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Fourier Series
  • Language: en
  • Pages: 120

Fourier Series

  • Type: Book
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  • Published: 2005-03-03
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  • Publisher: MAA

This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.

Encyclopedia of soils in the environment
  • Language: en
  • Pages: 2119

Encyclopedia of soils in the environment

More than ever before, a compelling need exists for an encyclopedic resource about soil - the rich mix of mineral particles, organic matter, gases, and soluble compounds that foster both plant and animal growth. Civilization depends more on the soil as human populations continue to grow and increasing demands are placed upon available resources. The Encyclopedia of Soils in the Environment is a comprehensive and integrated consideration of a topic of vital importance to human societies in the past, present, and future. This important work encompasses the present knowledge of the world's variegated soils, their origins, properties, classification, and roles in the biosphere. A team of outstan...

Cosmic Explosions in Three Dimensions
  • Language: en

Cosmic Explosions in Three Dimensions

Supernovae and gamma-ray bursts are the strongest explosions in the Universe. Observations show that, rather than being symmetrical, they are driven by strong jets of energy and other asymmetrical effects. These observations demand theories and computations that challenge the biggest computers. Originally published in 2004, this volume marked the transition to a fresh paradigm in the study of stellar explosions. It highlights the burgeoning era of routine supernova polarimetry and the insights into core collapse and thermonuclear explosions. With chapters by leading scientists, the book summarises the status of a fresh perspective on stellar explosions and should be a valuable resource for graduate students and research scientists.

Fourier Analysis
  • Language: en
  • Pages: 328

Fourier Analysis

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform a...

Notes on Functional Analysis
  • Language: en
  • Pages: 248

Notes on Functional Analysis

  • Type: Book
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  • Published: 2009-01-15
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  • Publisher: Springer

These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organised as twenty six lectures, each corresponding to a ninety minute class session. This may be helpful to teachers planning a course on this topic. Well prepared students can read it on their own.

Complex Function Theory
  • Language: en
  • Pages: 163

Complex Function Theory

Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.

Real Analysis
  • Language: en
  • Pages: 424

Real Analysis

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, ...

An Introduction to Dynamic Meteorology
  • Language: en
  • Pages: 535

An Introduction to Dynamic Meteorology

MATLAB scripts (M-files) are provided on the accompanying CD.

A Course on Integration Theory
  • Language: en
  • Pages: 118

A Course on Integration Theory

None

A Course on Topological Groups
  • Language: en
  • Pages: 117