First Math

本書由資深數學教師編寫，包含比多少、幾和第幾、找規律、填數、移多補少、單數和雙數、巧算速算等重要的學習主題，每個主題皆有「專題簡析」說明原理、「王牌例題」分析解法，加上演練題型，讓孩子先了解基本概念和解題方法，再反覆練習演算，增進邏輯思考能力，甚至能舉一反三，解答相關題型；書後附解答，可立即核對，加深印象，累積實力，是強化孩子數學能力的最佳輔助書籍。

Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life – from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material, learning everything needed to understand category theory, and then key concepts in category theory like natural transformations, duality, and even a glimpse of ongoing research in higher-dimensional category theory. For fans of How to Bake Pi, this will help you dig deeper into mathematical concepts and build your mathematical back

A beautiful celebration of friendship, math, and art that honors different ways of seeing and being in the world.Oneboyloves numbers.Everywhere he lookshe sees things to count.His classmates don’t understand counting like he does.A new girl loves patterns.Could she bea friendforLeo?With sensitivity and nuance, this tender friendship story illuminates the beauty in our differences and celebrates our connections to one another.Debut author Monica Wesolowska’s text is masterfully conceived and constructed to reflect Leo’s love of numbers. Young readers can count the number of words per page and discover how they echo the Fibonacci Sequence, a mathematical series in which each number is the sum of the previous two: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on to infinity! Even the color scheme in Kenard Pak’s striking illustrations follows a mathematical progression, bringing an underlying order and tranquility to the story. The mesmerizing symmetry of this fascinating and compulsively playable

Victoria Shorr's remarkable gift for depicting the inner lives of complex characters shines in two powerful explorations of family, ambition, class, and status.In "Great Uncle Edward," a family gathers for dinner. At 93, Great Uncle Edward commands the table in his three-piece suit; Cousin Russell attended both Harvard and Yale but is now reduced to selling off the family books; sisters Betty and Molly are caught between ghosts of a storied past and creeping destitution. These lives are signposts along the downward spiral of an old aristocracy."Cleveland Auto Wrecking" introduces Sam White, an immigrant from somewhere in eastern Europe. He cannot read, but has a gift for math and an instinct for the value of junk. We follow his clan through the Depression to the postwar boom in the West, where their fortunes soar, creating new tests of loyalty.

A clear-eyed warning about the increasingly destructive influence of America’s “shame industrial complex” in the age of social media and hyper-partisan politics―from the New York Times bestselling author of Weapons of Math DestructionShame is a powerful and sometimes useful tool: When we publicly shame corrupt politicians, abusive celebrities, or predatory corporations, we reinforce values of fairness and justice. But as Cathy O’Neil argues in this revelatory book, shaming has taken a new and dangerous turn. It is increasingly being weaponized―used as a way to shift responsibility for social problems from institutions to individuals. Shaming children for not being able to afford school lunches or adults for not being able to find work lets us off the hook as a society. After all, why pay higher taxes to fund programs for people who are fundamentally unworthy?O’Neil explores the machinery behind all this shame, showing how governments, corporations, and the healthcare system capitalize

Can pigeons do math? How long would it take to drive to the moon? What happens when a seahorse gets angry? Discover the answers to these questions and more in this kid-friendly book of fun, fascinating Q&As!Got a random question? This book has the answer! Filled with cool photos and crazy curiosities, Totally Random Questions Volume 2 presents snack-sized answers to a series of wacky and fascinating questions about our wonderfully weird world! Kids will love testing their knowledge and stumping their friends with the unlikely info they’ll find inside covering animals, science, sports, food, pop culture, and more. Written and designed to make any kid an instant genius―and maybe even a few parents too! Find other fascinating facts and eye-popping imagery in the other books in this series!

Support students by helping them identify and practice positive behaviors and develop empathy with Social and Emotional Learning Activities. Research shows that SEL experiences improve student achievement, reduce stress, and increase positive behaviors such as kindness, gratitude, and empathy.Social and Emotional Learning Activities includes 100+ engaging activities that help you weave social and emotional learning activities into the busy school day! Activities include skill practice across the curriculum by incorporating writing, reading, math, social studies, and cultural diversity into SEL instruction.Each unit has a different SEL focus and includes a teacher page with an introduction and corresponding activity pages. Children will learn positive behaviors, develop self-love, and learn empathy through:Real-world scenariosMindfulness activitiesCommunication activitiesCreative writingMazes, puzzles, and gamesArt projectsCritical thinking and problem solvingActivities may be used for

