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81. A First Course in Mathematical Analysis by J. C. Burkill | |
Paperback: 196
Pages
(1978-12-29)
list price: US$47.00 -- used & new: US$38.18 (price subject to change: see help) Asin: 0521294681 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Good
A good little "bridge" from School Maths into University The recipe is simple: keep it short, keep it sweet, keep it simple! Mr Burkill has produced a fine little book that gently guides the new student embarking on a specialism in Maths. The author has struck a good balance between the problem solving so familiar at school and introducing the rigour of Mathematical Analysis. Familiar concepts like differentiation and integration are brought into play right after a quick refresher on numbers and then introducing the notion of limit within the framework of sequences. The delta-epsilon construct is used to great effect to give meaning to the ideas of convergence of sequences and the continuity of functions. These then lead naturally to the Differential calculus where previously learnt ideas like the rules of differentiation are placed in a rigorous setting and interesting elementary analytical results such as the Mean Value Theorem and Taylor's theorem are discussed. The chapter on Infinite series together with the elementary rules for testing for convergence is followed by a chapter on the special functions of analysis as defined in terms of series - e.g. exp, log, sin, cos, etc. The chapter on the Integral Calculus makes a natural next step utilising the ideas of an integral as a limit and of infinite series. Specific techniques such as the integral to infinity and approximation methods are placed on a rigorous footing. The final chapter introduces functions of several variables. The book has lots of worked examples within the text, which aid understanding of new material. As a bonus, there are also several end of section with notes/hints at the end of the book. Overall, this is a gentle introduction to Analysis and will help anyone who is overawed by the subject on first encounter. ... Read more |
82. An Introduction to Complex Analysis in Several Variables, Third Edition (North-Holland Mathematical Library) by L. Hormander | |
Hardcover: 268
Pages
(1990-01-16)
list price: US$114.00 -- used & new: US$81.40 (price subject to change: see help) Asin: 0444884467 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
excellent if you understand it
Book by a communication-challenged but expert mathematician
High-level math, as expected from Hormander So, we haveHormander's book. Lars Hormander is known for writing high-level math texts(both in quality and difficulty), as seen in his famous 4-volume seriesabout PDE's, and this book is no exception. His point of view is morerelated to his area of research (PDE's, again), and his demands forprerequisites are higher than GR (basics from Lebesgue integration,differential forms, algebra and point-set topology are more than welcome),but this book is a masterpiece of mathematical craftsmanship. The methodshere developed are often unique, and the author presents the subject in afully rigorous way. Along with the fact that it is one of the very fewbooks on several complex variables still in print, this is a very valuabletext, set in a high standard of excellence. My only complaint is theobscenely high price for a book so important. Several complex variables arean indispensable background for complex manifolds and algebraic geometry,and several important topics in theoretical physics (string theory, twistortheory, conformal field theory), and it's a shame that books like GR goout-of-print without any others for substituting them. Hormander's bookdoesn't go much deep in these directions, but you won't find any other bookin print on the subject with such a high quality. ... Read more |
83. Infinite Dimensional Analysis: A Hitchhiker's Guide by Charalambos D. Aliprantis, Kim C. Border | |
Paperback: 703
Pages
(2007-05-17)
list price: US$84.95 -- used & new: US$62.38 (price subject to change: see help) Asin: 3540326960 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This monograph presents a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied. Customer Reviews (1)
An excellent treatment of mathematical methods for economist |
84. Fourier Analysis (Graduate Studies in Mathematics) by Javier Duoandikoetxea | |
Hardcover: 222
Pages
(2000-12-12)
list price: US$39.00 -- used & new: US$31.20 (price subject to change: see help) Asin: 0821821725 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
85. Functional Analysis and Semi-groups (Colloquium Publications (Amer Mathematical Soc)) by E Hille and R S Phillips | |
Paperback: 808
Pages
(1996-02-06)
list price: US$62.00 -- used & new: US$62.00 (price subject to change: see help) Asin: 0821810316 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
86. Microlocal Analysis for Differential Operators: An Introduction (London Mathematical Society Lecture Note Series) by Alain Grigis, Johannes Sjöstrand | |
