Articles by "Maths"

Showing posts with label Maths. Show all posts

Wednesday, October 23, 2019 , , ,
Olaf Wolkenhauer  ... 296 pages - Publisher: Wiley-Interscience; (July, 2001) ... Language: English - ISBN-10: 0471416568 - ISBN-13: 978-0471416562.

A survey of the philosophical implications and practical applications of fuzzy systems: Fuzzy mathematical concepts such as fuzzy sets, fuzzy logic, and similarity relations represent one of the most exciting currents in modern engineering and have great potential in applications ranging from control theory to bioinformatics. Data Engineering guides the reader through a number of concepts interconnected by fuzzy mathematics and discusses these concepts from a systems engineering perspective to showcase the continuing vitality, attractiveness, and applicability of fuzzy mathematics.

The author discusses the fundamental aspects of data analysis, systems modeling, and uncertainty calculi. He avoids a narrow discussion of specialized methodologies and takes a holistic view of the nature and application of fuzzy systems, considering principles, paradigms, and methodologies along the way. This broad coverage includes: * Fundamentals of modeling, identification, and clustering * System analysis * Uncertainty techniques * Random-set modeling and identification * Fuzzy inference engines * Fuzzy classification, control, and mathematics. In the important emerging field of bioinformatics, the book sets out how to encode a natural system in mathematical models, describes methods to identify interrelationships and interactions from data, and thereby helps the practitioner to decide which variables to measure and why. Data Engineering serves as an up-to-date and informative survey of the theoretical and practical tools for analyzing complex systems. It offers a unique treatment of complex issues that is accessible to students and researchers from a variety of backgrounds.
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Saturday, October 19, 2019 , , ,
Peter Bruce, Andrew Bruce ... 320 pages - Publisher: O'Reilly; (May, 2017) ... Language: English - ISBN-10: 1491952962 - ISBN-13: 978-1491952962. 

Statistical methods are a key part of of data science, yet very few data scientists have any formal statistics training. Courses and books on basic statistics rarely cover the topic from a data science perspective. This practical guide explains how to apply various statistical methods to data science, tells you how to avoid their misuse, and gives you advice on what's important and what's not. Many data science resources incorporate statistical methods but lack a deeper statistical perspective. If you’re familiar with the R programming language, and have some exposure to statistics, this quick reference bridges the gap in an accessible, readable format. With this book, you’ll learn: Why exploratory data analysis is a key preliminary step in data science - How random sampling can reduce bias and yield a higher quality dataset, even with big data - How the principles of experimental design yield definitive answers to questions - How to use regression to estimate outcomes and detect anomalies - Key classification techniques for predicting which categories a record belongs to - Statistical machine learning methods that “learn” from data - Unsupervised learning methods for extracting meaning from unlabeled data.
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Tuesday, October 08, 2019 , , ,
Daniel Dubin ... 633 pages - Publisher: Wiley-Interscience; (May, 2003) ... Language: English - ISBN-10: 0471266108 - ISBN-13: 978-0471266105.

Utilizing state-of-the-art software to facilitate solutions to real-world problems: Practitioners in the field of physical science are continually faced with a variety of complex, real-world problems, the solution of which requires a working knowledge of both analytical and numerical techniques. An Introduction to Mathematical and Computational Physics Using Mathematica® is designed to help prospective scientists develop a practical, working knowledge of these techniques using the latest, most efficient electronic methodologies. Written from the perspective of a physicist rather than a mathematician, the text focuses on modern practical applications in the physical and engineering sciences, attacking these problems with a range of numerical and analytical methods, both elementary and advanced. Incorporating the widely used and highly praised Mathematica® software package, the author offers solution techniques for the partial differential equations of mathematical physics such as Poisson’s equation, the wave equation, and Schrödinger’s equation, including Fourier series and transforms, Green’s functions, the method of characteristics, grids, Galerkin and simulation methods, elementary probability theory, and statistical methods. The incorporation of Mathematica® offers students a wealth of practical benefits in that it: Requires little or no previous computer experience + Offers maximum flexibility and sophistication + Delivers easy access to the important ideas behind the various numerical methods + Facilitates important but often tedious analytic calculations + Is easily adapted to the application of other related software packages. Designed for both advanced undergraduate and graduate students in the physical and engineering sciences, as well as professionals who want to learn these methods, An Introduction to Mathematical and Computational Physics Using Mathematica® is also provided electronically on an accompanying CD. The electronic version contains the full text of the book, along with animations, user-modifiable source code, and links to related Web material.
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Monday, October 07, 2019 , , ,
Steven J. Miller ... 327 pages - Publisher: American Mathematical Society; (December, 2017) ... Language: English - ISBN-10: 1470441144 - ISBN-13: 978-1470441142.

Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, there is less emphasis on coding and detailed applications as the intended audience is more mathematical. There are still several important problems discussed (especially scheduling problems), but there is more emphasis on theory and less on the nuts and bolts of coding. A constant theme of the text is the ``why'' and the ``how'' in the subject. Why are we able to do a calculation efficiently? How should we look at a problem? Extensive effort is made to motivate the mathematics and isolate how one can apply ideas/perspectives to a variety of problems. As many of the key algorithms in the subject require too much time or detail to analyze in a first course (such as the run-time of the Simplex Algorithm), there are numerous comparisons to simpler algorithms which students have either seen or can quickly learn (such as the Euclidean algorithm) to motivate the type of results on run-time savings.
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Thursday, September 26, 2019 , , , ,
William Menke, Joshua Menke ... 342 pages - Publisher: Academic Press; 2nd edition (March, 2016) ... Language: English - ISBN-10: 0128044888 - ISBN-13: 978-0128044889.

Environmental Data Analysis with MatLab is a new edition that expands fundamentally on the original with an expanded tutorial approach, new crib sheets, and problem sets providing a clear learning path for students and researchers working to analyze real data sets in the environmental sciences. Since publication of the bestselling Environmental Data Analysis with MATLAB®, many advances have been made in environmental data analysis. One only has to consider the global warming debate to realize how critically important it is to be able to derive clear conclusions from often noisy data drawn from a broad range of sources. The work teaches the basics of the underlying theory of data analysis and then reinforces that knowledge with carefully chosen, realistic scenarios.
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Thursday, September 19, 2019 , , , ,
MoonJung Cho, Wendy L. Martinez ... 286 pages - Publisher: Chapman and Hall/CRC; (December, 2014) ... Language: English - ISBN-10: 1466596562 - ISBN-13: 978-1466596566

Fulfilling the need for a practical user’s guide, Statistics in MATLAB: A Primer provides an accessible introduction to the latest version of MATLAB and its extensive functionality for statistics. Assuming a basic knowledge of statistics and probability as well as a fundamental understanding of linear algebra concepts, this book: Covers capabilities in the main MATLAB package, the Statistics Toolbox, and the student version of MATLAB * Presents examples of how MATLAB can be used to analyze data * Offers access to a companion website with data sets and additional examples * Contains figures and visual aids to assist in application of the software *Explains how to determine what method should be used for analysis. Statistics in MATLAB: A Primer is an ideal reference for undergraduate and graduate students in engineering, mathematics, statistics, economics, biostatistics, and computer science. It is also appropriate for a diverse professional market, making it a valuable addition to the libraries of researchers in statistics, computer science, data mining, machine learning, image analysis, signal processing, and engineering.
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Monday, September 16, 2019 , ,
Joel R. Hass, Maurice D. Weir ... 1056 pages - Publisher: Pearson; 3rd edition (January, 2015) ... Language: English - ISBN-10: 0321999584 - ISBN-13: 978-0321999580

University Calculus, Early Transcendentals, Third Edition helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching.
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Monday, July 08, 2019 , , , ,
Keith McCormick, Jesus Salcedo, Jon Peck, Andrew Wheeler ... 528 pages - Publisher: Wiley; 1st edition (May, 2017) ... Language: English - ISBN-10: 1119003555 - ISBN-13: 978-1119003557

Dive deeper into SPSS Statistics for more efficient, accurate, and sophisticated data analysis and visualization: SPSS Statistics for Data Analysis and Visualization goes beyond the basics of SPSS Statistics to show you advanced techniques that exploit the full capabilities of SPSS. The authors explain when and why to use each technique, and then walk you through the execution with a pragmatic, nuts and bolts example. Coverage includes extensive, in-depth discussion of advanced statistical techniques, data visualization, predictive analytics, and SPSS programming, including automation and integration with other languages like R and Python. You'll learn the best methods to power through an analysis, with more efficient, elegant, and accurate code. IBM SPSS Statistics is complex: true mastery requires a deep understanding of statistical theory, the user interface, and programming. Most users don't encounter all of the methods SPSS offers, leaving many little-known modules undiscovered. This book walks you through tools you may have never noticed, and shows you how they can be used to streamline your workflow and enable you to produce more accurate results. Conduct a more efficient and accurate analysis - Display complex relationships and create better visualizations - Model complex interactions and master predictive analytics - Integrate R and Python with SPSS Statistics for more efficient, more powerful code. These "hidden tools" can help you produce charts that simply wouldn't be possible any other way, and the support for other programming languages gives you better options for solving complex problems. If you're ready to take advantage of everything this powerful software package has to offer, SPSS Statistics for Data Analysis and Visualization is the expert-led training you need.
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Wednesday, June 26, 2019 , ,
Michael Sullivan, Michael Sullivan III ... 1200 pages - Publisher: Pearson; 3rd edition (January, 2014) ... Language: English - ISBN-10: 0321931041 - ISBN-13: 978-0321931047.