Support students by helping them identify and practice positive behaviors and develop empathy with Social and Emotional Learning Activities. Research shows that SEL experiences improve student achievement, reduce stress, and increase positive behaviors such as kindness, gratitude, and empathy.Social and Emotional Learning Activities includes 100+ engaging activities that help you weave social and emotional learning activities into the busy school day! Activities include skill practice across the curriculum by incorporating writing, reading, math, social studies, and cultural diversity into SEL instruction.Each unit has a different SEL focus and includes a teacher page with an introduction and corresponding activity pages. Children will learn positive behaviors, develop self-love, and learn empathy through:Real-world scenariosMindfulness activitiesCommunication activitiesCreative writingMazes, puzzles, and gamesArt projectsCritical thinking and problem solvingActivities may be used for

Support students by helping them identify and practice positive behaviors with Social and Emotional Learning Activities. Research shows that SEL experiences improve student achievement, reduce stress, and increase positive behaviors such as kindness, gratitude, and empathy.Social and Emotional Learning Activities includes 100+ engaging activities that help you weave social and emotional learning activities into the busy school day! Activities include skill practice across the curriculum by incorporating writing, reading, math, social studies, and cultural diversity into SEL instruction.Each unit has a different SEL focus and includes a teacher page with an introduction and corresponding activity pages. Children will learn positive behaviors and self-image through:Hypothetical scenariosCreative writingMazes, puzzles, and gamesArt projectsCritical thinking and problem solvingActivities may be used for whole-class instruction or small groups, or completed individually at home. The nine un

Support students by helping them identify and practice positive behaviors and develop empathy with Social and Emotional Learning Activities. Research shows that SEL experiences improve student achievement, reduce stress, and increase positive behaviors such as kindness, gratitude, and empathy.Social and Emotional Learning Activities includes 100+ engaging activities that help you weave social and emotional learning activities into the busy school day! Activities include skill practice across the curriculum by incorporating writing, reading, math, social studies, and cultural diversity into SEL instruction.Each unit has a different SEL focus and includes a teacher page with an introduction and corresponding activity pages. Children will learn positive behaviors, develop self-love, and learn empathy through:Real-world scenariosMindfulness activitiesCommunication activitiesCreative writingMazes, puzzles, and gamesArt projectsCritical thinking and problem solvingActivities may be used for

Machine learning-a computer's ability to learn-is transforming our world: it is used to understand images, process text, make predictions by analyzing large amounts of data, and much more. It can be used in nearly every industry to improve efficiency and help stakeholders make better decisions. Whatever your industry or hobby, chances are that these modern artificial intelligence methods will be useful to you as well.Introduction to Machine Learning weaves reproducible coding examples into explanatory text to show what machine learning is, how it can be applied, and how it works. Perfect for anyone new to the world of AI or those looking to further their understanding, the text begins with a brief introduction to the Wolfram Language, the programming language used for the examples throughout the book. From there, readers are introduced to key concepts before exploring common methods and paradigms such as classification, regression, clustering, and deep learning. The math content is kep

Young, Munson and Okiishi's A Brief Introduction to Fluid Mechanics is designed to cover the standard topics in a basic fluid mechanics course in a streamlined manner that meets the learning needs of students better than the encyclopedic style of traditional texts. The text lucidly presents basic analysis techniques and addresses practical concerns and applications with a strong visual approach. This approach helps students connect the math and theory to the physical world and practical applications and apply these connections to solving problems. This adapted edition of the book comes with updates that clarify, enhance, and expand certain ideas and concepts. It includes new sections on Finite Control Volume Analysis, Compressible Flow, Equilibrium of Moving Fluids, Most Efficient Channel Section. The new examples and problems build upon the understanding of engineering applications of fluid mechanics and the edition has been completely updated to use SI units.

《普通高等教育“十二五”規劃教材：高等數學（套裝共2冊）》的上冊內容包括緒論，函數、極限與連續，導數與微分，微分中值定理與導數的應用，不定積分，定積分，定積分的應用，空間解析幾何與矢量代數8章內容．書末附有初等數學常用知識、幾種常用曲線及其方程、積分表、Mathematica軟件包的常用系統函數．全書每節後都配有精選的習題，既有基礎題又有應用廣泛的綜合題，每章後還附有分層次教學測試練習題、Math

Get everything you need to prepare for a successful career as a pharmacy technician in one easy-to-read textbook Useful from day one through graduation, Mosby's Pharmacy Technician: Principles and Practice, 6th Edition includes comprehensive information on pharmacy practice, anatomy and physiology, math calculation, and pharmacology. Built from the ground up to map directly to American Society for Health-System Pharmacists (ASHP) accreditation competencies and to the accepted certification exams, this approachable text covers everything from processing and handling of medications and medication orders to patient safety, quality assurance, and regulation and compliance. It also features a rich art program with equipment close-ups, clinical procedures and processes, and body system illustrations that bring the content to life and visually reinforce your understanding of key concepts. With its clear writing, expert insight, and engaging study tools, this text will help you develop a solid

