Author: Hung-Hsi Wu
Publisher: American Mathematical Soc.
ISBN: 147045677X
Category : Education
Languages : en
Pages : 417
Book Description
This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Pre-Calculus, Calculus, and Beyond
Author: Hung-Hsi Wu
Publisher: American Mathematical Soc.
ISBN: 147045677X
Category : Education
Languages : en
Pages : 417
Book Description
This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Publisher: American Mathematical Soc.
ISBN: 147045677X
Category : Education
Languages : en
Pages : 417
Book Description
This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
AMS.
Author: United States. Agricultural Marketing Service
Publisher:
ISBN:
Category : Farm produce
Languages : en
Pages : 1666
Book Description
Publisher:
ISBN:
Category : Farm produce
Languages : en
Pages : 1666
Book Description
Algebra and Geometry
Author: Hongxi Wu
Publisher: American Mathematical Soc.
ISBN: 1470456761
Category : Education
Languages : en
Pages : 375
Book Description
This is the second of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Publisher: American Mathematical Soc.
ISBN: 1470456761
Category : Education
Languages : en
Pages : 375
Book Description
This is the second of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Securities Traded on Exchanges Under the Securities Exchange Act as of ...
Author:
Publisher:
ISBN:
Category : Securities
Languages : en
Pages : 82
Book Description
Publisher:
ISBN:
Category : Securities
Languages : en
Pages : 82
Book Description
Securities Traded on Exchanges Under the Securities Exchange Act of 1934
Author: United States. Securities and Exchange Commission
Publisher:
ISBN:
Category : Securities
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category : Securities
Languages : en
Pages : 92
Book Description
The Classification of the Finite Simple Groups, Number 3
Author: Daniel Gorenstein
Publisher: American Mathematical Soc.
ISBN: 9780821803912
Category : Finite simple groups
Languages : en
Pages : 446
Book Description
Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Publisher: American Mathematical Soc.
ISBN: 9780821803912
Category : Finite simple groups
Languages : en
Pages : 446
Book Description
Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Catalogue of the Printed Books in the Library of the Faculty of Advocates
Author: Faculty of Advocates (Scotland). Library
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 1042
Book Description
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 1042
Book Description
American Motorcyclist
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
American Motorcyclist magazine, the official journal of the American Motorcyclist Associaton, tells the stories of the people who make motorcycling the sport that it is. It's available monthly to AMA members. Become a part of the largest, most diverse and most enthusiastic group of riders in the country by visiting our website or calling 800-AMA-JOIN.
Publisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
American Motorcyclist magazine, the official journal of the American Motorcyclist Associaton, tells the stories of the people who make motorcycling the sport that it is. It's available monthly to AMA members. Become a part of the largest, most diverse and most enthusiastic group of riders in the country by visiting our website or calling 800-AMA-JOIN.
Inklings of Areal Autometry, etc
Author: William HOULSTON (Sub-Collector of Customs.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Record of American and Foreign Shipping
Author: American Bureau of Shipping
Publisher:
ISBN:
Category : Ship registers
Languages : en
Pages : 1162
Book Description
Publisher:
ISBN:
Category : Ship registers
Languages : en
Pages : 1162
Book Description