Kooperativer Bibliotheksverbund

UID:

Format: 1 online resource (478 p.)

Edition: 2nd ed.

ISBN: 0-85709-960-4

Content: 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

Note: Includes index. , Front Cover; Mathematics: A Second Start, 2nd edition; Mathematics: A Second Start; Copyright Page; Table of Contents; Preface to Second Edition; Introduction to the First Edition; Chapter 0. Using a Scientific Calculator; INTRODUCTION; GETTING TO KNOW YOUR CALCULATOR; CALCULATING WITH YOUR CALCULATOR; Chapter 1. The Set of Real Numbers; NUMBERS AND SYMBOLS; SETS AND SUBSETS; THE NATURAL NUMBERS; THE BASIC LAWS OF NATURAL NUMBERS; IRRATIONAL NUMBERS; SUMMARY; Chapter 2. Number Skills; WORKING WITH DIRECTED NUMBERS; WORKING WITH FRACTIONS; Chapter 3. Algebra: a Basic Toolkit , WHY LEARN ALGEBRA?THE FOUR RULES; SIMPLE SUBSTITUTION; ADDITION AND SUBTRACTION OF ALGEBRAIC TERMS; MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES; Chapter 4. Algebra: More Tools; THE THREE RULES OF INDICES; SURDS; Chapter 5. Products; THE BINOMIAL SERIES; Chapter 6. Factors; SPECIAL CASES; Chapter 7. Equations and Inequalities; MAINTAINING THE BALANCE; SUMMARY; INTERVALS AND INEQUALITIES; PROPERTIES OF INEQUALITIES; SOLUTION OF INEQUALITIES; MODULUS OR ABSOLUTE VALUE; Chapter 8. Manipulation of Formulae; INTRODUCTION; SUBSTITUTION; TRANSPOSITION; A SYSTEMATIC METHOD FOR TRANSPOSING , ELIMINATIONChapter 9. Quadratic Equations; ZERO PRODUCTS; SOLUTION OF QUADRATIC EQUATIONS; Chapter 10. Simultaneous Equations; INTRODUCTION; SOLUTION BY ELIMINATION; SOLUTION BY SUBSTITUTION; SOLUTION IF ONE OF THE EQUATIONS IS NOT LINEAR; PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS; Chapter 11. Indices and Logarithms; FURTHER INDICES; LOGARITHMS; Chapter 12. Functions and Graphs; FUNCTIONS; COMPOSITE FUNCTIONS; GRAPHS OF FUNCTIONS; Chapter 13. Linear Graphs and Their Use in Experimental Work; THE STRAIGHT LINE LAW; TO FIND LINEAR LAWS IN PRACTICAL CASES , Chapter 14. Calculus - the Mathematics of ChangeLIMITS - THE BACKGROUND TO CALCULUS; THREE IMPORTANT 'FRACTIONS'; THE BEGINNINGS OF RELATIVE GROWTH; Chapter 15. Applications of Differentiation; RATES OF CHANGE WITH RESPECT TO TIME; STATIONARY VALUES; HOW TO DIFFERENTIATE MORE DIFFICULT EXPRESSIONS; Chapter 16. Integration; INTEGRATION AS THE LIMIT OF A SUM; AREAS: DEFINITE INTEGRALS; SOLIDS OF REVOLUTION; Chapter 17. Introduction to Trigonometry; THE SINE, COSINE AND TANGENT OF AN ANGLE; USING A CALCULATOR; ANGLES OF ANY MAGNITUDE; EQUIVALENT ANGLES , TRIGONOMETRIC RATIOS FOR ANGLES OF ANY MAGNITUDETRIGONOMETRIC RATIOS WHEN OP LIES ON THE AXES; THE ASSOCIATED ACUTE ANGLE; USE OF CALCULATORS; GRAPHS OF THE TRIGONOMETRIC RATIOS; TO FIND ALL THE ANGLES WITH A GIVEN SIN, COS OR TAN; THE MINOR RATIOS; GRAPHS; USE OF CALCULATOR WITH THE MINOR RATIOS; THE THEOREM OF PYTHAGORAS; Chapter 18. Calculus of Trigonometry; RADIANS: A NEW WAY OF MEASURING ANGLES; THE ADDITION FORMULAE; SMALL ANGLES; DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS; Chapter 19. The Law of Natural Growth; COMPOUND INTEREST; DIFFERENTIATION AND INTEGRATION OF THE FUNCTION y = ex , DIFFERENTIATION OF y = ln x , English