Learn Quantum Computing with Python and Q# introduces quantum computing from a practical perspective. Summary Learn Quantum Computing with Python and Q# demystifies quantum computing. Using Python and the new quantum programming language Q#, you'll build your own quantum simulator and apply quantum programming techniques to real-world examples including cryptography and chemical analysis. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Quantum computers present a radical leap in speed and computing power. Improved scientific simulations and new frontiers in cryptography that are impossible with classical computing may soon be in reach. Microsoft's Quantum Development Kit and the Q# language give you the tools to experiment with quantum computing without knowing advanced math or theoretical physics. About the book Learn Quantum Computing with Python and Q# introduces quantum computing from a practical pers

這是一本具有高中數學知識就能讀懂的機器學習圖書，書中通過大量程序實例，將複雜的公式重新拆解，詳細、清晰地解讀了機器學習中常用的數學知識，一步步帶領讀者進入機器學習的領域。本書共 22 章，主要講解了數據可視化、math 模塊、sympy 模塊、numpy 模塊、方程式、函數、*小平方法、集合、概率、貝葉斯定理、指數、對數、歐拉數、邏輯函數、三角函數、大型運算符、向量、矩陣與線性回歸等數學知識。

Presenting a fresh look at process control, this new text demonstrates state-space approach shown in parallel with the traditional approach to explain the strategies used in industry today. Modern time-domain and traditional transform-domain methods are integrated throughout and explain the advantages and limitations of each approach; the fundamental theoretical concepts and methods of process control are applied to practical problems. To ensure understanding of the mathematical calculations involved, MATLAB® is included for numeric calculations and MAPLE for symbolic calculations, with the math behind every method carefully explained so that students develop a clear understanding of how and why the software tools work. Written for a one-semester course with optional advanced-level material, features include solved examples, cases that include a number of chemical reactor examples, chapter summaries, key terms, and concepts, as well as over 240 end-of-chapter problems, focused computat

★★★【新課綱適用】STEAM新素養‧五大學科‧跨領域學習法★★★＝科學（Science）X技術（Technology）X工程（Engineering）X藝術（Art）X數學（Math）從歷史演變了解科學脈動，從生活小事理解龐大科學概念【全彩漫畫】圖解中小學必備科學概念，奠定國高中理化扎實基礎（第一冊加贈「科學史大事紀」拉頁）★韓國學校圖書館推薦★韓國科技部優秀科學圖書★韓國文化產業振興院優秀漫畫

Over the past three decades, research efforts and interventions have been implemented across the United States to increase the persistence of underrepresented minority (URM) students in science, technology, engineering, and math (STEM). This Element systematically compares STEM interventions that offer resources and opportunities related to mentorship, research, and more. We organize the findings of this literature into a multi-phase framework of STEM integration and identity development. We propose four distinct phases of STEM integration: Phase 1: High School; Phase 2: Summer before College; Phase 3: First Year of College; and Phase 4: Second Year of College through Graduation. We combine tenets of theories about social identity, stereotypes and bias, and the five-factor operationalization of identity formation to describe each phase of STEM integration. Findings indicate the importance of exploration through exposure to STEM material, mentorship, and diverse STEM communities. We ge

本書收集了106個幾何題目,這些題目來自 Awesome Math夏季課程對美國乃至全球的頂尖初、高中學生進行的訓練測試.本書設置了入門題和提高題,內容由易到難,對大量風格不同難度各異的題目進行總結歸類,書中為每一道題都提供了詳細解法,並致力於把解題步驟背後的解題方法與思路傳授給讀者。

A charming introduction to simple money concepts in which a bunny learns he can't buy everything he wants with his allowance!Sonny gets three whole carrots a week for his allowance and wants to buy everything! But he quickly discovers his money won't go that far, and he has to make some choices. That doesn't sound like much fun to Sonny, especially when he learns that the bouncy castle he's been eyeing goes for ONE HUNDRED carrots. Ridiculous! But eventually, after a little math and a little more thinking, he has a blast discovering what's really important to him and worth spending his carrots on. This is one of the four books in the internationally acclaimed Moneybunny Books series that also includes Earn It!, Give It!, and Save It!