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, Third Edition focuses on the fundamentals: preparation for class, practice with homework, and reviewing of key concepts. With the Concepts Through Functions series, the Sullivans expose students to functions in the first chapter and maintain a continuous theme of functions throughout the text. This approach ensures students master basic skills and develop the conceptual understanding they need for the course, ultimately preparing students for future math courses as well.
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Tuesday, June 25, 2019 , ,
Ramin S. Esfandiari ... 550 pages - Publisher: CRC Press; 1st edition (June, 2013) ... Language: English - ISBN-10: 1466585692 - ISBN-13: 978-1466585690

Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic, graphical, and numerical tasks. The text covers a variety of methods from curve fitting to solving ordinary and partial differential equations. Provides fully worked-out examples showing all details + Confirms results through the execution of the user-defined function or the script file  + Executes built-in functions for re-confirmation, when available + Generates plots regularly to shed light on the soundness and significance of the numerical results. Created to be user-friendly and easily understandable, Numerical Methods for Engineers and Scientists Using MATLAB® provides background material and a broad introduction to the essentials of MATLAB, specifically its use with numerical methods. Building on this foundation, it introduces techniques for solving equations and focuses on curve fitting and interpolation techniques. It addresses numerical differentiation and integration methods, presents numerical methods for solving initial-value and boundary-value problems, and discusses the matrix eigenvalue problem, which entails numerical methods to approximate a few or all eigenvalues of a matrix. The book then deals with the numerical solution of partial differential equations, specifically those that frequently arise in engineering and science. The book presents a user-defined function or a MATLAB script file for each method, followed by at least one fully worked-out example. When available, MATLAB built-in functions are executed for confirmation of the results. A large set of exercises of varying levels of difficulty appears at the end of each chapter. The concise approach with strong, up-to-date MATLAB integration provided by this book affords readers a thorough knowledge of the fundamentals of numerical methods utilized in various disciplines.
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Thursday, June 13, 2019 ,
Erwin Kreyszig ... 1280 pages - Publisher: Wiley; 10th edition (August, 2011) ... Language: English - ISBN-10: 9780470458365 - ISBN-13: 978-0470458365

This market-leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self contained subject matter parts for maximum flexibility. The new edition continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.
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Monday, May 13, 2019 , ,
Thomas W. Hungerford ... 595 pages - Publisher: Cengage; 3rd edition (July, 2012) ... Language: English - ISBN-10: 1111569622 - ISBN-13: 978-1111569624

Abstract Algebra: An Introduction is intended for a first undergraduate course in modern abstract algebra. Its flexible design makes it suitable for courses of various lengths and different levels of mathematical sophistication, ranging from a traditional abstract algebra course to one with a more applied flavor.  The book is organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups, so students can see where many abstract concepts come from, why they are important, and how they relate to one another. New Features: A groups-first option that enables those who want to cover groups before rings to do so easily. + Proofs for beginners in the early chapters, which are broken into steps, each of which is explained and proved in detail.  + In the core course (Chapters 1-8), there are 35% more examples and 13% more exercises.
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Friday, May 10, 2019 , ,
Ronald J. Tallarida ... 286 pages - Publisher: Chapman and Hall/CRC; 4th edition (April, 2008) ... Language: English - ISBN-10: 1420063049 - ISBN-13: 978-1420063042

 Convenient Organization of Essential Material so You Can Look up Formulas Fast... Containing a careful selection of standard and timely topics, the Pocket Book of Integrals and Mathematical Formulas, Fourth Edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fourth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size. New to the Fourth Edition: An expanded chapter on series that covers many fascinating properties of the natural numbers that follow from number theory + New applications such as geostationary satellite orbits and drug kinetics + An expanded statistics section that discusses nonlinear regression as well as the normal approximation of the binomial distribution  + Revised format of the table of integrals for easier use of the forms and functions. Easy to Use on the Go:The book addresses a range of areas, from elementary algebra, geometry, matrices, and trigonometry to calculus, vector analysis, differential equations, and statistics. Featuring a convenient, portable size, it is sure to remain in the pockets or on the desks of all who use mathematical formulas and tables of integrals and derivatives.
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Sunday, May 05, 2019 , , ,
Abdelwahab Kharab, Ronald B. Guenther ... 631 pages - Publisher: CRC Press; 4th edition (September, 2018) ... Language: English - ASIN: B07G423TJM by Amazon

Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos
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Sunday, April 28, 2019 , ,
Darald J. Hartfiel ... 384 pages - Publisher: CRC Press; (November, 2000) ... Language: English - ISBN-10: 1584881089 - ISBN-13: 978-1584881087

Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in the text. All of the material is presented from a matrix point of view with enough rigor for students to learn to compose arguments and proofs and adjust the material to cover other problems. The treatment includes optional subsections covering applications, and the final chapters move beyond basic matrix theory to discuss more advanced topics, such as decompositions, positive definite matrices, graphics, and topology. Filled with illustrations, examples, and exercises that reinforce understanding, Matrix Theory and Applications with MATLAB allows readers to experiment and visualize results in a way that no other text does. Its rigor, use of MATLAB, and focus on applications better prepares them to use the material in their future work and research, to extend the material, and perhaps obtain new results of their own.
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Friday, April 05, 2019 , ,
Jim DeFranza, Daniel Gagliardi ... 416 pages - Publisher: McGraw-Hill; (September, 2008) ... Language: English - ISBN-10: 0073532355 - ISBN-13: 978-0073532356 ...

Linear Algebra with Applications is an introductory text targeted to second or advanced first year undergraduates in engineering or mathematics. The organization of this text is motivated by the authors' experience which tells them what essential concepts should be mastered by students in a one semester undergraduate Linear Algebra course. The authors' main objectives are to fully develop each topic before moving on and to connect topics naturally. The authors take great care to meet both these objectives, because this organization will allow instructors teaching from this text to stay on task so that each topic can be covered with the depth required before progressing to the next logical one. As a result the reader is prepared for each new unit and there is no need to repeat a concept in a subsequent chapter when it is utilized. This text is geared towards an introductory linear algebra course taken by first or second year undergraduate students. However, it offers the opportunity to introduce the importance of abstraction, not only in mathematics, but in many other areas where Linear Algebra is used. The textbook’s approach is to take advantage of this opportunity by presenting abstract vector spaces as early as possible. Throughout the text, the authors are mindful of the difficulties that students at this level have with abstraction and introduce new concepts first through examples which gently illustrate the idea. To motivate the definition of an abstract vector space, and the subtle concept of linear independence, the authors use addition and scalar multiplication of vectors in Euclidean Space. The authors have strived to create a balance between computation, problem solving, and abstraction. This approach equips students with the necessary skills and problem solving strategies in an abstract setting that allows for a greater understanding and appreciation for the numerous applications of the subject.
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Wednesday, February 13, 2019 ,
John Bird ... 456 pages - Publisher: Routledge; 6th edition (April, 2014) ... Language: English - ISBN-10: 0415662788 - ISBN-13: 978-0415662789 ...

Introductory mathematics written specifically for students new to engineering: Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on the 25 famous mathematicians and engineers referenced throughout the book.
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Tuesday, August 07, 2018 , ,
Robert T. Smith, Roland B. Minton ... 1248 pages - Publisher: McGraw-Hill Education; 4th edition (2010) ... Language: English - ISBN-10: 0073532320 - ISBN-13: 978-0073532325 ...

Now in its 4th edition, Smith/Minton, Calculus: Early Transcendental Functions offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added to the exercise sets.
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Wednesday, July 04, 2018 , , ,
Amos Gilat ... 416 pages - Publisher: Wiley; 5th edition (January, 2014) ... Language: English- ISBN-10: 1118629868 - ISBN-13: 978-1118629864 ...

More college students use Amos Gilat’s MATLAB: An Introduction with Applications than any other MATLAB textbook. This concise book is known for its just-in-time learning approach that gives students information when they need it. The new edition gradually presents the latest MATLAB functionality in detail. Equally effective as a freshmen-level text, self-study tool, or course reference, the book is generously illustrated through computer screen shots and step-by-step tutorials, with abundant and motivating applications to problems in mathematics, science, and engineering.
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Tuesday, May 15, 2018 , ,
Won Y. Yang, Young K. Choi, Jaekwon Kim, Man Cheol Kim, H. Jin Kim, Taeho Im ... 755 pages - Publisher: Chapman and Hall/CRC; 1st edition (February, 2018) ... Language: English - ISBN-10: 1138059331 - ISBN-13: 978-1138059337 ...

The aim of this book is to help the readers understand the concepts, techniques, terminologies, and equations appearing in the existing books on engineering mathematics using MATLAB. Using MATLAB for computation would be otherwise time consuming, tedious and error-prone. The readers are recommended to have some basic knowledge of MATLAB.
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