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SIAM Textbooks 2026

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Textbooks 2026 H I G H L I G H T S INCENTIVE-BASED CONTROL VIA GAME THEORY Dario Bauso & Tamer Başar Advances in Design and Control, Vol. 45 Engineering systems in the new economy are increasingly shaped by sharing – shared logis�cs, joint investments, virtual power plants, and more – a shi� that calls for models that capture decentralized decision-making, resource pooling, and coopera�ve infrastructure. Across produc�on, transporta�on, logis�cs, and energy, a central challenge is modeling and op�mizing collec�ve ac�ons. It aims to bridge game theory and systems and control by developing tools for incen�ve-based control in dynamic, uncertain, and networked mul�agent systems; it extends both coopera�ve and noncoopera�ve game models into a control-oriented framework, emphasizing feedback, learning, and decision-making under uncertainty. Incen�ve-Based Control via Game Theory stands apart from exis�ng literature by offering: • a design-oriented approach that focuses on using game theory to design mechanisms and control strategies that guide selfinterested agents toward stable and socially desirable outcomes in dynamic, uncertain systems; • novel engineering-focused content that introduces advanced topics rarely covered in game theory and engineering texts; and • an applica�on-driven perspec�ve that combines mathema�cal rigor with real-world engineering applica�ons. May 2026 283pp 9781611978919 Paperback £76.00 / US$89.00

LINEAR AND NONLINEAR FUNCTIONAL ANALYSIS WITH APPLICATIONS Second Edition

Philippe G. Ciarlet Other Titles in Applied Mathematics, Vol. 203 This new, considerably expanded edi�on covers the fundamentals of linear and nonlinear func�onal analysis, including distribu�on theory, harmonic analysis, differen�al geometry, calculus of varia�ons, and degree theory. Numerous applica�ons are included, especially to linear and nonlinear par�al differen�al equa�ons and to numerical analysis. All the basic theorems are provided with complete and detailed proofs. The author has added more than 450 pages of new material and more than 210 problems. The solu�ons to all of the problems will be made available on an accompanying website. Two en�rely new chapters, one on locally convex spaces and distribu�on theory and the other on the Fourier transform and Calderón–Zygmund singular integral operators, have also been added. In addi�on, the chapter on the “great theorems” of nonlinear func�onal analysis has been enlarged and split into two chapters, one on the calculus of varia�ons and the other on Brouwer’s theorem, Brouwer’s degree, and Leray–Schauder’s degree. 2025 1,287pp 9781611978230 Hardback £98.00 / US$114.00

MATHEMATICS AND CLIMATE Second Edition

Hans G. Kaper & Hans Engler Winner of the Atmospheric Science Librarians Interna�onal Choice Award as the best book of 2013, Mathema�cs and Climate emphasizes conceptual models that capture cri�cal components of Earth's climate system and answers how and why certain phenomena happen. These models (energy balance-models and temperature distribu�ons, ocean circula�on pa�erns, ice caps and glacia�on cycles, etc.) are used to introduce methods from applied mathema�cs, with emphasis on dynamical systems, bifurca�on and stability theory, Fourier analysis, and sta�s�cs, including regression analysis and extreme value theory. Updated to reflect progress in the discipline, Mathema�cs and Climate, Second Edi�on: • contains a layered atmosphere model for the greenhouse effect, a new chapter on a model for glacial cycles, and updated sec�ons on paleoclimate reconstruc�on; • includes exercises at the end of each chapter to s�mulate cri�cal thinking and communica�on skills; and • provides sugges�ons for further study and more advanced projects, an extensive list of references, and a glossary of terms for the nontechnical reader. Aug 2026 332pp 9781611978872 Paperback £68.00 / US$79.00

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ALGORITHMS FROM THE BOOK

COMPUTATIONAL INVERSE PROBLEMS GOVERNED BY PDEs

Kenneth Lange Other Titles in Mathematics, Vol. 204 Uncovers a mul�disciplinary approach to algorithm development that reveals elegant mathema�cal principles at its core. Explore how simple building blocks combine into complex computa�ons, with hands-on Julia code, prac�cal exercises, and enriched appendices to deepen your understanding of essen�al computa�onal concepts.

