the Academic NEST

H. K. Dass ... 1136 pages - Publisher: S. Chand&Co Ltd.; (December, 2007) ... Language: English - ISBN-10: 8121903459 - ISBN-13: 978-8121903455 ..

Deals with partial differentiation, multiple integrals, function of a complex variable, special functions, laplace transformation, complex numbers, and statistics.

Ian M. Smith, V. Griffiths ... 492 pages - Publisher: Chapman and Hall/CRC; 2nd edition (June, 2006) ... Language: English - ISBN-10: 1584884010 - ISBN-13: 978-1584884019 ...

Although pseudocodes, Mathematica®, and MATLAB® illustrate how algorithms work, designers of engineering systems write the vast majority of large computer programs in the Fortran language. Using Fortran 95 to solve a range of practical engineering problems, Numerical Methods for Engineers, Second Edition provides an introduction to numerical methods, incorporating theory with concrete computing exercises and programmed examples of the techniques presented. Covering a wide range of numerical applications that have immediate relevancy for engineers, the book describes forty-nine programs in Fortran 95. Many of the programs discussed use a sub-program library called nm_lib that holds twenty-three subroutines and functions. In addition, there is a precision module that controls the precision of calculations. Well-respected in their field, the authors discuss a variety of numerical topics related to engineering. Some of the chapter features include… The numerical solution of sets of linear algebraic equations - Roots of single nonlinear equations and sets of nonlinear equations - Numerical quadrature, or numerical evaluation of integrals - An introduction to the solution of partial differential equations using finite difference and finite element approaches. Describing concise programs that are constructed using sub-programs wherever possible, this book presents many different contexts of numerical analysis, forming an excellent introduction to more comprehensive subroutine libraries such as the numerical algorithm group (NAG)..

Sheldon M. Ross ... 680 pages - Publisher: Academic Press; 4th edition (February, 2009) ... Language: English - ISBN-10: 0123704839 - ISBN-13: 978-0123704832 ...

This updated text provides a superior introduction to applied probability and statistics for engineering or science majors. Ross emphasizes the manner in which probability yields insight into statistical problems; ultimately resulting in an intuitive understanding of the statistical procedures most often used by practicing engineers and scientists. Real data sets are incorporated in a wide variety of exercises and examples throughout the book, and this emphasis on data motivates the probability coverage. As with the previous editions, Ross' text has remendously clear exposition, plus real-data examples and exercises throughout the text. Numerous exercises, examples, and applications apply probability theory to everyday statistical problems and situations. New to the 4th Edition: - New Chapter on Simulation, Bootstrap Statistical Methods, and Permutation Tests - 20% New Updated problem sets and applications, that demonstrate updated applications to engineering as well as biological, physical and computer science - New Real data examples that use significant real data from actual studies across life science, engineering, computing and business - New End of Chapter review material that emphasizes key ideas as well as the risks associated with practical application of the material.

A. David Wunsch ... 360 pages - Publisher: CRC Press; (April, 2016) ... Language: English - ISBN-10: 1498755674 - ISBN-13: 978-1498755672 ...

This book is intended for someone learning functions of a complex variable and who enjoys using MATLAB. It will enhance the exprience of learning complex variable theory and will strengthen the knowledge of someone already trained in ths branch of advanced calculus. ABET, the accrediting board for engineering programs, makes it clear that engineering graduates must be skilled in the art of programming in a language such as MATLAB^®. Supplying students with a bridge between the functions of complex variable theory and MATLAB, this supplemental text enables instructors to easily add a MATLAB component to their complex variables courses. A MATLAB^® Companion to Complex Variables provides readers with a clear understanding of the utility of MATLAB in complex variable calculus. An ideal adjunct to standard texts on the functions of complex variables, the book allows professors to quickly find and assign MATLAB programming problems that will strengthen students’ knowledge of the language and concepts of complex variable theory. The book shows students how MATLAB can be a powerful learning aid in such staples of complex variable theory as conformal mapping, infinite series, contour integration, and Laplace and Fourier transforms. In addition to MATLAB programming problems, the text includes many examples in each chapter along with MATLAB code. Fractals, the most recent interesting topic involving complex variables, demands to be treated with a language such as MATLAB. This book concludes with a Coda, which is devoted entirely to this visually intriguing subject. MATLAB is not without constraints, limitations, irritations, and quirks, and there are subtleties involved in performing the calculus of complex variable theory with this language. Without knowledge of these subtleties, engineers or scientists attempting to use MATLAB for solutions of practical problems in complex variable theory suffer the risk of making major mistakes. This book serves as an early warning system about these pitfalls.

D. C. Montgomery, G. C. Runger ... 832 pages - Publisher: Wiley; 6th edition (November, 2013) ...
Language: English - ISBN-10: 1118539710 - ISBN-13: 978-1118539712 ...

Applied Statistics and Probability for Engineers, 6th Edition provides a practical approach oriented to engineering as well as chemical and physical sciences. Students learn how the material will be relevant in their careers through the integration throughout of unique problem sets that reflect realistic applications and situations. Applied Statistics, 6e is suitable for either a one- or two-term course in probability and statistics. The 6th edition of this text focuses on real engineering applications and real engineering solutions while including material on the bootstrap, increased emphasis on the use of P-value, coverage of equivalence testing, combining p-values, many new examples and entirely revised homework sections.

Deborah Hughes-Hallett, Patti Frazer Lock, Daniel E. Flath, Andrew M. Gleason ...
576 pages - Publisher: Wiley; 5th edition (November, 2013) ...
Language: English - ISBN-10: 1118174925 - ISBN-13: 978-1118174920 ...