Additional Edition: ISBN 1-898563-04-7

Language: English

UID:

Format: XII, 354 S. , graph. Darst. , 24 cm

ISBN: 3764351934

Uniform Title: Learning mathematics through DERIVE 〈dt.〉

Language: German

Subjects: Computer Science

Keywords: Analysis ; DERIVE ; Algebra ; DERIVE ; Computeralgebra ; Lehrbuch

URL: Inhaltstext

UID:

Format: 1 online resource (xii, 547 pages) : , digital, PDF file(s).

ISBN: 1-139-17159-3

Content: This textbook, covering the basic mathematics taught to first-year students of science and engineering, reflects the growing awareness that ancillary mathematics should not be taught in isolation from its applications. Topics covered include calculus, ordinary and partial differential equations and statistics. Each chapter starts with two or three examples setting the new techniques to be studied in the context of the scientific world; the mathematics is then presented, along with worked examples. Numerical methods are integrated with analytical techniques where appropriate. The resulting textbook provides the teacher with a rich and varied source of applications for classroom use and students with a textbook for self-learning, giving insight into the significance and role of mathematics in science and engineering.

Note: Title from publisher's bibliographic system (viewed on 01 Feb 2016). , English

Additional Edition: ISBN 0-521-28446-5

Additional Edition: ISBN 0-521-24119-7

Language: English

URL: https://doi.org/10.1017/CBO9781139171595

UID:

Format: 1 Online-Ressource (XII, 356 S.)

ISBN: 9783034850445 , 9783764351939

Note: Mathematik lernen mit DERIVE entwickelt die mathematischen Grundlagen, die in den Natur- und Ingenieurwissenschaften benötigt werden, und ist gleichzeitig eine praktische Einführung in das Computer Algebra Programm DERIVE. Die Autoren legen auf zwei Aspekte von DERIVE besonderen Wert: Zum einen können Lernende DERIVE zu eigenen Untersuchungen nutzen, um grundlegende mathematische Ideen zu verstehen. Andererseits dient DERIVE als Werkzeug, um naturwissenschaftliche und technische Probleme zu lösen. Besonders nützlich für Lehrende und Lernende ist hierbei die Fülle von Aufgaben, die mitsamt ihren Lösungen in diesem Buch zu finden sind. Dieses Buch ist in erster Linie für diejenigen gedacht, die sich den Stoff der Sekundarstufe II erst aneignen müssen, um zur Hochschulreife zu gelangen. Es bietet aber auch jenen, die mit den angebotenen Inhalten aus der Analysis und der linearen Algebra schon vertraut sind, eine vorzügliche Gelegenheit, diese Themen, verbunden mit einem Einstieg in die Anwendung von DERIVE, zu wiederholen und zu vertiefen. Mathematik lernen mit DERIVE zeigt eine neue erfrischende Art, Mathematik zu lernen und zu lehren. Die Autoren haben als Mathematiklehrer an der Universität von Plymouth die Überzeugung gewonnen, dass der Einsatz von DERIVE einen wesentlichen Beitrag zur Verbesserung des Verständnisses und damit des Studienerfolges geleistet hat und immer noch leistet. Die vorliegende Übersetzung bezieht sich auf die deutschsprachige Version von DERIVE und berücksichtigt die aktuelle DERIVE Version 3

Language: German

Keywords: Analysis ; DERIVE ; Algebra ; DERIVE ; Mathematik ; Aufgabensammlung

DOI: 10.1007/978-3-0348-5044-5

URL: Volltext

UID:

Format: 1 online resource (478 p.)

Edition: 2nd ed.

