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Geometry & Topology


Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications)

Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications) Lowest new price: $73.69
Lowest used price: $95.85
List price: $227.00
Author: R. B. Paris
Brand: Brand: Cambridge University Press

Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics. After developing the properties of these integrals, their use in determining the asymptotic behavior of special functions is detailed. Although such integrals have a long history, the book's account includes recent research results in analytic number theory and hyperasymptotics. The book also fills a gap in the literature on asymptotic analysis and special functions by providing a thorough account of the use of Mellin-Barnes integrals that is otherwise not available in standard references on asymptotics.

Features:

  • Used Book in Good Condition


Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves (v. 1) (English and French Edition)

Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves (v. 1) (English and French Edition) Lowest new price: $157.57
Lowest used price: $103.00
List price: $191.00
Author: Denis Serre
Brand: Brand: Cambridge University Press

Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self contained, with large numbers of exercises and full discussion of all the ideas. This makes it an ideal text for graduate courses in the area of partial differential equations.

Features:

  • Used Book in Good Condition


Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems

Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems Lowest new price: $88.83
Lowest used price: $104.77
List price: $227.00
Author: Denis Serre
Brand: I N Sneddon

Systems of conservation laws arise naturally in physics and chemistry. Continuing where the previous volume left off, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. The author applies this tool to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss-Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

Features:

  • Systems of conservation laws


Midiendo en la Exposicion de Perros (Las Matematicas En Nuestro Mundo/Math in Our World) (Spanish Edition)

Midiendo en la Exposicion de Perros (Las Matematicas En Nuestro Mundo/Math in Our World) (Spanish Edition) Lowest new price: $21.71
Lowest used price: $17.38
List price: $23.00
Author: Amy Rauen

Key features:
- Native language instruction in a core content area
- Topics correlated to the first grade math curriculum
- Text reviewed by a math curriculum consultant and a reading consultant
- Engaging full-color photographs and illustrations that support the text and aid comprehension
- Examples that relate math to real-world situations
Special Features:
- Photographs that support the text and build math skills
- Glossary


The Geocubic Matrix: Flashing in the Universe, and the Cosmos of Energy-Matter Caught in Its Time-Flow

The Geocubic Matrix: Flashing in the Universe, and the Cosmos of Energy-Matter Caught in Its Time-Flow Lowest used price: $8.90
List price: $10.95
Author: T. Byron

All of the characteristics of atoms, molecules, and crystals are explained under one unification model, in a revolutionary "Theory-of -Everything", which for the first time accounts for the 4 basic forces of the Universe, those being the Strong Atomic Force, Weak Atomic Force, Gravity, and Electromagnitism.


Dinosaur Shapes

Dinosaur Shapes Lowest new price: $81.98
Lowest used price: $0.10
List price: $5.95
Author: Paul Stickland
Brand: Sterling Publishing

Who is on the biggest square? How many circles are there? How many sides does a rectangle have? Toddlers will love learning about shapes with the cutest, friendliest dinosaur family ever! The colorful creatures put on a happy show as they play with everything from triangles to ovals, diamonds, and stars.

Each spread features the labeled shape on the left side, and the dinos interacting with it on the right—along with a fun question about each one. 

 

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Complex Analysis

Complex Analysis Lowest new price: $97.16
Lowest used price: $49.99
List price: $121.00
Author: Ian Stewart
Brand: Brand: Cambridge University Press

This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

Features:

  • Used Book in Good Condition

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Helaman Ferguson: Mathematics in Stone and Bronze

Helaman Ferguson: Mathematics in Stone and Bronze Lowest new price: $50.00
Lowest used price: $4.00
List price: $29.95
Author: Claire Ferguson
Brand: Brand: Meridian Creative Group

Helaman Ferguson is a sculptor who works in stone and bronze. He also holds a Ph.D. in mathematics. Although Helamans sculptures are mathematically-based, they are organic, textural, and mysterious. This dramatically photographed book has won several awards including an OZZIE and a National Gold Ink Award.

Features:

  • Used Book in Good Condition


Inequalities from Complex Analysis (Carus Mathematical Monographs)

Inequalities from Complex Analysis (Carus Mathematical Monographs) Lowest new price: $32.95
Lowest used price: $25.25
List price: $72.95
Author: John P. D'Angelo
Brand: Brand: The Mathematical Association of America

Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author begins by defining the complex number field; he gives a novel presentation of some standard mathematical analysis in the early chapters. The development culminates with some results from recent research literature. The book provides complete yet comprehensible proofs as well as some surprising consequences of the results. One unifying theme is a complex variables analogue of Hilbert's seventeenth problem. Numerous examples, exercises and discussions of geometric reasoning aid the reader. The book is accessible to undergraduate mathematicians, as well as physicists and engineers.

Features:

  • Used Book in Good Condition


Numbers and Functions: Steps to Analysis

Numbers and Functions: Steps to Analysis Lowest new price: $24.01
Lowest used price: $5.22
List price: $35.00
Author: R. P. Burn
Brand: Brand: Cambridge University Press

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this book, Dr Burn follows a route that proved successful with A Pathway to Number Theory and Groups: A Path to Geometry. He invites the student reader to tackle each of the key concepts in turn, progressing from experience (using computers for graph drawing where appropriate) through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed by historical insight and complemented by historical discussion. The sequence also takes into account recent research which has shown how intuitive ideas about numbers, limits, functions and infinity may be at odds with the standard definitions. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties. Teachers in sixth forms will find that questions at the beginning of every chapter provide ways of preparing those at school for university mathematics. Lecturers in universities will be challenged to rethink their conventions about the best way to introduce the central ideas of analysis to undergraduates.

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  • Used Book in Good Condition

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