عنوان

Calculus for the ambitious /

شابک

1107063922

شابک

1107686741

شابک

9781107063921

شابک

9781107686748

شماره

dltt

عنوان اصلي

Calculus for the ambitious /

نام عام مواد

[Book]

نام نخستين پديدآور

T.W. Körner

نام خاص و کميت اثر

xii, 165 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

متن يادداشت

Includes bibliographical references (page 163) and index

متن يادداشت

Machine generated contents note: 1. Preliminary ideas -- 1.1. Why is calculus hard? -- 1.2. A simple trick -- 1.3. The art of prophecy -- 1.4. Better prophecy -- 1.5.T angents -- 2. The integral -- 2.1. Area -- 2.2. Integration -- 2.3. The fundamental theorem -- 2.4. Growth -- 2.5. Maxima and minima -- 2.6. Snell's law -- 3. Functions, old and new -- 3.1. The logarithm -- 3.2. The exponential function -- 3.3. Trigonometric functions -- 4. Falling bodies -- 4.1. Galileo -- 4.2. Air resistance -- 4.3. A dose of reality -- 5. Compound interest and horse kicks -- 5.1. Compound interest -- 5.2. Digging tunnels -- 5.3. Horse kicks -- 5.4. Gremlins -- 6. Taylor's theorem -- 6.1. Do the higher derivatives exist? -- 6.2. Taylor's theorem -- 6.3. Calculation with Taylor's theorem -- 7. Approximations, good and bad -- 7.1. Find the root -- 7.2. The Newton--Raphson method -- 7.3. There are lots of numbers -- 8. Hills and dales -- 8.1. More than one variable -- 8.2. Taylor's theorem in two variables -- 8.3. On the persistence of passes -- 9. Differential equations via computers -- 9.1. Firing tables -- 9.2. Euler's method -- 9.3. A good idea badly implemented -- 10. Paradise lost -- 10.1. The snake enters the garden -- 10.2. Too beautiful to lose -- 11. Paradise regained -- 11.1. A short pep talk -- 11.2. The Euclidean method -- 11.3. Are there enough numbers? -- 11.4. Can we guarantee a maximum? -- 11.5. A glass wall problem -- 11.6. What next? -- 11.7. The second turtle -- Further reading

بدون عنوان

0

متن يادداشت

From the author of The Pleasures of Counting and Naïve Decision Making comes a calculus book perfect for self-study. It will open up the ideas of the calculus for any 16 to 18 year old about to begin studies in mathematics, and will be useful for anyone who would like to see a different account of the calculus from that given in the standard texts. In a lively and easy-to-read style, Professor Körner uses approximation and estimates in a way that will easily merge into the standard development of analysis. By using Taylor's theorem with error bounds he is able to discuss topics that are rarely covered at this introductory level. This book describes important and interesting ideas in a way that will enthuse a new generation of mathematicians

موضوع مستند نشده

Calculus

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Körner, T. W., (Thomas William),1946-

تاريخ عمليات

20160120231547.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y