all the mathematics you missed but need to know for graduate school

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All The Mathematics You Missed

Author : Thomas A. Garrity
ISBN : 7302090858
Genre : Mathematics
File Size : 54. 23 MB
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Author : Serge Lang
ISBN : 3540966544
Genre : Geometrie
File Size : 49. 43 MB
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Wavefronts And Rays As Characteristics And Asymptotics

Author : Andrej Bóna
ISBN : 9789814651554
Genre : Science
File Size : 34. 39 MB
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This textbook — incorporated with many illuminating examples and exercises — is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors' emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation — by a pure mathematician's standards — is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and phenomena such as caustics.

Algebra Geometry

Author : Mark V. Lawson
ISBN : 9781482246483
Genre : Mathematics
File Size : 62. 49 MB
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Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra

Groups And Characters

Author : Victor E Hill
ISBN : 1584880384
Genre : Mathematics
File Size : 66. 74 MB
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Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters. Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.


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ISBN : UOM:39076002527005
Genre : Mathematics
File Size : 63. 64 MB
Format : PDF
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Electricity And Magnetism For Mathematicians

Author : Thomas A. Garrity
ISBN : 9781107078208
Genre : Mathematics
File Size : 84. 35 MB
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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

The Incompleteness Phenomenon

Author : Martin Goldstern
ISBN : 1568810938
Genre : Mathematics
File Size : 63. 60 MB
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The authors have written an introduction to logic taking Gödel's incompleteness theorem as a starting point. The book should interest everyone from mathematicians to philosophers and readers who wish to understand the foundations and limitations of rational thinking. It is used as a textbook at major colleges and universities but lends itself to self-study as well.

American Book Publishing Record

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ISBN : STANFORD:36105111052903
Genre : Books
File Size : 83. 12 MB
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Books In Print

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ISBN : UOM:39015062097749
Genre : American literature
File Size : 40. 46 MB
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

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