Learning calculus just a lot easier! Here's an innovative shortcut to gaining a more intuitive understanding of both differential and integral calculus. In "Calculus Demystified" an experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples, real data, and a totally different ...
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 ...
Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism groups of domains, harmonic measure, boundary ...
Here's the perfect self-teaching guide to help anyone master differential equations, a common stumbling block for students looking to progress to advanced topics in both science and math. It covers first order equations, second order equations and higher, properties, solutions, series solutions, Fourier series and orthogonal systems, partial ...
Calculus is one of the milestones of human thought. Every well-educated person should be acquainted with the basic ideas of the subject. In todaya (TM)s technological world in which more and more ideas are being quantified, knowledge of calculus has become essential to a broader cross-section of the population. This Debut Edition of Calculus by ...
Calculus is one of the milestones of human thought. Every well-educated person should be acquainted with the basic ideas of the subject. In todaya (TM)s technological world, in which more and more ideas are being quantified, knowledge of calculus has become essential to a broader cross-section of the population. This Debut Edition of Calculus by ...
This treatment of domains in space emphasizes the growing interaction between analysis and geometry. Geometric analysis is an important area of study for both pure and applied mathematicians and engineers.
The rapid growth of wavelet applications - speech compression and analysis, image compression and enhancement, and removing noise from audio and images - has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers ...
This concise, straightforward guide provides an all-purpose introduction to writing and preparing papers, reports, articles, and books with TEX. Scientists, engineers, mathematicians, and technical staff will discover how easy it is to clearly and quickly perform all the necessary tasks required to prepare equations and text. The first half of the ...
MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning math ...
Tracing a path from the earliest beginnings of Fourier series through to the latest research A Panorama of Harmonic Analysis discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax is a consideration of ideas from the point of ...
Geometric methods have been used in complex analysis since the 1930s. Since that time they have become a central part of the research activities of complex analysis. However, these important techniques have never found their way into a text accessible to a broad audience. Steven G. Krantz, a leading worker in complex analysis and a well-known ...
During the past decade, mathematics education has changed rapidly, giving rise to a polarization of opinions among the community of research mathematicians. What is the appropriate balance between theory, technique, and applications? What is the role of technology? How do we fulfil the needs of students entering other fields? The purpose of this ...
This handbook provides a compilation of information for complex analysis and application. The emphasis is on providing working tools, ideas and methods for soving problems in math, science and engineering.
Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. "Partial Differential Equations and Complex Analysis" explores the background and plumbs the depths of this symbiosis. The book is an ...
This volume aims to provide an illustrative overview of some of the key methodological and technical innovations from current research in behavioural medicine. It is divided into three sections. Part 1 consists of six chapters describing the impact on behavioural medicine research of novel developments in diverse areas such as molecular genetics, ...
This quick and easy-to-use guide provides a solid grounding in the fundamental area of complex variables. Copious figures and examples are used to illustrate the principal ideas, and the exposition is lively and inviting. In addition to important ideas from the Cauchy theory, the author also includes the Riemann mapping theorem, harmonic functions ...
Clearly written and easy to understand, The Elements of Advanced Mathematics covers logic, set theory, methods of proof, and axiomatic structures, providing an excellent grounding in analytical thinking. It facilitates the transition from elementary mathematics, generally characterized by problem-solving techniques, to advanced mathematics, ...
This handbook presents the elements of modern logic, including many current topics, to the reader having only basic mathematical literacy. Computer scientists will find specific examples and important ideas such as axiomatics, recursion theory, decidability, independence, completeness, consistency, model theory, and P/NP completeness. The book ...
This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional ...
Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing - and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the need for comprehensible, working definitions of ...
From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, "Complex Variables: A Physical Approach with Applications and MATLAB" explores all facets of this subject, with particular emphasis on using theory in practice. The ...
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and ...
In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper ...
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