Author: Richard N. Aufmann
Publisher: Cengage Learning
ISBN: 9780618825080
Category : Trigonometry
Languages : en
Pages : 0
Book Description
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in COLLEGE TRIGONOMETRY, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.
Student Solutions Manual for Aufmann/Barker/Nation's College Trigonometry, 6th
Author: Richard N. Aufmann
Publisher: Cengage Learning
ISBN: 9780618825080
Category : Trigonometry
Languages : en
Pages : 0
Book Description
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in COLLEGE TRIGONOMETRY, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.
Publisher: Cengage Learning
ISBN: 9780618825080
Category : Trigonometry
Languages : en
Pages : 0
Book Description
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in COLLEGE TRIGONOMETRY, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.
Resolution of Curve and Surface Singularities in Characteristic Zero
Author: K. Kiyek
Publisher: Springer Science & Business Media
ISBN: 1402020295
Category : Mathematics
Languages : en
Pages : 506
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}.
Publisher: Springer Science & Business Media
ISBN: 1402020295
Category : Mathematics
Languages : en
Pages : 506
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}.
Smoothings of Piecewise Linear Manifolds
Author: Morris W. Hirsch
Publisher: Princeton University Press
ISBN: 9780691081458
Category : Mathematics
Languages : en
Pages : 152
Book Description
The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.
Publisher: Princeton University Press
ISBN: 9780691081458
Category : Mathematics
Languages : en
Pages : 152
Book Description
The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.
Student Solutions Manual for Aufmann/Lockwood's Prealgebra: An Applied Approach
Author: Richard N. Aufmann
Publisher: Cengage Learning
ISBN: 9781285092331
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Publisher: Cengage Learning
ISBN: 9781285092331
Category : Mathematics
Languages : en
Pages : 0
Book Description
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Multivariable Calculus, Linear Algebra, and Differential Equations
Author: Stanley I. Grossman
Publisher: Academic Press
ISBN: 1483218031
Category : Mathematics
Languages : en
Pages : 993
Book Description
Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.
Publisher: Academic Press
ISBN: 1483218031
Category : Mathematics
Languages : en
Pages : 993
Book Description
Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.
Principles of Chemistry
Author: Raymond E. Davis
Publisher: Saunders College Pub
ISBN: 9780030604584
Category : Science
Languages : en
Pages : 884
Book Description
Publisher: Saunders College Pub
ISBN: 9780030604584
Category : Science
Languages : en
Pages : 884
Book Description
Inverse Spectra
Author: Alex Chigogidze
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 440
Book Description
Invited to translate his 1992 book from the Russian, Chigogidze chose instead to produce an updated version. He introduces a powerful method used in various branches of topology and also being applied to functional analysis and algebra. He surveys the Hilbert cube and Hilbert space manifold theories, recent developments of the Menger and Nobeling manifold theories, infinite-dimensional manifolds, cohomological dimensions, the general theory of absolute extensors in dimension n and n-soft mappings, the topology of non-metrizable manifolds, and applications in a number of areas. Annotation copyrighted by Book News, Inc., Portland, OR
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 440
Book Description
Invited to translate his 1992 book from the Russian, Chigogidze chose instead to produce an updated version. He introduces a powerful method used in various branches of topology and also being applied to functional analysis and algebra. He surveys the Hilbert cube and Hilbert space manifold theories, recent developments of the Menger and Nobeling manifold theories, infinite-dimensional manifolds, cohomological dimensions, the general theory of absolute extensors in dimension n and n-soft mappings, the topology of non-metrizable manifolds, and applications in a number of areas. Annotation copyrighted by Book News, Inc., Portland, OR
Student Solutions Manual for Aufmann/Lockwood's Introductory and Intermediate Algebra: An Applied Approach
Author: Richard N. Aufmann
Publisher: Cengage Learning
ISBN: 9781285417622
Category : Mathematics
Languages : en
Pages : 0
Book Description
Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Publisher: Cengage Learning
ISBN: 9781285417622
Category : Mathematics
Languages : en
Pages : 0
Book Description
Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
College Algebra
Author: Ron Larson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 952
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 952
Book Description
Student Solutions Manual for Aufmann's Basic College Mathematics
Author: Joanne Lockwood
Publisher:
ISBN: 9780176704391
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780176704391
Category :
Languages : en
Pages :
Book Description