Engineering mathematics by example. Vol. I, Algebra and linear algebra / Robert Sobot.
This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism i...
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| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Other title: | Algebra and linear algebra |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing AG,
2023.
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| Edition: | Second edition. |
| Subjects: |
MARC
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| 100 | 1 | |a Sobot, Robert. | |
| 245 | 1 | 0 | |a Engineering mathematics by example. |n Vol. I, |p Algebra and linear algebra / |c Robert Sobot. |
| 246 | 3 | 0 | |a Algebra and linear algebra |
| 250 | |a Second edition. | ||
| 260 | |a Cham : |b Springer International Publishing AG, |c 2023. | ||
| 300 | |a 1 online resource (xvi, 303 pages) : |b illustrations (chiefly color). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | |a Description based upon print version of record. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a Intro -- Preface -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgments -- Contents -- Acronyms -- 1 Numbers -- Problems -- 1.1 Basic Number Operations -- 1.2 Fractional Powers and Radicals -- 1.3 Undefined Forms -- 1.4 Absolute Numbers and Expressions -- Answers -- 1.1 Basic Number Operations -- 1.2 Fractional Powers and Radicals -- 1.3 Undefined Forms -- 1.4 Absolute Numbers and Expressions -- 2 Polynomials -- Problems -- 2.1 Polynomial Expansion -- 2.2 Binomial Theorem (Pascal's Triangle) -- 2.3 Long Division -- 2.4 Factorization -- 2.5 Difference of Squares | |
| 505 | 8 | |a 2.6 Quadratic Polynomial-Viète Formulas -- 2.7 Completing the Square -- 2.8 Factor Theorem -- 2.9 Partial Fraction Decomposition -- Answers -- 2.1 Polynomials -- 2.2 Binomial Theorem (Pascal's Triangle) -- 2.3 Long Division -- 2.4 Factorization -- 2.5 Difference of Squares -- 2.6 Quadratic Polynomial-Viète Formulas -- 2.7 Completing the Square -- 2.8 Factor Theorem -- 2.9 Partial Fraction Decomposition -- 3 Linear Equations and Inequalities -- Problems -- 3.1 Linear Equations -- 3.2 System of Linear Equations -- 3.3 Linear Inequalities -- 3.4 System of Linear Inequalities -- Answers | |
| 505 | 8 | |a 3.1 Linear Equations -- 3.2 System of Linear Equations -- 3.3 Linear Inequalities -- 3.4 System of Linear Inequalities -- 4 Logarithmic and Exponential Functions -- Problems -- 4.1 Logarithmic and Exponential Functions -- 4.2 Simple Logarithmic Calculations -- 4.3 Exponential Equations -- 4.4 Logarithmic Equations -- 4.5 Exponential-Logarithmic Equations -- 4.6 Exponential Inequalities -- 4.7 Logarithmic Inequalities -- Answers -- 4.1 Logarithmic and Exponential Functions -- 4.2 Simple Logarithmic Calculations -- 4.3 Exponential Equations -- 4.4 Logarithmic Equations | |
| 505 | 8 | |a 4.5 Exponential-Logarithmic Equations -- 4.6 Exponential Inequalities -- 4.7 Logarithmic Inequalities -- 5 Trigonometry -- Problems -- 5.1 Trigonometric Definitions -- 5.2 Basic Calculations -- 5.3 Basic Identities -- 5.4 Equations -- 5.5 Inequalities -- Answers -- 5.1 Trigonometric Definitions -- 5.2 Basic Calculations -- 5.3 Basic Identities -- 5.4 Equations -- 5.5 Inequalities -- 6 Complex Algebra -- Problems -- 6.1 Basic Complex Number Forms -- 6.2 Polar Forms -- 6.3 Complex Plane -- 6.4 Euler Identity -- 6.5 Rational Powers -- 6.6 Complex Equations -- Answers | |
| 505 | 8 | |a 6.1 Basic Complex Number Forms -- 6.2 Polar Forms -- 6.3 Complex Plane -- 6.4 Euler Identity -- 6.5 Rational Powers -- 6.6 Complex Equations -- 7 Bode Plot -- Problems -- 7.1 Basic Complex Functions -- 7.2 Bode Plot Examples -- Answers -- 7.1 Basic Complex Functions -- 7.2 Bode Plot Examples -- 8 Linear Algebra -- Problems -- 8.1 Vector Definitions -- 8.2 Vector Operations -- 8.3 Linear Transformations -- 8.4 Determinants -- 8.5 Cramer's Rule -- 8.6 Vector Space -- 8.7 Eigenvalues and Eigenvectors -- 8.8 Matrix Inversion -- 8.9 Powers of Diagonalizable Matrices -- Answers -- 8.1 Vector Definitions | |
| 520 | |a This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques are split into three separate books: the topics of algebra, complex algebra, and linear algebra (Vol. I), calculus of single and multiple argument functions (Vol. II), and continues and discrete Convolution and Fourier integrals/sums of typical functions used in signal processing, in addition to Laplace transform examples (Vol. III). Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists; Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems; followed by the additional in-line reminders embedded at the key points of most solutions; Includes tutorial-style, complete solutions, to all problems. | ||
| 650 | 0 | |a Engineering mathematics |v Problems, exercises, etc. | |
| 776 | 0 | 8 | |i Print version: |a Sobot, Robert |t Engineering Mathematics by Example |d Cham : Springer International Publishing AG,c2023 |z 9783031411991 |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-41200-4 |z Full Text (via Springer) |
| 915 | |a M | ||
| 956 | |a Springer e-books | ||
| 956 | |b Springer Nature - Springer Mathematics and Statistics eBooks 2023 English International | ||
| 998 | |b Added to collection springerlink.ebooksms2023 | ||
| 994 | |a 92 |b COD | ||
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| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e TA333 |h Library of Congress classification |i web |