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The How and Why of One Variable Calculus, by Amol Sasane, 2015 NEW Hardcover
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Ended: May 17, 2024 11:15:48 SGT
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Located in: East Meadow, New York, United States
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Estimated between Fri, 21 Jun and Mon, 24 Jun to 43230
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eBay item number:364879874326
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- How and Why of One Variable Calculus
- ISBN
- 9781119043386
- Subject Area
- Mathematics
- Publication Name
- How and Why of One Variable Calculus
- Item Length
- 9.8 in
- Publisher
- Wiley & Sons, Incorporated, John
- Subject
- Calculus
- Publication Year
- 2015
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.2 in
- Item Width
- 7 in
- Item Weight
- 32.9 Oz
- Number of Pages
- 528 Pages
About this product
Product Information
First course calculus texts have traditionally been either "engineering/science-oriented" with too little rigor, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
1119043387
ISBN-13
9781119043386
eBay Product ID (ePID)
208700566
Product Key Features
Publication Name
How and Why of One Variable Calculus
Format
Hardcover
Language
English
Subject
Calculus
Publication Year
2015
Type
Textbook
Subject Area
Mathematics
Number of Pages
528 Pages
Dimensions
Item Length
9.8 in
Item Height
1.2 in
Item Width
7 in
Item Weight
32.9 Oz
Additional Product Features
LCCN
2015-008316
Intended Audience
Scholarly & Professional
Lc Classification Number
Qa303.2.S36 2015
Table of Content
Preface ix Introduction xi Preliminary notation xv 1 The real numbers 1 1.1 Intuitive picture of R as points on the number line 2 1.2 The field axioms 6 1.3 Order axioms 8 1.4 The Least Upper Bound Property of R 9 1.5 Rational powers of real numbers 20 1.6 Intervals 21 1.7 Absolute value · and distance in R 23 1.8 (∗) Remark on the construction of R 26 1.9 Functions 28 1.10 (∗) Cardinality 40 Notes 43 2 Sequences 44 2.1 Limit of a convergent sequence 46 2.2 Bounded and monotone sequences 54 2.3 Algebra of limits 59 2.4 Sandwich theorem 64 2.5 Subsequences 68 2.6 Cauchy sequences and completeness of R 74 2.7 (∗) Pointwise versus uniform convergence 78 Notes 85 3 Continuity 86 3.1 Definition of continuity 86 3.2 Continuous functions preserve convergence 91 3.3 Intermediate Value Theorem 99 3.4 Extreme Value Theorem 106 3.5 Uniform convergence and continuity 111 3.6 Uniform continuity 111 3.7 Limits 115 Notes 124 4 Differentiation 125 4.1 Differentiable Inverse Theorem 136 4.2 The Chain Rule 140 4.3 Higher order derivatives and derivatives at boundary points 144 4.4 Equations of tangent and normal lines to a curve 148 4.5 Local minimisers and derivatives 157 4.6 Mean Value, Rolle's, Cauchy's Theorem 159 4.7 Taylor's Formula 167 4.8 Convexity 172 4.9 0/0 form of l'Hôpital's Rule 180 Notes 182 5 Integration 183 5.1 Towards a definition of the integral 183 5.2 Properties of the Riemann integral 198 5.3 Fundamental Theorem of Calculus 210 5.4 Riemann sums 226 5.5 Improper integrals 232 5.6 Elementary transcendental functions 245 5.7 Applications of Riemann Integration 278 Notes 296 6 Series 297 6.1 Series 297 6.2 Absolute convergence 305 6.3 Power series 320 Appendix 335 Notes 337 Solutions 338 Solutions to the exercises from Chapter 1 338 Solutions to the exercises from Chapter 2 353 Solutions to the exercises from Chapter 3 369 Solutions to the exercises from Chapter 4 388 Solutions to the exercises from Chapter 5 422 Solutions to the exercises from Chapter 6 475 Bibliography 493 Index 495
Copyright Date
2015
Dewey Decimal
515
Dewey Edition
23
Illustrated
Yes
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:364879874326
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