Author: David Halliday
Publisher: Wiley
ISBN: 9780470107256
Category : Science
Languages : en
Pages :

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Author: David Halliday
Publisher:
ISBN: 9780470139387
Category :
Languages : en
Pages :

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Author:
Publisher: Erika Blanchard
ISBN:
Category :
Languages : en
Pages : 396

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Author: United States. School of Naval Justice, Port Hueneme, Calif
Publisher:
ISBN:
Category :
Languages : en
Pages : 228

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Author: David Halliday
Publisher: Wiley
ISBN: 9780470107249
Category : Science
Languages : en
Pages :

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Author: K. Kiyek
Publisher: Springer Science & Business Media
ISBN: 1402020295
Category : Mathematics
Languages : en
Pages : 506

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Book Description
The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.

Author: S. KUMARESAN
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120316282
Category : Mathematics
Languages : en
Pages : 240

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This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.

Author: Doug Cook
Publisher:
ISBN: 9781594394232
Category : Self-Help
Languages : en
Pages : 0

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Discover the original purpose and training of taekwondo The principles and techniques illustrated in this book, having been handed down over the decades, if not centuries, emphasize a core philosophy rich in defensive strategy. Taekwondo, literally translated, can be defined as "foot, hand way" or "the way of smashing with hands and feet." Such descriptive nomenclature understandably implies a curriculum rich in self-defense. Too often, however, this is simply not the case. Given the current popularity of sport competition in the martial arts, many techniques of defensive value have been stripped away or forfeited altogether in favor of those certain to score in the ring. While the thirst for Olympic gold has clearly played a significant role in propelling taekwondo into the forefront, it should be remembered that this native Korean martial art contains over 3200 distinct self defense techniques. This book describes in detail, the history and evolution of Taekwondo from its ancient roots to modern day applications. Also included are exercises in "Ki" or internal energy development, meditation practice, and practical self-defense strategies. This work focuses on the traditional aspects of Taekwondo rather than on its sportive component.

Author: David Halliday
Publisher:
ISBN: 9780470895269
Category :
Languages : en
Pages :

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Author: Shayle R. Searle
Publisher: Wiley-Interscience
ISBN: 9780471322078
Category : Mathematics
Languages : en
Pages : 0

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Coverage of matrix algebra for economists and students ofeconomics Matrix Algebra for Applied Economics explains the important tool ofmatrix algebra for students of economics and practicing economists.It includes examples that demonstrate the foundation operations ofmatrix algebra and illustrations of using the algebra for a varietyof economic problems. The authors present the scope and basic definitions of matrices,their arithmetic and simple operations, and describe specialmatrices and their properties, including the analog of division.They provide in-depth coverage of necessary theory and deal withconcepts and operations for using matrices in real-life situations.They discuss linear dependence and independence, as well as rank,canonical forms, generalized inverses, eigenroots, and vectors.Topics of prime interest to economists are shown to be simplifiedusing matrix algebra in linear equations, regression, linearmodels, linear programming, and Markov chains. Highlights include: * Numerous examples of real-world applications * Challenging exercises throughout the book * Mathematics understandable to readers of all backgrounds * Extensive up-to-date reference material Matrix Algebra for Applied Economics provides excellent guidancefor advanced undergraduate students and also graduate students.Practicing economists who want to sharpen their skills will findthis book both practical and easy-to-read, no matter what theirapplied interests.