Paperback: 160
Pages
(1994-03-25)
list price: US$45.00 -- used & new: US$43.51 (price subject to change: see help) Asin: 0521449863 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
87. Elementary Classical Analysis by Jerrold E. Marsden, Michael J. Hoffman | |
Hardcover: 640
Pages
(1993-03-15)
-- used & new: US$56.19 (price subject to change: see help) Asin: 0716721058 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (19)
An okay introduction
Dense but clear and concise
Good book - lot's of mistakes
Lovedit as a student and as a professor
very helpful book |
88. A course in mathematical analysis by Edouard Goursat, Otto Dunkel, E R. 1876-1943 Hedrick | |
Paperback: 276
Pages
(2010-08-06)
list price: US$27.75 -- used & new: US$19.87 (price subject to change: see help) Asin: 1176917021 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Just a sequence of random code |
89. Friendly Introduction to Analysis, A (2nd Edition) by Witold A.J. Kosmala | |
Paperback: 600
Pages
(2004-01-19)
list price: US$84.00 -- used & new: US$45.00 (price subject to change: see help) Asin: 0130457965 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
A big mistake
This is a good book...but
A suffocating read.
Having problems with analysis? GET THIS BOOK!
Great book for learning, reference, and review. In comparison to other books I have studied concerning this material, this text has been written with students making the transition from computational mathematics (calculus sequence, linear, DEs) to analytical, theorem proving mathematics in mind. There is a strong emphasis on conceptual understanding and on how the topics are related to one another, with motivation provided for the study of each topic. Theorems are presented in a logical sequence, a large number are proved, and the discussions are very useful in pointing out important aspects of theorems and special cases to consider. Concerning exercises, one nice thing I have come to appreciate is that, while being an analysis text, computational exercises are provided to ensure that the concepts are fully understood. Following these exercises, the numerous examples will help when completing the requested proofs. The second edition is noticeably slimmer than the first. This is mainly due to a change in typesetting (which is better, in my opinion; the text is closer together so the pages look more full). There was one chapter removed on Fourier Series, but this can now be downloaded from Dr. Kosmala's web site. Aside from this one removal, there is more material presented in the second edition to go along with the corrections and rearrangements to the first. Analysis can be a difficult subject to grasp, so I highly recommend this text for (as the preface says) its "clarity, readability, and friendliness." ... Read more |
90. Analysis (Graduate Studies in Mathematics) by Elliott H. Lieb, Michael Loss | |
Hardcover: 346
Pages
(2001-03-21)
list price: US$43.00 -- used & new: US$42.57 (price subject to change: see help) Asin: 0821827839 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Authors Elliott Lieb and Michael Loss take you quickly from basic topics to methods that work successfully in mathematics and its applications. While omitting many usual typical textbook topics, Analysis includes all necessary definitions, proofs, explanations, examples, and exercises to bring the reader to an advanced level of understanding with a minimum of fuss, and, at the same time, doing so in a rigorous and pedagogical way. Many topics that are useful and important, but usually left to advanced monographs, are presented in Analysis, and these give the beginner a sense that the subject is alive and growing. This new Second Edition incorporates numerous changes since the publication of the original 1997 edition and includes: Features: a new chapter on eigenvalues that covers the min-max principle, semi-classical approximation, coherent states, Lieb-Thirring inequalities, and more extensive additions to chapters covering Sobolev Inequalities, including the Nash and Log Sobolev inequalities new material on Measure and Integration many new exercises and much more ... The Second Edition continues its no-nonsense approach to the topic that has made it one of the best selling books on the subject. It is an authoritative, straight-forward volume that readers---from the graduate student, to the professional mathematician, to the physicist or engineer using analytical methods---will find useful both as a reference and as a guide to real problem solving. About the authors: Elliott Lieb is Professor of Mathematics and Physics at Princeton University and is a member of the US, Austrian, and Danish Academies of Science. He is also the recipient of several prizes including the 1988 AMS/SIAM Birkhoff Prize. Michael Loss is Professor of Mathematics at the Georgia Institute of Technology. Customer Reviews (3)
A tremendous jumpstart into modern mathematical physics
A start in analysis.
