Are U 4 Real?


Book Description

Kyla is exactly the kind of girl Alex could never talk to in real life. She's a gorgeous, outspoken L.A. girl who parties to forget about her absent father and depressed mother. He's a shy ballet dancer from outside San Francisco who's never been kissed. Luckily, when these sixteen-year-olds meet for the first time it's not in real life - it's in a chat room. Alex and Kyla quickly forge a friendship that's far from virtual - maybe they're even falling in love. But what happens when the soul mate you've never met moves from online to in person?




Improvise for Real


Book Description

Improvise for Real is a step-by-step method that teaches you to improvise your own music through progressive exercises that anyone can do. You'll learn to understand the sounds in the music all around you. And you'll learn to express your own musical ideas exactly as you hear them in your mind. The method starts with very simple creative exercises that you can begin right away. As you progress, the method leads you on a guided tour through the entire world of modern harmony. You will be improvising your own original melodies from the very first day, and your knowledge will expand with each practice session as you explore and discover our musical system for yourself. Improvise for Real brings together creativity, ear training, music theory and physical technique into a single creative daily practice that will show you the entire path to improvisation mastery. You will learn to understand the sounds in the music all around you and to improvise with confidence over jazz standards, blues songs, pop music or any other style you would like to play. And you'll be jamming, enjoying yourself and creating your own music every step of the way. The method is open to all instruments and ability levels. The exercises are easy to understand and fun to practice. There is no sight reading required, and you don't need to know anything about music theory to begin. Already being used by both students and teachers in more than 20 countries, Improvise for Real is now considered by many people to be the definitive system for learning to improvise. If you have always dreamed of truly understanding music and being able to improvise with complete freedom on your instrument, this is the book for you




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Book Description




Differential Geometry


Book Description

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry. Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.







Partial Differential Equations


Book Description

This book is based on a course I have given five times at the University of Michigan, beginning in 1973. The aim is to present an introduction to a sampling of ideas, phenomena, and methods from the subject of partial differential equations that can be presented in one semester and requires no previous knowledge of differential equations. The problems, with hints and discussion, form an important and integral part of the course. In our department, students with a variety of specialties-notably differen tial geometry, numerical analysis, mathematical physics, complex analysis, physics, and partial differential equations-have a need for such a course. The goal of a one-term course forces the omission of many topics. Everyone, including me, can find fault with the selections that I have made. One of the things that makes partial differential equations difficult to learn is that it uses a wide variety of tools. In a short course, there is no time for the leisurely development of background material. Consequently, I suppose that the reader is trained in advanced calculus, real analysis, the rudiments of complex analysis, and the language offunctional analysis. Such a background is not unusual for the students mentioned above. Students missing one of the "essentials" can usually catch up simultaneously. A more difficult problem is what to do about the Theory of Distributions.




Physical Chemistry


Book Description

The present book is written, to fulfil the requirement, not only of undergraduate students but also of postgraduates. This book provides knowledge for the Entrance Exams for Medical and Engineering Colleges. This book provides simple language clear example, and systematic presentation. The book includes, important principles, equations, theorems and concepts.




The Encyclopædia Britannica


Book Description




Selected Works Of Emil Wolf (With Commentary)


Book Description

This invaluable book presents most of the important papers of Emil Wolf, published over half-a-century. It covers chiefly diffraction theory (especially the analysis of the focal region), the theory of direct and inverse scattering, phase-space methods in quantum mechanics, the foundation of radiometry, phase conjugation and coherence theory. Several papers which have become classics of the optical literature are included, such as those on Wolf's rigorous formulation of the theory of partial coherence and partial polarization, the introduction of diffraction tomography, and his discovery of correlation-induced shifts of spectral lines (often called the Wolf effect). There are also papers dealing with the historical development of optics and some review articles.




Handbook of Mathematics


Book Description

International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examples), Rolle's theorem, and the logarithmic function. The book also discusses extensively the functions of two variables in partial differentiation and multiple integrals. The book then describes the theory of functions, ordinary differential functions, special functions and the topic of sequences and series. The book explains vector analysis (which includes dyads and tensors), the use of numerical analysis, probability statistics, and the Laplace transform theory. Physicists, engineers, chemists, biologists, and statisticians will find this book useful.