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A monograph on the mechanics of real gases with tables of gasdynamic functions for solving problems of gas flows over wide temperature/pressure ranges. The author presents brief derivations of differential equations of thermodynamics with corresponding property data for nine extensively used gases. ... Read more

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Designed specifically for a short one-term course in real analysis including such topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces & infinite series.There are proofs of the basic theorems on limits at a pace that is deliberate & detailed.DLC: Mathematical analysis. ... Read more

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for committed readers in physical science and engineering
One nice thing about a Springer book like this is that the author has refrained from populating many pages with multicoloured illustrations. The latter is now common amongst maths books aimed at introductory calculus [or indeed other branches of maths], where authors figure that they need to grab the attention of a diverse set of readers.

This book is directed at students already heading into an engineering or physical science major. The few diagrams are in black and white, but are cogent to the discussion. The level of rigour is not quite that of Spivak or Apostol's books on calculus, or Marsden's Elementary Classical Analysis. Those are meant more for maths majors. The current book's treatment is more than adequate for understanding and using analysis in your fields. As a practical matter, you'll rarely need the rigour of the other texts. ... Read more

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This practical reference–the only available book of its kind on the subject–offers detailed coverage of every important aspect of symmetric structures in functions of a single real variable–providing a historical perspective, proofs, and useful methods for addressing problems.An integrated, single-source volume that furnishes valuable assistance for real analysis problems involving symmetric derivatives, symmetric continuity, and local symmetric structure of sets or functions!Supplying both classical proofs and newer, simpler, and more general techniques, Symmetric Properties of Real Functionsgives all of the necessary background informationexplicates the established symmetric derivatives and develops the continuity properties of functions satisfying a symmetric growth conditionsystematically studies the regularity properties of functions that satisfy even as well as odd symmetry conditionsexplores monotonicity and convexity theorems as they arise from the first or second symmetric derivativedefines many symmetric derivatives and surveys the nature of resultsintroduces the variational theory associated with the first and second symmetric derivativesaddresses symmetric integrals and their relation to the solution of the coefficient problem for trigonometric seriesand more! ... Read more

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When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this. ... Read more

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This is an important book in complexity theory.
This is an important book in complexity theory. It ties the discrete complexity theory of NP-completeness with numerical computation of continuous functions.Traditionally, numerical computation usesfloating-point machines as the computational model and the theory is verymessy. More recently, there are several approaches trying to create a morecoherent theory with discrete complexity theory.This theory using Turingmachines as a model is one of them.The advantage of this approach is thatit makes a direct connection with the NP-completeness theory. The book iswell-written and includes a brief review of discrete complexity theory.

Bad
I think it was the worst book ever.Don't understand why he wrote it ... Read more

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Publisher: Boston, New York, Ginn ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Weierstrass and Blancmange nowhere differentiable functions, Lebesgue integrable functions with everywhere divergent Fourier series, and various nonintegrable Lebesgue measurable functions. While dubbed strange or "pathological," these functions are ubiquitous throughout mathematics and play an important role in analysis, not only as counterexamples of seemingly true and natural statements, but also to stimulate and inspire the further development of real analysis.

Strange Functions in Real Analysis explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentially noneffective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line, and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum. Finally, he considers examples of functions whose existence cannot be established without the help of additional set-theoretical axioms and demonstrates that their existence follows from certain set-theoretical hypotheses, such as the Continuum Hypothesis. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishings Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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Providing a thorough introduction to the differentiation and integration of functions of several real variables, this book is aimed at second year undergraduates and above who have completed a first elementary course of analysis. It covers many of the topics of advanced calculus including extremum problems and vector calculus. Topological notions such as compactness and connectedness are studied in the concrete setting of Euclidean space to ease the students' encounter with these important concepts. There is a detailed study of continuity and diffentiability of functions plus a comprehensive treatment of the important inverse and implicit function theorems. Very little background knowledge is taken for granted, many basic notions are reviewed, and proofs are carefully explained. Worked examples are included throughout the book, complemented with a wide selection of problems. These are provided with hints for solutions while complete solutions for all problems are given at the end of the text. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more