chemistry equations and use formulas with ease Got a grasp on the chemistry terms and concepts you need to know, but get lost halfway through a problem or, worse yet, not know where to begin? Have no fear - this hands-on guide helps you solve many types of chemistry problems in a focused, step-by-step manner. With problem-solving shortcuts and lots of practice exercises, you'll build your chemistry skills and improve your performance both in and out of the science lab. You'll see how to work with numbers, atoms, and elements; make and remake compounds; understand changes in terms of energy; make sense of organic chemistry; and more! 100s of Problems! Know where to begin and how to solve the most common chemistry problems Step-by-step answer sets clearly identify where you went wrong (or right) with a problem Understand the key exceptions to chemistry rules Use chemistry in practical applications with confidence
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory. The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.
Get the confidence and the math skills you need to get started with calculus! Are you preparing for calculus? This easy-to-follow, hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in your cour sework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every problem. You'll also memorize the most frequently used equations, see how to avoid common mistakes, understand tricky trig proofs, and much more. 100s of Problems! Detailed, fully worked-out solutions to problems The inside scoop on quadratic equations, graphing functions, polynomials, and more A wealth of tips and tricks for solving basic calculus problems
Offers an introduction to the principles of pre-calculus, covering such topics as functions, law of sines and cosines, identities, sequences, series, and binomials.
Get the confidence and math skills you need to get started with calculus Are you preparing for calculus? This hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in the course. You'll get hundreds of valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every problem. You'll also memorize the most frequently used equations, see how to avoid common mistakes, understand tricky trig proofs, and much more. Pre-Calculus Workbook For Dummies is the perfect tool for anyone who wants or needs more review before jumping into a calculus class. You'll get guidance and practical exercises designed to help you acquire the skills needed to excel in pre-calculus and conquer the next contender-calculus. Serves as a course guide to help you master pre-calculus concepts Covers the inside scoop on quadratic equations, graphing functions, polynomials, and more Covers the types of problems you'll encounter in your coursework With the help of Pre-Calculus Workbook For Dummies you'll learn how to solve a range of mathematical problems as well as sharpen your skills and improve your performance.
AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey
AMS Special Session Geometric Group Theory, April 21-22, 2001, Las Vegas, Nevada, AMS Special Session Computational Group Theory, April 28-29, 2001, Hoboken, New Jersey
This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory.
Relax. The fact that you’re even considering taking the AP Biology exam means you’re smart, hard-working and ambitious. All you need is to get up to speed on the exam’s topics and themes and take a couple of practice tests to get comfortable with its question formats and time limits. That’s where AP Biology For Dummies comes in. This user-friendly and completely reliable guide helps you get the most out of any AP biology class and reviews all of the topics emphasized on the test. It also provides two full-length practice exams, complete with detailed answer explanations and scoring guides. This powerful prep guide helps you practice and perfect all of the skills you need to get your best possible score. And, as a special bonus, you’ll also get a handy primer to help you prepare for the test-taking experience. Discover how to: Figure out what the questions are actually asking Get a firm grip on all exam topics, from molecules and cells to ecology and genetics Boost your knowledge of organisms and populations Become equally comfortable with large concepts and nitty-gritty details Maximize your score on multiple choice questions Craft clever responses to free-essay questions Identify your strengths and weaknesses Use practice tests to adjust you exam-taking strategy Supplemented with handy lists of test-taking tips, must-know terminology, and more, AP Biology For Dummies helps you make exam day a very good day, indeed.
The discreteness problem is the problem of determining whether or not a two-generator subgroup of $PSL(2, R)$ is discrete. Historically, papers on this old and subtle problem have been known for their errors and omissions. This book presents the first complete geometric solution to the discreteness problem by building upon cases previously presented by Gilman and Maskit and by developing a theory of triangle group shinglings/tilings of the hyperbolic plane and a theory explaining why the solution must take the form of an algorithm. This work is a thoroughly readable exposition that captures the beauty of the interplay between the algebra and the geometry of the solution.
Many of us want to decrypt the instrument and unleash our play, but the study of music, particularly guitar, is fraught with complex theorems and diagrams, rote memorization, arcane reference points, and archaic devices. Most guitar books are a rehash of tools invented centuries ago that turn the process into a slog. It's time for a new language. Meet SIGIL—the new language of guitar. Guitarists who want to improvise and compose, from novice to advanced, will find SIGIL, the guitar decoder ring, which is simple enough to keep in their heads, an accelerator for their progress. Music instructors will gain a refreshing new perspective on the fretboard. The guitar must be freed from the medieval conventions of the orchestra pit and conductor and unshackled from other instruments, like the piano, so guitar players can easily chart their own course. You will not find chord charts, scale patterns, mode charts, wheel of 5ths diagrams, or similar traditional devices in The Guitar Decoder Ring. This is an entirely new and portable language for the instrument that works everywhere, all the time, and does all of it faster and more simply. Most of what's occurring in guitar instruction is not new. There's been very little innovation in almost 600 years (guitar tablature) — 240 if you count the first 6-string. It's time. Be skeptical—it's fine. This book will equip you with a simple, portable, 5-letter alphabet and show you how to use it in every category of learning and progress to tear up the wall charts. Advanced players will speed more interesting solos and compositions. Instructors will have a gold-standard go-to book for equipping learners at EVERY level. The authors are a seasoned musician and thriving guitar instructor, Barry Gilman, and a relatively new musician, Asher Black, with a relevant background in logic, reasoning, history, and storytelling. The book is readable, humorous, and insightful and walks the reader through the toolset with eye-opening examples. This is guitar study re-engineered. Break through your lull or stall and free your play from the pit of worn habit.