Applied Calculus 5th Edition is praised for the creative and varied conceptual and modeling problems which motivate and challenge students.  The 5^th Edition of this market leading text exhibits the same strengths from earlier editions including the "Rule of Four," an emphasis on concepts and modeling, exposition that students can read and understand and a flexible approach to technology. Updated data and fresh applications throughout the book are designed to build student confidence with basic concepts and to reinforce skills. As in the previous edition, a Pre-test is included for students whose skills may need a refresher prior to taking the course.

Walter Gander ... 149 pages -Publisher: Springer; 1st edition (December, 2015) ...
Language: English - ISBN-10: 3319253263 - ISBN-13: 978-3319253268 ...

This comprehensive and stimulating introduction to Matlab, a computer language now widely used for technical computing, is based on an introductory course held at Qian Weichang College, Shanghai University, in the fall of 2014. Teaching and learning a substantial programming language aren’t always straightforward tasks. Accordingly, this textbook is not meant to cover the whole range of this high-performance technical programming environment, but to motivate first- and second-year undergraduate students in mathematics and computer science to learn Matlab by studying representative problems, developing algorithms and programming them in Matlab. While several topics are taken from the field of scientific computing, the main emphasis is on programming. A wealth of examples are completely discussed and solved, allowing students to learn Matlab by doing: by solving problems, comparing approaches and assessing the proposed solutions.

Dean G. Duffy ... 1004 pages - Publisher: Chapman and Hall; 4th edition (December, 2016) ... Language: English - ISBN-10: 1498739644 - ISBN-13: 978-1498739641.

Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today’s STEM (science, technology, engineering, and mathematics) student. Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional disciplines of ordinary and partial differential equations, vector calculus and linear algebra. (2) The modern student must have a strong foundation in transform methods because they provide the mathematical basis for electrical and communication studies. (3) The biological revolution requires an understanding of stochastic (random) processes. The chapter on Complex Variables, positioned as the first chapter in previous editions, is now moved to Chapter 10. The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. Along with several updates and changes from the third edition, the text continues to evolve to meet the needs of today’s instructors and students.

Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying E. Ye ... 
816 pages - Publisher: Pearson; 9th edition (January, 2011) ...
Language: English - ISBN-10: 0321629116 - ISBN-13: 978-0321629111 ...

This classic text provides a rigorous introduction to basic probability theory and statistical inference, with a unique balance of theory and methodology. Interesting, relevant applications use real data from actual studies, showing how the concepts and methods can be used to solve problems in the field. This revision focuses on improved clarity and deeper understanding.

Paul Blanchard, Robert L. Devaney, Glen R. Hall ...
864 pages - Publisher: Cengage Learning; 4th edition (April, 2011) ...
Language: English - ISBN-10: 1133109039 - ISBN-13: 978-1133109037 ...

Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models. Users will discover how to identify and harness the mathematics they will use in their careers, and apply it effectively outside the classroom.

Tshilidzi Marwala, Ilyes Boulkaibet, Sondipon Adhikari ...
248 pages - Publisher: Wiley; 1st edition (November, 2016) ...
Language: English - ISBN-10: 1119153034 - ISBN-13: 978-1119153030 ...

Covers the probabilistic finite element model based on Bayesian statistics with applications to aeronautical and mechanical engineering: Finite element models are used widely to model the dynamic behaviour of many systems including in electrical, aerospace and mechanical engineering. The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering.

Probabilistic Finite Element Model Updating Using Bayesian Statistics contains simple explanations of computational statistical techniques such as Metropolis-Hastings Algorithm, Slice sampling, Markov Chain Monte Carlo method, hybrid Monte Carlo as well as Shadow Hybrid Monte Carlo and their relevance in engineering. Key features: Contains several contributions in the area of model updating using Bayesian techniques which are useful for graduate students. Explains in detail the use of Bayesian techniques to quantify uncertainties in mechanical structures as well as the use of Markov Chain Monte Carlo techniques to evaluate the Bayesian formulations. The book is essential reading for researchers, practitioners and students in mechanical and aerospace engineering.

C. Henry Edwards, David E. Penney, David T. Calvis ... 
792 pages - Publisher: Pearson; 5th edition (September, 2014) ... Language: English - ISBN-10: 0321796985 - ISBN-13: 978-0321796981 ...

 This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.

Ramalingam Shanmugam, R. Chattamvelli ... 468 pages - Publisher: Wiley; 1st edition (July, 2015) ... Language: English - ASIN: B012WA7R4W by Amazon Digital Services ...

Ward Cheney, David Kincaid ... 784 pages - Publisher: Brooks Cole; 6th edition (August, 2007) ...
Language: English - ISBN-10: 0495114758 - ISBN-13: 978-0495114758 ...

The authors show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded Numerical Analysis: Mathematics of Scientific Computing-3rd Edition.

Michael Greenberg ... 1324 pages - Publisher: Pearson; 2nd edition (January, 1998) ... Language: English - ISBN-10: 0133214311 - ISBN-13: 978-0133214314 ...

This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement.

Willi Freeden, Martin Gutting ... 501 pages - Publisher: Birkhäuser; (February, 2013) ...
Language: English - ASIN: B00BLREZUW by Amazon Digital Services ...

Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality. The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process.

Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to application. All in all, the book is an equally valuable resource for education in geomathematics and the study of applied and harmonic analysis. Students who wish to continue with further studies should consult the literature given as supplements for each topic covered in the exercises. [by H.V. Thang]