Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. Features include: The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated.Carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence.An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. In addition to the text, DasGupta also offers a Solutions Manual, which is available on the Online Learning Center.Algorithms is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its subject. Like a captivating novel, it is a joy to read. Tim Roughgarden Stanford University

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    The layout of the book covers the following: Laplace transforms, mathematical model

    It contains meticulous trail descriptions that range from comfortable strolls for families to difficult treks for those looking for a challenging workout. Extensive key-at-a-glance information makes it easier to choose a hike based on length, difficulty, or scenery. A helpful list of hikes in the front of the book highlights those with special interests — best hikes for children, scenic hikes, hikes good for wildlife viewing, best hikes for runners, and more. Each hike report includes commentary on trailside geology, flowers, and wildlife. Historical notes provide fascinating details about early miners, trailblazers, the Pony Express, and Mormon pioneers. Whether lacing up boots, stepping into sneakers or strapping on snowshoes, Salt Lake City is a premier destination for outdoor adventure.

    

    /B.TECH., U.P.S.E.(ENGG..SERVICES ) : SECTION 'B' OF A.M.I.E. (I) Table of Contents Introdeuction Kinematics Of Motion Kinetics Of Motion Simple Harmonic Motion Simple Mechanisms Velocity In Mechanims ( Instantaneous Centre Method) Velocity In Mechanims ( Relative Centre Method ) Acceleration In Mechanisms Mechanisms With Lower Pairs Friction Belt, Rope & Chain Drives Toothed Gearing Gear Trains Gyroscopic Couple &Precessional Motion Inertia Forces In Reciprocating Parts Turning Moment Diagrams & Flywheel Steam Engine Valves & Reversing Gears Governors Brakes & Dynamometers Cams Balancing Of Rotating Masses Balancing Of Reciprocating Masses Longitudinal & Transverse Vibrations Torsional Vibrations Computer Aided Analysis & Synthesis Of Mechanisms Automatic Control

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.

    Like earlier editions of the book, physical concepts are highlighted while also giving necessary attention to math-ematical techniques. Both theory and modeling are developed from simple beginnings so that they can be readily extended to new and complex situations. Beginning in Ch. 3, students are introduced to new concepts critical to analyzing power systems, including coverage of both balanced and unbalanced operating conditions. The authors incorporate new tools and material to aid students with design issues and reflect recent trends in the field. Each book now contains a CD with Power World software. This package is commonly used in industry and will enable students to analyze and simulate power systems. The authors use the software to extend, rather than replace, the fully worked examples provided in previous editions. In the new edition, each Power World Simulator example includes a fully worked hand solution of the problem along with a Power World Simulator case (except when the problem size makes it impractical). The new edition also contains updated case studies on recent trends in the Power Systems field, including coverage of deregulation, increased power demand, economics, and alternative sources of energy. These case studies are derived from real life situations.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    It offers superior coverage of all key areas, including descriptive chemistry, MO theory, bonding, and physical inorganic chemistry. Chapter topics are presented in logical order and include: basic concepts; nuclear properties; an introduction to molecular symmetry; bonding in polyatomic molecules; structures and energetics of metallic and ionic solids; acids, bases, and ions in aqueous solution; reduction and oxidation; non-aqueous media; and hydrogen. Four special topic chapters, chosen for their currency and interest, conclude the book. For researchers seeking the latest information in the field of inorganic chemistry.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    This book also features the design process, streamlined coverage of statistics, an overview of materials and materials selection, failure and fatigue, and review of basic strength of materials topics.

    Most important, it provides a wealth of examples for readers to model for everything from online journal articles to supplemental data sets and measurement instruments to books, videos, apps, websites, podcasts, blog posts, and social media. Approximately 70 examples are provided for readers to consider as they learn how to create reliable references for electronic sources.Students and other writers will find this guide indispensable as well as convenient to download and use when creating a reference list.

    Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.