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Trigonometryby David A. Kay
John Wiley & Sons, Inc. 2011; US$ 9.99CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. CliffsQuickReview Trigonometry provides you with all you need to know to understand the basic concepts of trigonometry — whether you need a supplement to your textbook and classes or an at-a-glance reference. Trigonometry isn't just measuring angles; it has many applications in the real world, such as in navigation, surveying, construction, and many other branches of science, including mathematics and physics. As you work your way through this review, you'll be ready to tackle such concepts as Trigonometric functions, such as sines and cosines Graphs... more...
Simulating Hamiltonian Dynamicsby Benedict Leimkuhler; Sebastian Reich; M. J. Ablowitz; S. H. Davis; E. J. Hinch; A. Iserles; J. Ockendon; P. J. Olver
Cambridge University Press 2005; US$ 76.00Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. more...
Handbook of Mathematical Formulas and Integralsby Alan Jeffrey
Elsevier 2003; US$ 51.95The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and... more...
Math Word Problemsby Karen L. Anglin
John Wiley & Sons, Inc. 2004; US$ 9.99CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. CliffsQuickReview Math Word Problems gives you a clear, concise, easy-to-use review of the basics of solving math word problems. Introducing each topic, defining key terms, and carefully walking you through each sample problem gives you insight and understanding to solving math word problems. You begin by building a strong foundation in translating expressions, inserting parentheses, and simplifying expressions. On top of that base, you can build your skills for solving word problems: Discover the six basic steps for solving word problems Translate English-language... more...
Quantum Integrable Systemsby A. Roy Chowdhury; A. Ghose Choudhury
Chapman & Hall/CRC 2004; US$ 124.95Over the past 30 years, significant advances have been made in the field of integrable systems and their applications in statistical mechanics and mathematical physics, yet no book on the subject has been published since 1993. This monograph, the work of established authors in quantum mechanics, introduces the subject in a clear, logical way. The treatment first builds the background in classical physics and nonlinear systems, then moves to the quantum case before presenting the latest research and applications. The authors' clear approach and examples based on concrete physical models rather than abstract mathematics make the book useful to both the theoretical and applications-oriented audiences. more...
Beyond Perturbation: Introduction to the Homotopy Analysisby Shijun Liao
Chapman & Hall/CRC 2003; US$ 119.95Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. The author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is the first book to explore the details of this valuable new approach. more...
Knot Theoryby Vassily Manturov
CRC Press 2004; US$ 94.95Knot theory plays an importanat role in mathematics and this volume presents the main concepts of modern knot theory and applications together with full proofs so that it is accessible for undergraduates and is a useful reference for postgraduates, more...
Qualitative Theory of Dynamical Systemsby Anthony N. Michel; Kaining Wang; Bo Hu
Marcel Dekker Inc 2001; US$ 239.95Revised and expanded for the second edition, this text presents material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics. more...
Abelian Varieties, Theta Functions and the Fourier Transformby Alexander Polishchuk; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2003; US$ 84.00The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. more...
Computational Algebraic Geometryby Hal Schenck; C. M. Series
Cambridge University Press 2003; US$ 34.00The interplay between algebra and geometry is a beautiful area of mathematical investigation. Recent advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens new vistas and allows us to pose, study and solve problems previously out of reach. more...