Reviews (18)

Popuplar! But is it the best??
The famous physicist Richard Feynman once said the most popular textbooks are generally not the best. This one by Boyce and Diprima is a standard in college level DE. I found it a bit dry. If you want one that's more interesting check out Fred Brauer's Elementary Differential Equations: Principles, Problems and Solutions. ASIN: B0006BV1KG It's really good companion to any DE course.

Bad...just bad...
I have both the text and the solutions manual that accompanies it.The book itself is lousy; the examples skip so many steps they're nearly impossible to follow.The so called solutions manual isn't any better; it only has certain problems worked out, and even those aren't done well.At least the book has one line answers to ALL the problems in the back.

Why This Book?
This is the standard text for D.E.'s at Stanford University. Stanford's syllabus and problem sets can be located at this address: http://math.stanford.edu/~vakil/034/index.html
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Subjects:  1. Boundary Value Problems    2. Differential Equations    3. Functional Analysis    4. Mathematics    5. Science/Mathematics    6. Applied mathematics    7. Mathematics / Differential Equations   

Reviews (1)

Clear, basic introduction
This undergrad text is extremely clear, with lots of examples and exercises. I thought the coverage was a bit limited, even for an undergrad text and the writing style is kind of dry. Still, it's perhaps even easier than Kreyszig. ... Read more

Subjects:  1. Functional Analysis    2. Mathematics    3. Science/Mathematics    4. Analysis    5. Linear Algebra    6. Mathematics / Functional Analysis    7. Mathematics / Mathematical Analysis    8. Operator Theory   

Subjects:  1. Functional Analysis    2. Geometry - Differential    3. Mathematics    4. Science/Mathematics    5. Surfaces, Representation of    6. Mathematics / Functional Analysis   

Subjects:  1. Mathematical Analysis    2. Mathematics    3. Theory Of Functions    4. Functional analysis    5. Integral equations   

Reviews (1)

Consider other books first
If you already know precalculus at the level of a college professor, this may be the book for you. Vital steps for completing problems are omitted, explanations are not given for processes that must be understood. Definitions of new terms are not given, forcing the student to reference another book or go to the web. ... Read more

Subjects:  1. Algebra - General    2. Functional Analysis    3. Functions    4. Mathematics    5. Science/Mathematics    6. Theory Of Functions   

Reviews (1)

Delicate Balance between the Two Subjects
This book was developed for a class taught at Rice University that covered both Functional Analysis and Probablity/Statistics. It required the development of this book that gives a good introduction to functional analysis for statisticians and an introduction to statistics for functional analysts.
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Subjects:  1. Functional Analysis    2. Mathematics    3. Probability & Statistics - General    4. Science/Mathematics    5. Mathematics / Differential Equations   

Reviews (8)

Excellent stand-alone text and/or supplement
An important method for solving differential equations, if you're taking a course in Laplace or general integral transforms, you should have a copy of this book. In it, you will find a concise, clear review of the theory, followed immediately by many problems with detailed solutions to real world problems.My students tell me this Schaum's made a positive difference in their understanding.
Laplace Transforms Explained in Plain English
This is a valuable reference to keep handy as a reminder about which transform methods best apply to various problems that you need to solve around the office.

It helped me through control systems
This book taught me both the basics and some of the finer points of LaPlace Transforms to get me past that hurdle so that I could begin focussing on the actual material presented in my BioControl Systems course.Many people got so caught up on the mathematics of LaPlace Transforms that they did not even get to the point where they could begin understanding control systems.I bought this book from Amazon at the beginning of the semester and it turned out to be a life-saver for me.I think that had I not sat down with this book for a weekend and taught myself LaPlace Transforms, I would have not passed that class.Read more

Subjects:  1. Calculus    2. Differential Equations    3. General    4. Mathematics    5. Science/Mathematics    6. Study Guides    7. Functional analysis    8. Mathematics / General    9. Mathematics for scientists & engineers   

