Mathematics

A Second Start

Author: S. Page,J Berry,H Hampson

Publisher: Elsevier

ISBN: 0857099604

Category: Mathematics

Page: 480

View: 7542

Provides less mathematically minded students with a gentle introduction to basic mathematics and some more advanced topics. Covering algebra, trigonometry, calculus and statistics, it manages to combine clarity of presentation with liveliness of style and sympathy for students’ needs. It is straightforward, pragmatic and packed full of illustrative examples, exercises and self-test questions. The essentials of formal mathematics are lucidly explained, with terms such as ‘integral’ or ‘differential equation’ fully clarified. Provides a gentle introduction to basic mathematics and some more advanced topics Systematically covers algebra, trigonometry, calculus and statistics Contains illustrative examples, exercises and self-test questions
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Calculus

Introductory Theory and Applications in Physical and Life Science

Author: R. M. Johnson

Publisher: Elsevier

ISBN: 0857099868

Category: Mathematics

Page: 336

View: 6980

This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at the end of each chapter test comprehension before moving to new material. Provides a clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions Includes short, useful diagnostic exercises at the end of each chapter
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A Second Step to Mathematical Olympiad Problems

Author: Derek Allan Holton

Publisher: World Scientific

ISBN: 9814327875

Category: Mathematics

Page: 299

View: 9780

The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also A First Step to Mathematical Olympiad Problems which was published in 2009. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A Second Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.
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A Concise Introduction to Pure Mathematics, Second Edition

Author: Martin Liebeck

Publisher: CRC Press

ISBN: 9781584885474

Category: Mathematics

Page: 224

View: 8419

A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems. The author discusses real and complex numbers and explains how these concepts are applied in solving natural problems. He introduces topics in analysis, geometry, number theory, and combinatorics. What's New in the Second Edition: Contains extra material concerning prime numbers, forming the basis for data encryption Explores "Secret Codes" - one of today's most spectacular applications of pure mathematics Discusses Permutations and their importance in many topics in discrete mathematics The textbook allows for the design of courses with various points of emphasis, because it can be divided into four fairly independent sections related to: an introduction to number systems and analysis; theory of the integers; an introduction to discrete mathematics; and functions, relations, and countability.
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Pure Mathematics

Including the Higher Parts of Algebra and Plane Trigonometry, Together with Elementary Spherical Trigonometry

Author: Edward Atkins

Publisher: N.A

ISBN: N.A

Category: Algebra

Page: N.A

View: 5615

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Modern Mathematics for the Engineer: Second Series

Author: Edwin F. Beckenbach

Publisher: Courier Corporation

ISBN: 0486316122

Category: Technology & Engineering

Page: 480

View: 5258

The second in this two-volume series also contains original papers commissioned from prominent 20th-century mathematicians. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. 1961 edition.
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Mathematics: A Concise History and Philosophy

A Concise History and Philosophy

Author: W.S. Anglin

Publisher: Springer Science & Business Media

ISBN: 9780387942803

Category: Mathematics

Page: 261

View: 9442

This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.
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A Functional Start to Computing with Python

Author: Ted Herman

Publisher: CRC Press

ISBN: 1466504552

Category: Computers

Page: 427

View: 4833

A Functional Start to Computing with Python enables students to quickly learn computing without having to use loops, variables, and object abstractions at the start. Requiring no prior programming experience, the book draws on Python’s flexible data types and operations as well as its capacity for defining new functions. Along with the specifics of Python, the text covers important concepts of computing, including software engineering motivation, algorithms behind syntax rules, advanced functional programming ideas, and, briefly, finite state machines. Taking a student-friendly, interactive approach to teach computing, the book addresses more difficult concepts and abstractions later in the text. The author presents ample explanations of data types, operators, and expressions. He also describes comprehensions—the powerful specifications of lists and dictionaries—before introducing loops and variables. This approach helps students better understand assignment syntax and iteration by giving them a mental model of sophisticated data first. Web Resource The book’s supplementary website at http://functionalfirstpython.com/ provides many ancillaries, including: Interactive flashcards on Python language elements Links to extra support for each chapter Unit testing and programming exercises An interactive Python stepper tool Chapter-by-chapter points Material for lectures
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STP National Curriculum Mathematics

Author: L. Bostock

Publisher: Nelson Thornes

ISBN: 9780748731923

Category: Mathematics

Page: 416

View: 6619

Series continuity from Year 9 uses the familiar style and layout of the 'year books'.Effective exam preparation. 11A focuses on revision, with past questions both by and across Attainment Targets.Proven formula for success. Rigorous theory, worked examples and lots of practice with integrated revision.Positive start for Year 10, starting with summary and revision of Key Stage 3.Complete student package. Answers also included.
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Math for All

Differentiating instruction, grades 3-5

Author: Linda Schulman Dacey,Jayne Bamford Lynch

Publisher: Math Solutions

ISBN: 0941355780

Category: Education

Page: 265

View: 374

In this research-based book, teachers will find powerful strategies for adapting mathematical lessons, and tasks to address the wide range of abilities, interests, and learning styles of the students in their classrooms. The book contains a wealth of activities tailored to its 3–5 grade span. The authors provide numerous differentiated tasks ready for classroom implementation, as well as guidance in managing differentiated lessons, and strategies for providing and structuring choice within the classroom. This is a must-read for teachers, administrators, math coaches, special education staff, and any other educator who wishes to ensure that all children are successful learners of mathematics.
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Transformation - A Fundamental Idea of Mathematics Education

Author: Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop

Publisher: Springer Science & Business Media

ISBN: 1461434890

Category: Education

Page: 409

View: 5700

The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
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Mathematics Education as a Research Domain: A Search for Identity

An ICMI Study

Author: Anna Sierpinska,Jeremy Kilpatrick

Publisher: Springer

ISBN: 9401151946

Category: Education

Page: 240

View: 2119

No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.
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Journey through Mathematics

Creative Episodes in Its History

Author: Enrique A. González-Velasco

Publisher: Springer Science & Business Media

ISBN: 0387921540

Category: Mathematics

Page: 466

View: 2209

This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.
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How to Study as a Mathematics Major

Author: Lara Alcock

Publisher: OUP Oxford

ISBN: 0191637351

Category: Mathematics

Page: 288

View: 8050

Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious — research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life. As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.
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A-level Mathematics Challenging Drill Questions (Yellowreef)

Author: Thomas Bond,Chris Hughes

Publisher: Yellowreef Limited

ISBN: 0797802002

Category: Education

Page: 302

View: 6379

• according to syllabus for exam up to year 2016 • new questions from top schools & colleges since 2008 – 2013 • exposes “surprise & trick” questions • complete answer keys • most efficient method of learning, hence saves time • arrange from easy-to-hard both by topics and question-types to facilitate easy absorption • full set of step-by-step solution approaches (available separately) • advanced trade book • complete and concise eBook editions available • also suitable for • Cambridge GCE AL (H1/H2) • Cambridge International A & AS Level • Books available for other subjects including Physics, Chemistry, Biology, Mathematics, Economics, English • Primary level, Secondary level, GCE O-level, GCE A-level, iGCSE, Cambridge A-level, Hong Kong DSE • visit www.yellowreef.com for sample chapters and more
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