Download Mathematical Asset Management

Mathematical Asset Management

A practical approach to the mathematical tools needed to increase portfolio growth, learn successful trading strategies, and manage the risks associated with market fluctuation.

Mathematical Asset Management presents an accessible and practical introduction to financial derivatives and portfolio selection while also acting as a basis for further study in mathematical finance.

To further demonstrate the reality of the discussed concepts, the author analyzes five active stocks over a four-year period and highlights the different methods and portfolios that exist in today's economic world. Exercises are also provided throughout the text, along with the solutions, allowing readers to measure their understanding of presented techniques as well as see how the methods work in real life.

Mathematical Asset Management is an excellent book for courses in mathematical finance, actuarial mathematics, financial derivatives, and financial engineering at the upper-undergraduate and graduate levels. It is also a valuable reference for practitioners in banking, insurance, and asset management industries.

Thursday, April 19, 2012 | 0 comments | Read More

Download Fundamentals of Actuarial Mathematics

Fundamentals of Actuarial Mathematics

This book provides a comprehensive introduction to actuarial mathematics, covering both deterministic and stochastic models of life contingencies, as well as more advanced topics such as risk theory, credibility theory and multi-state models.

This new edition includes additional material on credibility theory, continuous time multi-state models, more complex types of contingent insurances, flexible contracts such as universal life, the risk measures VaR and TVaR.

Key Features:

• Covers much of the syllabus material on the modeling examinations of the Society of Actuaries, Canadian Institute of Actuaries and the Casualty Actuarial Society. (SOA-CIA exams MLC and C, CSA exams 3L and 4.)
• Extensively revised and updated with new material.
• Orders the topics specifically to facilitate learning.
• Provides a streamlined approach to actuarial notation.
• Employs modern computational methods.
• Contains a variety of exercises, both computational and theoretical, together with answers, enabling use for self-study.

An ideal text for students planning for a professional career as actuaries, providing a solid preparation for the modeling examinations of the major North American actuarial associations. Furthermore, this book is highly suitable reference for those wanting a sound introduction to the subject, and for those working in insurance, annuities and pensions.

Thursday, April 19, 2012 | 0 comments | Read More

Download The Mathematics of Infinity: A Guide to Great Ideas

The Mathematics of Infinity

Praise for the First Edition

". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews

". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice

The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.

Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world.

Thursday, April 19, 2012 | 0 comments | Read More

Download Ordinary Differential Equations

Ordinary Differential Equations

Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory.

Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes:

• First-Order Differential Equations
• Higher-Order Linear Equations
• Applications of Higher-Order Linear Equations
• Systems of Linear Differential Equations
• Laplace Transform
• Series Solutions
• Systems of Nonlinear Differential Equations

In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers.

Thursday, April 19, 2012 | 0 comments | Read More

Download : Basic Engineering Mathematics, Fifth Edition

Basic Engineering Mathematics

Unlike most engineering maths texts, this book does not assume a firm grasp of GCSE maths, and unlike low-level general maths texts, the content is tailored specifically to the needs of engineers. The result is a unique book written for engineering students that takes a starting point below GCSE level. Basic Engineering Mathematics is therefore ideal for students of a wide range of abilities, especially for those who find the theoretical side of mathematics difficult.

Now in its fifth edition, Basic Engineering Mathematics is an established textbook, with the previous edition selling nearly 7500 copies. All students that require a fundamental knowledge of mathematics for engineering will find this book essential reading. The content has been designed primarily to meet the needs of students studying Level 2 courses, including GCSE Engineering, the Diploma, and the BTEC First specifications. Level 3 students will also find this text to be a useful resource for getting to grips with essential mathematics concepts, because the compulsory topics in BTEC National and A Level Engineering courses are also addressed.

Numerous worked examples supported by 600 worked problems and 1050 further problems within exercises included throughout the text. Additionally, there are 15 assignments included at regular intervals.

Free instructor's manual available for download, which includes solutions to assignments.

