Mathematics

A Second Start

Author: S. Page,J Berry,H Hampson

Publisher: Elsevier

ISBN: 0857099604

Category: Mathematics

Page: 480

View: 6249

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: 4421

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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Probability and Random Variables

Author: G P Beaumont

Publisher: Elsevier

ISBN: 0857099477

Category: Mathematics

Page: 344

View: 6553

This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory. The accent is on its essential role in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers. Mathematically-friendly for first and second year undergraduate students, the book is also a reference source for workers in a wide range of disciplines who are aware that even the simpler aspects of probability theory are not simple. Provides a sound and stimulating introduction to probability theory Places emphasis on the role of probability theory in statistical theory and practice, built on the use of illustrative examples and the solution of problems from typical examination papers
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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: 5645

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: 633

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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Applying Maths in the Chemical and Biomolecular Sciences

An Example-based Approach

Author: Godfrey Beddard

Publisher: Oxford University Press

ISBN: 0199230919

Category: Mathematics

Page: 786

View: 8099

Applying Maths in the Chemical and Biomolecular Sciences uses an extensive array of examples to demonstrate how mathematics is applied to probe and understand chemical and biological systems. It also embeds the use of software, showing how the application of maths and use of software now go hand-in-hand.
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(K)ein Gespür für Zahlen

So bekommt man den Durchblick in Mathe

Author: Barbara Oakley

Publisher: MVG Verlag

ISBN: 3864157811

Category: Mathematics

Page: 352

View: 305

Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den kreativen Geist. Denn noch mehr als um Formeln geht es um die Freiheit, einen der vielen möglichen Lösungsansätze zu finden. Der Weg ist das Ziel. Und wie man zum richtigen Ergebnis kommt, ist eine Kunst, die man entwickeln, entdecken und in sich wecken kann. Die Autorin vermittelt eine Vielfalt an Techniken und Werkzeugen, die das Verständnis von Mathematik und Naturwissenschaft grundlegend verbessern. (K)ein Gespür für Zahlen nimmt Ihnen — vor allem wenn Sie sich in Schule, Uni oder Beruf mathematisch oder naturwissenschaftlich beweisen müssen — nicht nur die Grundangst, sondern stärkt Ihren Mut, Ihren mathematischen Fähigkeiten zu vertrauen. So macht Mathe Spaß!
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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: 1259

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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: 7714

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: 1355

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: 8654

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: 7402

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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A Mathematical Gift

The Interplay Between Topology, Functions, Geometry, and Algebra

Author: Kenji Ueno,Kōji Shiga,Shigeyuki Morita

Publisher: American Mathematical Soc.

ISBN: 9780821832837

Category: Mathematics

Page: 128

View: 3143

This is the second of three volumes originated from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students (the translation of the first volume was published by the AMS in 2003). The main purpose of the lectures was to show the listeners the beauty and liveliness of mathematics using the material that is accessible to people with little preliminary knowledge. The first chapter of this book talks about the theory of trigonometric and elliptic functions. It includes such aspects of this theory as power series expansions, addition and multiple-angle formulas, and arithmetic-geometric mean. The second chapter discusses various aspects of the Poncelet Closure Theorem. This discussion illustrates to the reader the idea of algebraic geometry as a method of studying geometric properties of figures using algebra as a tool.
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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: 5932

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: 5901

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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