ISBN: 0-85709-960-4

Content: 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

Note: Includes index. , Front Cover; Mathematics: A Second Start, 2nd edition; Mathematics: A Second Start; Copyright Page; Table of Contents; Preface to Second Edition; Introduction to the First Edition; Chapter 0. Using a Scientific Calculator; INTRODUCTION; GETTING TO KNOW YOUR CALCULATOR; CALCULATING WITH YOUR CALCULATOR; Chapter 1. The Set of Real Numbers; NUMBERS AND SYMBOLS; SETS AND SUBSETS; THE NATURAL NUMBERS; THE BASIC LAWS OF NATURAL NUMBERS; IRRATIONAL NUMBERS; SUMMARY; Chapter 2. Number Skills; WORKING WITH DIRECTED NUMBERS; WORKING WITH FRACTIONS; Chapter 3. Algebra: a Basic Toolkit , WHY LEARN ALGEBRA?THE FOUR RULES; SIMPLE SUBSTITUTION; ADDITION AND SUBTRACTION OF ALGEBRAIC TERMS; MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES; Chapter 4. Algebra: More Tools; THE THREE RULES OF INDICES; SURDS; Chapter 5. Products; THE BINOMIAL SERIES; Chapter 6. Factors; SPECIAL CASES; Chapter 7. Equations and Inequalities; MAINTAINING THE BALANCE; SUMMARY; INTERVALS AND INEQUALITIES; PROPERTIES OF INEQUALITIES; SOLUTION OF INEQUALITIES; MODULUS OR ABSOLUTE VALUE; Chapter 8. Manipulation of Formulae; INTRODUCTION; SUBSTITUTION; TRANSPOSITION; A SYSTEMATIC METHOD FOR TRANSPOSING , ELIMINATIONChapter 9. Quadratic Equations; ZERO PRODUCTS; SOLUTION OF QUADRATIC EQUATIONS; Chapter 10. Simultaneous Equations; INTRODUCTION; SOLUTION BY ELIMINATION; SOLUTION BY SUBSTITUTION; SOLUTION IF ONE OF THE EQUATIONS IS NOT LINEAR; PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS; Chapter 11. Indices and Logarithms; FURTHER INDICES; LOGARITHMS; Chapter 12. Functions and Graphs; FUNCTIONS; COMPOSITE FUNCTIONS; GRAPHS OF FUNCTIONS; Chapter 13. Linear Graphs and Their Use in Experimental Work; THE STRAIGHT LINE LAW; TO FIND LINEAR LAWS IN PRACTICAL CASES , Chapter 14. Calculus - the Mathematics of ChangeLIMITS - THE BACKGROUND TO CALCULUS; THREE IMPORTANT 'FRACTIONS'; THE BEGINNINGS OF RELATIVE GROWTH; Chapter 15. Applications of Differentiation; RATES OF CHANGE WITH RESPECT TO TIME; STATIONARY VALUES; HOW TO DIFFERENTIATE MORE DIFFICULT EXPRESSIONS; Chapter 16. Integration; INTEGRATION AS THE LIMIT OF A SUM; AREAS: DEFINITE INTEGRALS; SOLIDS OF REVOLUTION; Chapter 17. Introduction to Trigonometry; THE SINE, COSINE AND TANGENT OF AN ANGLE; USING A CALCULATOR; ANGLES OF ANY MAGNITUDE; EQUIVALENT ANGLES , TRIGONOMETRIC RATIOS FOR ANGLES OF ANY MAGNITUDETRIGONOMETRIC RATIOS WHEN OP LIES ON THE AXES; THE ASSOCIATED ACUTE ANGLE; USE OF CALCULATORS; GRAPHS OF THE TRIGONOMETRIC RATIOS; TO FIND ALL THE ANGLES WITH A GIVEN SIN, COS OR TAN; THE MINOR RATIOS; GRAPHS; USE OF CALCULATOR WITH THE MINOR RATIOS; THE THEOREM OF PYTHAGORAS; Chapter 18. Calculus of Trigonometry; RADIANS: A NEW WAY OF MEASURING ANGLES; THE ADDITION FORMULAE; SMALL ANGLES; DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS; Chapter 19. The Law of Natural Growth; COMPOUND INTEREST; DIFFERENTIATION AND INTEGRATION OF THE FUNCTION y = ex , DIFFERENTIATION OF y = ln x , English

Additional Edition: ISBN 1-898563-04-7

Language: English

UID:

Format: 1 online resource (478 p.)

Edition: 2nd ed.