Basic Engineering Mathematics is an excellent book for review or for those looking for a very well organized and step by step instruction in engineering math. The book is very easy to read through and can definitely be used as a supplement resource too. With that said, there is one flaw; The answer key possesses several incorrect answers here and there. I have broken down each problem as far as it could go to verify and I have had several engineers do the incorrect problems only to reach the same answer I reached. While unseemly, it does force you to look closely at every problem to make sure it is solved correctly.

Download : Basic Engineering Mathematics, Fifth Edition

Saturday, March 24, 2012 | 0 comments | Read More

Download : Engineering Mathematics, Sixth Edition

Engineering Mathematics

Mathematics is a key element in determining success for the Edexcel BTEC National Engineering courses. Updated for the 2010 BTEC Nationals in Engineering syllabus, Engineering Mathematics, 6e by John Bird covers the main elements of mathematics in the core, mechanical and Electrical/ Electronic Units. There are currently over 13,000 BTEC National Engineering students in the UK.

Theory is introduced in each chapter by a simple outline of essential definitions, formulae, laws and procedures. This new, sixth edition will also be supported with online tutor support materials. These include an Instructors Guide which will give full solutions and marking schemes for each of the Revision Tests contained in the text. 

Updated for the 2010 BTEC Nationals in Engineering syllabus . This book contains thousands of worked examples and revision tests . Supported with online tutor support materials, including an instructors guide and editable PowerPoint Presentation slides

Mathematics is a key element in determining success for the Edexcel BTEC National Engineering courses. Updated for the 2010 BTEC Nationals in Engineering syllabus, Engineering Mathematics, 6e by John Bird covers the main elements of mathematics in the core, mechanical and Electrical/ Electronic Units. There are currently over 13,000 BTEC National Engineering students in the UK. 

Theory is introduced in each chapter by a simple outline of essential definitions, formulae, laws and procedures. This new, sixth edition will also be supported with online tutor support materials. These include an Instructors Guide which will give full solutions and marking schemes for each of the Revision Tests contained in the text.

Download : Engineering Mathematics, Sixth Edition

Saturday, March 24, 2012 | 0 comments | Read More

Download : Higher Engineering Mathematics

Higher Engineering Mathematics

John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, foundation degrees, and HNC/D units.

Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. It has been updated to maximise the book's suitability for first year engineering degree students and those following foundation degrees. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and two specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical/electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included that shows precisely which topics are required for the learning outcomes of each unit.

Download : Higher Engineering Mathematics 

Saturday, March 24, 2012 | 0 comments | Read More

Download : Mathematical Methods for Physicists

Buy This Book

My instructor chose Arfken as the text for our Mathematical Physics class. He has a high opinion of the book, although he did not require it to be read and did not assign any of the exercises. Rather than using Arfken, most of the students in my class used various mathematics and physics books from the university library.

My opinion of Arfken is that it is so condensed that it is not understandable to undergraduates. You need to consult other texts extensively to fill in the gaps. For example, Arfken develops tensor analysis on pages 126 thru 130, 5 pages total. My copy of Applications of Tensor Analysis by McConnell does the same on it's first 171 pages. I hesitate to say that Arfken is useless, but you can draw your own conclusion from my last example.

Arfken is so abbreviated that it is not useful to the undergraduate as a reference either, in my opinion. Perhaps it is useful to persons who are familiar with the subject matter in advance, I am not sure. Were one or a group of people to flush this book out it might be more useful, but it would no doubt become many volumes.

Thursday, March 15, 2012 | 0 comments | Read More

Download : Introduction to Fourier Optics

Buy This Book

Joseph W. Goodman held the William Ayer Chair in Electrical Engineering at Stanford, and also served in several administrative posts, including Chair of the Department of Electrical Engineering, and Senior Associate Dean of Engineering for Faculty Affairs. He is now the William Ayer Professor Emeritus.

