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Books > Science & Mathematics > Mathematics

Elegant Simulations: From Simple Oscillators To Many-body Systems (Hardcover): Julien Clinton Sprott, William Graham Hoover,... Elegant Simulations: From Simple Oscillators To Many-body Systems (Hardcover)
Julien Clinton Sprott, William Graham Hoover, Carol Griswold Hoover
R3,077 Discovery Miles 30 770 Ships in 10 - 15 working days

A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.

Cosmos and Transcendence - Breaking Through the Barrier of Scientistic Belief (Hardcover, 3rd ed.): Wolfgang Smith Cosmos and Transcendence - Breaking Through the Barrier of Scientistic Belief (Hardcover, 3rd ed.)
Wolfgang Smith
R857 R741 Discovery Miles 7 410 Save R116 (14%) Ships in 10 - 15 working days
Plane and Solid Analytic Geometry (Hardcover): Frederick Harold Bailey, Frederick S Woods Plane and Solid Analytic Geometry (Hardcover)
Frederick Harold Bailey, Frederick S Woods
R975 Discovery Miles 9 750 Ships in 12 - 19 working days
Associative Algebraic Geometry (Hardcover): Arvid Siqveland Associative Algebraic Geometry (Hardcover)
Arvid Siqveland
R3,822 Discovery Miles 38 220 Ships in 10 - 15 working days

Classical Deformation Theory is used for determining the completions of the local rings of an eventual moduli space. When a moduli variety exists, a main result in the book is that the local ring in a closed point can be explicitly computed as an algebraization of the pro-representing hull (therefore, called the local formal moduli) of the deformation functor for the corresponding closed point.The book gives explicit computational methods and includes the most necessary prerequisites. It focuses on the meaning and the place of deformation theory, resulting in a complete theory applicable to moduli theory. It answers the question 'why moduli theory' and it give examples in mathematical physics by looking at the universe as a moduli of molecules. Thereby giving a meaning to most noncommutative theories.The book contains the first explicit definition of a noncommutative scheme, covered by not necessarily commutative rings. This definition does not contradict any of the previous abstract definitions of noncommutative algebraic geometry, but rather gives interesting relations to other theories which is left for further investigation.

Key to Advanced Arithmetic for Canadian Schools [microform] (Hardcover): Barnard 1817-1876 Smith, Archibald McMurchy Key to Advanced Arithmetic for Canadian Schools [microform] (Hardcover)
Barnard 1817-1876 Smith, Archibald McMurchy
R930 Discovery Miles 9 300 Ships in 10 - 15 working days
The Blockchain Technology for Secure and Smart Applications across Industry Verticals, Volume 121 (Hardcover): Neeraj Kumar,... The Blockchain Technology for Secure and Smart Applications across Industry Verticals, Volume 121 (Hardcover)
Neeraj Kumar, Shubhani Aggarwal, Pethuru Raj
R5,018 R4,207 Discovery Miles 42 070 Save R811 (16%) Ships in 12 - 19 working days

The Blockchain Technology for Secure and Smart Applications across Industry Verticals, Volume 121, presents the latest information on a type of distributed ledger used for maintaining a permanent and tamper-proof record of transactional data. The book presents a novel compendium of existing and budding Blockchain technologies for various smart applications. Chapters in this new release include the Basics of Blockchain, The Blockchain History, Architecture of Blockchain, Core components of Blockchain, Blockchain 2.0: Smart Contracts, Empowering Digital Twins with Blockchain, Industrial Use Cases at the Cusp of the IoT and Blockchain Paradigms, Blockchain Components and Concepts, Digital Signatures, Accumulators, Financial Systems, and more. This book is a unique effort to illuminate various techniques to represent, improve and authorize multi-institutional and multidisciplinary research in a different type of smart applications, like the financial system, smart grid, transportation system, etc. Readers in identity-privacy, traceability, immutability, transparency, auditability, and security will find it to be a valuable resource.