ISBN: 0-85709-960-4

Content: 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

Note: Includes index. , Front Cover; Mathematics: A Second Start, 2nd edition; Mathematics: A Second Start; Copyright Page; Table of Contents; Preface to Second Edition; Introduction to the First Edition; Chapter 0. Using a Scientific Calculator; INTRODUCTION; GETTING TO KNOW YOUR CALCULATOR; CALCULATING WITH YOUR CALCULATOR; Chapter 1. The Set of Real Numbers; NUMBERS AND SYMBOLS; SETS AND SUBSETS; THE NATURAL NUMBERS; THE BASIC LAWS OF NATURAL NUMBERS; IRRATIONAL NUMBERS; SUMMARY; Chapter 2. Number Skills; WORKING WITH DIRECTED NUMBERS; WORKING WITH FRACTIONS; Chapter 3. Algebra: a Basic Toolkit , WHY LEARN ALGEBRA?THE FOUR RULES; SIMPLE SUBSTITUTION; ADDITION AND SUBTRACTION OF ALGEBRAIC TERMS; MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES; Chapter 4. Algebra: More Tools; THE THREE RULES OF INDICES; SURDS; Chapter 5. Products; THE BINOMIAL SERIES; Chapter 6. Factors; SPECIAL CASES; Chapter 7. Equations and Inequalities; MAINTAINING THE BALANCE; SUMMARY; INTERVALS AND INEQUALITIES; PROPERTIES OF INEQUALITIES; SOLUTION OF INEQUALITIES; MODULUS OR ABSOLUTE VALUE; Chapter 8. Manipulation of Formulae; INTRODUCTION; SUBSTITUTION; TRANSPOSITION; A SYSTEMATIC METHOD FOR TRANSPOSING , ELIMINATIONChapter 9. Quadratic Equations; ZERO PRODUCTS; SOLUTION OF QUADRATIC EQUATIONS; Chapter 10. Simultaneous Equations; INTRODUCTION; SOLUTION BY ELIMINATION; SOLUTION BY SUBSTITUTION; SOLUTION IF ONE OF THE EQUATIONS IS NOT LINEAR; PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS; Chapter 11. Indices and Logarithms; FURTHER INDICES; LOGARITHMS; Chapter 12. Functions and Graphs; FUNCTIONS; COMPOSITE FUNCTIONS; GRAPHS OF FUNCTIONS; Chapter 13. Linear Graphs and Their Use in Experimental Work; THE STRAIGHT LINE LAW; TO FIND LINEAR LAWS IN PRACTICAL CASES , Chapter 14. Calculus - the Mathematics of ChangeLIMITS - THE BACKGROUND TO CALCULUS; THREE IMPORTANT 'FRACTIONS'; THE BEGINNINGS OF RELATIVE GROWTH; Chapter 15. Applications of Differentiation; RATES OF CHANGE WITH RESPECT TO TIME; STATIONARY VALUES; HOW TO DIFFERENTIATE MORE DIFFICULT EXPRESSIONS; Chapter 16. Integration; INTEGRATION AS THE LIMIT OF A SUM; AREAS: DEFINITE INTEGRALS; SOLIDS OF REVOLUTION; Chapter 17. Introduction to Trigonometry; THE SINE, COSINE AND TANGENT OF AN ANGLE; USING A CALCULATOR; ANGLES OF ANY MAGNITUDE; EQUIVALENT ANGLES , TRIGONOMETRIC RATIOS FOR ANGLES OF ANY MAGNITUDETRIGONOMETRIC RATIOS WHEN OP LIES ON THE AXES; THE ASSOCIATED ACUTE ANGLE; USE OF CALCULATORS; GRAPHS OF THE TRIGONOMETRIC RATIOS; TO FIND ALL THE ANGLES WITH A GIVEN SIN, COS OR TAN; THE MINOR RATIOS; GRAPHS; USE OF CALCULATOR WITH THE MINOR RATIOS; THE THEOREM OF PYTHAGORAS; Chapter 18. Calculus of Trigonometry; RADIANS: A NEW WAY OF MEASURING ANGLES; THE ADDITION FORMULAE; SMALL ANGLES; DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS; Chapter 19. The Law of Natural Growth; COMPOUND INTEREST; DIFFERENTIATION AND INTEGRATION OF THE FUNCTION y = ex , DIFFERENTIATION OF y = ln x , English

Additional Edition: ISBN 1-898563-04-7

Language: English