His work has been recognized by a variety of awards and honors, including the F.E. Terman Award of the American Society for Engineering Education, the Dennis Gabor Award of the International Society for Optical Engineering (SPIE), the Max Born Award, the Esther Beller Hoffman Award, the Ives Medal from the Optical Society of America, and the Education Medal of the Institute of Electrical and Electronics Engineers. He is a member of the National Academy of Engineering and has served as president of the Optical Society of America and the International Commission for Optics.

Joe Goodman is rightly famous for his clear writing, teaching and thinking. I especially appreciate the clear boundaries that he draws around the segments of his subject: it is clear what is known & unknown, what is easy & what is hard. This book is worth having and studying as an example of how to write a textbook, not only for its subject matter.

Thursday, March 15, 2012 | 0 comments | Read More

Free Download | Variational Methods in Imaging (Applied Mathematical Sciences) | Otmar Scherzer

This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view.
Key Features:

• Introduces variational methods with motivation from the deterministic, geometric, and stochastic point of view
• Bridges the gap between regularization theory in image analysis and in inverse problems
• Presents case examples in imaging to illustrate the use of variational methods e.g. denoising, thermoacoustics, computerized tomography
• Discusses link between non-convex calculus of variations, morphological analysis, and level set methods
• Analyses variational methods containing classical analysis of variational methods, modern analysis such as G-norm properties, and non-convex calculus of variations
• Uses numerical examples to enhance the theory

This book is geared towards graduate students and researchers in applied mathematics. It can serve as a main text for graduate courses in image processing and inverse problems or as a supplemental text for courses on regularization. Researchers and computer scientists in the area of imaging science will also find this book useful.

Monday, December 12, 2011 | 0 comments | Read More

Free Download | Differential Equations on Fractals: A Tutorial | Robert S. Strichartz

Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Strichartz takes the reader to the frontiers of research, starting with carefully motivated examples and constructions.

One of the great accomplishments of geometric analysis in the nineteenth and twentieth centuries was the development of the theory of Laplacians on smooth manifolds. But what happens when the underlying space is rough? Fractals provide models of rough spaces that nevertheless have a strong structure, specifically self-similarity. Exploiting this structure, researchers in probability theory in the 1980s were able to prove the existence of Brownian motion, and therefore of a Laplacian, on certain fractals. An explicit analytic construction was provided in 1989 by Jun Kigami. Differential Equations on Fractals explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered.

Sunday, December 11, 2011 | 0 comments | Read More

Free Download | An Introduction to Ordinary Differential Equations (Cambridge University Press ) | James C. Robinson

This introduction to ordinary differential and difference equations is suited not only for mathematicians but for scientists and engineers as well. Exact solutions methods and qualitative approaches are covered, and many illustrative examples are included. Matlab is used to generate graphical representations of solutions. Numerous exercises are featured and proved solutions are available for teachers. 

My complaints are:
1.) Robinson skimps a lot on theory, this would be fine for an applications book, but he tends to go light on the applictations too...

2.) The excercises are simple, unchallenging, sometimes tedious, and often extremely repetitious. Also, there are only about 5 problems per section.

3.) The book does not use enough concepts from analysis, complex analysis, or linear algebra. There's a section devoted to matrix methods of solving linear ODE's, but if you've already had some analysis/lin alg. this book will probably be unsatisfying.

Conclusions: If your a applied math/math/physics major, this book's probably a little short on rigor. If your an engineering major and/or are not very interested in a rigorous development of the subject, this book's probably not too bad (but there's definitely better out there).

Monday, December 05, 2011 | 0 comments | Read More

Free Download | Glencoe Algebra 1, Student Edition | Berchie Holliday, McGraw-Hill

A flexible program with the solid content students needGlencoe Algebra 1 strengthens student understanding and provides the tools students need to succeedfrom the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests. 

Sunday, December 04, 2011 | 0 comments | Read More

Free Download | Fast Transforms Algorithms, Analyses, Applications | Douglas F. Elliott, K. Ramamohan Rao

This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. 

Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.

Sunday, December 04, 2011 | 0 comments | Read More

Free Download | A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics) | Arieh Iserles

This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. 

In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. 

The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics. 