Geometric Partial Differential Equations - Part 2, Volume 22 (Hardcover): Andrea Bonito, Ricardo H. Nochetto Geometric Partial Differential Equations - Part 2, Volume 22 (Hardcover)
Andrea Bonito, Ricardo H. Nochetto
R6,336 R5,307 Discovery Miles 53 070 Save R1,029 (16%) Ships in 12 - 19 working days

Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering.

Burton Holmes Travelogues - St. Petersburg. Moscow. the Trans-Siberian Railway (Hardcover): Burton Holmes Burton Holmes Travelogues - St. Petersburg. Moscow. the Trans-Siberian Railway (Hardcover)
Burton Holmes
R972 Discovery Miles 9 720 Ships in 12 - 19 working days
Plane and Solid Geometry Essentials (Hardcover): James Elander Plane and Solid Geometry Essentials (Hardcover)
James Elander
R986 Discovery Miles 9 860 Ships in 12 - 19 working days
The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling (Paperback): Amit Kumar, Mangey Ram The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling (Paperback)
Amit Kumar, Mangey Ram
R5,267 Discovery Miles 52 670 Ships in 12 - 19 working days

The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling discusses the many factors affect reliability and performance, including engineering design, materials, manufacturing, operations, maintenance, and many more. Reliability is one of the fundamental criteria in engineering systems design, with maintenance serving as a way to support reliability throughout a system's life. Addressing these issues requires information, modeling, analysis and testing. Different techniques are proposed and implemented to help readers analyze various behavior measures (in terms of the functioning and performance) of systems.

Stochastic Integral And Differential Equations In Mathematical Modelling (Hardcover): Santanu Saha Ray Stochastic Integral And Differential Equations In Mathematical Modelling (Hardcover)
Santanu Saha Ray
R3,100 Discovery Miles 31 000 Ships in 10 - 15 working days

The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes - either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random fluctuations.This research monograph concerns analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes. The first chapter of the book provides a theoretical basis for working with SDEs and stochastic processes.This book has been written in a simple and clear mathematical logical language. The basic definitions and theorems on stochastic calculus have been provided initially. Each chapter contains illustrated examples via figures and tables. Problems are included which will help readers understand the theories better. Also, the reader can construct new wavelets by using the procedure presented in the book. It will certainly fill up the blank space that the lack of a comprehensive book has caused.

AI and Cloud Computing, Volume 120 (Hardcover): Suyel Namasudra, Sheng Wu AI and Cloud Computing, Volume 120 (Hardcover)
Suyel Namasudra, Sheng Wu
R4,984 R4,173 Discovery Miles 41 730 Save R811 (16%) Ships in 12 - 19 working days

AI and Cloud Computing, Volume 120 in the Advances in Computers series, highlights new advances in the field, with this updated volume presenting interesting chapters on topics including A Deep-forest based Approach for Detecting Fraudulent Online Transaction, Design of Cyber-Physical-Social Systems with Forensic-awareness Based on Deep Learning, Review on Privacy-preserving Data Comparison Protocols in Cloud Computing, Fingerprint Liveness Detection Using an Improved CNN with the Spatial Pyramid Pooling Structure, Protecting Personal Sensitive Data Security in the Cloud with Blockchain, and more.