A thousand years ago, village farmers in the Mimbres Valley of what is now southwestern New Mexico created stunning black-on-white pottery. Mimbres pottery has added a fascinating dimension to southwestern archaeology, but it has also led to the partial or total destruction of most Mimbres sites. The Mimbres Foundation, in one of the few modern investigations of a Mimbres pueblo, excavated the Mattocks site, containing about 180 surface rooms in addition to pit structures. Mimbres Life and Society details the Mattocks site’s architecture and artifacts, and it includes 160 figures, showing more than 400 photographs of painted vessels from the site. Mimbres pueblos, as early examples of people using surface room blocks, are ideal for investigating questions about how and why people moved from earlier subterranean pit structures to aboveground room blocks. The authors consider the number of households living at the site before and after the transition, as well as the lack of evidence for subsistence intensification and population growth as causes of this transition. These analyses suggest that each room block on the site housed a single family as opposed to multiple families, the more common interpretation. There were not necessarily more households on the site during the Classic period than earlier. Patricia A. Gilman and Steven A. LeBlanc spent five seasons excavating at the Mattocks site and many more analyzing and writing about Mattocks site data. They note that subtle social differences among people were at play, and they emphasize that the Mattocks site may be unique among Mimbres pueblos in many aspects. Mimbres Life and Society reveals broad-ranging implications for southwestern archaeologists and anyone interested in understanding the ancient Southwest and early village societies.
Including: The Book of the Dead, The Magic Book, Stories and Poems of Ancient Egypt, The Rosetta Stone, Hymn to the Nile, The Laments of Isis and Nephthys, The Egyptian Book of Herodotus
Including: The Book of the Dead, The Magic Book, Stories and Poems of Ancient Egypt, The Rosetta Stone, Hymn to the Nile, The Laments of Isis and Nephthys, The Egyptian Book of Herodotus
This meticulously edited collection of history, literature and archaeological discoveries, is enriched with the key documents, images and historical sources of Ancient Egypt as well as with some of the most famous works of Ancient Egyptian literature. "Ancient Egypt" represents the civilization of North Africa, concentrated along the lower reaches of the Nile River in the place that is now as the country of Egypt. The history of ancient Egypt occurred as a series of stable kingdoms, separated by periods of relative instability known as Intermediate Periods: The Old Kingdom of the Early Bronze Age, the Middle Kingdom of the Middle Bronze Age and the New Kingdom of the Late Bronze Age. Contents: Contents: History of Ancient Egypt Archaeology of Ancient Egypt Literature of Ancient Egypt Primary Sources of the Ancient Egyptian History: The Book of the Dead Papyrus of Ani The Rosetta Stone Hymn to the Nile The Laments of Isis and Nephthys Great Hymn to Aten Hymn to Osiris-Sokar The Precepts of Ptah-Hotep The Victory of Ramses II Over the Khita An Account of the Battle of Megiddo Charm for the Protection of a Child Stories and Poems of Ancient Egypt Tale of the Doomed Prince The Magic Book The Dialogue of a Misanthrope with His Own Soul Ancient Egyptian Love Poems The Egyptian Book of Herodotus
A totally effective and surprisingly fun guide to the Graduate Record Examination In Fall 2007, the GRE Program is planning to implement significant changes to the verbal measure, quantitative measure, and analytical writing sections of the GRE. This easy-to-use, refreshingly irreverent revision shares inside information on what to expect with these changes, helping both recent graduates and workforce veterans prepare for the revised test, maximize their score, and get into the graduate program of their choice. It includes all of the secrets of the Internet-based test (iBT)-in which the computer generates unique questions according to correct or incorrect answers-as well as brush-up reviews on math and grammar, two complete practice tests, and proven time-management techniques that make test-prep fun and simple. Suzee Vlk wrote For Dummies guides to the ACT, SAT, GRE, and GMAT and taught test preparation classes for more than 25 years. Michelle Gilman (Solana, CA) is the founder and CEO of Fusion Learning Center. Veronica Saydak (Solana, CA) is Director of student curricula at Fusion and has been tutoring test preparation at all levels for several years.
Boost your test-taking skills and beat the clock Prepare for the ACT? quickly and painlessly and maximize yourscore! Are you one of the millions of students taking the ACT? Have nofear! This friendly guide gives you the competitive edge by fullypreparing you for every section of the ACT, including the optionalwriting test. You get two complete practice tests plus samplequestions -- all updated -- along with proven test-takingstrategies to improve your score. Discover how to * Study for each section * Stay focused during the test * Manage your time wisely * Make smart guesses * Spot test traps and tricks
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