Saturday, November 26, 2011 | 0 comments | Read More

Free Download | Mathematical and Statistical Methods for Actuarial Sciences and Finance

The interaction between mathematicians and statisticians reveals to be an effective approach for dealing with actuarial, insurance and financial problems, both in an academic and in an operative perspective. The international conference MAF 2008, held at the University Ca Foscari of Venezia (Italy) in 2008, had precisely this purpose, and the collection here published gathers a selection of about the one hundred papers presented at the conference and successively referred and reviewed to this aim. 

They cover a wide variety of subjects in actuarial, insurance and financial fields, all treated in light of the successful cooperation between the two quantitative approaches. The subjects considered in the book are: mathematical models for actuarial sciences and insurance (namely: demographic risk; management of actuarial risks; management in insurance business; solvency-based approaches); mathematical models for finance (namely: energy markets; fund and portfolio management; methods for derivative pricing; risk and volatility models); statistical models in finance (namely: artificial neural networks; clustering techniques; kernel-based and robust estimation methods; multivariate methods for the analysis of financial markets; non-standard probabilistic models). The book is mainly addressed to academicians, practitioners, professionals and researchers.

Friday, June 24, 2011 | 0 comments | Read More

Free Download | Mathematics content for elementary teachers

Intended as a core textbook for courses on mathematics contents for elementary teachers; it will help teachers develop appropriate background and understanding of the mathematics they will be teaching. THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. 

Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose.The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies.Mathematics Content for Elementary Teachers is based on several fundamental premises:*The focus of mathematics education should be on the process, not the answer.

*Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge.*It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways.*Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts.Pedagogical features:*The text is organized according to NCTM Standards.

Wednesday, June 22, 2011 | 0 comments | Read More

Free Download | Mathematical Models for Speech Technology

This contrasts with some of the superficial similarities described in the existing literature; the historical background and origins of the theories and models; the connections to related disciplines, e.g. artificial intelligence, automata theory and information theory; an elucidation of the current debates and their intellectual origins; many important little-known results and some original proofs of fundamental results, e.g. a geometric interpretation of parameter estimation techniques for stochastic models and finally the author's own unique perspectives on the future of this discipline.

Mathematical Models of Spoken Language presents the motivations for, intuitions behind, and basic mathematical models of natural spoken language communication. A comprehensive overview is given of all aspects of the problem from the physics of speech production through the hierarchy of linguistic structure and ending with some observations on language and mind.

The author comprehensively explores the argument that these modern technologies are actually the most extensive compilations of linguistic knowledge available.Throughout the book, the emphasis is on placing all the material in a mathematically coherent and computationally tractable framework that captures linguistic structure.

Wednesday, June 22, 2011 | 0 comments | Read More

Free Download | Precalculus: based on Schaum's Outline of precalculus | Fred Safier

Authoritative. Concise. Easy-to-Use.Schaum's Easy Outlines are streamlined versions of best-selling Schaum's titles. We've shortened the text, broadened the visual appeal, and introduced study techniques to make mastering any subject easier. The results are reader-friendly study guides with all the impressive academic authority of the originals.Schaum's Easy Outlines feature:Concise text that focuses on the essentials of the courseQuick-study sidebars, icons, and other instructional aidsSample problems and exercises for review.

Tuesday, June 21, 2011 | 0 comments | Read More

Free Download | Pattern Calculus: Computing with Functions and Structures

The book is divided into three parts, on terms, types and programs, and contains many new results. Part I introduces static and then dynamic pattern calculus. The former supports path polymorphic functions, able to traverse arbitrary paths through data structures. It also shows how Lisp is more than just lambda-calculus. The dynamic calculus allows any term to be a pattern, so that patterns can be discovered, combined and simplified on the fly. Part II supports a family of type systems for pattern calculi that build on novel typings of lambda-calculus. The type system for query calculus allows database queries to be applied uniformly to arbitrary data structures, while still guaranteeing that evaluation terminates.

Tuesday, June 21, 2011 | 0 comments | Read More