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Book A Complete Guide to Volume Price Analysis

Download or read book A Complete Guide to Volume Price Analysis written by Anna Coulling and published by Createspace Independent Publishing Platform. This book was released on 2013-09-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here in the UK we have a product called Marmite. It is a deeply divisive food, which you either love or hate. Those who love it, cannot understand how anyone could live without it - and of course, the opposite is true for those who hate it!This same sentiment could be applied to volume as a trading indicator. In other words, you are likely to fall into one of two camps. You either believe it works, or you don't. It really is that simple. There is no halfway house here!I make no bones about the fact that I believe I was lucky in starting my own trading journey using volume. To me it just made sense, and the logic of what it revealed was inescapable. And for me, the most powerful reason is very simple. Volume is a rare commodity in trading - a leading indicator. The second, and only other leading indicator, is price. Everything else is lagged.As traders, investors or speculators, all we are trying to do is to forecast where the market is heading next. Is there any better way than to use the only two leading indicators we have at our disposal, namely volume and price? In isolation each tells us very little. After all, volume is just that, no more no less. A price is a price. However, combine these two forces together, and the result is a powerful analytical approach to forecasting market direction..However, as I say at the start of the book, there is nothing new in trading, and the analysis of volume has been around for over 100 years. After all, this is where the iconic traders started. People like Charles Dow, Jesse Livermore, Richard Wyckoff, and Richard Ney. All they had was the ticker tape, from which they read the price, and the number of shares traded. Volume price analysis, short and simple. The book has been written for traders who have never come across this methodology, and for those who have some knowledge, and perhaps wish to learn a little more. It is not revolutionary, or innovative, but just simple sound common sense, combined with logic.

Book Real Analysis

    Book Details:
  • Author : Barry Simon
  • Publisher : American Mathematical Soc.
  • Release : 2015-11-02
  • ISBN : 1470410990
  • Pages : 811 pages

Download or read book Real Analysis written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Book A Complete Course To Volume Price Analysis

Download or read book A Complete Course To Volume Price Analysis written by and published by Independently Published. This book was released on 2021-07-20 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Complete Course to Volume Price Analysis" provides a good starting point for you in trading and investment analysis. It covers important topics like Wyckoff theory, floating volume analysis, bar by bar reading of chart and lays a solid foundation for a serious trader like you. After reading this book, you'll be able to analyze market structures and can make informed trade decisions. You will get benefited from reading the book and by applying skills gained to the real market. You must have realized that many times after you take a position, the market goes against you as if it was waiting for you before changing the direction. As per Wyckoff's Theory, few market makers manipulate the market and move the market in such a way that most of the retailers lose their bet. In VPA, analysis we combine Wyckoff's theory and volume price analysis to align our trade with trades of market makers. This is thus another art of trading along with momentum and not a tool to identify the position of exact high or low. Following are the major type of bars that we will attempt to identify objectively so that there is no ambiguity in their identification: 1. Bar indicating no demand by retailers (sold in anticipation of price fall). 2. Bar indicating no supply by retailers (holding and expecting price rise). 3. Buying climax, the bar marking an end of up-trend and beginning of the distribution of stocks by market makers. 4. Effort to move-up: Effort by market makers to rise scrip prices 5. Effort to move-down: Effort by market makers to reduce or drop scrip prices 6. Move-up failed: A previous attempt by market makers to rise price up failed 7. Move-down failed: A previous attempt by market makers to move the price down failed 8. Stopping volume: Attempt by market makers to stop fall in price and bring strength to market 9. Market testing Bar: Testing strength of previously established supply or demand zone. 10. Upthrust Bar: An attempt to trap buyers at high prices.