Subjects:  1. Algebraic Geometry    2. Functional Analysis    3. Geometry - Algebraic    4. Mathematics    5. Number Theory    6. Science/Mathematics    7. Theory Of Functions    8. Mathematics / Number Theory   

Reviews (1)

Excellent collection of diverse examples
If you want a diverse collection of examples of the many different kinds of applications of the theory of Fourier series and Fourier integrals, you could hardly do better than this book.These include not only wave motionand heat flow (covered in every textbook), but also: the central limittheorem, the geometry of numbers, the isoperimetric problem, Heisenberg'sinequality, recurrence of random walks, quadratic reciprocity, and manyothers.Read more

Subjects:  1. Applied    2. General    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics    6. Functional analysis    7. Mathematics / General    8. Probability & statistics   

Subjects:  1. Advanced    2. Fourier Analysis    3. Functional Analysis    4. Harmonic Analysis    5. Infinity    6. Mathematical Analysis    7. Mathematics    8. Science/Mathematics    9. Mathematics / Advanced   

Subjects:  1. Differential Equations    2. Functional Analysis    3. Global analysis (Mathematics)    4. Manifolds (Mathematics)    5. Mathematics    6. Mensuration    7. Model Theory    8. Probability & Statistics - General    9. Science/Mathematics    10. Topology - General    11. Mathematics / Mathematical Analysis    12. Mathematics / Topology   

Subjects:  1. Calculus    2. Functional Analysis    3. Functions, Zeta    4. Mathematical Analysis    5. Mathematics    6. Number Theory    7. Science/Mathematics    8. Series    9. Theory Of Functions    10. Mathematics / Calculus    11. Mathematics / Number Theory    12. Mathematics-Mathematical Analysis    13. Mathematics-Number Theory   

Subjects:  1. Applied    2. Differential Equations    3. Functional Analysis    4. Mathematics    5. Problems, exercises, etc    6. Science/Mathematics    7. Applied mathematics    8. Geometry    9. Mathematics / Functional Analysis    10. Topology   

Reviews (6)

Journal of the Kentucky Medical Association
From the start I felt intimidated by the title and even with the mitigating suggestion that this would be practical, a guide, and for the clinician, the challenge was there. Throughout our training, in textbooks and journals, and in many lectures, we have to analyze the information put in front of us.Our background in basic statistics is typically primitive, and certainly could use some help in understanding what we read.This very readable and even interesting 200 plus page book really fills that need. With an introduction as much seductive as informative, Dr. Katz makes his way through his early chapters discussing common uses, outcome variables, types of regression and other basic definitions.He uses the question and answer format which lends itself to learning the information in a building block manner.He constructs the book with numerous examples, handy tables and graphs and very helpful side boxes filled with pithy hints for making progress through the book.Each chapter has a built in summary and completes the questions asked.The index is complete and very pointed, making the reader able to use the book not only to learn the subject, but to refer back to previous reading.This book had an enthusiastic first outing, and certainly this second edition is worth the price for a good reference.Journal of the Kentucky Medical Association, Vol 104 (8), 2006, p.395

Poor organization: But Brief and Well Written
I used this book for a class last year. I found the organization quite horrible. There are 3 main multivariate models that he discusses in the book: Multiple regression, logistic regression and Cox proportional hazards. He ignores ANCOVA, ANOVA and multi-level frequency table (chi-square) methods. It' a real pleasure!
This is one of the best books I have ever read about biostatistics. It takes you further -from the usually well known table statistics to the model statistics using a step by step approach. Without covering the overall field, it tries to fortell readers' questions and answers them in the most explicit way. It's a book to understand what is going on around journals and makes your steps easier once you decide to try your way to dive in your numbers. ... Read more

