Articles by "Calculus"

Showing posts with label Calculus. Show all posts

George Simmons, Steven Krantz ... 544 pages - Publisher: McGraw-Hill; (January, 2006) ... Language: English - ISBN-10: 0072863153 - ISBN-13: 978-0072863154.

This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world’s leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers.

Michael Sullivan, Mike Sullivan III ... 1200 pages - Publisher: Pearson; 7th edition (March, 2016) ... Language: English - ISBN-10: 0134119282 - ISBN-13: 978-0134119281.

The Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Series has evolved to meet today’s course needs by integrating the usage of graphing calculators, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors. In the Seventh Edition, there are several new features that appear in both the text and MyMathLab. Retain Your Knowledge problems offer the type of “final exam material” that students can use to maintain their skills throughout each chapter.

Michael Sullivan ... 1168 pages - Publisher: Pearson; 10th edition (February, 2015) ... Language: English - ISBN-10: 0321979079 - ISBN-13: 978-0321979070.

Mike Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Tenth Edition has evolved to meet today’s course needs.

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.

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.

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.

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.

PTC Mathcad Prime v5.0 x64 [Size: 836.7 MB] ... PTC Mathcad is Engineering Math Software That Allows You to Perform, Analyze, and Share Your Most Vital Calculations: Calculations are the heart of your engineering information. You and your team must be able to find, reuse, and share this important intellectual property. But how often have you been forced to hunt through a collection of spreadsheets, code, and notebooks to uncover what you need - and then schedule more time to have someone explain it? Assuming that employee is still with the company. PTC Mathcad has all your engineering notebook’s ease-of-use and familiarity - combined with live mathematical notation, units intelligence, and powerful calculation capabilities. This engineering math software allows you to present your calculations with plots, graphs, text, and images in a single document. Nobody needs specialized skills to understand PTC Mathcad data, and now that your intellectual property has been preserved, you can leverage it for other projects.

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.

James Stewart, Lothar Redlin, Saleem Watson  ... 1072 pages - Publisher: Brooks Cole; 7th edition (January, 2015) ... Language: English - ISBN-10: 1305071751 - ISBN-13: 978-1305071759 ...

This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity--the same as found in James Stewart's market-leading Calculus text--is what makes this text the proven market leader.

Glyn James ... 1152 pages - Publisher: Pearson Education Ltd; 5th edition (September, 2015) ... Language: English - ISBN-10: 1292080736 - ISBN-13: 978-1292080734 ...

This book provides a complete course for first-year engineering mathematics. Whichever field of engineering you are studying, you will be most likely to require knowledge of the mathematics presented in this textbook. Taking a thorough approach, the authors put the concepts into an engineering context, so you can understand the relevance of mathematical techniques presented and gain a fuller appreciation of how to draw upon them throughout your studies.

Dennis G. Zill ... 1024 pages - Publisher: Jones & Bartlett Learning; 6th edition (September, 2016) ... Language: English - ISBN-10: 1284105903 - ISBN-13: 978-1284105902 ...

Modern and comprehensive, the new sixth edition of award-winning author, Dennis G. Zill's Advanced Engineering Mathematics is a compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. A key strength of this best-selling text is the author's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. An accessible writing style and robust pedagogical aids guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems.

Géza Schay ... 318 pages - Publisher: Birkhäuser; (August, 2007) ... Language: English - ISBN-10: 0817644970 - ISBN-13: 978-0817644970 ...

Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject. The presentation is rigorous and contains theorems and proofs, and linear algebra is largely avoided so only a minimal amount of multivariable calculus is needed. The book contains clear definitions, simplified notation and techniques of statistical analysis, which combined with well-chosen examples and exercises, motivate the exposition. Theory and applications are carefully balanced. Throughout the book there are references to more advanced concepts if required.

Ronald L. Lipsman, Jonathan M. Rosenberg ... 276 pages - Publisher: Springer; 1st edition (December, 2017) ... Language: English - ISBN-10: 3319650696 - ISBN-13: 978-3319650692 ...

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.

Ronald L. Graham,‎ Donald E. Knuth,‎ Oren Patashnik ... 672 pages - Publisher: Addison-Wesley Professional; 2nd edition (March, 1994) ... Language: English - ISBN-10: 0201558025 - ISBN-13: 978-0201558029.

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums * Recurrences * Integer functions * Elementary number theory * Binomial coefficients * Generating functions * Discrete probability * Asymptotic methods. This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

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)..

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.

Dingyu Xue, YangQuan Chen ... 604 pages - Publisher: Chapman&Hall/CRC; 2nd edition (March, 2016) ... Language: English - ISBN-10: 1498757774 - ISBN-13: 978-1498757775 ... 

Enhance Your Students’ Mathematical Problem-Solving Ability: Scientific Computing with MATLAB, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor Solving Applied Mathematical Problems with MATLAB® while expanding and updating the content of each chapter. Based on the authors’ extensive teaching, research, and industrial experiences, the text adheres to the following course sequence: An overview of the computer languages suitable for mathematics - Fundamentals of MATLAB programming - Calculus problems - Linear algebra problems - Integral transforms and complex variable functions - Nonlinear equations and optimization problems - Differential equations problems - Data interpolation and functional approximation problems - Probability and statistics problems -Nontraditional methods, such as fuzzy logic, rough sets, neural networks, evolution algorithms, wavelets, and fractional calculus. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.

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 5th 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.

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