Principles of Mathematics

  • Filename: principles-of-mathematics.
  • ISBN: 9781119131656
  • Release Date: 2015-11-30
  • Number of pages: 672
  • Author: Vladimir Lepetic
  • Publisher: John Wiley & Sons

Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.

3D Math Primer for Graphics and Game Development 2nd Edition

  • Filename: 3d-math-primer-for-graphics-and-game-development-2nd-edition.
  • ISBN: 9781568817231
  • Release Date: 2011-11-02
  • Number of pages: 846
  • Author: Fletcher Dunn
  • Publisher: CRC Press

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

Principles of Mathematical Analysis

  • Filename: principles-of-mathematical-analysis.
  • ISBN: 0070856133
  • Release Date: 1976
  • Number of pages: 342
  • Author: Walter Rudin
  • Publisher: McGraw-Hill Publishing Company

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Principles of Mathematical Modeling

  • Filename: principles-of-mathematical-modeling.
  • ISBN: 0122265513
  • Release Date: 2004
  • Number of pages: 303
  • Author: Clive L. Dym
  • Publisher: Academic Press

This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).

Quantum Mechanics and Quantum Field Theory

  • Filename: quantum-mechanics-and-quantum-field-theory.
  • ISBN: 9781139497480
  • Release Date: 2011-02-03
  • Number of pages:
  • Author: Jonathan Dimock
  • Publisher: Cambridge University Press

Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Mathematical Modeling of Earth s Dynamical Systems

  • Filename: mathematical-modeling-of-earth-s-dynamical-systems.
  • ISBN: 9781400839117
  • Release Date: 2011-03-28
  • Number of pages: 248
  • Author: Rudy Slingerland
  • Publisher: Princeton University Press

Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to:

A Primer of Ecology

  • Filename: a-primer-of-ecology.
  • ISBN: 0878932739
  • Release Date: 2001-01-01
  • Number of pages: 265
  • Author: Nicholas J. Gotelli
  • Publisher: Sinauer Associates Incorporated

Exponential population growth. Logistic population growth.Age-structured population growth. Metapopulation dynamics. Competition. Predation. Island biogeography. Succession.

Multiple Regression

  • Filename: multiple-regression.
  • ISBN: 0761985336
  • Release Date: 1999
  • Number of pages: 202
  • Author: Paul D. Allison
  • Publisher: Pine Forge Press

Multiple regression is at the heart of social science data analysis, because it deals with explanations and correlations. This book is a complete introduction to this statistical method. This textbook is designed for the first social statistics course a student takes and, unlike other titles aimed at a higher level, has been specifically written with the undergraduate student in mind.

A Primer on Scientific Programming with Python

  • Filename: a-primer-on-scientific-programming-with-python.
  • ISBN: 9783662498873
  • Release Date: 2016-07-28
  • Number of pages: 922
  • Author: Hans Petter Langtangen
  • Publisher: Springer

The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen ... does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. ... Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.” John D. Cook, The Mathematical Association of America, September 2011 This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012 “This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python...” Joan Horvath, Computing Reviews, March 2015

Principles of Statistics

  • Filename: principles-of-statistics.
  • ISBN: 0486637603
  • Release Date: 1979
  • Number of pages: 252
  • Author: M. G. Bulmer
  • Publisher: Courier Corporation

Concise description of classical statistics, from basic dice probabilities to modern regression analysis. Equal stress on theory and applications. Moderate difficulty; only basic calculus required. Includes problems with answers.

A Primer of Abstract Algebra

  • Filename: a-primer-of-abstract-algebra.
  • ISBN: 0883857081
  • Release Date: 1998-09-10
  • Number of pages: 181
  • Author: Robert B. Ash
  • Publisher: Cambridge University Press

A textbook in abstract algebra for those unused to more formal accounts.

Principles of Financial Engineering

  • Filename: principles-of-financial-engineering.
  • ISBN: 9780125153942
  • Release Date: 2004
  • Number of pages: 556
  • Author: Salih N. Neftci
  • Publisher: Academic Press

Bestselling author Salih Neftci presents a fresh, original, informative, and up-to-date introduction to financial engineering. The book offers clear links between intuition and underlying mathematics and an outstanding mixture of market insights and mathematical materials. Also included are end-of-chapter exercises and case studies. In a market characterized by the existence of large pools of liquid funds willing to go anywhere, anytime in search of a few points of advantage, there are new risks. Lacking experience with these new risks, firms, governmental entities, and other investors have been surprised by unexpected and often disastrous financial losses. Managers and analysts seeking to employ these new instruments and strategies to make pricing, hedging, trading, and portfolio management decisions require a mature understanding of theoretical finance and sophisticated mathematical and computer modeling skills. Important and useful because it analyzes financial assets and derivatives from the financial engineering perspective, this book offers a different approach than the existing finance literature in financial asset and derivative analysis. Seeking not to introduce financial instruments but instead to describe the methods of synthetically creating assets in static and in dynamic environments and to show how to use them, his book complements all currently available textbooks. It emphasizes developing methods that can be used in order to solve risk management, taxation, regulation, and above all, pricing problems. This perspective forms the basis of practical risk management. It will be useful for anyone learning about practical elements of financial engineering. * Exercises and case studies at end of each chapter and on-line Solutions Manual provided * Explains issues involved in day-to-day life of traders, using language other than mathematics * Careful and concise analysis of the LIBOR market model and of volatility engineering problems

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