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Author : Gilbert
Publisher :
ISBN 13 : 9780471449713
Total Pages : pages
Book Rating : 4.4/5 (497 download)
Download or read book Math Beyond the Numbers for Uconn W/ Student Solutions Manual Set written by Gilbert and published by . This book was released on 2003-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George T. Gilbert
Publisher : John Wiley & Sons
ISBN 13 : 9780470561010
Total Pages : pages
Book Rating : 4.5/5 (61 download)
Download or read book Math Beyond the Numbers for University of Connecticut with Student Solutions Manual Custom Set written by George T. Gilbert and published by John Wiley & Sons. This book was released on 2009-06-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1475719205
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Arithmetic of Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author : Álvaro Lozano-Robledo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852426
Total Pages : 217 pages
Book Rating : 4.8/5 (218 download)
Download or read book Elliptic Curves, Modular Forms, and Their L-functions written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2011 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.
Author : Joseph S. Renzulli
Publisher : Routledge
ISBN 13 : 1000492745
Total Pages : 155 pages
Book Rating : 4.0/5 (4 download)
Download or read book Enrichment Clusters written by Joseph S. Renzulli and published by Routledge. This book was released on 2021-09-03 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enrichment clusters engage students and facilitators in student-driven, real-world learning experiences. Grouped by interest, students working like practicing professionals apply advanced content and methods to develop products and services for authentic audiences. Clusters are scheduled during the school day over an extended period of time and involve all students. This updated second edition of Enrichment Clusters provides the rationale for including this important enrichment program for all students, suggestions for creating buy-in, and a step-by-step guide for successful implementation of a self-sustaining enrichment cluster program within the context of specific schools. Included are staff development activities, suggestions for evaluation and program improvement, guidelines for developing high quality cluster experiences for teachers and students, suggested resources, and everything one needs to develop, implement, and sustain a top-quality enrichment cluster program.
Author : Openstax
Publisher :
ISBN 13 : 9788565775120
Total Pages : 914 pages
Book Rating : 4.7/5 (751 download)
Download or read book Introductory Statistics written by Openstax and published by . This book was released on 2022-03-23 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs. Senior Contributing Authors Barbara Illowsky, De Anza College Susan Dean, De Anza College Contributing Authors Daniel Birmajer, Nazareth College Bryan Blount, Kentucky Wesleyan College Sheri Boyd, Rollins College Matthew Einsohn, Prescott College James Helmreich, Marist College Lynette Kenyon, Collin County Community College Sheldon Lee, Viterbo University Jeff Taub, Maine Maritime Academy
Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1475742525
Total Pages : 292 pages
Book Rating : 4.4/5 (757 download)
Download or read book Rational Points on Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry.
Author : Nadine Bezuk
Publisher :
ISBN 13 : 9781648020001
Total Pages : 200 pages
Book Rating : 4.0/5 (2 download)
Download or read book Standards for Preparing Teachers of Mathematics (color Hc) written by Nadine Bezuk and published by . This book was released on 2020-01-16 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMTE, in the Standards for Preparing Teachers of Mathematics, puts forward a national vision of initial preparation for all Pre-K-12 teachers who teach mathematics. SPTM pertains not only to middle and high school mathematics teachers who may teach mathematics exclusively but also to elementary school teachers teaching all disciplines, special education teachers, teachers of emergent multilingual students, and all other teaching professionals and administrators who have responsibility for students' mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform accreditation processes for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning mathematics teacher who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.
Author : Richard F. Bass
Publisher :
ISBN 13 : 9781481869140
Total Pages : 402 pages
Book Rating : 4.8/5 (691 download)
Download or read book Real Analysis for Graduate Students written by Richard F. Bass and published by . This book was released on 2013-01-04 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a course on real analysis (measure and integration theory plus additional topics) designed for beginning graduate students. Its focus is on helping the student pass a preliminary or qualifying examination for the Ph.D. degree.
