A Mathematical Gift Iii

Author : Koji Shiga
Publisher : American Mathematical Society
ISBN 13 : 9780821832844
Total Pages : 148 pages
Book Rating : 4.40/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Gift, III written by Koji Shiga and published by American Mathematical Society. This book was released on 2005-07-18 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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"".

Author : Koji Shiga
Publisher : American Mathematical Society
ISBN 13 : 0821832840
Total Pages : 141 pages
Book Rating : 4.44/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Gift, III written by Koji Shiga and published by American Mathematical Society. This book was released on 2005-07-18 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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"".

Author : Morita Shigeyuki
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838594
Total Pages : 0 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Gift, Volume 1-3 written by Morita Shigeyuki and published by American Mathematical Soc.. This book was released on 2005-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Kenji Ueno
Publisher : American Mathematical Soc.
ISBN 13 : 0821832832
Total Pages : 141 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book A Mathematical Gift, II written by Kenji Ueno and published by American Mathematical Soc.. This book was released on 2003 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students.

Author : Aleksandr K. Zvonkin
Publisher : American Mathematical Soc.
ISBN 13 : 082186873X
Total Pages : 321 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book Math from Three to Seven written by Aleksandr K. Zvonkin and published by American Mathematical Soc.. This book was released on 2011 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author : Althea A. Foster
Publisher : Longman
ISBN 13 : 9781405862813
Total Pages : pages
Book Rating : 4.15/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematics for Caribbean Schools written by Althea A. Foster and published by Longman. This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Danny Calegari
Publisher : Oxford University Press on Demand
ISBN 13 : 0198570082
Total Pages : 378 pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book Foliations and the Geometry of 3-Manifolds written by Danny Calegari and published by Oxford University Press on Demand. This book was released on 2007-05-17 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Author : Peter L. Duren
Publisher : Springer Science & Business
ISBN 13 : 9780821801369
Total Pages : 692 pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!

Download or read book A Century of Mathematics in America written by Peter L. Duren and published by Springer Science & Business. This book was released on 1988 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the A Century of Mathematics in America collection, this book contains articles that describe the mathematics and the mathematical personalities in some of the nations' prominent departments: Johns Hopkins, Clark, Columbia, MIT, Michigan, Texas, and the Institute for Advanced Study.

Author : Bert Mendelson
Publisher : Courier Corporation
ISBN 13 : 0486135098
Total Pages : 226 pages
Book Rating : 4.90/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Topology written by Bert Mendelson and published by Courier Corporation. This book was released on 2012-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.

Author : 健爾·上野
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813584
Total Pages : 222 pages
Book Rating : 4.87/5 ( download)

DOWNLOAD NOW!

Download or read book Algebraic Geometry: Further study of schemes written by 健爾·上野 and published by American Mathematical Soc.. This book was released on 2003 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third part of the textbook on algebraic geometry by Kenji Ueno (the first two parts were published by the AMS as Volumes 185 and 197 of this series). Here the author presents the theory of schemes and sheaves beyond introductory notions, with the goal of studying properties of schemes and coherent sheaves necessary for full development of modern algebraic geometry. The main topics discussed in the book include dimension theory, flat and proper morphisms, regular schemes, smooth morphisms, completion and Zariski's main theorem. The author also presents the theory of algebraic curves and their Jacobians and the relation between algebraic and analytic geometry, including Kodaira's Vanishing Theorem. The book contains numerous exercises and problems with solutions, which makes it (together with two previous parts) appropriate for a graduate course on algebraic geometry or for self-study.