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A Course in Modern Analysis and its Applicationsby Graeme L. Cohen; J. H. Loxton; C. C. Heyde; W. D. Neumann; C. E. M. Pearce
Cambridge University Press 2003; US$ 62.00Designed for one-semester courses for senior undergraduates, this book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics. more...
Numbers and Functionsby R. P. Burn
Cambridge University Press 2000; US$ 56.00In this new edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. more...
Real Analysis and Probabilityby R. M. Dudley; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2002; US$ 54.00This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The comprehensive historical notes have been further amplified for this new edition, and a number of new exercises have been added, together with hints for solution. more...
Mathematical Methods For The Natural And Engineering Sciencesby Ronald E Mickens
World Scientific 2004; US$ 101.40This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature. more...
Applied Analysisby Takasi Senba; Takashi Suzuki
World Scientific 2004; US$ 88.40This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also gives fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semi-conductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, iteration scheme, are described,... more...
Frontiers In Mathematical Analysis And Numerical Methodsby Li Tatsien
World Scientific 2004; US$ 109.20This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc. more...
Advanced Mathematics For Engineering And Scienceby C. F. Chan Man Fong; D. De Kee
World Scientific 2003; US$ 133.90This is a mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyond. It is a book of applicable mathematics. It avoids the approach of listing only the techniques, followed by a few examples, without explaining why the techniques work. more...
Mathematical Methods for Physics and Engineeringby K. F. Riley; M. P. Hobson; S. J. Bence
Cambridge University Press 2006; US$ 82.00This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences. Containing over 800 exercises, half come with hints and answers and, in a separate manual, complete worked solutions. The remaining exercises are intended for unaided homework; full solutions are available to instructors. more...
Analysisby Richard Beals
Cambridge University Press 2004; US$ 54.00This book is a text on mathematical analysis suitable for graduate students and advanced undergraduates. It provides an extensive introduction to proof and to rigorous mathematical thinking. It contains many remarks and examples and 500 exercises designed to provide motivation, test understanding, help practice mathematical writing and explore additional topics. more...
Numerical Analysisby Steven T Karris
Orchard Publications 2007; US$ 60.00This text is written primarily for students/readers who have a good background of high-school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus. more...