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An Introduction to Involutive Structures (New Mathematical Monographs)

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An Introduction to Involutive Structures (New Mathematical Monographs) Overviews

Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.

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Partial Differential Equations for Computational Science: With Maple and Vector Analysis

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Overviews

This is a classroom-tested and developed textbook designed for use in either one- or two term courses in Partial Differential Equations taught at the advanced undergradute and beginning graduate levels of instruction. In addition to covering the standard PDE topics taught in such courses, there is a heavy focus on vector analysis. Maple examples and exercises for the students are presented strategically within the book, and an Appendix on Maple facilitates the use of this computer algebra language, acting as a quick reference source for readers. In addition, a cross-platform CD-ROM which is packaged with the text contains many analytical examples for students in the use of Maple. However, despite its general computational orientation, this book is designed so that it can also be readily used by instructors not wishing to bring the computational aspects of a computer algebra system into the classroom. This book will have strong appeal to interdisciplinary audiences! of engineers and scientists, particulary in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics, inclusion of the latter being a unique feature of the presentation.

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Higher Engineering Mathematics

Higher Engineering Mathematics Review










Price : $32.95






Overviews

This book deals with the mathematical concepts and skills that are essential to engineering studies. On each topic it provides a concise summary of the theory, followed by worked examples that explain how problems are solved. Readers can then reinforce their understanding by working through the graded problems. This textbook caters for students on BTEC Higher National Certificate and Higher National Diploma engineering courses, and is also suitable for people embarking on engineering degree courses.

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Vectors in Two or Three Dimensions (Modular Mathematics Series)

Vectors in Two or Three Dimensions (Modular Mathematics Series) Review




This book is a simple introduction to vectors and is for high school students in calculus up through college students in their second year of mathematics. Get this book before the "real" math books get a hold of you and complicate the topic of vectors. Read this first and then when they try to make it obscure in your later course work, you can smile to yourself because you understand.

Read the first four chapters to assist with High School / Freshman calculus and physics use of vectors. The first 4 chapters are 48 pages of a book the size of a popular paperback. It wont overload you to read this in addition to your course work IF it CLEARS things up.

Read the remainder of the book in your sophmore year at college to simplify your study of vector (multivariable) calculus, and linear algebra.

I own a copy online and a hard copy of this book. I have loaned it out to students I have tutored in math.

Note that modular math also has a book out on multivariable or vector calculus. As a second year college math student, also consider that book to carry you further along..Vector Calculus (Modular Mathematics Ser)





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Price : $46.95

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Overviews

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.

Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories.

* Adopts a geometric approach
* Develops gradually, building from basics to the concept of isometry and vector calculus
* Assumes virtually no prior knowledge
* Numerous worked examples, exercises and challenge questions

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Customer Review


Simple But Comprehensive Vector Operations Book - Terrance R. Banach - Sherman CT USA
This book presents vector math with a view from the geometrical perspective. The material is easy to follow. I found the instruction simple but well written. The book would be great as either an intro to vector analysis or as a quick review text.





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Calculus Concepts and Contexts (Includes Introduction to Vectors Chapter) (Volume 1)

Calculus Concepts and Contexts (Includes Introduction to Vectors Chapter) (Volume 1) Review

















Overviews

This is a custom Northeastern University textbook used in Calculus 1(MTHU241) and Calculus 2(MTHU242).

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Single Variable Calculus with Vector Functions: Concepts and Contexts for AP* Calculus

Single Variable Calculus with Vector Functions: Concepts and Contexts for AP* Calculus Review










Price : $155.95

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Overviews

Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS: CONCEPTS AND CONTEXTS offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS: CONCEPTS AND CONTEXTS successfully brought peace to departments that were split between reform and traditional approaches to teaching calculus. Not only does the text help reconcile the two schools of thought by skillfully merging the best of traditional calculus with the best of the reform movement, it does so with innovation and meticulous accuracy.

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An Introduction to Frames and Riesz Bases

An Introduction to Frames and Riesz Bases Review




The subject of the book is a new tool in math, with a host of exciting applications. Of course, the subject has roots in classical ideas from harmonic analysis. But the book covers an explosive and exciting variety of developments since roughly 1990, and it is presented in the form of a graduate text. The basic idea begins with linear algebra, and progresses to expansions in function spaces, and multiresolutions. It will be useful to anyone who wants to learn from scratch about the underlying principles, the new results, and the applications. It is well written. A student of mine picked it up accidentally from my desk, and couldn't put it down. After awhile, he had completely forgotten what he came to see me about. It could have been some of the applications, such as antenna theory, wavelets, time-frequency analysis, uses in Radar, speech processing...



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Price : $74.95

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Overviews

The theory for frames and bases has developed rapidly in recent years because of its role as a mathematical tool in signal and image processing. In this self-contained work, frames and Riesz bases are presented from a functional analytic point of view, emphasizing their mathematical properties. This is the first comprehensive book to focus on the general properties and interplay of frames and Riesz bases, and thus fills a gap in the literature.

Key features:

* Basic results presented in an accessible way for both pure and applied mathematicians

* Extensive exercises make the work suitable as a textbook for use in graduate courses

* Full proofs included in introductory chapters; only basic knowledge of functional analysis required

* Explicit constructions of frames with applications and connections to time-frequency analysis, wavelets, and nonharmonic Fourier series

* Selected research topics presented with recommendations for more advanced topics and further reading

* Open problems to stimulate further research

"An Introduction to Frames and Riesz Bases" will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference.

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Customer Review






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Calculus Deconstructed: A Second Course in First-Year Calculus (Mathematical Association of America Textbooks)

Calculus Deconstructed: A Second Course in First-Year Calculus (Mathematical Association of America Textbooks) Review










Price : $72.50

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Overviews

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basica analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject.

No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

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