Alen Alexanderian Other Titles in Mathematics, Vol. 211 Exploring on computa�onal strategies for inverse problems governed by par�al differen�al equa�ons, this text unifies determinis�c inversion techniques with Bayesian methods. It delves into post-op�mality sensi�vity analysis, op�mal experiment design, and inversion under model uncertainty, backed by theory, examples, and exercises.

2025 341pp 9781611978384 Paperback £64.00 / US$74.00

Mar 2026 320pp 9781611978810 Paperback £76.00 / US$89.00

A FIRST COURSE IN LINEAR OPTIMIZATION

A FIRST COURSE IN MACHINE LEARNING

Amir Beck & Nili Guttmann-Beck Computional Science and Engineering, Vol. 33 Explores the founda�ons of linear op�miza�on as theory seamlessly merges with algorithms and prac�cal applica�ons. This book covers con�nuous and discrete challenges. The material unfolds through examples from network flows, graph coloring, resource alloca�on, and game theory, bolstered by abundant exercises and solu�ons.

Edmond Chow Data Science, Vol. 4 Introduces the fundamental principles of machine learning. Organized into forty-three concise chapters, this book helps students develop intui�on through simple examples that illustrate the o�en complex behaviors of machine learning models. Models and algorithms are discussed mathema�cally and concepts beyond linear algebra and mul�variable calculus are introduced along the way.

Second Edition

2025 370pp 9781611978292 Paperback £64.00 / US$74.00

INTRODUCTION TO NONSMOOTH ANALYSIS AND OPTIMIZATION Christian Clason & Tuomo Valkonen MOS SIAM Series on Optimization, Vol. 38 Explores a rigorous framework for tackling challenges without classical differen�ability in imaging, inverse problems, machine learning, and op�mal control. Emphasizing infinite-dimensional analysis with advanced nonsmooth calculus tools, this text unifies first- and second-order methods, novel results, and prac�cal Julia code.

Oct 2026 373pp 9781611979152 Paperback £72.00 / US$84.00

ORDINARY DIFFERENTIAL EQUATIONS AND APPLIED LINEAR ALGEBRA Second Edition

Aug 2026 447pp 9781611978988 Paperback £81.00 / US$95.00

Todd Kapitula Other Titles in Applied Mathematics, Vol. 209 Integrates essen�al linear algebra and ordinary differen�al equa�ons into a one-semester course that builds theory and prac�ce simultaneously. Students explore applica�ons from SIR models and damped oscillators to pollu�on flow and PageRank via case studies, projects, and over 300 online homework problems. May 2026 314pp 9781611978773 Paperback £72.00 / US$84.00

PERTURBATION METHODS USING BACKWARD ERROR

PROBLEMS AND SOLUTIONS FOR DIFFERENTIAL EQUATIONS

Robert M. Corless & Nicolas Fillion Mathematical Modeling and Computation, Vol. 25 Unique perspec�ve on perturba�on theory unites �me-honored techniques with backward error analysis to uniformly validate solu�ons. Emphasizing model sensi�vity via condi�on numbers, this text delves into renormaliza�on group methods, harnesses Maple for symbolic computa�on, and equips readers with prac�cal exercise solu�ons.

Klaus Höling Other Titles in Applied Mathematics, Vol. 213 Comprises problems and detailed solu�ons that cover the basic topics of a first course on differen�al equa�ons for undergraduates in mathema�cs, engineering, and computer science: first-order differen�al equa�ons, ini�al and boundary value problems for second-order differen�al equa�ons, Laplace transform, systems of differen�al equa�ons, and numerical techniques using Matlab and Maple.

Aug 2026 414pp 9781611978858 Paperback £70.00 / US$81.00

Nov 2026 339pp 9781611979008 Paperback £68.00 / US$79.00

SCIENTIFIC COMPUTING IN MODERN C++ Victor Eijkhout Software, Environments, and Tools, Vol. 33 Advance your C++ skills for scien�fic compu�ng by uncovering subtle language nuances and specialized idioms. This text covers parallelism, Cmake build strategies, and performance tuning, offering valuable insights to transform your coding approach and boost produc�vity in computa�onal research. Jan 2026 479pp 9781611978605 Paperback £76.00 / US$89.00

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