Book Wyckoff 2 0  Structures  Volume Profile and Order Flow

Download or read book Wyckoff 2 0 Structures Volume Profile and Order Flow written by Rubén Villahermosa and published by Rubén Villahermosa. This book was released on 2021-02-04 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: "If there is a shortcut in trading, it is probably this book". Are you already an experienced trader? Do you want to learn advanced trading strategies? Are you stuck in your trading? Welcome to the book that is breaking schemes: WYCKOFF 2.0: STRUCTURES, VOLUME PROFILE AND ORDER FLOW. Ruben Villahermosa, Amazon bestseller and independent trader, reveals in this book a professional trading strategy based on two of the most powerful concepts of Technical Analysis: the best price analysis together with the best volume analysis. In this book you will learn... Advanced knowledge about how financial markets work: Dark Pools, OTC markets... Tools created by and for professional traders: Volume Profile. Order Flow. How the crossing of orders occurs and the problems of its analysis. Building step by step your own trading and investment strategy. The operating principles with Value Areas. How to implement Order Flow patterns for DayTrading. What is Wyckoff 2.0: the synergy between structure analysis and volume profiling. Evolved concepts of Position Management. Hurry up, BUY THE BOOK NOW and get ready to boost your results! Learn to do DAY TRADING like a professional Wyckoff 2.0 is the natural evolution of the Wyckoff Methodology. It is about bringing together two of the most powerful concepts of Technical Analysis: the best PRICE analysis together with the best VOLUME analysis. The only book written by and for experienced traders. For traders who want to make a quality leap in their trading through the study of professional volume analysis tools such as Volume Profile and Order Flow. In this book you will learn advanced knowledge about the functioning of the financial markets, that side B that very few know and that is tremendously important since it determines each and every one of the movements. Being aware of the existence of all this will give you a more objective and comprehensive perspective of what really happens in the market and provide you with a more critical point of view. Develop your own TRADING STRATEGY Having as a fundamental basis the perception of value that we will study with the auction theory, the context and the analytical tools offered by the Wyckoff methodology, as well as the analysis of levels and trading zones identified by Volume Profile, we will propose different trading strategies. In the third part we will approach the Volume Profile tool from an integral perspective. We will learn about its fundamentals, theory, composition, types and shapes of profiles; and we will present some of the most important uses we can make of it. This is undoubtedly one of the key sections of the book. Thanks to the operating principles of the volume profile you will be able to develop your own trading strategies. The best trading course at book cost In this book we will deepen in complex techniques of analysis of Supply and Demand by incorporating new tools based on the information provided by the volume data and that will be very useful, such as the Volume Profile and Order Flow.

Book The Wyckoff Methodology in Depth

Download or read book The Wyckoff Methodology in Depth written by Rubén Villahermosa and published by Rubén Villahermosa. This book was released on 2019-10-10 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how Technical Analysis can help you anticipate market movements and become a winning trader NOW! Are you tired of losing money in the stock market? Have you tried countless trading methods and none of them work? Get rid of everything that didn't work for you and learn a professional approach: THE WYCKOFF METHOD. Ruben Villahermosa, Amazon bestseller and independent trader, has refined and improved some of the most powerful concepts of stock trading and makes them available to you in this book so that you too can benefit. In this book you will learn... How financial markets work. Advanced concepts about price and volume. The 3 fundamental laws. How the accumulation and distribution processes develop. The 7 fundamental market events. The 5 phases of price structures. The 3 operating zones. How to manage the position. And much more...! Imagine that you open a chart and immediately you know if you should buy or sell. Imagine you know at all times who is in control of the market. Imagine you confidently run scenarios to anticipate price movements. If you are ready to challenge yourself BUY THE BOOK NOW! The book you need to beat the market In the financial markets knowing what the big trader is likely to be doing is critical. With this book you will learn to identify them and you will be able to increase your profits considerably. The best book on Advanced Technical Analysis Thanks to the accumulation and distribution schemes we will be able to identify the participation of the professional as well as the general sentiment of the participants up to the present moment, enabling us to assess as objectively as possible who is most likely to be in control. The events and phases are unique to the methodology and help us to chart the development of the structures. This puts us in a position to know what to expect the market to do following the occurrence of each of them, giving us a roadmap to follow at all times. The structures are formed by events and phases and are some forms of representation on the chart of the continuous interaction between the different participants. How to do technical analysis in financial markets This book is the result of having studied a multitude of resources on this approach in addition to my own research and experience after having faced the market for years implementing this strategy. All this has allowed me to refine and improve some of the more primitive concepts of the methodology to adapt them to today's markets and give them a much more operational and real approach.