★★★結合科學（Science）、技術（Technology）、工程（Engineering）、藝術（Art）及數學（Math）的STEAM學習方式！★★★從歷史演變了解科學脈動，從生活小事理解龐大科學概念【全彩漫畫】圖解中小學必備科學概念，奠定國高中理化扎實基礎涵蓋物理、化學、生物、數學、天文……基礎科學知識一把抓韓國學校圖書館、韓國科技部推薦優良科學圖書★韓國學校圖書館推薦★韓國科技部優秀科學

A revised 4th edition of this guide to everything prospective teachers need to know to achieve a high score on the CBEST (California Basic Educational Skills Test), the standardized credentialing exam used for public school teachers in California and Oregon.CBEST Prep, 4th Edition is a comprehensive guide to the skills needed to ace the California Basic Educational Skills Test. This exam is used by California and Oregon to test and credential public school teachers, administrators, and other school practitioners. The exam tests proficiency in reading, mathematics, and writing (not teaching skills). The Princeton Review's guidebook teaches readers precisely what they need to know to ace the exam, with topic reviews, drills and practice questions, and 3 full-length practice exams for test-takers to use in their preparation. This new edition features an expanded section on CBEST math.

李貞慧老師 親子大手拉小手第五章－從繪本認識世界(共21本)EAN商品名稱定價9780689869907Beatrice's Goat3159780062447616Bloom: A Story of Fashion Designer Elsa Schiaparelli6309781101996683Girl Running6309780062742469Hidden Figures ─ The True Story of Four Black Women and the Space Race6659780802854803I Like, I Don't Like (精裝本)5609781847808967Imagine7149781580893862Magic Trash: A Story of Tyree Guyton and His Art2789781534400597Mommy's Khimar6309781772780109My Beautiful Birds6639780618150779My Nose, Your Nose5959780811872355On a Beam of Light ─ A Story of Albert Einstein (精裝本)6309781481461313Pocket Full of Colors ─ The Magical World of Mary Blair, Disney Artist Extraordinaire6659781771380478School Days Around the World7589780399169069Sisters and Champions ― The Story of Venus and Serena Williams6309781481416474Strictly No Elephants (精裝本)6309781596433076The Boy Who Loved Math ─ The Improbable Life of Paul Erdos (精裝本)7009781250153562The Breaking News7009780763690847The Treasure Box6659780399172588The Water Princess (精裝本)6309

Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.

MATLAB是專為工程師和科學家設計的全球通用標準計算工具。《MATLAB編程和工程應用(第4版)》在各種實例的引導下展示MATLAB在工程和科學領域的廣泛應用，為您學習基本MATLAB編程原理奠定堅實基礎。本書在上一版的基礎上做了全面細緻的更新，涵蓋MATLAB的Simulink和Symbolic Math工具箱等最新功能；第5章引入了生成三維隱函數的曲面和等值線圖等新功能；第10章包含很多更新

This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers in mathematics and mathematical physics, this treatment is largely self-contained, taking the reader from the basics, with complete proofs, to much more advanced topics, with almost complete proofs. Many of the proofs are based on general categorical results; the same approach can then be used in the study of other Hopf-type algebras, for example Turaev or Zunino Hopf algebras, Hom-Hopf algebras, Hopfish algebras, and in general any algebra for which the category of representations is monoidal. Newcomers to the subject will appreciate the detailed introduction to (braided) monoidal categories, (co)algebras and the other tools they will need in this area. More advanced readers will benefit from having recent research gathered in one place, with open questions to inspire their own research.

本書特色 本書利用圖示、範例以及有趣的數學模型，讓數以千計的學生得以一窺工程數學的堂奧。全書共 12 章，內容包含常微分方程式；矩陣、線性代數與線性微分方程組；向量分析；傅立葉分析以及偏微分方程式。 全書包含許多範例和習題，幫助學生真正理解所涉及的概念，而不是只列出機械式步驟。此外，「數往知來」( Math in Context) 專欄，由工程師撰寫，對數學如何應用在各種現實世界的工程專案和環

本書特色 O’Neil 所著《高等工程數學》第八版包括下列幾個特點，旨在使學生更容易接近數學以及對數學產生興趣： •新增「數往知來」(Math in Context)，是由工程師為工程學生編寫的短文，從他們的角度提供洞察力，了解數學如何在各種現實世界的工程專案和設置中出現。•本書的架構重新設計，以便更有效地關注特定主題。例如，增加了史特姆 李歐維里的問題、波動和熱方程式的解法，包括處理驅動函數的

Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarl

This volume provides a practical introduction to the method of maximum likelihood as used in social science research. Ward and Ahlquist focus on applied computation in R and use real social science data from actual, published research. Unique among books at this level, it develops simulation-based tools for model evaluation and selection alongside statistical inference. The book covers standard models for categorical data as well as counts, duration data, and strategies for dealing with data missingness. By working through examples, math, and code, the authors build an understanding about the contexts in which maximum likelihood methods are useful and develop skills in translating mathematical statements into executable computer code. Readers will not only be taught to use likelihood-based tools and generate meaningful interpretations, but they will also acquire a solid foundation for continued study of more advanced statistical techniques.