Author : Joseph S. Renzulli
Publisher : Routledge
ISBN 13 : 1000489736
Total Pages : 450 pages
Book Rating : 4.0/5 (4 download)
Download or read book The Schoolwide Enrichment Model written by Joseph S. Renzulli and published by Routledge. This book was released on 2021-10-10 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Schoolwide Enrichment Model: A How-to Guide for Talent Development (3rd ed.) presents a common sense approach for helping students achieve and engage in joyful learning. Based on years of research, the Schoolwide Enrichment Model (SEM) is founded on highly successful practices originally developed for programs for gifted students. The SEM promotes “a rising tide lifts all ships” approach to school improvement by applying general enrichment strategies to all students and opportunities for advanced level follow-up opportunities for superior learners and highly motivated students. This guidebook shows educators step by step how to develop their own SEM program based on their own local resources, student population, and faculty strengths and interests. Instead of offering students a one-size-fits-all curriculum, the model helps educators look at each student's strengths, interests, learning styles, and preferred modes of expression and capitalize on these assets. The book highlights the model's fundamentals and underlying research and provides information about organizational components, service delivery options, and resources for implementation. The book suggests methods for engaging and challenging identified gifted students and provides practical resources for teachers using the SEM with all students.
Author : James S Milne
Publisher :
ISBN 13 : 9789811221835
Total Pages : 316 pages
Book Rating : 4.2/5 (218 download)
Download or read book Elliptic Curves written by James S Milne and published by . This book was released on 2020 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses. An elliptic curve is a plane curve defined by a cubic polynomial. Although the problem of finding the rational points on an elliptic curve has fascinated mathematicians since ancient times, it was not until 1922 that Mordell proved that the points form a finitely generated group. There is still no proven algorithm for finding the rank of the group, but in one of the earliest important applications of computers to mathematics, Birch and Swinnerton-Dyer discovered a relation between the rank and the numbers of points on the curve computed modulo a prime. Chapter IV of the book proves Mordell's theorem and explains the conjecture of Birch and Swinnerton-Dyer. Every elliptic curve over the rational numbers has an L-series attached to it.Hasse conjectured that this L-series satisfies a functional equation, and in 1955 Taniyama suggested that Hasse's conjecture could be proved by showing that the L-series arises from a modular form. This was shown to be correct by Wiles (and others) in the 1990s, and, as a consequence, one obtains a proof of Fermat's Last Theorem. Chapter V of the book is devoted to explaining this work. The first three chapters develop the basic theory of elliptic curves. For this edition, the text has been completely revised and updated.
Author : Paul Peter Urone
Publisher :
ISBN 13 : 9781680921175
Total Pages : 738 pages
Book Rating : 4.9/5 (211 download)
Download or read book College Physics written by Paul Peter Urone and published by . This book was released on 2018-01-05 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of two for College Physics. This book covers chapters 18-34. Please note: The text and images in this textbook are grayscale and the format size has been reduced from 8.5" x 11" to 7.44" x 9.69." This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. College Physics includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems.
Author : Laney Sammons
Publisher : ASCD
ISBN 13 : 1416625607
Total Pages : 222 pages
Book Rating : 4.4/5 (166 download)
Download or read book Teaching Students to Communicate Mathematically written by Laney Sammons and published by ASCD. This book was released on 2018-04-04 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In Teaching Students to Communicate Mathematically, Laney Sammons provides practical assistance for K–8 classroom teachers. Drawing on her vast knowledge and experience as a classroom teacher, she covers the basics of effective mathematical communication and offers specific strategies for teaching students how to speak and write about math. Sammons also presents useful suggestions for helping students incorporate correct vocabulary and appropriate representations when presenting their mathematical ideas. This must-have resource will help you help your students improve their understanding of and their skill and confidence in mathematical communication.
Author : Alexander Holmes
Publisher :
ISBN 13 : 9781998109487
Total Pages : 0 pages
Book Rating : 4.1/5 (94 download)
Download or read book Introductory Business Statistics (paperback, B&w) written by Alexander Holmes and published by . This book was released on 2023-06-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Printed in b&w. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.
Author : Sigurd Angenent
Publisher :
ISBN 13 : 9781505204841
Total Pages : 134 pages
Book Rating : 4.2/5 (48 download)
Download or read book MATH 221 FIRST Semester Calculus written by Sigurd Angenent and published by . This book was released on 2014-11-26 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATH 221 FIRST Semester CalculusBy Sigurd Angenent
Author : Lawrence C. Washington
Publisher : CRC Press
ISBN 13 : 1420071475
Total Pages : 533 pages
Book Rating : 4.4/5 (2 download)
Download or read book Elliptic Curves written by Lawrence C. Washington and published by CRC Press. This book was released on 2008-04-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application
