UID:
almafu_9960119345902883
Umfang:
1 online resource (xii, 547 pages) :
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digital, PDF file(s).
Ausgabe:
1st ed.
ISBN:
1-139-17159-3
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 01 Feb 2016).
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Cover -- Title -- Copyright -- Contents -- Preface -- Basic functions -- 1.1 Scientific context -- 1.2 Mathematical developments -- 1.3 Worked examples -- 1.4 Further developments -- 1.5 Further worked examples -- 1.6 Exercises -- Functions for science 1: the exponential function -- 2.1 Scientific context -- 2.2 Mathematical developments -- 2.3 Worked examples -- 2.5 Further worked examples -- 2.6 Exercises -- Functions for science 2: trigonometric functions -- 3.1 Scientific context -- 3.2 Mathematical developments -- 3.3 Worked examples -- 3.4 Further developments -- 3.5 Further worked examples -- 3.6 Exercises -- Functions for science 3: inverse functions -- 4.1 Scientific context -- 4.2 Mathematical developments -- 4.3 Worked examples -- 4.4 Further developments -- 4.5 Further worked examples -- 4.6 Exercises -- Other functions of science -- 5.1 Scientific context -- 5.2 Mathematical developments -- 5.3 Worked examples -- 5.4 Further developments -- 5.5 Further worked examples -- 5.6 Exercises -- Differentiation 1: rates of change -- 6.1 Scientific context -- 6.2 Mathematical developments -- 6.3 Worked examples -- 6.4 Further developments -- 6.5 Further worked examples -- 6.6 Exercises -- Differentiation 2: stationary points -- 7.1 Scientific context -- 7.2 Mathematical developments -- 7.3 Worked examples -- 7.4 Further developments -- 7.5 Further worked examples -- 7.6 Exercises -- Differentiation 3: approximation of functions -- 8.1 Scientific context -- 8.2 Mathematical developments -- 8.3 Worked examples -- 8.4 Further developments -- 8.5 Further worked examples -- 8.6 Exercises -- Integration 1: introduction and standard forms -- 9.1 Scientific context -- 9.2 Mathematical developments -- 9.3 Worked examples -- 9.4 Further developments -- 9.5 Further worked examples -- 9.6 Exercises -- Integration 2: techniques of integration.
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10.1 Scientific context -- 10.2 Mathematical developments -- 10.3 Worked examples -- 10.4 Further developments -- 10.5 Further worked examples -- 10.6 Exercises -- Integration 3: further techniques -- 11.1 Scientific context -- 11.2 Mathematical developments -- 11.3 Worked examples -- 11.4 Further developments -- 11.5 Further worked examples -- 11.6 Exercises -- First-order ordinary differential equations -- 12.1 Scientific context -- 12.2 Mathematical developments -- 12.3 Worked examples -- 12.4 Further developments -- 12.5 Further worked examples -- 12.6 Exercises -- Second-order ordinary differential equations -- 13.1 Scientific context -- 13.2 Mathematical developments -- 13.3 Worked examples -- 13.4 Further developments -- 13.5 Further worked examples -- 13.6 Exercises -- Statistics 1: frequency distributions and associated measures -- 14.1 Scientific context -- 14.2 Mathematical developments -- 14.3 Worked examples -- 14.4 Further developments -- 14.5 Further worked examples -- 14.6 Exercises -- Statistics 2: probability and probability distributions -- 15.1 Scientific context -- 15.2 Mathematical developments -- 15.3 Worked examples -- 15.4 Further developments -- 15.5 Further worked examples -- 15.6 Exercises -- Statistics 3: sampling, sampling distributions and hypothesis testing -- 16.1 Scientific context -- 16.2 Mathematical developments -- 16.3 Worked examples -- 16.4 Further developments -- 16.5 Further worked examples -- 16.6 Exercises -- Partial differentiation 1: introduction -- 17.1 Scientific context -- 17.2 Mathematical developments -- 17.3 Worked examples -- 17.4 Further developments -- 17.5 Further worked examples -- 17.6 Exercises -- Partial differentiation 2: stationary points -- 18.1 Scientific context -- 18.2 Mathematical developments -- 18.3 Worked examples -- 18.4 Further developments -- 18.5 Further worked examples.
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18.6 Exercises -- Answers to the exercises -- Index.
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English
Weitere Ausg.:
ISBN 0-521-28446-5
Weitere Ausg.:
ISBN 0-521-24119-7
Sprache:
Englisch
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