Subjects:  1. Biometry    2. Biostatistics    3. Medical    4. Medical / Nursing    5. Medicine    6. Multivariate analysis    7. Probability & Statistics - Multivariate Analysis    8. Research    9. Statistical methods    10. Complex analysis    11. Epidemiology & medical statistics    12. Functional analysis    13. Medical / Dentistry / General    14. Medicine--Research--Statistical methods    15. Probability & statistics   

Reviews (2)

The book is very good but it is not self contained
I enjoyed the last chapters of the book, that are relative to the applications: differential geometry, Fourier series, Fourier transform, differential equations.
another great book from Shilov
This is volume 2 of Shilov's Moscow University course on MathematicalAnalysis. If you have read Shilov's first volume ("Elementary Real andComplex Analysis") or his volume on Linear Algebra, then you canexpect more of the same clear explanation and thoughtful organization ofmaterials.His proofs are designed to help the reader understand materialand provide deep insight into the mathematics involved. Highly recommendedfor those who want a consise -- but very thorough -- introduction to theorybehind differential equations and Fourier analysis. ... Read more

Subjects:  1. Calculus    2. Functional analysis    3. Mathematics    4. Science/Mathematics    5. Mathematics / General    6. Science: General Issues   

Subjects:  1. Advanced    2. Algebra - General    3. Calculus    4. Mathematical Analysis    5. Mathematics    6. Number Theory    7. Representation Of Groups    8. Science/Mathematics    9. Theory Of Functions    10. Automorphic forms    11. Functional analysis    12. Mathematics / Number Theory   

Reviews (1)

Applied Functional Analysis and PDE
This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which PDEs require. This material is intended for second year graduate students of mathematics and is based on acourse taught at Michigan State University for a number of years. Thepurpose of the course, and of the book, is to give students a rapid andsolid research-oriented foundation in areas of PDEs, like semilinearparabolic equations, that include studies of the stability of fluid flowsand, more generally, of the dynamics generated by dissipative systems,numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics. ... Read more

Subjects:  1. Calculus    2. Differential Equations - Partial Differential Equations    3. Functional Analysis    4. Mathematical Analysis    5. Mathematics    6. Partial Differential Equations    7. Science/Mathematics    8. Applied mathematics    9. Differential equations   

Subjects:  1. General    2. Mathematical Analysis    3. Mathematics    4. Nonstandard mathematical analy    5. Nonstandard mathematical analysis    6. Science/Mathematics    7. Functional analysis    8. Mathematics / Mathematical Analysis   

Reviews (1)

An excellent treatment of mathematical methods for economist
The monograph covers advanced mathematical methods for economists. Itincludes chapters on general topology, topological vector spaces, Rieszspaces and Banach lattices, measure and integration, etc. While the bookdoes not contain (hardly) any economics, the mathematics coveredisselected under the aspect of later applications to economics. The bookcontains for example a long chapter on correspondences, a topic which ishardly covered by any standard math book. The presentation of themathematics is throughout clear and precise. The advantage of the book isthat it covers a wide range of mathematical topics, which could not befound together in a book before. Graduate students in economic theory canuse it as a text book, but it can also be used as a reference book. Theonly lacks of the book are that there are no exercises and that not allmath areas important to economics (e.g. differential topology) are covered.Overall, this is an excellent book and should become part of the library ofeverybody interestedin mathematical economics. ... Read more

Subjects:  1. Applied    2. Business & Economics    3. Combinatorics    4. Economics - General    5. Economics, Mathematical    6. Functional Analysis    7. Mathematical Analysis    8. Mathematical Economics    9. Mathematics    10. Science/Mathematics    11. Economic Theory    12. Finanzierungstheorie    13. Mathematics / Game Theory    14. Mathematische Analyse    15. Theory of Finance    16. Wirtschaftstheorie   

Subjects:  1. Advanced    2. Algebra - General    3. Geometry - Algebraic    4. Integral Operators    5. Mathematics    6. Science/Mathematics    7. Transformations    8. Functional analysis    9. Mathematics / Differential Equations