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  • Calculus Essentials For Dummiesby Mark Ryan

    John Wiley & Sons, Inc. 2010; US$ 9.99

    Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents... more...

  • Calculus Workbook For Dummiesby Mark Ryan

    John Wiley & Sons, Inc. 2005; US$ 16.99

    From differentiation to integration - solve problems with ease Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or, worse yet, not know where to begin? Have no fear! This hands-on guide focuses on helping you solve the many types of calculus problems you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with limits, continuity, curve-sketching, natural logarithms, derivatives, integrals, infinite series, and more! 100s of Problems! Step-by-step answer sets clearly identify where you went wrong (or right) with a problem The inside scoop on calculus shortcuts... more...

  • Calculus II For Dummiesby Mark Zegarelli

    John Wiley & Sons 2011; US$ 19.99

    An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to... more...

  • Advanced Calculus with Applications in Statisticsby Andre I. Khuri

    John Wiley & Sons, Inc. 2003; US$ 166.00

    Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.  more...

  • Calculus with Complex Numbersby John B. Reade

    CRC Press 2003; US$ 36.95

    This text is a practical course in complex calculus that covers the applications, but does not assume the full rigour of a real analysis background. Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour more...

  • Iterated Integrals And Cycles On Algebraic Manifoldsby Bruno Harris

    World Scientific 2004; US$ 57.20

    This subject has been of great interest both to topologists and to number theorists. The first part of this book describes some of the work of Kuo-Tsai Chen on iterated integrals and the fundamental group of a manifold. The author attempts to make his exposition accessible to beginning graduate students. He then proceeds to apply Chen's constructions to algebraic geometry, showing how this leads to some results on algebraic cycles and the Abel?Jacobi homomorphism. Finally, he presents a more general point of view relating Chen's integrals to a generalization of the concept of linking numbers, and ends up with a new invariant of homology classes in a projective algebraic manifold. The book is based on a course given by the author at the Nankai... more...

  • Theories Of Integrationby Douglas S. Kurtz; Charles W. Swartz

    World Scientific 2004; US$ 72.80

    This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock?Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. more...

  • Introduction to the Calculus of Variationsby Bernard Dacorogna

    World Scientific 2005; US$ 70.20

    This book, containing more than 70 exercises with detailed solutions, is well designed for a course both at the undergraduate and graduate levels. more...

  • Singular Sets of Minimizers for the Mumford-Shah Functionalby David Guy

    Springer 2005; US$ 169.00

    This is the award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the regularity theorem (with an essentially unpublished proof in dimension, but a good part of the book is devoted to applications of A. Bonnet's monotonicity and... more...

  • Variational Analysis and Generalized Differentiationby Boris S. Mordukhovich

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 119.00

    Contains a comprehensive study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, and more. more...