Text book of the principles of physics (Hardcover): Alfred Daniell Text book of the principles of physics (Hardcover)
Alfred Daniell
R1,356 R1,212 Discovery Miles 12 120 Save R144 (11%) Ships in 10 - 15 working days
Making up Numbers - A History of Invention in Mathematics (Hardcover, Hardback ed.): Ekkehard Kopp Making up Numbers - A History of Invention in Mathematics (Hardcover, Hardback ed.)
Ekkehard Kopp
R1,365 Discovery Miles 13 650 Ships in 12 - 19 working days
Tools of Systems Thinkers - Learn Advanced Deduction, Decision-Making, and Problem-Solving Skills with Mental Models and System... Tools of Systems Thinkers - Learn Advanced Deduction, Decision-Making, and Problem-Solving Skills with Mental Models and System Maps. (Hardcover)
Albert Rutherford
R794 Discovery Miles 7 940 Ships in 12 - 19 working days
Math QRH - Algebra II to Calculus III (Hardcover): Katarina Costa Math QRH - Algebra II to Calculus III (Hardcover)
Katarina Costa
R2,500 Discovery Miles 25 000 Ships in 10 - 15 working days
Hardy Inequalities on Homogeneous Groups (Hardcover): Durvudkhan Suragan, Michael Ruzhansky Hardy Inequalities on Homogeneous Groups (Hardcover)
Durvudkhan Suragan, Michael Ruzhansky
R1,992 Discovery Miles 19 920 Ships in 10 - 15 working days
Texture and Colour in Image Analysis (Hardcover): Francesco Bianconi, Antonio Fernandez, Raul E Sanchez-Yanez Texture and Colour in Image Analysis (Hardcover)
Francesco Bianconi, Antonio Fernandez, Raul E Sanchez-Yanez
R1,742 R1,505 Discovery Miles 15 050 Save R237 (14%) Ships in 10 - 15 working days
A Compendium of the Census of Massachusetts - 1875 (Hardcover): Massachusetts Bureau of Statistics O A Compendium of the Census of Massachusetts - 1875 (Hardcover)
Massachusetts Bureau of Statistics O; Carroll Davidson 1840-1909 Wright
R941 Discovery Miles 9 410 Ships in 12 - 19 working days
Linear Algebra: Core Topics For The Second Course (Hardcover): Dragu Atanasiu, Piotr Mikusinski Linear Algebra: Core Topics For The Second Course (Hardcover)
Dragu Atanasiu, Piotr Mikusinski
R3,082 Discovery Miles 30 820 Ships in 10 - 15 working days

This is a book for the second course in linear algebra whereby students are assumed to be familiar with calculations using real matrices. To facilitate a smooth transition into rigorous proofs, it combines abstract theory with matrix calculations.This book presents numerous examples and proofs of particular cases of important results before the general versions are formulated and proved. The knowledge gained from a particular case, that encapsulates the main idea of a general theorem, can be easily extended to prove another particular case or a general case. For some theorems, there are two or even three proofs provided. In this way, students stand to gain and study important results from different angles and, at the same time, see connections between different results presented in the book.

In Memoriam, Solomon Marcus (Hardcover): Cristian S. Calude, Gheorghe Paun In Memoriam, Solomon Marcus (Hardcover)
Cristian S. Calude, Gheorghe Paun
R1,128 R1,003 Discovery Miles 10 030 Save R125 (11%) Ships in 10 - 15 working days
Gamma Solution - An Application of Metrics to the Comparison of Complete Gamma Function Solution Algorithms (Hardcover): James... Gamma Solution - An Application of Metrics to the Comparison of Complete Gamma Function Solution Algorithms (Hardcover)
James R Warren
R1,338 R1,131 Discovery Miles 11 310 Save R207 (15%) Ships in 10 - 15 working days
Note-book on Plane Geometrical Drawing - With a Chapter on Scales, and an Introduction to Graphic Statics (Hardcover): Robert... Note-book on Plane Geometrical Drawing - With a Chapter on Scales, and an Introduction to Graphic Statics (Hardcover)
Robert Harris
R936 Discovery Miles 9 360 Ships in 12 - 19 working days
Mathematical Methods of Analytical Mechanics (Hardcover): Henri Gouin Mathematical Methods of Analytical Mechanics (Hardcover)
Henri Gouin
R8,043 R5,494 Discovery Miles 54 940 Save R2,549 (32%) Ships in 12 - 19 working days

Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry.

Fixed Point Theory and Its Related Topics II (Hardcover): Fixed Point Theory and Its Related Topics II (Hardcover)
R1,328 R1,166 Discovery Miles 11 660 Save R162 (12%) Ships in 10 - 15 working days
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