Collection:
Mathematics
10969 books
Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory - Hardcover
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by Edward B. Burger (Author), Robert Tubbs (Author)While the theory of transcendental numbers is a fundamental and important branch of number theory, most mathematicians know only its most elementary results. The aim of "Making Transcendence Transparent" is to provide the reader with an understanding of the basic principles and tools of transcendence theory and an intuitive framework within which the major results can be appreciated and their proofs can be understood. The book includes big pi...
Introduction to Hyperbolic Geometry - Paperback
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by Arlan Ramsay (Author), Robert D. Richtmyer (Author)This text for advanced undergraduates emphasizes the logical connections of the subject. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite.
Number of Pages: 289
Dimensions: 0.64 x 9.21 x 6.14 IN
Illustrated: Yes
Publication Date: December 16, 1995
Probability Theory II - Paperback
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by M. Loeve (Author)This book is intended as a text for graduate students and as a reference for workers in probability and statistics. The prerequisite is honest calculus. The material covered in Parts Two to Five inclusive requires about three to four semesters of graduate study. The introductory part may serve as a text for an undergraduate course in elementary probability theory. Numerous historical marks about results, methods, and the evolution of various fields are an intrinsic part of...
Classical Descriptive Set Theory - Hardcover
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by Alexander Kechris (Author)Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and cov...
Undergraduate Algebra - Hardcover
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by Serge Lang (Author)This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the hnear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of g...
Problems in Algebraic Number Theory - Hardcover
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by M. Ram Murty (Author), Esmonde (Author)This book is a collection of about 500 problems in algebraic number theory. They are systematically arranged to reveal the evolution of concepts and ideas of the subject. All of the problems are completely solved. Any student with the usual background of undergraduate algebra should be able to work through these problems on his/her own. For this new edition the authors added a new chapter and revised several sections.Back JacketFrom Reviews of the Fir...
Applied Functional Analysis: Main Principles and Their Applications - Hardcover
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by Eberhard Zeidler (Author)This textbook represents an elementary introduction into applied functional analysis addressed to researchers and beginning graduate students in mathematics, physics and engineering. This work consists of two volumes.
Number of Pages: 406
Dimensions: 1.16 x 9.12 x 6.94 IN
Illustrated: Yes
Publication Date: August 30, 1995
The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra - Hardcover
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by David Eisenbud (Author)Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical c...
Geometric Control of Simple Mechanical Systems: Modeling, Analysis, and Design for Simple Mechanical Control Systems - Hardcover
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by Francesco Bullo (Author), Andrew D. Lewis (Author) The primary emphasis of this book is the modeling, analysis, and control of mechanical systems. The methods and results presented can be applied to a large class of mechanical control systems, including applications in robotics, autonomous vehicle control, and multi-body systems. The book is unique in that it presents a unified, rather than an inclusive, treatment of control theory for mechanical systems. A distinctive feature of the pres...
Why Math? - Paperback
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by R. D. Driver (Author)This text aims to show that mathematics is useful to virtually everyone. And it seeks to accomplish this by offering the reader plenty of practice in elementary mathematical computations motivated by real-world problems. The prerequisite for this book is a little algebra and geometry-nothing more than entrance requirements at most colleges. I hope that users-especially those who "don't like math"-will complete the course with greater confidence in their ability to solv...
Applied Functional Analysis: Applications to Mathematical Physics - Hardcover
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by Eberhard Zeidler (Author)This book represents an elementary introduction into applied functional analysis addressed to beginning graduate students in mathematics, physics and engineering. The book may also be utilized as a reference book. This work consists of two volumes
Number of Pages: 481
Dimensions: 1.31 x 9.54 x 6.38 IN
Illustrated: Yes
Publication Date: June 23, 1995
Functions of One Complex Variable II - Hardcover
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by John B. Conway (Author)This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat- ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course ...
Groups and Representations - Hardcover
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by J. L. Alperin (Author), Rowen B. Bell (Author)1. Rudiments of Group Theory.- 1. Review.- 2. Automorphisms.- 3. Group Actions.- 2. The General Linear Group.- 4. Basic Structure.- 5. Parabolic Subgroups.- 6. The Special Linear Group.- 3. Local Structure.- 7. Sylow's Theorem.- 8. Finite p-groups.- 9. The Schur-Zassenhaus Theorem.- 4. Normal Structure.- 10. Composition Series.- 11. Solvable Groups.- 5. Semisimple Algebras.- 12. Modules and Representations.- 13. Wedderburn Theory.- 6. Group Rep...
Mathematical Analysis: An Introduction - Hardcover
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by Andrew Browder (Author)This is a textbook suitable for a year-long course in analysis at the advanced undergraduate or beginning graduate level. It is intended for students with a strong background in calculus and linear algebra. The topics covered in this course are the calculus of functions of one variable, an introduction to general topology, the general theory of integration, and the calculus, differential and integral, for functions of several variables.Back JacketMathematical Analysi...
Modular Forms and Fermat's Last Theorem - Hardcover
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by Gary Cornell (Author), Glenn Stevens (Author), Joseph H. Silverman (Author)I An Overview of the Proof of Fermat's Last Theorem.- II A Survey of the Arithmetic Theory of Elliptic Curves.- III Modular Curves, Hecke Correspondences, and L-Functions.- IV Galois Coharnology.- V Finite Flat Group Schemes.- VI Three Lectures on the Modularity of % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu...
Groups and Representations - Paperback
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by J. L. Alperin (Author), Rowen B. Bell (Author)The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book will enable graduate students from every mathematical field, as well as strong undergraduates with an interest in algebra, to solidify their knowledge of group theory. The ...