This volume provides a practical introduction to the method of maximum likelihood as used in social science research. Ward and Ahlquist focus on applied computation in R and use real social science data from actual, published research. Unique among books at this level, it develops simulation-based tools for model evaluation and selection alongside statistical inference. The book covers standard models for categorical data as well as counts, duration data, and strategies for dealing with data missingness. By working through examples, math, and code, the authors build an understanding about the contexts in which maximum likelihood methods are useful and develop skills in translating mathematical statements into executable computer code. Readers will not only be taught to use likelihood-based tools and generate meaningful interpretations, but they will also acquire a solid foundation for continued study of more advanced statistical techniques.

The Arctic ecosystem is changing. The temperature is getting warmer, and the polar ice is melting. Polar scientists from around the world study the Arctic because changes there affect the entire planet. What have they found? Discover why it's so important to save the Arctic! Created in collaboration with the Smithsonian Institution, this book builds students' literacy skills while fostering curiosity, creativity, and innovation. The hands-on STEAM challenge is ideal for makerspace activities, and guides students through every stage of the engineering design process. This book features: • Real-world examples provide insight into how the engineering design process is used to solve real-world problems• Content that highlights every component of STEAM: science, technology, engineering, art, and math• Career advice from Smithsonian employees working in STEAM fields• Dynamic images and text features enhance the reading experience and build visual literacy

循序漸進的系統性學習，輔以說明性的圖表，打破數學艱澀難懂的迷思《圖解數學辭典》陪伴孩子越過小學到高中學習數學的各道關卡！數學這門學問是以數字和符號，探討大小、圖形和量之間有什麼關係。本書將數學分為：「數」、「圖形、空間、實測」、「代數」和「資料處理」四大領域，搭配超過300個清晰易懂的圖表，與100多道演算例題，以清楚簡明的定義介紹500多個主要的數學詞彙與概念。編排條理清晰、圖解詳實，有助於讀者

Electric vehicles, or EVs, have been around for over 100 years. The first EV that people could buy went on sale in 1894. The "Electrobat" could go 25 miles on one battery charge. Today's EVs are light, speedy, affordable, and can travel far on a single charge. Learn why modern EVs are enticing drivers to "dump the pump" and how EVs have evolved over time! Created in collaboration with the Smithsonian Institution, this book builds students' literacy skills while fostering curiosity, creativity, and innovation. The hands-on STEAM challenge is ideal for makerspace activities, and guides students through every stage of the engineering design process. This book features: • Real-world examples provide insight into how the engineering design process is used to solve real-world problems• Content that highlights every component of STEAM: science, technology, engineering, art, and math• Career advice from Smithsonian employees working in STEAM fields• Dynamic images and text features e

This playful preschool activity book will unleash your child's curiosity and creativity as they play their way through amazing STEM projects.Perfect for kids ages 3-6, this early learning children's book will excite little ones by revealing the everyday ways they can be an engineer. Children are born with everything they need to be great engineers: inquisitive minds, unlimited imagination, and super senses. With Look I'm an Engineer, little readers are encouraged to use their senses to investigate how to make the strongest paper bridges, how to power a tugboat with an elastic band, which materials make the best parachutes, and much more. Every fun project features a mixture of bright photography and charming illustrations which support the easy-to-follow activity instructions. These wonderful hands-on activities align with subjects taught at school, including science, math, and technology. Little ones have the opportunity to do what they do best: imagine, create, learn, problem solve,

Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrame

This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.

A charming compendium of anecdotes, fun facts, and grin-inducing historical photos of cats on daring expeditions, and the seamen who went with themWhile the extraordinary exploits of the seafarers who mapped the world have been well documented, those of their indispensable pest controllers, shipmates, and mascots haven’t—until now. Drawing on journals, newspaper reports, photographs, and more, Seafurrers provides us with a cat’s-eye view of maritime history. Forty tales recount the adventures of these valiant felines and point out nuggets of trivia along the way, including:The math behind the damage rats could do on shipsHow flying fish (and even squid) “fly”Why cats don’t get scurvy.This deft genealogy of cat-human friendship is sure to leave readers with a new appreciation of the cats who helped us at sea (and those we helplessly serve at home).

The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appe