Author: Koji Shiga
Publisher: American Mathematical Society
ISBN: 9780821832844
Category : Mathematics
Languages : en
Pages : 148
Book Description
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".
A Mathematical Gift, III
Author: Koji Shiga
Publisher: American Mathematical Society
ISBN: 9780821832844
Category : Mathematics
Languages : en
Pages : 148
Book Description
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".
Publisher: American Mathematical Society
ISBN: 9780821832844
Category : Mathematics
Languages : en
Pages : 148
Book Description
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".
A Mathematical Gift, Volume 1-3
Author: Morita Shigeyuki
Publisher: American Mathematical Soc.
ISBN: 9780821838594
Category : Mathematics
Languages : en
Pages : 0
Book Description
This three-volume set addresses the interplay between topology, functions, geometry, and algebra. Bringing the beauty and fun of mathematics to the classroom, the authors offer serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. It is suitable for advanced high-school students, graduate students, and researchers. The three-volume set includes A Mathematical Gift I, II, and III.
Publisher: American Mathematical Soc.
ISBN: 9780821838594
Category : Mathematics
Languages : en
Pages : 0
Book Description
This three-volume set addresses the interplay between topology, functions, geometry, and algebra. Bringing the beauty and fun of mathematics to the classroom, the authors offer serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. It is suitable for advanced high-school students, graduate students, and researchers. The three-volume set includes A Mathematical Gift I, II, and III.
The World of Mathematics
Author: James R. Newman
Publisher: Рипол Классик
ISBN: 5881361555
Category : History
Languages : en
Pages : 527
Book Description
Publisher: Рипол Классик
ISBN: 5881361555
Category : History
Languages : en
Pages : 527
Book Description
The Complete Book of Math, Grades 1 - 2
Author:
Publisher: Carson-Dellosa Publishing
ISBN: 1483821552
Category : Juvenile Nonfiction
Languages : en
Pages : 352
Book Description
The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
Publisher: Carson-Dellosa Publishing
ISBN: 1483821552
Category : Juvenile Nonfiction
Languages : en
Pages : 352
Book Description
The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
Mathematics at Work
Author: Holbrook Lynedon Horton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
Mathematics of Approximation
Author: Johan De Villiers
Publisher: Springer Science & Business Media
ISBN: 9491216503
Category : Mathematics
Languages : en
Pages : 418
Book Description
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter
Publisher: Springer Science & Business Media
ISBN: 9491216503
Category : Mathematics
Languages : en
Pages : 418
Book Description
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter
Vedic Mathematics for Schools
Author: James T. Glover
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120813182
Category : Juvenile Nonfiction
Languages : en
Pages : 154
Book Description
Vedic Mathematics for School offers a fresh and easy approach to learning mathematics. The system was reconstructed from ancient Vedic sources by the late Bharati Krsna Tirthaji earlier this century and is based on a small collection of sutras. Each sutra briefly encapsulates a rule of mental working, a principle or guiding maxim. Through simple practice of these methods all may become adept and efficient at mathematics. Book I of the series is intended for primary schools in which many of the fundamental concepts of mathematics are introduced. It has been written from the classroom experience of teaching Vedic mathematics to eight and nine years-old. At this age a few of the Vedic methods are used, the rest being introduced at a later stage.
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120813182
Category : Juvenile Nonfiction
Languages : en
Pages : 154
Book Description
Vedic Mathematics for School offers a fresh and easy approach to learning mathematics. The system was reconstructed from ancient Vedic sources by the late Bharati Krsna Tirthaji earlier this century and is based on a small collection of sutras. Each sutra briefly encapsulates a rule of mental working, a principle or guiding maxim. Through simple practice of these methods all may become adept and efficient at mathematics. Book I of the series is intended for primary schools in which many of the fundamental concepts of mathematics are introduced. It has been written from the classroom experience of teaching Vedic mathematics to eight and nine years-old. At this age a few of the Vedic methods are used, the rest being introduced at a later stage.
Algebra
Author: Matthew Miller
Publisher:
ISBN: 9781930820678
Category :
Languages : en
Pages : 0
Book Description
Topics include: Matrices; Probability Concepts; Factorials; Sequences and Summation Notation Statistical Concepts.
Publisher:
ISBN: 9781930820678
Category :
Languages : en
Pages : 0
Book Description
Topics include: Matrices; Probability Concepts; Factorials; Sequences and Summation Notation Statistical Concepts.
The Master Book of Mathematical Recreations
Author: Fred Schuh
Publisher: Courier Dover Publications
ISBN: 0486808955
Category : Games & Activities
Languages : en
Pages : 452
Book Description
Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.
Publisher: Courier Dover Publications
ISBN: 0486808955
Category : Games & Activities
Languages : en
Pages : 452
Book Description
Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.
Junior High School Mathematics Book 1-3 [and] 1 Book Course
Author: Theodore Lindquist
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 260
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 260
Book Description