The Fundamental Theorem of Algebra - Hardcover
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by Benjamin Fine (Author), Gerhard Rosenberger (Author)The purpose of this book is to examine three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. It is ideal for a "capstone" course in mathematics for junior/senior level undergraduate mathematics students or first year graduate students. It could also be used as an alternative approach to an undergraduate abstract algebra course.
Number of Pages: 210
Dimensions: 0.63...
Shortest Connectivity: An Introduction with Applications in Phylogeny - Hardcover
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by Dietmar Cieslik (Author)The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.Back JacketThe problem of "Shortest Connectivity" has a long and convoluted history: given a finite set of points in a metric space, search for a network that connects these points with the sh...
The Universe in a Handkerchief: Lewis Carroll's Mathematical Recreations, Games, Puzzles, and Word Plays - Hardcover
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by Martin Gardner (Author)This fascinating book takes the reader on a tour of Lewis Carrolls world of mathematical games and word plays. The Universe in a Handkerchief contains scores of Carrolls inventions, illustrating the genius and unique humor that ensured his permanent place in both classic literature and mathematics. "should be received with great enthusiasm by all those who share Gardners fascination with the author of Aliceenjoyable to read and an important addition to the large body...
Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course - Hardcover
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by Daniel R. Lynch (Author)This book concerns the practical solution of Partial Differential Equations. We assume the reader knows what a PDE is - that he or she has derived some, and solved them with the limited but powerful arsenal of analytic techniques. We also assume that (s)he has gained some intuitive knowledge of their solution properties, either in the context of specific applications, or in the more abstract context of applied mathematics. We assume the reader now wants to solve PDE...
Chaos: An Introduction to Dynamical Systems - Paperback
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by Kathleen T. Alligood (Author), Tim D. Sauer (Author), James A. Yorke (Author)Spanning the wide reach of nonlinear dynamics throughout mathematics and the natural and physical sciences, Chaos: An Introduction to Dynamical Systems develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Among the major topics included are discrete dynamical systems, chaos, fractals, nonlinear differential equations, and bifurcations.
Number of Pa...
The Algorithmic Beauty of Plants - Paperback
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by Przemyslaw Prusinkiewicz (Author), J. S. Hanan (Other), F. D. Fracchia (Other)The beauty of plants has attracted the attention of mathematicians for Mathematics centuries. Conspicuous geometric features such as the bilateral sym- and beauty metry of leaves, the rotational symmetry of flowers, and the helical arrangements of scales in pine cones have been studied most exten- sively. This focus is reflected in a quotation from Weyl [159, page 3], "Beauty is bound up with symmetry. " This boo...
Introduction to Coding and Information Theory - Hardcover
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by Steven Roman (Author)This book is an introduction to coding theory and information theory for undergraduate students of mathematics and computer science. Among the topics it discusses are: a review of probablity theory; the efficiency of codes, the capacity of communications channels, coding and decoding in the presence of errors, the general theory of linear codes, and examples of specific codes used in ordinalry communications as wwell as cryptography.Back JacketThis book is an introduct...
Field and Galois Theory - Hardcover
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by Patrick Morandi (Author)In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made t...
Combinatorial Convexity and Algebraic Geometry - Hardcover
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by Günter Ewald (Author)The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. Chapters I-IV provide a self-contained introduction to the theory of convex poly- topes and polyhedral sets and can be used independently of any applications to algebraic...
Winning Solutions - Paperback
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by Edward Lozansky (Author), Cecil Rousseau (Author)Problem-solving competitions for mathematically talented sec- ondary school students have burgeoned in recent years. The number of countries taking part in the International Mathematical Olympiad (IMO) has increased dramatically. In the United States, potential IMO team members are identified through the USA Mathematical Olympiad (USAMO), and most other participating countries use a similar selection procedure. Thus the number of such compet...
Introduction to Cyclotomic Fields - Hardcover
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by Lawrence C. Washington (Author)Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a ...
An Introduction to Homological Algebra - Paperback
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by Joseph J. Rotman (Author)Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and, often, this involves yet another language: spectral sequences. This book gives a treatment of homological algebra which motivates the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and...
Stochastic Calculus for Finance I: The Binomial Asset Pricing Model - Paperback
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by Steven Shreve (Author)This book evolved from the first ten years of the Carnegie Mellon professional Master's program in Computational Finance. The contents of the book have been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The author does not assume familiarity with advanced mathematical concepts from measure-theoretic probability, but rather develops the necessary tools from this subject informally within the text. Many...
Undergraduate Analysis - Hardcover
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by Serge Lang (Author)This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.
Number of Pages: 642
Dimensions: 1.35 x 9.49 x 6.32 IN
Illustrated: Yes
Publication Date: December 05, 1996
The Universe in a Handkerchief: Lewis Carroll's Mathematical Recreations, Games, Puzzles, and Word Plays - Paperback
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by Martin Gardner (Author)This fascinating book takes the reader on a tour of Lewis Carrolls world of mathematical games and word plays. The Universe in a Handkerchief contains scores of Carrolls inventions, illustrating the genius and unique humor that ensured his permanent place in both classic literature and mathematics. "should be received with great enthusiasm by all those who share Gardners fascination with the author of Aliceenjoyable to read and an important addition to the large body...
Fantasia Mathematica - Paperback
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by Clifton Fadiman (Editor)Clifton Fadiman's classic collection of mathematical stories, essays and anecdotes is now back in print. Humorous, mysterious, always entertaining selections by Aldous Huxley, H.G. Wells, Martin Gardner, Robert Heinlein, Arthur C. Clarke, and many others.
Number of Pages: 298
Dimensions: 0.94 x 9.26 x 6.16 IN
Illustrated: Yes
Publication Date: April 01, 1997
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