Book Investing with Volume Analysis

Download or read book Investing with Volume Analysis written by Buff Pelz Dormeier and published by FT Press. This book was released on 2011-03-16 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the continual pursuit for higher profits, investors and traders alike often assume significantly higher risks while chasing the next hot opportunity. Other more sophisticated investors attempt to employ complicated indicators while not fully understanding the information the indicator was designed to reveal. On the other hand, savvy investors employ analysis to gauge the market, positioning themselves to potentially earn higher profits with significantly less risk. Volume analysis attempts to delve deep inside the market trends to help identify shifts within the markets. Investing with Volume Analysis: Identify, Follow, and Profit from Trendspresents an enlightened perspective on the role of volume, not only in pragmatic terms but also in terms of apprehending the underlying rationale of how and why. Award-winning technical analyst Buff Pelz Dormeier teaches state-of-the-art methods for analyzing the relationship of volume to price movements and the evolution of market trends.

Book Reading Price Charts Bar by Bar

Download or read book Reading Price Charts Bar by Bar written by Al Brooks and published by John Wiley & Sons. This book was released on 2009-05-04 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: While complex strategies and systems may work for some traders, understanding price action is all you really need to succeed in this arena. Price action analysis is an effective approach to trading today's markets—whether you're involved in stocks, futures, or options. It allows you to focus on the process of trading without being overwhelmed by a complicated collection of trading techniques. And while this method may appear elementary, it can significantly enhance returns as well as minimize downside risk. One way to apply price action analysis to your trading endeavors is with chart patterns. Nobody understands this better than author Al Brooks, a technical analyst for Futures magazine and an independent trader for more than twenty years. Brooks discovered ten years ago that reading price charts without indicators proved to be the most simple, reliable, and profitable way for him to trade. Mastering that discipline is what made him consistently successful in trading. Now, with Reading Price Charts Bar by Bar, Brooks shares his extensive experience on how to read price action. At the end of the day, anyone can look at a chart, whether it is a candle chart for E-mini S&P 500 futures trading or a bar chart for stock trading, and see very clear entry and exit points. But doing this in real time is much more difficult. Reading Price Charts Bar by Bar will help you become proficient in the practice of reading price action—through the use of trendlines and trend channel lines, prior highs and lows, breakouts and failed breakouts, and other tools—and show you how this approach can improve the overall risk-reward ratio of your trades. Written with the serious trader in mind, this reliable resource addresses the essential elements of this discipline, including the importance of understanding every bar on a price chart, why particular patterns are reliable setups for trades, and how to locate entry and exit points as markets are trading in real time. Brooks focuses on five-minute candle charts to illustrate basic principles, but discusses daily and weekly charts as well. Along the way, he also explores intraday swing trades on several stocks and details option purchases based on daily charts—revealing how using price action alone can be the basis for this type of trading. There's no easy way to trade, but if you learn to read price charts, find reliable patterns, and get a feel for the market and time frame that suits your situation, you can make money. While price action trading doesn't require sophisticated software or an abundance of indicators, this straightforward approach can still put you in a better position to profit in almost any market. Reading Price Charts Bar by Bar will show you how.

Book Trading Price Action Trading Ranges

Download or read book Trading Price Action Trading Ranges written by Al Brooks and published by John Wiley & Sons. This book was released on 2012-01-03 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Trading Price Action Trading Ranges "Al Brooks has written a book every day trader should read. On all levels, he has kept trading simple, straightforward, and approachable. By teaching traders that there are no rules, just guidelines, he has allowed basic common sense to once again rule how real traders should approach the market. This is a must-read for any trader that wants to learn his own path to success." —Noble DraKoln, founder, SpeculatorAcademy.com, and author of Trade Like a Pro and Winning the Trading Game "A great trader once told me that success was a function of focused energy. This mantra is proven by Al Brooks, who left a thriving ophthalmology practice to become a day trader. Al's intense focus on daily price action has made him a successful trader. A born educator, Al also is generous with his time, providing detailed explanations on how he views daily price action and how other traders can implement his ideas with similar focus and dedication. Al's book is no quick read, but an in-depth road map on how he trades today's volatile markets, complete with detailed strategies, real-life examples, and hard-knocks advice." —Ginger Szala, Publisher and Editorial Director, Futures magazine Over the course of his career, author Al Brooks, a technical analysis contributor to Futures magazine and an independent trader for twenty-five years, has found a way to capture consistent profits regardless of market direction or economic climate. And now, with his new three-book series—which focuses on how to use price action to trade the markets—Brooks takes you step by step through the entire process. In order to put his methodology in perspective, Brooks examined an essential array of price action basics and trends in the first book of this series, Trading Price Action TRENDS. Now, in this second book, Trading Price Action TRADING RANGES, he provides important insights on trading ranges, breakouts, order management, and the mathematics of trading. Page by page, Brooks skillfully addresses how to spot and profit from trading ranges—which most markets are in, most of the time—using the technical analysis of price action. Along the way, he touches on some of the most important aspects of this approach, including trading breakouts, understanding support and resistance, and making the most informed entry and exit decisions possible. Throughout the book, Brooks focuses primarily on 5 minute candle charts—all of which are created with TradeStation—to illustrate basic principles, but also discusses daily and weekly charts. And since he trades more than just E-mini S&P 500 futures, Brooks also details how price action can be used as the basis for trading stocks, forex, Treasury Note futures, and options.

