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The Concise Handbook of Algebra

The Concise Handbook of Algebra
Author: Alexander V. Mikhalev
Publisher: Springer Science & Business Media
Total Pages: 629
Release: 2013-06-29
Genre: Mathematics
ISBN: 9401732671

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It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.


The Concise Handbook of Algebra

The Concise Handbook of Algebra
Author: Alexander Mikhalev
Publisher: Springer
Total Pages:
Release: 2012-09-01
Genre: Mathematics
ISBN: 9781402006364

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A Concise Handbook of Mathematics, Physics, and Engineering Sciences

A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1080
Release: 2010-10-18
Genre: Mathematics
ISBN: 1439806403

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A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students


Concise Handbook of Mathematics and Physics

Concise Handbook of Mathematics and Physics
Author: Alexander G. Alenitsyn
Publisher: CRC Press
Total Pages: 521
Release: 2020-12-17
Genre: Mathematics
ISBN: 1000122824

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Concise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics. This complete text/reference includes definitions of fundamental notations and physical and mathematical quantities, formulas that express the laws of physics, axioms and theorems of mathematics, and more. The information is organized logically (instead of alphabetically) for better comprehension and quick, convenient access. The book contains extensive cross-referencing between the mathematical and physical sections. reflecting the considerable overlap between these two areas of study and increasing the usefulness of this handbook. Fundamental concepts, theorems, and laws are demonstrated through numerous practical examples and tasks to help build problem-solving skills.


A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology
Author: J. P. May
Publisher: University of Chicago Press
Total Pages: 262
Release: 1999-09
Genre: Mathematics
ISBN: 9780226511832

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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.


A Concise Handbook of Mathematics, Physics, and Engineering Sciences

A Concise Handbook of Mathematics, Physics, and Engineering Sciences
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1125
Release: 2010-10-18
Genre: Mathematics
ISBN: 9781439806395

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A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.


Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1542
Release: 2006-11-27
Genre: Mathematics
ISBN: 1420010514

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Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.


A Concise Handbook of Mathematics

A Concise Handbook of Mathematics
Author: I. N. Bronstein
Publisher:
Total Pages: 309
Release: 1968
Genre:
ISBN:

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Seventh in a series of German editions of Spravochnik po matematike, the first of which was based on the Russian Sixth Edition in 1958, this work is designed to serve as a field reference in aid of student and practicing engineers and others who encounter the need to perform numerical calculations. The subject matter in volume one is organized as follows: Part I, Tables; Part II, Elementary Mathematics (chapters on approximate calculations, algebra, geometry, trigonometry); Part III, Analytical and Differential Geometry; Part IV, Fundamentals of Analysis, including differential equations.


Computer Algebra Handbook

Computer Algebra Handbook
Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
Total Pages: 656
Release: 2012-12-06
Genre: Computers
ISBN: 3642558267

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This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.


Mathematical Handbook for Scientists and Engineers

Mathematical Handbook for Scientists and Engineers
Author: Granino A. Korn
Publisher: Courier Corporation
Total Pages: 1154
Release: 2013-04-26
Genre: Technology & Engineering
ISBN: 0486320235

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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.