An excellent course of analysis with a theme |
91. Complex Analysis (Princeton Lectures in Analysis) by Elias M. Stein, Rami Shakarchi | |
Hardcover: 392
Pages
(2003-04-07)
list price: US$67.50 -- used & new: US$51.17 (price subject to change: see help) Asin: 0691113858 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory. Customer Reviews (9)
Nice choice of topics
Good
Informative, but too dense
it is just good
The exercises are not very good |
92. Introduction to Vectors and Tensors Volume 2: Vector and Vector Analysis (Mathematical Concepts and Methods in Science and Engineering) | |
Hardcover: 192
Pages
(1976-05-31)
list price: US$97.00 -- used & new: US$249.99 (price subject to change: see help) Asin: 0306375095 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
Ray M. Bowen |
93. Wavelets: A Mathematical Tool for Signal Analysis (Siam Monographs on Mathematical Modeling and Computation) by Charles K. Chui | |
Paperback: 228
Pages
(1997)
list price: US$63.00 -- used & new: US$59.05 (price subject to change: see help) Asin: 0898713846 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
94. Undergraduate Analysis (Undergraduate Texts in Mathematics) by Serge Lang | |
Paperback: 668
Pages
(2010-11-02)
list price: US$79.95 -- used & new: US$64.09 (price subject to change: see help) Asin: 1441928537 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY Customer Reviews (5)
Abeauty
Just like every other Lang text
Solid, complete reference to basic analysis topics
okay
Great intro to real analysis with logical format |
95. Linear Analysis: An Introductory Course by Bela Bollobas | |
Paperback: 256
Pages
(1999-03-01)
list price: US$55.00 -- used & new: US$45.84 (price subject to change: see help) Asin: 0521655773 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Five stars for content; two stars for printing
Good writing, OK coverage |
96. Problems and Solutions for Complex Analysis (Volume 0) by Rami Shakarchi, Serge Lang | |
Paperback: 246
Pages
(1999-10-14)
list price: US$59.95 -- used & new: US$33.00 (price subject to change: see help) Asin: 0387988319 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
I have little taste for answer books, especially when they are wrong
INCOMPLETE EXPLANATIONS
The Right Stuff !!!!!!!!!!!!!! |
97. Planning and Analysis of Observational Studies (Probability & Mathematical Statistics) by William Gemmell Cochran, Lincoln E. Moses, Frederick Mosteller | |
Hardcover: 160
Pages
(1983-08)
list price: US$44.95 -- used & new: US$99.99 (price subject to change: see help) Asin: 0471887196 Canada | United Kingdom | Germany | France | Japan | |
98. Theoretical Numerical Analysis: A Functional Analysis Framework (Texts in Applied Mathematics) by Kendall E. Atkinson, Weimin Han | |
Hardcover: 625
Pages
(2009-06-02)
list price: US$79.95 -- used & new: US$55.99 (price subject to change: see help) Asin: 1441904573 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003 Customer Reviews (1)
About Theoretical Numerical Analysis
<br />by Kendall E. Atkinson |
99. A First Course in Numerical Analysis: Second Edition by Anthony Ralston, Philip Rabinowitz | |
Paperback: 624
Pages
(2001-02-06)
list price: US$24.95 -- used & new: US$9.98 (price subject to change: see help) Asin: 048641454X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
5 Stars for undergrads
Archaic First Course in Numerical Analysis
A classic and a bargain at that
good intermediate text on numerical analysis
Simply the best you can get (at this price) |
100. A Radical Approach to Real Analysis: Second Edition (Classroom Resource Materials) by David Bressoud | |
Hardcover: 380
Pages
(2006-11-27)
list price: US$58.95 -- used & new: US$48.00 (price subject to change: see help) Asin: 0883857472 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Excellent sequel
A radically false account of history
Getting there naturally |
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