Book The Art and Science of Technical Analysis

Download or read book The Art and Science of Technical Analysis written by Adam Grimes and published by John Wiley & Sons. This book was released on 2012-05-31 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: A breakthrough trading book that provides powerful insights on profitable technical patterns and strategies The Art and Science of Technical Analysis is a groundbreaking work that bridges the gaps between the academic view of markets, technical analysis, and profitable trading. The book explores why randomness prevails in markets most, but not all, of the time and how technical analysis can be used to capture statistically validated patterns in certain types of market conditions. The belief of the book is that buying and selling pressure causes patterns in prices, but that these technical patterns are only effective in the presence of true buying/selling imbalance. The Art and Science of Technical Analysis is supported by extensive statistical analysis of the markets, which will debunk some tools and patterns such as Fibonacci analysis, and endorse other tools and trade setups. In addition, this reliable resource discusses trader psychology and trader learning curves based on the author's extensive experience as a trader and trainer of traders. Offers serious traders a way to think about market problems, understand their own performance, and help find a more productive path forward Includes extensive research to validate specific money-making patterns and strategies Written by an experienced market practitioner who has trained and worked with many top traders Filled with in-depth insights and practical advice, The Art and Science of Technical Analysis will give you a realistic sense of how markets behave, when and how technical analysis works, and what it really takes to trade successfully.

Book The Trader s Book of Volume  The Definitive Guide to Volume Trading

Download or read book The Trader s Book of Volume The Definitive Guide to Volume Trading written by Mark Leibovit and published by McGraw Hill Professional. This book was released on 2011-01-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to translate the "language" of volume! Mark Leibovit, a leading market strategist and technical analyst with more than 35 years of trading experience, possesses a solid track record of predicting important movements in the financial market—including Black Monday of 1987, the bear markets of 2000 and 2008, and the “flash crash” of May 2010. Now, with The Trader’s Book of Volume, his secrets are yours! Focusing exclusively on volume technical analysis, The Trader’s Book of Volume describes the basics of volume, explains how to use it to identify and assess the strength of trade-worthy trends, and provides in-depth techniques and strategies for trading volume indicators for profit. With more than 400 charts and graphs, The Trader’s Book of Volume also exhaustively illustrates how readers can profit from a wide array of volume indicators, including: Broad Market Volume Indicators—Cumulative Volume Index, ARMS Index, Upside-Downside Volume, Nasdaq/ NYSE Volume Ratio, Yo-Yo Indicator Volume Indicators—Accumulation/ Distribution, Intraday Intensity, Negative Volume Index, On-Balance Volume, Open Interest Volume Oscillators—Klinger Oscillator, Chaikin Money Flow, Ease of Movement, Volume Oscillator Leibovit Volume Reversal IndicatorTM, the author’s proprietary methodology Under the author’s expert guidance, you can seamlessly incorporate Volume Analysis into your day-to-day trading program. Without a proper approach to Volume Analysis, Leibovit asserts, you’re essentially trading in the “land of the blind.” Use The Trader’s Book of Volume to gain the clearest view possible of market trends and react to them with the confidence and smarts for consistent trading success—and avoid every market crash the future holds.

Book A Course in Abstract Analysis

Download or read book A Course in Abstract Analysis written by John B. Conway and published by American Mathematical Soc.. This book was released on 2012-10-03 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.

