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Geometry & Topology


Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition

Orbit and Constellation Design and Management (Space Technology Library, Vol. 13) - Renewed Edition Lowest new price: $69.00
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Author: James R Wertz
Brand: Brand: Microcosm, Inc

Orbit and Constellation Design and Management (OCDM) provides greatly expanded detail on many topics first introduced in the 2 of the earlier Wertz works - Spacecraft Attitude Determination and Control (SADC) and Space Mission Analysis and Design (SMAD).

If these two books got you started in mission engineering and you need more detail on the key area of Spacecraft Orbit and Attitude Systems (SOAS), then this book provides more detail in SOAS requirements definition, mission geometry, orbit and constellation design, relative motion of satellites, observation and measurement systems engineering, orbit control and management, and similar topics.

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Yet Another Introduction to Analysis

Yet Another Introduction to Analysis Lowest new price: $40.00
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Author: Victor Bryant
Brand: Brand: Cambridge University Press

Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education, the traditional development of analysis, often divorced from the calculus they learned at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus in school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis, the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate, new ideas are related to common topics in math curricula and are used to extend the reader's understanding of those topics. In this book the readers are led carefully through every step in such a way that they will soon be predicting the next step for themselves. In this way students will not only understand analysis, but also enjoy it.

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A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library)

A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library) Lowest new price: $57.77
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Author: G. N. Watson
Brand: Cambridge University Press

The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists.

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  • Used Book in Good Condition

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Multidimensional Real Analysis II: Integration (Cambridge Studies in Advanced Mathematics)

Multidimensional Real Analysis II: Integration (Cambridge Studies in Advanced Mathematics) Lowest new price: $109.21
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Author: J. J. Duistermaat

Volume 2 provides a comprehensive review of integral analysis in multidimensional Euclidean space.

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Conjecture and Proof (Classroom Resource Materials)

Conjecture and Proof (Classroom Resource Materials) Lowest new price: $25.79
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Author: Miklós Laczkovich

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on 'Conjecture and Proof'. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

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A Hilbert Space Problem Book (Graduate Texts in Mathematics)

A Hilbert Space Problem Book (Graduate Texts in Mathematics) Lowest new price: $49.99
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Author: P.R. Halmos
Brand: P R Halmos

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....

This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."

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  • A Hilbert Space Problem Book

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Analysis: An Introduction

Analysis: An Introduction Lowest new price: $63.90
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Author: Richard Beals
Brand: Brand: Cambridge University Press

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

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Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions)

Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) Lowest new price: $75.80
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Author: Robert M. Young

The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.


The Science of Fractal Images

The Science of Fractal Images Lowest new price: $38.55
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Brand: Brand: Springer

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit­ gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro­ gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo­ rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba­ sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat­ ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de­ velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

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  • Used Book in Good Condition

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Topology via Logic (Cambridge Tracts in Theoretical Computer Science)

Topology via Logic (Cambridge Tracts in Theoretical Computer Science) Lowest new price: $49.54
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Author: Steven Vickers
Brand: Brand: Cambridge University Press

This advanced textbook on topology has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the author freely exploits the methods of locale theory. Third, there is substantial discussion of some computer science applications. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap for computer scientists.

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