Book Forex Trading Using Volume Price Analysis

Download or read book Forex Trading Using Volume Price Analysis written by Anna Coulling and published by Createspace Independent Publishing Platform. This book was released on 2018-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many traders, price and the price chart itself are the beginning and the end of technical analysis. All they consider is the price and nothing else. However, for myself, and many others, this approach completely ignores the extension of price to its logical association with volume, which together reveals the market's true intent, and whether a move is genuine or fake. This approach was first developed by the founding father of technical analysis, Charles Dow, more than a century ago, and then further developed and codified by Richard Wyckoff into his three laws, and what I now call Volume Price Analysis. In this book you will discover how to apply volume price analysis to your own forex trading, regardless of whether you are a scalper or longer term swing or trend trader. Through over 100 worked chart examples, with annotations, you will learn how to read the market for yourself, and anticipate where the market is going next. No longer will you be caught off guard, or trapped into weak positions. And in addition you can apply this powerful methodology directly to your trading, or it can be integrated and blended into existing trading tactics and strategies. All that is required is a chart with volume and price. Volume price analysis answers the one question all traders want an answer to: Where is the market heading next?

Book A Companion to Analysis

    Book Details:
  • Author : Thomas William Körner
  • Publisher : American Mathematical Soc.
  • Release : 2004
  • ISBN : 0821834479
  • Pages : 608 pages

Download or read book A Companion to Analysis written by Thomas William Körner and published by American Mathematical Soc.. This book was released on 2004 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.

Book A Course in Functional Analysis

Download or read book A Course in Functional Analysis written by John B Conway and published by Springer. This book was released on 2019-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

Book Trading and Investing for Beginners

Download or read book Trading and Investing for Beginners written by Rubén Villahermosa and published by Rubén Villahermosa. This book was released on with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you have always wanted to learn how to invest in the stock market but never knew how, then read on because this book has been written for you. Investing in the stock markets is not easy, but you can learn even if you have no prior knowledge. All you need is the right resource: TRADING AND INVESTING FOR BEGINNERS. Ruben Villahermosa, Amazon bestseller and independent trader, has created this revolutionary book with which you can learn from scratch everything you need with a simple language away from technicalities. In this book you will learn... How to improve your personal economy with Financial Education. The most used financial theories. The main investment products. ALL the financial jargon, explained. The basics of Technical Analysis. 3 Technical Analysis Methodologies. 4 winning trading strategies. Key Risk Management concepts. (AWESOME) Emotional management, cognitive biases. How to develop a trading plan step by step. How to properly record and review your trades. And how to start taking your first steps. And much more...! Don't wait any longer, BUY THE BOOK NOW and discover how you too can make money in the stock market. Do you want to make money trading the stock market? In this book I tell you everything you need to Trading in the financial markets and start getting profitability from your savings. The 3 factors you need to become a winning trader or investor 1. Building a winning investment strategy In this book you will learn 4 different types of winning trading strategies that you can implement depending on the market context 2. Implement solid risk management You will apply robust money management strategies and discover advanced techniques for managing trades. 3. Maintain an appropriate market psychology. You will build a statistical and objective mindset, accepting that the market is an environment of uncertainty in which anything can happen at any time. Save Time, Effort and Money Learn about Stock Markets You will discover all the knowledge you need to understand how financial markets work: Market characteristics Main investment products Fundamental concepts and financial jargon You will learn 3 methodologies of Technical Analysis based on the study of the interaction between supply and demand: Price Action Through the study of PRlCE ACTION we will learn to identify the context in order to select the type of trading that best suits it. Volume Profile The VSA methodology identifies the intervention or absence of large traders: when they are entering or exiting, as well as the degree of interest and participation they show in the movements. Wyckoff Method The Wyckoff method focuses on the study of ranges. It tries to elucidate which force is in control and where the next move is most likely to be.

Book Float Analysis

Download or read book Float Analysis written by Steve Woods and published by John Wiley & Sons. This book was released on 2002-04-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pushing the boundaries of technical analysis, Woods combines price and volume charts with the knowledge of available shares in the market, or float, to create a strongly predictive indicator that can target winning stocks with incredible accuracy."--BOOK JACKET.

Book A Course in Complex Analysis and Riemann Surfaces

Download or read book A Course in Complex Analysis and Riemann Surfaces written by Wilhelm Schlag and published by American Mathematical Society. This book was released on 2014-08-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.